Topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the "Algebra I Worked Examples" playlist.

- Simple Equations
- Equations 2
- Equations 3
- Algebra: Linear Equations 4
- Algebra: Solving Inequalities
- Algebra: graphing lines 1
- Algebra: Slope and Y-intercept intuition
- Algebra: Slope
- Algebra: Slope 2
- Algebra: Slope 3
- Algebra: Equation of a line
- Slope and Y-intercept Intuition
- Averages
- Integer sums
- Taking percentages
- Growing by a percentage
- Another Percent Word Problem
- More percent problems
- systems of equations
- Introduction to Ratios (new HD version)
- Ratio problem with basic algebra (new HD)
- More advanced ratio problem--with Algebra (HD version)
- Alternate Solution to Ratio Problem (HD Version)
- Introduction to Ratios
- Advanced ratio problems
- Age word problems 1
- Age word problems 2
- Age word problems 3
- Level 1 multiplying expressions
- Solving a quadratic by factoring
- i and Imaginary numbers
- Complex Numbers (part 1)
- Complex Numbers (part 2)
- Introduction to the quadratic equation
- Quadratic Equation part 2
- Completing the square
- Quadratic Formula (proof)
- Quadratic Inequalities
- Quadratic Inequalities (Visual Explanation)
- Introduction to functions
- Functions Part 2
- Functions (Part III)
- Functions (part 4)
- Domain of a function
- Proof: log a + log b = log ab
- Proof: A(log B) = log (B^A), log A - log B = log (A/B)
- Proof: log_a (B) = (log_x (B))/(log_x (A))
- Algebraic Long Division
- Introduction to Conic Sections
- Conic Sections: Intro to Circles
- Conic Sections: Intro to Ellipses
- Conic Sections: Intro to Hyperbolas
- Conic Sections: Hyperbolas 2
- Conic Sections: Hyperbolas 3
- Identifying Conics 1
- Identifying Conics 2
- Conic Identification 3
- Foci of an Ellipse
- Foci of a Hyperbola
- Proof: Hyperbola Foci
- Partial Fraction Expansion 1
- Partial Fraction Expansion 2
- Partial Fraction Expansion 3
- Parabola Focus and Directrix 1
- Focus and Directrix of a Parabola 2
- Two Passing Bicycles Word Problem
- Passed Bike Word Problem
- Passing Trains
- Overtaking Word Problem
- Early Train Word Problem
- Officer on Horseback
- Rational Inequalities
- Rational Inequalities 2
- Interesting Polynomial Coefficient Problem
- Geometric series sum to figure out mortgage payments
- Introduction to Function Inverses
- Function Inverse Example 1
- Function Inverses Example 2
- Function Inverses Example 3
- Direct and Inverse Variation
- Recognizing Direct and Inverse Variation
- Recognizing Odd and Even Functions
- Connection between even and odd numbers and functions

180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the "Algebra" playlist if you've never seen algebra before or if you want instruction on topics in Algebra II. Use this playlist to see a ton of example problems in every topic in the California Algebra I Standards. If you can do all of these problems on your own, you should probably test out of Algebra I (seriously).

- Solving Equations 1
- Solving Equations 2
- Solving Equations with the Distributive Property
- Solving equations with the distributive property 2
- Algebraic Word Problem
- Sum of Consecutive Odd Integers
- Example of Solving for a Variable
- Solving for a Variable 2
- Absolute Value 1
- Absolute Value and Number Lines
- Absolute Value Equations 1
- Absolute Value Equation Example 2
- Patterns in Sequences 1
- Patterns in Sequences 2
- Equations of Sequence Patterns
- Finding the 100th Term in a Sequence
- Functional Relationships 1
- Testing if a relationship is a function
- Domain and Range 1
- Domain and Range 2
- Direct Variation 1
- Basic Rate Problem
- Basic Linear Function
- Exploring linear relationships
- Recognizing Linear Functions
- Exploring nonlinear relationships
- Slope of a line
- Slope Example
- X and Y intercepts
- X and Y intercepts 2
- Graphing a line in slope intercept form
- Equation of a line
- Converting to slope-intercept form
- Point-slope and standard form
- Parallel Lines
- Parallel Lines 2
- Parallel lines 3
- Perpendicular Lines
- Perpendicular lines 2
- Interpreting Inequalities
- Solving Inequalities
- Inequalities
- Absolute value inequalities
- Absolute Inequalities 2
- Absolute value inequalities 3
- Writing and using inequalities
- Writing and using inequalities 2
- Writing and using inequalities 3
- Solving and graphing linear inequalities in two variables
- Graphing linear inequalities in two variables
- Graphing linear inequalities in two variables
- Solving systems by graphing
- Solving systems by graphing 2
- Solving systems by graphing 3
- Solving systems by substitution 1
- Solving systems by substitution 2
- Solving systems by substitution 3
- Solving systems by elimination
- Solving systems by elimination 2
- Solving systems by elimination 3
- Systems and rate problems
- Systems and rate problems 2
- Systems and rate problems 3
- Mixture problems 1
- Mixture problems 2
- Mixture problems 3
- Graphing systems of inequalities
- Graphing systems of inequalities 2
- Graphing systems of inequalities 3
- Exponent Rules 1
- Exponent Rules 2
- Exponent Rules 3
- Scientific notation 1
- Scientific notation 2
- Scientific notation 3
- Simplifying Expressions with Exponents
- Simplifying Expressions with Exponents 2
- Simplifying Expressions with Exponents 3
- Pythagorean Theorem 1
- Pythagorean Theorem 2
- Pythagorean Theorem 3
- Simplifying Radical Expressions1
- Simplifying Radical Expressions 2
- Simplifying Radical Expressions 3
- Solving Radical Equations 1
- Solving Radical Equations 2
- Solving Radical Equations 3
- Applying Radical Equations 1
- Applying Radical Equations 2
- Applying Radical Equations 3
- Fractional Exponent Expressions 1
- Fractional Exponent Expressions 2
- Fractional Exponent Expressions 3
- Multiplying and Dividing Monomials 1
- Multiplying and Dividing Monomials 2
- Multiplying and Dividing Monomials 3
- Polynomials1
- Polynomials 2
- Adding and Subtracting Polynomials 1
- Adding and Subtracting Polynomials 2
- Adding and Subtracting Polynomials 3
- Multiplying Polynomials1
- Multiplying Polynomials 2
- Multiplying Polynomials 3
- Special Products of Polynomials 1
- Special Products of Polynomials 2
- U08_L2_T4_we3 Special Products of Polynomials 3
- Bay Area CBS Station with Salman Khan
- Factoring and the Distributive Property
- Factoring and the Distributive Property 2
- Factoring and the Distributive Property 3
- Factoring Trinomials by Grouping 1
- Factoring Trinomials by Grouping 2
- U09_L1_T2_we3 Factoring Trinomials by Grouping 3
- Factoring Trinomials by Grouping 4
- Factoring Trinomials by Grouping 5
- Factoring Trinomials by Grouping 6
- U09_L2_T1_we1 Factoring Special Products 1
- Factoring Special Products 2
- U09_L2_T1_we3 Factoring Special Products 3
- Solving Quadratic Equations by Factoring.avi
- Solving Quadratic Equations by Factoring 2.avi
- Solving Quadratic Equations by Factoring 3.avi
- Quadratic Functions 1
- Quadratic Functions 2
- Quadratic Functions 3
- Completing the Square 1
- Completing the Square 2
- Completing the Square 3
- Completing the Square 4
- Quadratic Formula 1
- Quadratic Formula 2
- Quadratic Formula 3
- Applying Quadratic Functions 1
- Applying Quadratic Functions 2
- Applying Quadratic Functions 3
- Non-Linear Systems of Equations 1
- Non-Linear Systems of Equations 2
- Non-Linear Systems of Equations 3
- Simplifying Rational Expressions 1
- Simplifying Rational Expressions 2
- Simplifying Rational Expressions 3
- Multiplying and Dividing Rational Expressions 1
- Multiplying and Dividing Rational Expressions 2
- Multiplying and Dividing Rational Expressions 3
- Adding and Subtracting Rational Expressions 1
- Adding and Subtracting Rational Expressions 2
- Adding and Subtracting Rational Expressions 3
- Solving Rational Equations 1
- Solving Rational Equations 2
- Solving Rational Equations 3
- Applying Rational Equations 1
- Applying Rational Equations 2
- Applying Rational Equations 3
- Number Sets 1
- Number Sets 2
- Number Sets 3
- Understanding Logical Statements 1
- Understanding Logical Statements 2
- Understanding Logical Statements 3
- Understanding Logical Statements 4
- Understanding Logical Statements Commentary
- U12_L1_T3_we1 Inductive Reasoning 1
- Inductive Reasoning 2
- Inductive Reasoning 3
- Deductive Reasoning 1
- Deductive Reasoning 2
- Deductive Reasoning 3
- Events and Outcomes 1
- Events and Outcomes 2
- Events and Outcomes 3
- U12_L2_T2_we1 Independent Events 1
- Independent Events 2
- Independent Events 3
- Permutations and Combinations 1
- Permutations and Combinations 2
- Permutations and Combinations 3
- Permutations and Combinations 4
- Probability of Dependent Events
- Probability of Dependent Events 2
- U02_L2_T2_we1 Absolute Value Equations.avi
- U06_L3_T1_we3 Graphing Systems of Inequalities
- U06_L1_T1_we1 Solving Systems by Graphing
- U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables
- U03_L2_T1_we2 Representing Functions as Graphs
- U03_L1_T1_we2 Inductive Patterns

The most basic of the math playlists. Start here if you have very little background in math fundamentals (or just want to make sure you do). After watching this playlist, you should be ready for the pre-algebra playlist.

- Basic Addition
- Addition 2
- Level 2 Addition
- Addition 3
- Addition 4
- Basic Subtraction
- Subtraction 2
- Subtraction 3: Introduction to Borrowing or Regrouping
- Alternate mental subtraction method
- Level 4 Subtraction
- Why borrowing works
- Adding Decimals
- Subtracting decimals
- Basic Multiplication
- Multiplication 2: The Multiplication Tables
- Multiplication 3: 10,11,12 times tables
- Multiplication 4: 2-digit times 1-digit number
- Multiplication 5: 2-digit times a 2-digit number
- Multiplication 6: Multiple Digit Numbers
- Multiplication 7: Old video giving more examples
- Mulitplication 8: Multiplying decimals (Old video)
- Lattice Multiplication
- Why Lattice Multiplication Works
- Division 1
- Division 2
- Division 3: More long division and remainder examples
- Level 4 division
- Converting fractions to decimals
- Percent and decimals
- Dividing decimal
- Ordering numeric expressions
- Greatest Common Divisor
- Least Common Multiple
- Equivalent fractions
- Mixed numbers and improper fractions
- Time Differences 1
- Time Differences in Different Time Zones
- Prime Numbers

Videos on how banks work and how money is created.

- Banking 1
- Banking 2: A bank's income statement
- Banking 3: Fractional Reserve Banking
- Banking 4: Multiplier effect and the money supply
- Banking 5: Introduction to Bank Notes
- Banking 6: Bank Notes and Checks
- Banking 7: Giving out loans without giving out gold
- Banking 8: Reserve Ratios
- Banking 9: More on Reserve Ratios (Bad sound)
- Banking 10: Introduction to leverage (bad sound)
- Banking 11: A reserve bank
- Banking 12: Treasuries (government debt)
- Banking 13: Open Market Operations
- Banking 14: Fed Funds Rate
- Banking 15: More on the Fed Funds Rate
- Banking 16: Why target rates vs. money supply
- Banking 17: What happened to the gold?
- Banking 18: Big Picture Discussion
- The Discount Rate
- Repurchase Agreements (Repo transactions)
- Federal Reserve Balance Sheet
- Fractional Reserve Banking Commentary 1
- FRB Commentary 2: Deposit Insurance
- FRB Commentary 3: Big Picture
- LIBOR

Covers topics seen in a first year college or high school biology course.

- Introduction to Evolution and Natural Selection
- Ape Clarification
- Intelligent Design and Evolution
- Evolution Clarification
- Natural Selection and the Owl Butterfly
- DNA
- Variation in a Species
- Chromosomes, Chromatids, Chromatin, etc.
- Mitosis, Meiosis and Sexual Reproduction
- Phases of Mitosis
- Phases of Meiosis
- Embryonic Stem Cells
- Cancer
- Introduction to Heredity
- Punnett Square Fun
- Hardy-Weinberg Principle
- Sex-Linked Traits
- Bacteria
- Viruses
- ATP: Adenosine Triphosphate
- Introduction to Cellular Respiration
- Oxidation and Reduction Review From Biological Point-of-View
- Oxidation and Reduction in Cellular Respiration
- Glycolysis
- Krebs / Citric Acid Cycle
- Electron Transport Chain
- Oxidative Phosphorylation and Chemiosmosis
- Photosynthesis
- Photosynthesis: Light Reactions 1
- Photosynthesis: Light Reactions and Photophosphorylation
- Photosynthesis: Calvin Cycle
- Photorespiration
- C-4 Photosynthesis
- CAM Plants
- Parts of a cell
- Diffusion and Osmosis
- The Lungs and Pulmonary System
- Red blood cells
- Circulatory System and the Heart
- Hemoglobin
- Anatomy of a Neuron
- Sodium Potassium Pump
- Correction to Sodium and Potassium Pump Video
- Electrotonic and Action Potentials
- Saltatory Conduction in Neurons
- Neuronal Synapses (Chemical)
- Myosin and Actin
- Tropomyosin and troponin and their role in regulating muscle contraction
- Role of the Sarcoplasmic Reticulum in Muscle Cells
- Anatomy of a muscle cell
- Role of Phagocytes in Innate or Nonspecific Immunity
- Types of immune responses: Innate and Adaptive. Humoral vs. Cell-Mediated
- B Lymphocytes (B cells)
- Professional Antigen Presenting Cells (APC) and MHC II complexes
- Helper T Cells
- Cytotoxic T Cells
- Review of B cells, CD4+ T cells and CD8+ T cells
- Inflammatory Response
- The Kidney and Nephron
- Secondary Active Transport in the Nephron
- Glucose Insulin and Diabetes
- Blood Sugar Levels
- A1C Levels
- Heart Disease and Heart Attacks
- Thrombo-emboli and Thromboembolisms
- Stenosis, ischemia and heart failure
- Strokes

Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!

Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math.

- CAHSEE Practice: Problems 1-3
- CAHSEE Practice: Problems 4-9
- CAHSEE Practice: Problems 10-12
- CAHSEE Practice: Problems 13-14
- CAHSEE Practice: Problems 15-16
- CAHSEE Practice: Problems 17-19
- CAHSEE Practice: Problems 20-22
- CAHSEE Practice: Problems 23-27
- CAHSEE Practice: Problems 28-31
- CAHSEE Practice: Problems 32-34
- CAHSEE Practice: Problems 35-37
- CAHSEE Practice: Problems 38-42
- CAHSEE Practice: Problems 43-46
- CAHSEE Practice: Problems 47-51
- CAHSEE Practice: Problems 52-53

Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

- Introduction to Limits (HD)
- Introduction to Limits
- Limit Examples (part 1)
- Limit Examples (part 2)
- Limit Examples (part3)
- Limit Examples w/ brain malfunction on first prob (part 4)
- Squeeze Theorem
- Proof: lim (sin x)/x
- More Limits
- Epsilon Delta Limit Definition 1
- Epsilon Delta Limit Definition 2
- Calculus: Derivatives 1 (new HD version)
- Calculus: Derivatives 2 (new HD version)
- Calculus: Derivatives 2.5 (new HD version)
- Calculus: Derivatives 1
- Calculus: Derivatives 2
- Calculus: Derivatives 3
- The Chain Rule
- Chain Rule Examples
- Even More Chain Rule
- Product Rule
- Quotient Rule
- Derivatives (part 9)
- Proof: d/dx(x^n)
- Proof: d/dx(sqrt(x))
- Proof: d/dx(ln x) = 1/x
- Proof: d/dx(e^x) = e^x
- Proofs of Derivatives of Ln(x) and e^x
- Extreme Derivative Word Problem (advanced)
- Implicit Differentiation
- Implicit Differentiation (part 2)
- More implicit differentiation
- More chain rule and implicit differentiation intuition
- Trig Implicit Differentiation Example
- Calculus: Derivative of x^(x^x)
- Introduction to L'Hopital's Rule
- L'Hopital's Rule Example 1
- L'Hopital's Rule Example 2
- L'Hopital's Rule Example 3
- Maxima Minima Slope Intuition
- Inflection Points and Concavity Intuition
- Monotonicity Theorem
- Calculus: Maximum and minimum values on an interval
- Calculus: Graphing Using Derivatives
- Calculus Graphing with Derivatives Example
- Graphing with Calculus
- Optimization with Calculus 1
- Optimization with Calculus 2
- Optimization with Calculus 3
- Optimization Example 4
- Introduction to rate-of-change problems
- Equation of a tangent line
- Rates-of-change (part 2)
- Ladder rate-of-change problem
- Mean Value Theorem
- The Indefinite Integral or Anti-derivative
- Indefinite integrals (part II)
- Indefinite Integration (part III)
- Indefinite Integration (part IV)
- Indefinite Integration (part V)
- Integration by Parts (part 6 of Indefinite Integration)
- Indefinite Integration (part 7)
- Another u-subsitution example
- Introduction to definite integrals
- Definite integrals (part II)
- Definite Integrals (area under a curve) (part III)
- Definite Integrals (part 4)
- Definite Integrals (part 5)
- Definite integral with substitution
- Integrals: Trig Substitution 1
- Integrals: Trig Substitution 2
- Integrals: Trig Substitution 3 (long problem)
- Periodic Definite Integral
- Introduction to differential equations
- Solid of Revolution (part 1)
- Solid of Revolution (part 2)
- Solid of Revolution (part 3)
- Solid of Revolution (part 4)
- Solid of Revolution (part 5)
- Solid of Revolution (part 6)
- Solid of Revolution (part 7)
- Solid of Revolution (part 8)
- Sequences and Series (part 1)
- Sequences and series (part 2)
- Maclauren and Taylor Series Intuition
- Cosine Taylor Series at 0 (Maclaurin)
- Sine Taylor Series at 0 (Maclaurin)
- Taylor Series at 0 (Maclaurin) for e to the x
- Euler's Formula and Euler's Identity
- Visualizing Taylor Series Approximations
- Generalized Taylor Series Approximation
- Visualizing Taylor Series for e^x
- Polynomial approximation of functions (part 1)
- Polynomial approximation of functions (part 2)
- Approximating functions with polynomials (part 3)
- Polynomial approximation of functions (part 4)
- Polynomial approximations of functions (part 5)
- Polynomial approximation of functions (part 6)
- Polynomial approximation of functions (part 7)
- Taylor Polynomials
- Exponential Growth
- AP Calculus BC Exams: 2008 1 a
- AP Calculus BC Exams: 2008 1 b&c
- AP Calculus BC Exams: 2008 1 c&d
- AP Calculus BC Exams: 2008 1 d
- Calculus BC 2008 2 a
- Calculus BC 2008 2 b &c
- Calculus BC 2008 2d
- Partial Derivatives
- Partial Derivatives 2
- Gradient 1
- Gradient of a scalar field
- Divergence 1
- Divergence 2
- Divergence 3
- Curl 1
- Curl 2
- Curl 3
- Double Integral 1
- Double Integrals 2
- Double Integrals 3
- Double Integrals 4
- Double Integrals 5
- Double Integrals 6
- Triple Integrals 1
- Triple Integrals 2
- Triple Integrals 3
- (2^ln x)/x Antiderivative Example
- Introduction to the Line Integral
- Line Integral Example 1
- Line Integral Example 2 (part 1)
- Line Integral Example 2 (part 2)
- Position Vector Valued Functions
- Derivative of a position vector valued function
- Differential of a vector valued function
- Vector valued function derivative example
- Line Integrals and Vector Fields
- Using a line integral to find the work done by a vector field example
- Parametrization of a Reverse Path
- Scalar Field Line Integral Independent of Path Direction
- Vector Field Line Integrals Dependent on Path Direction
- Path Independence for Line Integrals
- Closed Curve Line Integrals of Conservative Vector Fields
- Example of Closed Line Integral of Conservative Field
- Second Example of Line Integral of Conservative Vector Field
- Green's Theorem Proof Part 1
- Green's Theorem Proof (part 2)
- Green's Theorem Example 1
- Green's Theorem Example 2
- Introduction to Parametrizing a Surface with Two Parameters
- Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
- Partial Derivatives of Vector-Valued Functions
- Introduction to the Surface Integral
- Example of calculating a surface integral part 1
- Example of calculating a surface integral part 2
- Example of calculating a surface integral part 3

Sal works through the problems from the CA Standards released questions: http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg1.pdf . Good videos to review Algebra I (The "Algebra I Worked Examples" playlist is more comprehensive and should probably be watched first).

- CA Algebra I: Number Properties and Absolute Value
- CA Algebra I: Simplifying Expressions
- CA Algebra I: Simple Logical Arguments
- CA Algebra I: Graphing Inequalities
- CA Algebra I: Slope and Y-intercept
- CA Algebra I: Systems of Inequalities
- CA Algebra I: Simplying Expressions
- CA Algebra I: Factoring Quadratics
- CA Algebra I: Completing the Square
- CA Algebra I: Quadratic Equation
- CA Algebra I: Quadratic Roots
- CA Algebra I: Rational Expressions
- CA Algebra I: Rational Expressions
- CA Algebra I: Word Problems
- CA Algebra I: More Word Problems
- CA Algebra I: Functions

Sal works through 80 questions taken from the California Standards Test for Algebra II. Good place to review the major topics in Algebra II even if you're not in California. Many of these topics are taught in more depth in the "Algebra" playlist.

- California Standards Test: Algebra II
- California Standards Test: Algebra II (Graphing Inequalities
- CA Standards: Algebra II (Algebraic Division/Multiplication)
- CA Standards: Algebra II
- Algebra II: Simplifying Polynomials
- Algebra II: Imaginary and Complex Numbers
- Algebra II: Complex numbers and conjugates
- Algebra II: Quadratics and Shifts
- Algebra II: Shifting Quadratic Graphs
- Algebra ||: Conic Sections
- Algebra II: Circles and Logarithms
- Algebra II: Logarithms Exponential Growth
- Algebra II: Logarithms and more
- Algebra II: Functions, Combinatorics
- Algebra II: binomial Expansion and Combinatorics
- Algebra II: Binomial Expansions, Geometric Series Sum
- Algebra II: Functions and Probability
- Algebra II: Probability and Statistics
- Algebra II: Mean and Standard Deviation

Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Test at http://www.cde.ca.gov/ta/tg/sr/documents/rtqgeom.pdf . Basic understanding of Algebra I necessary.

- CA Geometry: deductive reasoning
- CA Geometry: Proof by Contradiction
- CA Geometry: More Proofs
- CA Geometry: Similar Triangles
- CA Geometry: Similar Triangles
- CA Geometry: More on congruent and similar triangles
- CA Geometry: Triangles and Parallelograms
- CA Geometry: Area, Pythagorean Theorem
- CA Geometry: Area, Circumference, Volume
- CA Geometry: Pythagorean Theorem, Area
- CA Geometry: Exterior Angles
- CA Geometry: Deducing Angle Measures
- CA Geometry: Pythagorean Theorem, Compass Constructions
- CA Geometry: Compass Construction
- CA Geometry: Basic Trigonometry
- CA Geometry: More Trig
- CA Geometry: Circle Area Chords Tangent
- CA Geometry: Secants and Translations

Videos on chemistry (roughly covering a first-year high school or college course).

- Introduction to the atom
- Orbitals
- More on orbitals and electron configuration
- Electron Configurations
- Electron Configurations 2
- Valence Electrons
- Groups of the Periodic Table
- Periodic Table Trends: Ionization Energy
- Other Periodic Table Trends
- Ionic, Covalent, and Metallic Bonds
- Molecular and Empirical Formulas
- The Mole and Avogadro's Number
- Formula from Mass Composition
- Another mass composition problem
- Balancing Chemical Equations
- Stoichiometry
- Stoichiometry: Limiting Reagent
- Ideal Gas Equation: PV=nRT
- Ideal Gas Equation Example 1
- Ideal Gas Equation Example 2
- Ideal Gas Equation Example 3
- Ideal Gas Example 4
- Partial Pressure
- States of Matter
- States of Matter Follow-Up
- Specific Heat, Heat of Fusion and Vaporization
- Chilling Water Problem
- Phase Diagrams
- Van Der Waals Forces
- Covalent Networks, Metallic, and Ionic Crystals
- Vapor Pressure
- Suspensions, Colloids and Solutions
- Solubility
- Boiling Point Elevation and Freezing Point Supression
- Introduction to Kinetics
- Reactions in Equilibrium
- Mini-Video on Ion Size
- Keq Intuition (mathy and not necessary to progress)
- Keq derivation intuition (can skip; bit mathy)
- Heterogenous Equilibrium
- Le Chatelier's Principle
- Introduction to pH, pOH, and pKw
- Acid Base Introduction
- pH, pOH of Strong Acids and Bases
- pH of a Weak Acid
- pH of a Weak Base
- Conjugate Acids and Bases
- pKa and pKb Relationship
- Buffers and Hendersen-Hasselbalch
- Strong Acid Titration
- Weak Acid Titration
- Half Equivalence Point
- Titration Roundup
- Introduction to Oxidation States
- More on Oxidation States
- Hydrogen Peroxide Correction
- Redox Reactions
- Galvanic Cells
- Types of Decay
- Half-Life
- Exponential Decay Formula Proof (can skip, involves Calculus)
- Introduction to Exponential Decay
- More Exponential Decay Examples
- Macrostates and Microstates
- Quasistatic and Reversible Processes
- First Law of Thermodynamics/ Internal Energy
- More on Internal Energy
- Work from Expansion
- PV-diagrams and Expansion Work
- Proof: U=(3/2)PV or U=(3/2)nRT
- Work Done by Isothermic Process
- Carnot Cycle and Carnot Engine
- Proof: Volume Ratios in a Carnot Cycle
- Proof: S (or Entropy) is a valid state variable
- Thermodynamic Entropy Definition Clarification
- Reconciling Thermodynamic and State Definitions of Entropy
- Entropy Intuition
- Maxwell's Demon
- More on Entropy
- Efficiency of a Carnot Engine
- Carnot Efficiency 2: Reversing the Cycle
- Carnot Efficiency 3: Proving that it is the most efficient
- Enthalpy
- Heat of Formation
- Hess's Law and Reaction Enthalpy Change
- Gibbs Free Energy and Spontaneity
- Gibbs Free Energy Example
- More rigorous Gibbs Free Energy/ Spontaneity Relationship
- A look at a seductive but wrong Gibbs/Spontaneity Proof
- Stoichiometry Example Problem 1
- Stoichiometry Example Problem 2
- Limiting Reactant Example Problem 1
- Empirical and Molecular Formulas from Stoichiometry
- Example of Finding Reactant Empirical Formula
- Stoichiometry of a Reaction in Solution
- Another Stoichiometry Example in a Solution
- Molecular and Empirical Forumlas from Percent Composition
- Acid Base Titration
- Spectrophotometry Introduction
- Spectrophotometry Example
- Hess's Law Example
- Vapor Pressure Example
- Change of State Example
- Carbon 14 Dating 1
- Carbon 14 Dating 2

Example problems from random math competitions

- 2003 AIME II Problem 1
- 2003 AIME II Problem 3
- 2003 AIME II Problem 4 (part 1)
- Sum of factors of 27000
- Sum of factors 2
- 2003 AIME II Problem 5
- 2003 AIME II Problem 5 Minor Correction
- 2003 AIME II Problem 6
- Area Circumradius Formula Proof
- 2003 AIME II Problem 8
- Sum of Polynomial Roots (Proof)
- Sum of Squares of Polynomial Roots
- 2003 AIME II Problem 9
- 2003 AIME II Problem 12
- 2003 AIME II Problem 13
- 2003 AIME II Problem 10
- 2003 AIME II Problem 11.avi
- 2003 AIME II Problem 14
- 2003 AIME II Problem 15 (part 1)
- 2003 AIME II Problem 15 (part 2)
- 2003 AIME II Problem 15 (part 3)

Videos attempting to grasp a little bit about our Universe

- Scale of Earth and Sun
- Scale of Solar System
- Scale of Distance to Closest Stars
- Scale of the Galaxy
- Intergalactic Scale
- Hubble Image of Galaxies
- Big Bang Introduction
- Radius of Observable Universe
- (Correction) Radius of Observable Universe
- Red Shift
- Cosmic Background Radiation
- Cosmic Background Radiation 2
- Cosmological Time Scale 1
- Cosmological Time Scale 2
- Four Fundamental Forces
- Birth of Stars
- Becoming a Red Giant
- White and Black Dwarfs
- A Universe Smaller than the Observable
- Star Field and Nebula Images
- Parallax in Observing Stars
- Stellar Distance Using Parallax
- Stellar Parallax Clarification
- Parsec Definition
- Hubble's Law
- Lifecycle of Massive Stars
- Supernova (Supernovae)
- Supernova clarification
- Black Holes
- Cepheid Variables 1
- Why Cepheids Pulsate
- Why Gravity Gets So Strong Near Dense Objects
- Supermassive Black Holes
- Quasars
- Quasar Correction
- Galactic Collisions
- Earth Formation
- Beginnings of Life
- Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon
- Biodiversity Flourishes in Phanerozoic Eon
- First living things on land clarification
- Plate Tectonics-- Difference between crust and lithosphere
- Structure of the Earth
- Plate Tectonics -- Evidence of plate movement
- Plate Tectonics -- Geological Features of Divergent Plate Boundaries
- Plate Tectonics-- Geological features of Convergent Plate Boundaries
- Plates Moving Due to Convection in Mantle
- Hawaiian Islands Formation
- Compositional and Mechanical Layers of the Earth
- Seismic Waves
- Why S-Waves Only Travel in Solids
- Refraction of Seismic Waves
- The Mohorovicic Seismic Discontinuity
- How we know about the Earth's core
- Pangaea
- Scale of the Large
- Scale of the Small
- Detectable Civilizations in our Galaxy 1
- Detectable Civilizations in our Galaxy 2
- Detectable Civilizations in our Galaxy 3
- Detectable Civilizations in our Galaxy 4
- Detectable Civilizations in our Galaxy 5

Videos on the causes and effects of the credit crisis/crunch.

- The housing price conundrum
- Housing price conundrum (part 2)
- Housing Price Conundrum (part 3)
- Housing Conundrum (part 4)
- Mortgage-Backed Securities I
- Mortgage-backed securities II
- Mortgage-backed securities III
- Collateralized Debt Obligation (CDO)
- Bailout 13: Does the bailout have a chance of working?
- Credit Default Swaps
- Credit Default Swaps 2
- Wealth Destruction 1
- Wealth Destruction 2

Discussions of economic topics and how they relate to current events.

- Economics of a Cupcake Factory
- Cupcake Economics 2
- Cupcake Economics 3
- Inflation, Deflation & Capacity Utilization
- Inflation, Deflation & Capacity Utilization 2
- Inflation & Deflation 3: Obama Stimulus Plan
- Unemployment
- CPI Index
- Simple Analysis of Cost per Job Saved from Stimulus
- Unemployment Rate Primer
- Floating Exchange Resolving Trade Imbalance
- China Pegs to Dollar to Keep Trade Imbalance
- China buys US Bonds
- Review of China US currency situation
- Data on Chinese M1 Increase in 2010
- Data on Chinese Foreign Assets Increase in 2010
- Data on Chinese US Balance of Payments
- Chinese inflation
- Floating Exchange Effect on China
- Floating Exchange Effect on US

Worked developmental math examples from the Monterey Institute. These start pretty basic and would prepare a student for the Algebra I worked examples

- Place Value 1
- Place Value 2
- Place Value 3
- Rounding Whole Numbers 1
- Rounding Whole Numbers 2
- Rounding Whole Numbers 3
- Comparing Whole Numbers
- Comparing Whole Numbers 2
- Comparing Whole Numbers 3
- Adding Whole Numbers and Applications 1
- Adding Whole Numbers and Applications 2
- Adding Whole Numbers and Applications 3
- Adding Whole Numbers and Applications 4
- Rounding to Estimate Differences
- Rounding to Estimate Sums
- Rounding to Estimate Sums 2
- Multiplying Whole Numbers and Applications 1
- Multiplying Whole Numbers and Applications 2
- Multiplying Whole Numbers and Applications 3
- Multiplying Whole Numbers and Applications 4
- Multiplying Whole Numbers and Applications 5
- Dividing Whole Numbers and Applications 1
- Dividing Whole Numbers and Applications 2
- Dividing Whole Numbers and Applications 3
- Dividing Whole Numbers and Applications 4
- Dividing Whole Numbers and Applications 5
- Dividing Whole Numbers and Applications 6
- Properties of Whole Numbers
- Identity Property of 1
- Commutative Law of Addition
- Commutative Law of Multiplication
- Associative Law of Addition
- Associative Law of Multiplication
- The Distributive Property
- The Distributive Property 2
- Understanding Exponents
- Understanding Exponents 2
- Understanding Square Roots
- Order of Operations
- Order of Operations 2
- Numerator and Denominator of a Fraction
- Identifying Fraction Parts
- Proper and Improper Fractions
- Changing a Mixed Number to an Improper Fraction
- Changing an Improper Fraction to a Mixed Number
- Recognizing Divisibility
- Finding Factors of a Number
- Prime Factorization
- Equivalent Fractions
- Fractions in lowest terms
- Comparing Fractions
- Comparing Fractions 2
- Multiplying Fractions
- Multiplying Mixed Numbers
- Multiplying Fractions and Mixed Numbers
- Multiplying Fractions Word Problem
- Reciprocal of a Mixed Number
- Dividing Fractions
- Dividing Mixed Numbers
- Dividing Mixed Numbers and Fractions
- Dividing Fractions Word Problem
- Adding Fractions with Like Denominators
- Adding Fractions with Unlike Denominators
- Adding Mixed Numbers
- Adding Mixed Numbers with Unlike Denominators
- Adding Mixed Numbers Word Problem
- Subtracting Fractions
- Subtracting Mixed Numbers
- Subtracting Mixed Numbers 2
- Subtracting Mixed Numbers Word Problem
- Decimal Place Value
- Decimal Place Value 2
- Decimals and Fractions
- Comparing Decimals
- Rounding Decimals
- Adding Decimals
- Subtracting Decimals
- Subtracting Decimals Word Problem
- Multiplying Decimals
- Multiplying Decimals 2
- Dividing Decimals
- Dividing Decimals 2
- Dividing Decimals 2.1
- Mulitplyling Decimals 3
- Estimation with Decimals
- Ratios as Fractions in Simplest Form
- Simplifying Rates and Ratios
- Finding Unit Rates
- Finding Unit Prices
- Understanding Proportions
- Find an Unknown in a Proportion
- Find an Unknown in a Proportion 2
- Describing the Meaning of Percent
- Describing the Meaning of Percent 2
- Representing a number as a decimal, percent, and fraction
- Representing a number as a decimal, percent, and fraction 2
- Solving Percent Problems
- Solving Percent Problems 2
- Solving Percent Problems 3
- Converting Yards into Inches
- Adding different units of length
- Converting units of length
- Converting pounds to ounces
- Adding different units for weight
- Application problems involving units of weight
- Converting Gallons to quarts pints and cups
- Performing arithmetic calculations on units of volume
- Solving application problems involving units of volume
- U.S. Customary and Metric units
- Conversion between metric units
- Converting within the metric system
- Applying the Metric System
- Comparing Celsius and Farenheit temperature scales
- Converting Farenheit to Celsius
- Variables and Expressions 1
- Locate integers on a number line
- Absolute Value of Integers
- Opposite of a given number
- Number Sets
- Points on a number line
- Adding integers with same sign
- Adding integers with different signs
- Adding real numbers with different signs
- Adding fractions with different signs
- Identity property of 0
- Application of addition of real numbers
- Subtracting real numbers
- Adding and subtracting real numbers
- Adding and subtracting real numbers application
- Multiplying negative real numbers
- Dividing real numbers with different signs
- Identity property of 1
- Multiplying real number application
- Commutative Property for Addition
- Associative property for multiplication
- Distributive property
- Order of Operations
- Order of Operations 2
- Solving One-Step Equations
- Solving One-Step Equations 2
- Multi-step equations 1
- Multi-step equations 2
- Equation Special Cases
- Application problems with equation in one variable
- Evaluate a formula using substitution
- Rearrange formulas to isolate specific variables
- Inequalities on a number line
- One-Step Inequalities
- One-Step Inequalities 2
- Multi-Step Inequalities
- Multi-Step Inequalities 2
- Compund Inequalities
- Compund Inequalities 2
- Compound Inequalities 3
- Compound Inequalities 4
- Absolute Value Equations
- Absolute Value Inequalities
- Absolute Value Equations 2
- Evaluating exponential expressions
- Evaluating exponential expressions 2
- Evaluating exponential expressions 3
- Exponent Properties 1
- Exponent Properties 2
- Exponent Properties 3
- Exponent Properties 4
- Exponent Properties 5
- Exponent Properties 6
- Exponent Properties 7
- Scientific Notation I
- Scientific Notation 2
- Scientific Notation 3
- Terms coefficients and exponents in a polynomial
- Evaluating a polynomial at a given value
- Simply a polynomial
- Adding Polynomials
- Opposite of a Polynomial
- Subtracting Polynomials
- Multiplying Monomials
- Multiplying Monomials by Polynomials
- Multiplying Binomials
- Multiplying Polynomials
- Special Polynomials Products 1
- Square a Binomial
- Dividing Monomials
- Polynomial divided by monomial
- Dividing polynomials 1
- Dividing polynomials with remainders
- Evaluating an expression with multiple variables
- Simplifying an expression with multiple variables
- Adding polynomials with multiple variables
- Subtracting polynomials with multiple variables
- More multiplying polynomials
- Dividing multivariable polynomial with monomial

Worked developmental math examples from the Monterey Institute (part 2). These start at Algebra I and would prepare a student for basic college mathematics.

- Monomial Greatest Common Factor
- Factor polynomials using the GCF
- Factor expressions by grouping
- Factoring trinomials with a leading 1 coefficient
- Factoring trinomials with a common factor
- Factoring trinomials with a non-1 leading coefficient by grouping
- Factoring perfect square trinomials
- Factoring difference of squares
- Factoring Sum of Cubes
- Factoring the Difference of Cubes
- Solving factored equations
- Solving quadratics by factoring
- Applications Problem Factoring Quadratics
- Plotting (x,y) relationships
- Quadrants of Coordinate Plane
- Graphing using X and Y intercepts
- Ordered pair solutions of equations
- Application problem with graph
- Graphical Slope of a Line
- Slope of a Line 2
- Slope of a Line 3
- Equation of a line
- Equation of a line 2
- Equation of a line 3
- Slope of Perpendicular Line
- Parallel Line Equation
- Graphing Inequalities
- Graphing Inequalities 2
- Graphings Systems of Equations
- Testing a solution for a system of equations
- Consistent and Inconsistent Systems
- Independent and Dependent Systems
- Graphical Systems Application Problem
- Graphical System of Inequalities
- Testing Solutions for a System of Inequalities
- System of Inequalities Application
- The Substitution Method
- Substitution Method 2
- Substitution Method 3
- Addition Elimination Method 1
- Addition Elimination Method 2
- Addition Elimination Method 3
- Addition Elimination Method 4
- Systems of Three Variables
- Systems of Three Variables 2
- Three Equation Application Problem
- Solutions to Three Variable System

Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.

- Introduction to differential equations
- Separable Differential Equations
- Separable differential equations 2
- Exact Equations Intuition 1 (proofy)
- Exact Equations Intuition 2 (proofy)
- Exact Equations Example 1
- Exact Equations Example 2
- Exact Equations Example 3
- Integrating factors 1
- Integrating factors 2
- First order homegenous equations
- First order homogenous equations 2
- 2nd Order Linear Homogeneous Differential Equations 1
- 2nd Order Linear Homogeneous Differential Equations 2
- 2nd Order Linear Homogeneous Differential Equations 3
- 2nd Order Linear Homogeneous Differential Equations 4
- Complex roots of the characteristic equations 1
- Complex roots of the characteristic equations 2
- Complex roots of the characteristic equations 3
- Repeated roots of the characteristic equation
- Repeated roots of the characterisitic equations part 2
- Undetermined Coefficients 1
- Undetermined Coefficients 2
- Undetermined Coefficients 3
- Undetermined Coefficients 4
- Laplace Transform 1
- Laplace Transform 2
- Laplace Transform 3 (L{sin(at)})
- Laplace Transform 4
- Laplace Transform 5
- Laplace Transform 6
- Laplace Transform to solve an equation
- Laplace Transform solves an equation 2
- More Laplace Transform tools
- Using the Laplace Transform to solve a nonhomogenous eq
- Laplace Transform of : L{t}
- Laplace Transform of t^n: L{t^n}
- Laplace Transform of the Unit Step Function
- Inverse Laplace Examples
- Laplace/Step Function Differential Equation
- Dirac Delta Function
- Laplace Transform of the Dirac Delta Function
- Introduction to the Convolution
- The Convolution and the Laplace Transform
- Using the Convolution Theorem to Solve an Initial Value Prob

Videos on finance and macroeconomics

- Introduction to interest
- Interest (part 2)
- Introduction to Present Value
- Present Value 2
- Present Value 3
- Present Value 4 (and discounted cash flow)
- Introduction to Balance Sheets
- More on balance sheets and equity
- Home equity loans
- Renting vs. Buying a home
- Renting vs. buying a home (part 2)
- Renting vs. Buying (detailed analysis)
- The housing price conundrum
- Housing price conundrum (part 2)
- Housing Price Conundrum (part 3)
- Housing Conundrum (part 4)
- Raising money for a startup
- Getting a seed round from a VC
- Going back to the till: Series B
- An IPO
- More on IPOs
- What it means to buy a company's stock
- Bonds vs. Stocks
- Shorting Stock
- Shorting Stock 2
- Is short selling bad?
- Chapter 7:Bankruptcy Liquidation
- Chapter 11: Bankruptcy Restructuring
- Return on capital
- Mortgage-Backed Securities I
- Mortgage-backed securities II
- Mortgage-backed securities III
- Collateralized Debt Obligation (CDO)
- Introduction to the yield curve
- Introduction to compound interest and e
- Compound Interest and e (part 2)
- Compound Interest and e (part 3)
- Compound Interest and e (part 4)
- Bailout 1: Liquidity vs. Solvency
- Bailout 2: Book Value
- Bailout 3: Book value vs. market value
- Bailout 4: Mark-to-model vs. mark-to-market
- Bailout 5: Paying off the debt
- Bailout 6: Getting an equity infusion
- Bailout 7: Bank goes into bankruptcy
- Bailout 8: Systemic Risk
- Bailout 9: Paulson's Plan
- Bailout 10: Moral Hazard
- Credit Default Swaps
- Credit Default Swaps 2
- Investment vs. Consumption 1
- Investment vs. Comsumption 2
- Bailout 11: Why these CDOs could be worth nothing
- Bailout 12: Lone Star Transaction
- Bailout 13: Does the bailout have a chance of working?
- Wealth Destruction 1
- Wealth Destruction 2
- Bailout 14: Possible Solution
- Bailout 15: More on the solution
- Banking 1
- Banking 2: A bank's income statement
- Banking 3: Fractional Reserve Banking
- Banking 4: Multiplier effect and the money supply
- Personal Bankruptcy: Chapters 7 and 13
- Introduction to Compound Interest
- The Rule of 72 for Compound Interest
- Annual Percentage Rate (APR) and Effective APR
- Introduction to Bonds
- Relationship between bond prices and interest rates
- Introduction to Mortgage Loans
- Traditional IRAs
- Roth IRAs
- 401(k)s
- Payday Loans
- Institutional Roles in Issuing and Processing Credit Cards
- Ponzi Schemes
- Currency Exchange Introduction
- Currency Effect on Trade
- Currency Effect on Trade Review
- Pegging the Yuan
- Chinese Central Bank Buying Treasuries
- American-Chinese Debt Loop
- Debt Loops Rationale and Effects
- American Call Options
- Basic Shorting
- American Put Options
- Call Option as Leverage
- Put vs. Short and Leverage
- Call Payoff Diagram
- Put Payoff Diagram
- Long Straddle
- Put as Insurance
- Put-Call Parity
- Put Writer Payoff Diagrams
- Call Writer Payoff Diagram
- Arbitrage Basics
- Put-Call Parity Arbitrage I
- Put-Call Parity Arbitrage II
- Put-Call Parity Clarification
- Actual Option Quotes
- Option Expiration and Price
- Forward Contract Introduction
- Futures Introduction
- Motivation for the Futures Exchange
- Futures Margin Mechanics
- Verifying Hedge with Futures Margin Mechanics
- Futures and Forward Curves
- Futures Curves II
- Contango
- Backwardation
- Contango and Backwardation Review
- Upper Bound on Forward Settlement Price
- Lower Bound on Forward Settlement Price
- Arbitraging Futures Contract
- Arbitraging Futures Contracts II
- Cash Accounting
- Accrual Basis of Accounting
- Comparing Accrual and Cash Accounting
- Balance Sheet and Income Statement Relationship
- Basic Cash Flow Statement
- Doing the example with Accounts Payable growing
- Expensing a Truck leads to inconsistent performance
- Depreciating the truck
- Depreciation in Cash Flow
- Amortization and Depreciation
- Basic Capital Structure Differences
- Market Capitalization
- Market Value of Assets
- LIBOR
- Fair Value Accounting
- Basics of US Income Tax Rate Schedule
- Tax Deductions Introduction
- Alternative Minimum Tax
- Term Life Insurance and Death Probability
- Back of Envelope Office Space Conundrum
- Corporations and Limited Liability
- Is Limited Liability or Double Taxation Fair
- Open-Ended Mutual Fund (Part 1)
- Open-End Mutual Fund Redemptions
- Closed-End Mutual Funds
- Exchange Traded Funds (ETFs)
- Hedge Funds Intro
- Hedge Fund Structure and Fees
- Are Hedge Funds Bad?
- Hedge Funds, Venture Capital, and Private Equity
- Treasury Bond Prices and Yields
- Annual Interest Varying with Debt Maturity
- The Yield Curve
- Fed Open Market Operations
- Quantitative Easing
- More on Quantitative Easing (and Credit Easing)
- Hedge Fund Strategies - Long Short 1
- Hedge Fund Strategies - Long Short 2
- Hedge Fund Strategies - Merger Arbitrage 1
- Stock Dilution
- Acquisitions with Shares
- Price Behavior After Announced Acquisition
- Simple Merger Arb with Share Acquisition
- Basic Leveraged Buyout (LBO)
- Corporate Debt versus Traditional Mortgages

Sal works through 155 data sufficiency problems in the GMAC GMAT Review book (so using real GMAT problems). Buy the book, then watch the videos.

- GMAT: Data Sufficiency 1
- GMAT: Data Sufficiency 2
- GMAT: Data Sufficiency 3
- GMAT: Data Sufficiency 4
- GMAT: Data Sufficiency 5
- GMAT: Data Sufficiency 6
- GMAT: Data Sufficiency 7
- GMAT: Data Sufficiency 8
- GMAT: Data Sufficiency 9
- GMAT: Data Sufficiency 10
- GMAT: Data Sufficiency 11
- GMAT: Data Sufficiency 12
- GMAT: Data Sufficiency 13
- GMAT: Data Sufficiency 14
- GMAT: Data Sufficiency 15
- GMAT: Data Sufficiency 16
- GMAT: Data Sufficiency 17
- GMAT: Data Sufficiency 18
- GMAT: Data Sufficiency 19
- GMAT: Data Sufficiency 20
- GMAT: Data Sufficiency 21
- GMAT Data Sufficiency 21 (correction)
- GMAT: Data Sufficiency 22
- GMAT: Data Sufficiency 23
- GMAT: Data Sufficiency 24
- GMAT: Data Sufficiency 25
- GMAT: Data Sufficiency 26
- GMAT: Data Sufficiency 27
- GMAT: Data Sufficiency 28
- GMAT: Data Sufficiency 29
- GMAT: Data Sufficiency 30
- GMAT: Data Sufficiency 31
- GMAT: Data Sufficiency 32
- GMAT: Data Sufficiency 33
- GMAT: Data Sufficiency 34
- GMAT: Data Sufficiency 35
- GMAT: Data Sufficiency 36
- GMAT: Data Sufficiency 37
- GMAT: Data Sufficiency 38
- GMAT: Data Sufficiency 39
- GMAT Data Sufficiency 40
- GMAT Data Sufficiency 41

Sal works through tbe 249 problem solving (math) questions in the official GMAC GMAT book.

- GMAT Math: 1
- GMAT Math: 2
- GMAT Math: 3
- GMAT Math: 4
- GMAT Math: 5
- GMAT: Math 6
- GMAT: Math 7
- GMAT: Math 8
- GMAT: Math 9
- GMAT: Math 10
- GMAT: Math 11
- GMAT: Math 12
- GMAT: Math 13
- GMAT: Math 14
- GMAT: Math 15
- GMAT: Math 16
- GMAT: Math 17
- GMAT: Math 18
- GMAT: Math 19
- GMAT Math 20
- GMAT Math 21
- GMAT Math 22
- GMAT Math 23
- GMAT Math 24
- GMAT Math 25
- GMAT Math 26
- GMAT Math 27
- GMAT Math 28
- GMAT Math 29
- GMAT Math 30
- GMAT Math 31
- GMAT Math 32
- GMAT Math 33
- GMAT Math 34
- GMAT Math 35
- GMAT Math 36
- GMAT Math 37
- GMAT Math 38
- GMAT Math 39
- GMAT Math 40
- GMAT Math 41
- GMAT Math 42
- GMAT Math 43
- GMAT Math 44
- GMAT Math 45
- GMAT Math 46
- GMAT Math 47
- GMAT Math 48
- GMAT Math 49
- GMAT Math 50
- GMAT Math 51
- GMAT Math 52
- GMAT Math 53
- GMAT Math 54

Videos on the Geithner Plan to solve the banking crisis.

Videos on geometry. Basic understanding of Algebra I necessary. After this, you'll be ready for Trigonometry.

- Introduction to angles
- Angles (part 2)
- Angles (part 3)
- Angles formed between transversals and parallel lines
- Angles of parallel lines 2
- The Angle Game
- Similar triangles
- Similar triangles (part 2)
- Angle Game (part 2)
- Acute Right and Obtuse Angles
- Area and Perimeter
- Circles: Radius, Diameter and Circumference
- Area of a circle
- The Pythagorean Theorem
- Pythagorean Theorem II
- 45-45-90 Triangles
- Intro to 30-60-90 Triangles
- 30-60-90 Triangles II
- Solid Geometry Volume
- Cylinder Volume and Surface Area
- Heron's Formula
- Part 1 of Proof of Heron's Formula
- Part 2 of the Proof of Heron's Formula
- An inscribed angle is half of a central angle that subtends the same arc
- Area of Inscribed Equilateral Triangle (some basic trig used)
- Right Triangles Inscribed in Circles (Proof)
- Area of Diagonal Generated Triangles of Rectangle are Equal
- Triangle Medians and Centroids
- Triangle Medians and Centroids (2D Proof)
- Rhombus Diagonals
- 2003 AIME II Problem 7

The history of the world (eventually)!

- US History Overview 1: Jamestown to the Civil War
- US History Overview 2 - Reconstruction to the Great Depression
- US History Overview 3 - WWII to Vietnam
- Communism
- Korean War Overview
- Bay of Pigs Invasion
- Cuban Missile Crisis
- Vietnam War
- Pattern of US Cold War Interventions
- Allende and Pinochet in Chile
- When Capitalism is Great and Not-so-great
- 20th Century Capitalism and Regulation in the United States
- French Revolution (Part 1)
- French Revolution (Part 2)
- French Revolution (Part 3) - Reign of Terror
- French Revolution (Part 4) - The Rise of Napoleon Bonaparte
- Haitian Revolution (Part 1)
- Haitian Revolution (Part 2)
- Napoleon and the Wars of the First and Second Coalitions
- Napoleon and the War of the Third Coalition
- Napoleon and the War of the Fourth Coalition
- Napoleon's Peninsular Campaigns
- French Invasion of Russia
- Napoleon Forced to Abdicate

Questions from previous IIT JEEs

- IIT JEE Trigonometry Problem 1
- IIT JEE Perpendicular Planes (Part 1)
- IIT JEE Perpendicular Plane (part 2)
- IIT JEE Complex Root Probability (part 1)
- IIT JEE Complex Root Probability (part 2)
- IIT JEE Position Vectors
- IIT JEE Integral Limit
- IIT JEE Algebraic Manipulation
- IIT JEE Function Maxima
- IIT JEE Diameter Slope
- IIT JEE Hairy Trig and Algebra (part 1)
- IIT JEE Hairy Trig and Algebra (Part 2)
- IIT JEE Hairy Trig and Algebra (Part 3)
- IIT JEE Complex Numbers (part 1)
- IIT JEE Complex Numbers (part 2)
- IIT JEE Complex Numbers (part 3)
- IIT JEE Differentiability and Boundedness
- IIT JEE Integral with Binomial Expansion
- IIT JEE Symmetric and Skew-Symmetric Matrices
- IIT JEE Trace and Determinant
- IIT JEE Divisible Determinants
- IIT JEE Circle Hyperbola Intersection
- IIT JEE Circle Hyperbola Common Tangent Part 1
- IIT JEE Circle Hyperbola Common Tangent Part 2
- IIT JEE Circle Hyperbola Common Tangent Part 3
- IIT JEE Circle Hyperbola Common Tangent Part 4
- IIT JEE Circle Hyperbola Common Tangent Part 5
- IIT JEE Trigonometric Constraints
- IIT JEE Trigonometric Maximum
- Vector Triple Product Expansion (very optional)
- IIT JEE Lagrange's Formula
- Tangent Line Hyperbola Relationship (very optional)
- 2010 IIT JEE Paper 1 Problem 50 Hyperbola Eccentricity
- Normal vector from plane equation
- Point distance to plane
- Distance Between Planes
- Complex Determinant Example
- Series Sum Example
- Trigonometric System Example
- Simple Differential Equation Example

Matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

- Introduction to matrices
- Matrix multiplication (part 1)
- Matrix multiplication (part 2)
- Inverse Matrix (part 1)
- Inverting matrices (part 2)
- Inverting Matrices (part 3)
- Matrices to solve a system of equations
- Matrices to solve a vector combination problem
- Singular Matrices
- 3-variable linear equations (part 1)
- Solving 3 Equations with 3 Unknowns
- Linear Algebra: Introduction to Vectors
- Linear Algebra: Vector Examples
- Linear Algebra: Parametric Representations of Lines
- Linear Combinations and Span
- Linear Algebra: Introduction to Linear Independence
- More on linear independence
- Span and Linear Independence Example
- Linear Subspaces
- Linear Algebra: Basis of a Subspace
- Vector Dot Product and Vector Length
- Proving Vector Dot Product Properties
- Proof of the Cauchy-Schwarz Inequality
- Linear Algebra: Vector Triangle Inequality
- Defining the angle between vectors
- Defining a plane in R3 with a point and normal vector
- Linear Algebra: Cross Product Introduction
- Proof: Relationship between cross product and sin of angle
- Dot and Cross Product Comparison/Intuition
- Matrices: Reduced Row Echelon Form 1
- Matrices: Reduced Row Echelon Form 2
- Matrices: Reduced Row Echelon Form 3
- Matrix Vector Products
- Introduction to the Null Space of a Matrix
- Null Space 2: Calculating the null space of a matrix
- Null Space 3: Relation to Linear Independence
- Column Space of a Matrix
- Null Space and Column Space Basis
- Visualizing a Column Space as a Plane in R3
- Proof: Any subspace basis has same number of elements
- Dimension of the Null Space or Nullity
- Dimension of the Column Space or Rank
- Showing relation between basis cols and pivot cols
- Showing that the candidate basis does span C(A)
- A more formal understanding of functions
- Vector Transformations
- Linear Transformations
- Matrix Vector Products as Linear Transformations
- Linear Transformations as Matrix Vector Products
- Image of a subset under a transformation
- im(T): Image of a Transformation
- Preimage of a set
- Preimage and Kernel Example
- Sums and Scalar Multiples of Linear Transformations
- More on Matrix Addition and Scalar Multiplication
- Linear Transformation Examples: Scaling and Reflections
- Linear Transformation Examples: Rotations in R2
- Rotation in R3 around the X-axis
- Unit Vectors
- Introduction to Projections
- Expressing a Projection on to a line as a Matrix Vector prod
- Compositions of Linear Transformations 1
- Compositions of Linear Transformations 2
- Linear Algebra: Matrix Product Examples
- Matrix Product Associativity
- Distributive Property of Matrix Products
- Linear Algebra: Introduction to the inverse of a function
- Proof: Invertibility implies a unique solution to f(x)=y
- Surjective (onto) and Injective (one-to-one) functions
- Relating invertibility to being onto and one-to-one
- Determining whether a transformation is onto
- Linear Algebra: Exploring the solution set of Ax=b
- Linear Algebra: Matrix condition for one-to-one trans
- Linear Algebra: Simplifying conditions for invertibility
- Linear Algebra: Showing that Inverses are Linear
- Linear Algebra: Deriving a method for determining inverses
- Linear Algebra: Example of Finding Matrix Inverse
- Linear Algebra: Formula for 2x2 inverse
- Linear Algebra: 3x3 Determinant
- Linear Algebra: nxn Determinant
- Linear Algebra: Determinants along other rows/cols
- Linear Algebra: Rule of Sarrus of Determinants
- Linear Algebra: Determinant when row multiplied by scalar
- Linear Algebra: (correction) scalar muliplication of row
- Linear Algebra: Determinant when row is added
- Linear Algebra: Duplicate Row Determinant
- Linear Algebra: Determinant after row operations
- Linear Algebra: Upper Triangular Determinant
- Linear Algebra: Simpler 4x4 determinant
- Linear Algebra: Determinant and area of a parallelogram
- Linear Algebra: Determinant as Scaling Factor
- Linear Algebra: Transpose of a Matrix
- Linear Algebra: Determinant of Transpose
- Linear Algebra: Transposes of sums and inverses
- Linear Algebra: Transpose of a Vector
- Linear Algebra: Rowspace and Left Nullspace
- Lin Alg: Visualizations of Left Nullspace and Rowspace
- Linear Algebra: Orthogonal Complements
- Linear Algebra: Rank(A) = Rank(transpose of A)
- Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n
- Lin Alg: Representing vectors in Rn using subspace members
- Lin Alg: Orthogonal Complement of the Orthogonal Complement
- Lin Alg: Orthogonal Complement of the Nullspace
- Lin Alg: Unique rowspace solution to Ax=b
- Linear Alg: Rowspace Solution to Ax=b example
- Lin Alg: Showing that A-transpose x A is invertible
- Linear Algebra: Projections onto Subspaces
- Linear Alg: Visualizing a projection onto a plane
- Lin Alg: A Projection onto a Subspace is a Linear Transforma
- Linear Algebra: Subspace Projection Matrix Example
- Lin Alg: Another Example of a Projection Matrix
- Linear Alg: Projection is closest vector in subspace
- Linear Algebra: Least Squares Approximation
- Linear Algebra: Least Squares Examples
- Linear Algebra: Another Least Squares Example
- Linear Algebra: Coordinates with Respect to a Basis
- Linear Algebra: Change of Basis Matrix
- Lin Alg: Invertible Change of Basis Matrix
- Lin Alg: Transformation Matrix with Respect to a Basis
- Lin Alg: Alternate Basis Tranformation Matrix Example
- Lin Alg: Alternate Basis Tranformation Matrix Example Part 2
- Lin Alg: Changing coordinate systems to help find a transformation matrix
- Linear Algebra: Introduction to Orthonormal Bases
- Linear Algebra: Coordinates with respect to orthonormal bases
- Lin Alg: Projections onto subspaces with orthonormal bases
- Lin Alg: Finding projection onto subspace with orthonormal basis example
- Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix
- Lin Alg: Orthogonal matrices preserve angles and lengths
- Linear Algebra: The Gram-Schmidt Process
- Linear Algebra: Gram-Schmidt Process Example
- Linear Algebra: Gram-Schmidt example with 3 basis vectors
- Linear Algebra: Introduction to Eigenvalues and Eigenvectors
- Linear Algebra: Proof of formula for determining Eigenvalues
- Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix
- Linear Algebra: Finding Eigenvectors and Eigenspaces example
- Linear Algebra: Eigenvalues of a 3x3 matrix
- Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix
- Linear Algebra: Showing that an eigenbasis makes for good coordinate systems
- Vector Triple Product Expansion (very optional)
- Normal vector from plane equation
- Point distance to plane
- Distance Between Planes

Massachusetts Tests for Education Licensure (MTEL) General Curriculum (03) Practice Test explained by Sal. Good problems for deep understanding of pre-algebra concepts.

- MTEL Math Practice Test: 1-4
- MTEL Math Practice Test: 5-8
- MTEL Math Practice Test: 9-11
- MTEL Math Practice Test: 12 -15
- MTEL Math Practice Test: 16-19
- MTEL Math Practice Test: 20-23
- MTEL Math Practice Test: 24-27
- MTEL Math Practice Test: 28-30
- MTEL Math Practice Test: 31-35
- MTEL Math Practice Test: 36-40
- MTEL Math Practice Test: 41-45

Topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed

- Representing Structures of Organic Molecules
- Naming Simple Alkanes
- Naming Alkanes with Alkyl Groups
- Correction - 2-Propylheptane should never be the name!
- Common and Systematic Naming-Iso, Sec and Tert Prefixes
- More Organic Chemistry Naming Examples 1
- Organic Chemistry Naming Examples 2
- Organic Chemistry Naming Examples 3
- Organic Chemistry Naming Examples 4
- Organic Chemistry Naming Examples 5
- Naming Alkenes Examples
- Naming Alkyl Halides
- sp3 Hybridized Orbitals and Sigma Bonds
- Pi bonds and sp2 Hybridized Orbitals
- Newman Projections
- Newman Projections 2
- Chair and Boat Shapes for Cyclohexane
- Double Newman Diagram for Methcyclohexane
- Introduction to Chirality
- Chiral Examples 1
- Chiral Examples 2
- Cahn-Ingold-Prelog System for Naming Enantiomers
- R,S (Cahn-Ingold-Prelog) Naming System Example 2
- Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds
- Cis-Trans and E-Z Naming Scheme for Alkenes
- Entgegen-Zusammen Naming Scheme for Alkenes Examples
- Introduction to Reaction Mechanisms
- Markovnikov's Rule and Carbocations
- Addition of Water (Acid-Catalyzed) Mechanism
- Polymerization of Alkenes with Acid
- Sn2 Reactions
- Sn1 Reactions
- Steric Hindrance
- Sn2 Stereochemistry
- Solvent Effects on Sn1 and Sn2 Reactions
- Nucleophilicity (Nucleophile Strength)
- Nucleophilicity vs. Basicity
- E2 Reactions
- E1 Reactions
- Zaitsev's Rule
- Comparing E2 E1 Sn2 Sn1 Reactions
- E2 E1 Sn2 Sn1 Reactions Example 2
- E2 E1 Sn2 Sn1 Reactions Example 3
- Free Radical Reactions
- Alcohols
- Alcohol Properties
- Resonance
- Ether Naming and Introduction
- Cyclic ethers and epoxide naming
- Ring-opening Sn2 reaction of expoxides
- Sn1 and Sn2 epoxide opening discussion
- Aromatic Compounds and Huckel's Rule
- Naming Benzene Derivatives Introduction
- Electrophilic Aromatic Substitution
- Bromination of Benzene
- Amine Naming Introduction
- Amine Naming 2
- Amine as Nucleophile in Sn2 Reaction
- Amine in Sn2 part 2
- Sn1 Amine Reaction
- Aldehyde Introduction
- Ketone Naming
- Friedel Crafts Acylation
- Friedel Crafts Acylation Addendum
- Keto Enol Tautomerization
- Carboxlic Acid Introduction
- Carboxylic Acid Naming
- Fisher Esterification
- Acid Chloride Formation
- Amides, Anhydrides, Esters and Acyl Chlorides
- Relative Stability of Amides Esters Anhydrides and Acyl Chlorides
- Amide Formation from Acyl Chloride
- Aldol Reaction

Videos to help understand the bailout.

- Bailout 1: Liquidity vs. Solvency
- Bailout 2: Book Value
- Bailout 3: Book value vs. market value
- Bailout 4: Mark-to-model vs. mark-to-market
- Bailout 5: Paying off the debt
- Bailout 6: Getting an equity infusion
- Bailout 7: Bank goes into bankruptcy
- Bailout 8: Systemic Risk
- Bailout 9: Paulson's Plan
- Bailout 10: Moral Hazard
- Bailout 11: Why these CDOs could be worth nothing
- Bailout 12: Lone Star Transaction
- Bailout 14: Possible Solution
- Bailout 15: More on the solution

Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.

- Introduction to motion
- Introduction to motion (part 2)
- Introduction to motion (part 3)
- Projectile motion (part 1)
- Projectile motion (part 2)
- Projectile motion (part 3)
- Projectile motion (part 4)
- Projectile motion (part 5)
- Projectile motion (part 6)
- Projectile motion (part 7)
- Projectile motion (part 8)
- Projectile motion (part 9)
- Projectile motion (part 10)
- 2 dimensional projectile motion (part 1)
- 2 dimensional projectile motion (part 2)
- 2-dimensional projectile motion (part 3)
- 2 dimensional projectile motion part 4
- 2-dimensional projectile motion part 5
- Optimal angle for a projectile part 1
- Optimal angle for a projectile part 2 - Hangtime
- Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed)
- Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus
- Newton's First Law of Motion
- Newton's Second Law of Motion
- Newton's Third Law of Motion
- Newton's Laws Problems (part 1)
- Newton's Laws Examples (part 2)
- Newton's Laws
- Newton's Laws and vectors
- Force with Vectors
- Introduction to Tension
- Tension (part 2)
- Mass on Inclined Plane
- Introduction to friction
- Friction on an inclined plane
- A more complicated friction/inclined plane problem
- Tension in an accelerating system and pie in the face
- Moving pulley problem (part 1)
- Moving pulley problem (part 2)
- Introduction to Momentum
- Momentum: Ice skater throws a ball
- 2-dimensional momentum problem
- 2-dimensional momentum problem (part 2)
- Introduction to work and energy
- Work and Energy (part 2)
- Conservation of Energy
- Work/Energy problem with Friction
- Introduction to mechanical advantage
- Mechanical Advantage (part 2)
- Mechanical Advantage (part 3)
- Center of Mass
- Introduction to Torque
- Moments
- Moments (part 2)
- Unit Vector Notation
- Unit Vector Notation (part 2)
- Projectile Motion with Unit Vectors
- Projectile Motion with Unit Vectors (part 2)
- Projectile Motion with Ordered Set Notation
- Introduction to centripetal acceleration (part 1)
- Centripetal Acceleration (part 2)
- Centripetal Acceleration (part 3)
- Visual Proof: a= v^2/r
- Calculus Proof that a=v^2/r
- Introduction to angular velocity
- Conservation of angular momemtum
- Introduction to Newton's Law of Gravitation
- Gravitation (part 2)
- Intro to springs and Hooke's Law
- Potential energy stored in a spring
- Spring potential energy example (mistake in math)
- Introduction to Harmonic Motion
- Harmonic Motion Part 2 (calculus)
- Harmonic Motion Part 3 (no calculus)
- Fluids (part 1)
- Fluids (part 2)
- Fluids (part 3)
- Fluids (part 4)
- Fluids (part 5)
- Fluids (part 6)
- Fluids (part 7)
- Fluids (part 8)
- Fluids (part 9)
- Fluids (part 10)
- Fluids (part 11)
- Fluids (part 12)
- Thermodynamics (part 1)
- Thermodynamics (part 2)
- Thermodynamics (part 3)
- Thermodynamics (part 4)
- Thermodynamics (part 5)
- Electrostatics (part 1): Introduction to Charge and Coulomb's Law
- Electrostatics (part 2)
- Proof (Advanced): Field from infinite plate (part 1)
- Proof (Advanced): Field from infinite plate (part 2)
- Electric Potential Energy
- Electric Potential Energy (part 2-- involves calculus)
- Voltage
- Capacitance
- Circuits (part 1)
- Circuits (part 2)
- Circuits (part 3)
- Circuits (part 4)
- Cross product 1
- Cross Product 2
- Cross Product and Torque
- Introduction to Magnetism
- Magnetism 2
- Magnetism 3
- Magnetism 4
- Magnetism 5
- Magnetism 6: Magnetic field due to current
- Magnetism 7
- Magnetism 8
- Magnetism 9: Electric Motors
- Magnetism 10: Electric Motors
- Magnetism 11: Electric Motors
- Magnetism 12: Induced Current in a Wire
- The dot product
- Dot vs. Cross Product
- Calculating dot and cross products with unit vector notation
- Introduction to Waves
- Amplitude, Period, Frequency and Wavelength of Periodic Waves
- Introduction to the Doppler Effect
- Doppler effect formula for observed frequency
- Doppler effect formula when source is moving away
- When the source and the wave move at the same velocity
- Mach Numbers
- Specular and Diffuse Reflection
- Specular and Diffuse Reflection 2
- Refraction and Snell's Law
- Refraction in Water
- Snell's Law Examples 1
- Snell's Law Example 2
- Total Internal Reflection
- Virtual Image
- Parabolic Mirrors and Real Images
- Parabolic Mirrors 2
- Convex Parabolic Mirrors
- Convex Lenses
- Convex Lens Examples
- Concave Lenses
- Object Image and Focal Distance Relationship (Proof of Formula)
- Object Image Height and Distance Relationship

Videos on pre-algebra. Should be ready for the "Algebra" playlist if you understand everything here.

- Negative Numbers Introduction
- Adding/Subtracting negative numbers
- Multiplying and dividing negative numbers
- Adding and subtracting fractions
- Multiplying fractions
- Dividing fractions
- Introduction to Order of Operations
- More Complicated Order of Operations Example
- Level 1 Exponents
- Level 2 Exponents
- Level 3 exponents
- Negative Exponent Intuition
- Exponent Rules Part 1
- Exponent Rules Part 2
- Simplifying radicals
- Introduction to Logarithms
- Unit conversion
- Speed translation
- Introduction to logarithm properties
- Introduction to logarithm properties (part 2)
- Scientific Notation
- Scientific Notation Examples
- Introduction to Ratios (new HD version)
- Unit Conversion Example: Drug Dosage
- Common Divisibility Examples
- Binary Numbers
- Binary, Decimal and Hexadecimal Number Systems
- Number Base Conversion Practice
- Significant Figures
- More on Significant Figures
- Multiplying and Dividing with Significant Figures
- Addition and Subtraction with Significant Figures
- Pure Numbers and Significant Digits

Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.

- Introduction to Limits
- Limit Examples (part 1)
- Limit Examples (part 2)
- Limit Examples (part3)
- Limit Examples w/ brain malfunction on first prob (part 4)
- Squeeze Theorem
- Proof: lim (sin x)/x
- More Limits
- Sequences and Series (part 1)
- Sequences and series (part 2)
- Permutations
- Combinations
- Binomial Theorem (part 1)
- Binomial Theorem (part 2)
- Binomial Theorem (part 3)
- Introduction to interest
- Interest (part 2)
- Introduction to compound interest and e
- Compound Interest and e (part 2)
- Compound Interest and e (part 3)
- Compound Interest and e (part 4)
- Exponential Growth
- Polar Coordinates 1
- Polar Coordinates 2
- Polar Coordinates 3
- Parametric Equations 1
- Parametric Equations 2
- Parametric Equations 3
- Parametric Equations 4
- Introduction to Function Inverses
- Function Inverse Example 1
- Function Inverses Example 2
- Function Inverses Example 3
- Basic Complex Analysis
- Exponential form to find complex roots
- Complex Conjugates
- Series Sum Example
- Complex Determinant Example
- 2003 AIME II Problem 8

Basic probability. Should have a reasonable grounding in basic algebra before watching.

- Probability (part 1)
- Probability (part 2)
- Probability (part 3)
- Probability (part 4)
- Probability (part 5)
- Probability (part 6)
- Dependent Probability Example 1
- Dependent Probability Example 2
- Probability (part 7)
- Probability (part 8)
- Permutations
- Combinations
- Probability using Combinations
- Probability and Combinations (part 2)
- Conditional Probability and Combinations
- Birthday Probability Problem
- Introduction to Random Variables
- Probability Density Functions
- Binomial Distribution 1
- Binomial Distribution 2
- Binomial Distribution 3
- Binomial Distribution 4
- Expected Value: E(X)
- Expected Value of Binomial Distribution
- Poisson Process 1
- Poisson Process 2
- Law of Large Numbers
- Probability 1 Module Examples
- Term Life Insurance and Death Probability

I am going to work through every problem in the College Board "Official SAT Study Guide." You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or review. Have fun!

- SAT prep: test 1 section3 part 1
- SAT Prep: Test 1 Section 3 Part 2
- SAT Prep: Test 1 Section 3 Part 3
- SAT Prep: Test 1 Section 3 Part 4
- SAT Prep: Test 1 Section 3 Part 5
- SAT Prep: Test 1 Section 3 Part 6
- SAT Prep: Test 1 Section 3 Part 7
- SAT Prep: Test 1 Section 3 Part 8
- SAT Prep: Test 1 Section 6 Part 1
- SAT Prep: Test 1 Section 6 Part 2
- SAT Prep: Test 1 Section 6 Part 3
- SAT Prep: Test 1 Section 6 Part 4
- SAT Prep: Test 1 Section 6 Part 5
- SAT Prep: Test 1 Section 6 Part 6
- SAT Prep: Test 1 Section 9 Part 1
- SAT Prep: Test 1 Section 9 Part 2
- SAT Prep: Test 1 Section 9 Part 3
- SAT Prep: Test 1 Section 9 Part 4
- SAT Prep: Test 1 Section 9 Part 5
- SAT Prep: Test 2 Section 3 part 1
- SAT Prep: Test 2 Section 3 Part 2
- SAT Prep: Test 2 Section 3 Part 3
- SAT Prep: Test 2 Section 3 Part 4
- SAT Prep: Test 2 Section 3 Part 5
- SAT Prep: Test 2 Section 3 Part 6
- SAT Prep: Test 2 Section 6 Part 1
- SAT Prep: Test 2 Section 6 Part 2
- SAT Prep: Test 2 Section 6 Part 3
- SAT Prep: Test 2 Section 6 Part 4
- SAT Prep: Test 2 Section 6 Part 5
- SAT Prep: Test 2 Section 6 Part 6
- SAT Prep: Test 2 Section 9 Part 1
- SAT Prep: Test 2 Section 9 Part 2
- SAT Prep: Test 2 Section 9 Part 3
- SAT Prep: Test 2 Section 9 Part 4
- SAT Prep: Test 3 Section 2 Part 1
- SAT Prep: Test 3 Section 2 Part 2
- SAT Prep: Test 3 Section 2 Part 3
- SAT Prep: Test 3 Section 2 Part 4
- Test 3 Section 2 Part 5
- SAT Prep: Test 3 Section 4 Part 1
- SAT Prep: Test 3 Section 4 Part 2
- SAT Prep: Test 3 Section 4 Part 3
- SAT Prep: Test 3 Section 4 Part 4
- SAT Prep: Test 3 Section 4 Part 5
- SAT Prep: Test 3 Section 8 Part 1
- SAT Prep: Test 3 Section 8 Part 2
- SAT Prep: Test 3 Section 8 Part 3
- SAT Prep: Test 3 Section 8 Part 4
- SAT Prep: Test 4 Section 2 Part 1
- SAT Prep: Test 4 Section 2 Part 2
- SAT Prep: Test 4 Section 2 Part 3
- SAT Prep: Test 4 Section 2 Part 4
- SAT Prep: Test 4 Section 2 Part 5
- SAT Prep: Test 4 Section 2 Part 6
- SAT Prep: Test 4 Section 4 Part 1
- SAT Prep: Test 4 Section 4 Part 2
- SAT Prep: Test 4 Section 4 Part 3
- SAT Prep: Test 4 Section 4 Part 4
- SAT Prep: Test 4 Section 8 Part 1
- SAT Prep: Test 4 Section 8 Part 2
- SAT Prep: Test 4 Section 8 Part 3
- SAT Prep: Test 4 Section 8 Part 4
- SAT Prep: Test 5 Section 3 Part 1
- SAT Prep: Test 5 Section 3 Part 2
- SAT Prep: Test 5 Section 3 Part 3
- SAT Prep: Test 5 Section 3 Part 4
- SAT Prep: Test 5 Section 3 Part 5
- SAT Prep: Test 5 Section 3 Part 6
- SAT Prep: Test 5 Section 7 Part 1
- SAT Prep: Test 5 Section 7 Part 2
- SAT Prep: Test 5 Section 7 Part 3
- SAT Prep: Test 5 Section 7 Part 4
- SAT Prep: Test 5 Section 7 Part 5
- SAT Prep: Test 5 Section 7 Part 6
- SAT Prep: Test 5 Section 9 Part 1
- SAT Prep: Test 5 Section 9 Part 2
- SAT Prep: Test 5 Section 9 Part 3
- SAT Prep: Test 5 Section 9 Part 4
- SAT Prep: Test 6 Section 3 Part 1
- SAT Prep: Test 6 Section 3 Part 2
- SAT Prep: Test 6 Section 3 Part 3
- SAT Prep: Test 6 Section 3 Part 4
- SAT Prep: Test 6 Section 3 Part 5
- SAT Prep: Test 6 Section 7 Part 1
- SAT Prep: Test 6 Section 7 Part 2
- SAT Prep: Test 6 Section 7 Part 3
- SAT Prep: Test 6 Section 7 Part 4
- SAT Prep: Test 6 Section 7 Part 5
- SAT Prep: Test 6 Section 7 Part 6
- SAT Prep: Test 6 Section 9 Part 1
- SAT Prep: Test 6 Section 9 Part 2
- SAT Prep: Test 6 Section 9 Part 3
- SAT Prep: Test 6 Section 9 Part 4
- SAT Prep: Test 7 Section 2 Part 1
- SAT Prep: Test 7 Section 2 Part 2
- SAT Prep: Test 7 Section 2 Part 3
- SAT Prep: Test 7 Section 2 Part 4
- SAT Prep: Test 7 Section 5 Part 1
- SAT Prep: Test 7 Section 5 Part 2
- SAT Prep: Test 7 Section 5 Part 3
- SAT Prep: Test 7 Section 5 Part 4
- SAT Prep: Test 7 Section 5 Part 5
- SAT Prep: Test 7 Section 8 Part 1
- SAT Prep: Test 7 Section 8 Part 2
- SAT Prep: Test 7 Section 8 Part 3
- SAT Prep: Test 7 Section 8 Part 4
- SAT Prep: Test 8 Section 2 Part 1
- SAT Prep: Test 8 Section 2 Part 2
- SAT Prep: Test 8 Section 2 Part 3
- SAT Prep: Test 8 Section 2 Part 4
- SAT Prep: Test 8 Section 5 Part 1
- SAT Prep: Test 8 Section 5 Part 2
- SAT Prep: Test 8 Section 5 Part 3
- SAT Prep: Test 8 Section 5 Part 4
- SAT Prep: Test 8 Section 8 Part 1
- SAT Prep: Test 8 Section 8 Part 2
- SAT Prep: Test 8 Section 8 Part 3

We will (eventually)do all of the lectures in the Singapore Math curriculum (which we like). You can follow along through the workbooks available at singaporemath.com

- Singapore Math: Grade 3a, Unit 1 (part 1)
- Singapore Math: Grade 3a Unit 1 (part 2)
- Singapore Math: Grade 3a, Unit 1 (part 3)
- Singapore Math: Grade 3a, Unit 1 (part 4)
- Singapore Math: Grade 3a, Unit 1 (part 5)
- Singapore Math: Grade 3a, Unit 1 (part 6)
- Singapore Math: Grade 3a, Unit 1 (part 7)
- Singapore Math: Grade 3a, Unit 1 (part 8)
- Singapore Math: Grade 3a, Unit 1 (part 9)
- Singapore Math: Grade 3a Unit 2 (part 1)
- Singapore Math: Grade 3a Unit 2 (part 2)
- Singapore Math: Grade 3a Unit 2 (part 3)
- Singapore Math: Grade 3a Unit 2 (part 4)
- Singapore Math: Grade 3a Unit 2 (part 5)
- Singapore Math: Grade 3a Unit 2 (part 6)
- Singapore Math: Grade 3a Unit 2 (part 7)
- Singapore Math: Grade 3a Unit 2 (part 8)
- Singapore Math: Grade 3a Unit 2 (part 9)
- Singapore Math: Grade 3a Unit 2 (part 10)
- Singapore Math: Grade 3a Unit 2 (part 11)

Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course (not there yet!)

- Statistics: The Average
- Statistics: Sample vs. Population Mean
- Statistics: Variance of a Population
- Statistics: Sample Variance
- Statistics: Standard Deviation
- Statistics: Alternate Variance Formulas
- Introduction to Random Variables
- Probability Density Functions
- Binomial Distribution 1
- Binomial Distribution 2
- Binomial Distribution 3
- Binomial Distribution 4
- Expected Value: E(X)
- Expected Value of Binomial Distribution
- Poisson Process 1
- Poisson Process 2
- Law of Large Numbers
- Normal Distribution Excel Exercise
- Introduction to the Normal Distribution
- ck12.org Normal Distribution Problems: Qualitative sense of normal distributions
- ck12.org Normal Distribution Problems: z-score
- ck12.org Normal Distribution Problems: Empirical Rule
- ck12.org Exercise: Standard Normal Distribution and the Empirical Rule
- ck12.org: More Empirical Rule and Z-score practice
- Central Limit Theorem
- Sampling Distribution of the Sample Mean
- Sampling Distribution of the Sample Mean 2
- Standard Error of the Mean
- Sampling Distribution Example Problem
- Confidence Interval 1
- Mean and Variance of Bernoulli Distribution Example
- Bernoulli Distribution Mean and Variance Formulas
- Margin of Error 1
- Margin of Error 2
- Confidence Interval Example
- Small Sample Size Confidence Intervals
- Hypothesis Testing and P-values
- One-Tailed and Two-Tailed Tests
- Z-statistics vs. T-statistics
- Type 1 Errors
- Small Sample Hypothesis Test
- T-Statistic Confidence Interval
- Large Sample Proportion Hypothesis Testing
- Variance of Differences of Random Variables
- Difference of Sample Means Distribution
- Confidence Interval of Difference of Means
- Clarification of Confidence Interval of Difference of Means
- Hypothesis Test for Difference of Means
- Comparing Population Proportions 1
- Comparing Population Proportions 2
- Hypothesis Test Comparing Population Proportions
- Squared Error of Regression Line
- Proof (Part 1) Minimizing Squared Error to Regression Line
- Proof (Part 3) Minimizing Squared Error to Regression Line
- Proof (Part 4) Minimizing Squared Error to Regression Line
- Regression Line Example
- Proof Part 2 Minimizing Squared Error to Line
- R-Squared or Coefficient of Determination
- Second Regression Example
- Calculating R-Squared
- Covariance and the Regression Line
- Chi-Square Distribution Introduction
- Pearson's Chi Square Test (Goodness of Fit)
- Contingency Table Chi-Square Test
- ANOVA 1 - Calculating SST (Total Sum of Squares)
- ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi
- ANOVA 3 -Hypothesis Test with F-Statistic

Videos on trigonometry. Watch the "Geometry" playlist first if you have trouble understanding the topics covered here.

- Basic Trigonometry
- Basic Trigonometry II
- Radians and degrees
- Using Trig Functions
- Using Trig Functions Part II
- The unit circle definition of trigonometric function
- Unit Circle Definition of Trig Functions
- Graph of the sine function
- Graphs of trig functions
- Graphing trig functions
- More trig graphs
- Determining the equation of a trigonometric function
- Trigonometric Identities
- Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
- Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
- Trig identities part 2 (parr 4 if you watch the proofs)
- Trig identies part 3 (part 5 if you watch the proofs)
- Trigonometry word problems (part 1)
- Trigonometry word problems (part 2)
- Law of cosines
- Navigation Word Problem
- Proof: Law of Sines
- Ferris Wheel Trig Problem
- Ferris Wheel Trig Problem (part 2)
- Fun Trig Problem
- Polar Coordinates 1
- Polar Coordinates 2
- Polar Coordinates 3
- Inverse Trig Functions: Arcsin
- Inverse Trig Functions: Arctan
- Inverse Trig Functions: Arccos
- Trigonometry Identity Review/Fun
- IIT JEE Trigonometry Problem 1
- IIT JEE Trigonometric Maximum
- IIT JEE Trigonometric Constraints
- Trigonometric System Example
- 2003 AIME II Problem 11.avi
- 2003 AIME II Problem 14

Building blocks and case studies on the financial analysis and valuation of public equities.

All of the sources of funding (capital) for a business.

Select problems from ck12.org's Algebra 1 FlexBook (Open Source Textbook). This is a good playlist to review if you want to make sure you have a good understanding of all of the major topics in Algebra I.

- Variable Expressions
- Order of Operations
- Patterns and Equations
- Equations and Inequalities
- Domain and Range of a Function
- Functions as Graphs
- Word Problem Solving Plan 1
- Word Problem Solving Strategies
- Integers and Rational Numbers
- Addition of Rational Numbers
- Subraction of Rational Numbers
- Multiplication of Rational Numbers
- Distributive Property
- Division of Rational Numbers
- Square Roots and Real Numbers
- Problem Solving Word Problems 2
- One Step Equations
- Two-Step Equations
- Multi-Step Equations
- Equations with Variables on Both Sides
- Ratio and Proportion
- Scale and Indirect Measurement
- Percent Problems
- Word Problem Solving 3
- The Coordinate Plane
- Graphing Using Intercepts
- Graphs of Linear Equations
- Slope and Rate of Change
- Graphs Using Slope-Intercept Form
- Direct Variation Models
- Linear Function Graphs
- Word Problem Solving 4
- Linear Equations in Slope Intercept Form
- Linear Equations in Point Slope Form
- Linear Equations in Standard Form
- Equations of Parallel and Perpendicular Lines
- Fitting a Line to Data
- Predicting with Linear Models
- Using a Linear Model
- Inequalities Using Addition and Subtraction
- Inequalities Using Multiplication and Division
- Multi-Step Inequalities
- Compound Inequalities
- Absolute Value Equations
- Absolute Value Inequalities
- Graphing Inequalities
- Solving Linear Systems by Graphing
- Solving Linear Systems by Substitution
- Solving Systems of Equations by Elimination
- Solving Systems of Equations by Multiplication
- Special Types of Linear Systems
- Systems of Linear Inequalities
- Exponent Properties Involving Products
- Exponent Properties Involving Quotients
- Zero, Negative, and Fractional Exponents
- Scientific Notation
- Exponential Growth Functions
- Exponential Decay Functions
- Geometric Sequences (Introduction)
- Word Problem Solving- Exponential Growth and Decay
- Addition and Subtraction of Polynomials
- Multiplication of Polynomials
- Special Products of Binomials
- Polynomial Equations in Factored Form
- Factoring Quadratic Expressions
- Factoring Special Products
- Factor by Grouping and Factoring Completely
- Graphs of Quadratic Functions
- Solving Quadratic Equations by Graphing
- Solving Quadratic Equations by Square Roots
- Solving Quadratic Equations by Completing the Square
- Using the Quadratic Formula
- Proof of Quadratic Formula
- Discriminant of Quadratic Equations
- Linear, Quadratic, and Exponential Models
- Identifying Quadratic Models
- Identifying Exponential Models
- Quadratic Regression
- Graphs of Square Root Functions
- Radical Expressions with Higher Roots
- More Simplifying Radical Expressions
- How to Rationalize a Denominator
- Extraneous Solutions to Radical Equations
- Radical Equation Examples
- More Involved Radical Equation Example
- Pythagorean Theorem
- Distance Formula
- Midpoint Formula
- Visual Pythagorean Theorem Proof
- Average or Central Tendency: Arithmetic Mean, Median, and Mode
- Range, Variance and Standard Deviation as Measures of Dispersion
- Stem and Leaf Plots
- Histograms
- Box-and-whisker Plot
- Proportionality
- Asymptotes of Rational Functions
- Another Rational Function Graph Example
- A Third Example of Graphing a Rational Function
- Polynomial Division
- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding Rational Expressions Example 1
- Adding Rational Expressions Example 2
- Adding Rational Expressions Example 3
- Solving Rational Equations
- Two more examples of solving rational equations
- Surveys and Samples