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Algebra

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.

  1. Simple Equations
  2. Equations 2
  3. Equations 3
  4. Algebra: Linear Equations 4
  5. Algebra: Solving Inequalities
  6. Algebra: graphing lines 1
  7. Algebra: Slope and Y-intercept intuition
  8. Algebra: Slope
  9. Algebra: Slope 2
  10. Algebra: Slope 3
  11. Algebra: Equation of a line
  12. Slope and Y-intercept Intuition
  13. Averages
  14. Integer sums
  15. Taking percentages
  16. Growing by a percentage
  17. Another Percent Word Problem
  18. More percent problems
  19. systems of equations
  20. Introduction to Ratios (new HD version)
  21. Ratio problem with basic algebra (new HD)
  22. More advanced ratio problem--with Algebra (HD version)
  23. Alternate Solution to Ratio Problem (HD Version)
  24. Introduction to Ratios
  25. Advanced ratio problems
  26. Age word problems 1
  27. Age word problems 2
  28. Age word problems 3
  29. Level 1 multiplying expressions
  30. Solving a quadratic by factoring
  31. i and Imaginary numbers
  32. Complex Numbers (part 1)
  33. Complex Numbers (part 2)
  34. Introduction to the quadratic equation
  35. Quadratic Equation part 2
  36. Completing the square
  37. Quadratic Formula (proof)
  38. Quadratic Inequalities
  39. Quadratic Inequalities (Visual Explanation)
  40. Introduction to functions
  41. Functions Part 2
  42. Functions (Part III)
  43. Functions (part 4)
  44. Domain of a function
  45. Proof: log a + log b = log ab
  46. Proof: A(log B) = log (B^A), log A - log B = log (A/B)
  47. Proof: log_a (B) = (log_x (B))/(log_x (A))
  48. Algebraic Long Division
  49. Introduction to Conic Sections
  50. Conic Sections: Intro to Circles
  51. Conic Sections: Intro to Ellipses
  52. Conic Sections: Intro to Hyperbolas
  53. Conic Sections: Hyperbolas 2
  54. Conic Sections: Hyperbolas 3
  55. Identifying Conics 1
  56. Identifying Conics 2
  57. Conic Identification 3
  58. Foci of an Ellipse
  59. Foci of a Hyperbola
  60. Proof: Hyperbola Foci
  61. Partial Fraction Expansion 1
  62. Partial Fraction Expansion 2
  63. Partial Fraction Expansion 3
  64. Parabola Focus and Directrix 1
  65. Focus and Directrix of a Parabola 2
  66. Two Passing Bicycles Word Problem
  67. Passed Bike Word Problem
  68. Passing Trains
  69. Overtaking Word Problem
  70. Early Train Word Problem
  71. Officer on Horseback
  72. Rational Inequalities
  73. Rational Inequalities 2
  74. Interesting Polynomial Coefficient Problem
  75. Geometric series sum to figure out mortgage payments
  76. Introduction to Function Inverses
  77. Function Inverse Example 1
  78. Function Inverses Example 2
  79. Function Inverses Example 3
  80. Direct and Inverse Variation
  81. Recognizing Direct and Inverse Variation
  82. Recognizing Odd and Even Functions
  83. Connection between even and odd numbers and functions
 
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Algebra I Worked Examples

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).

  1. Solving Equations 1
  2. Solving Equations 2
  3. Solving Equations with the Distributive Property
  4. Solving equations with the distributive property 2
  5. Algebraic Word Problem
  6. Sum of Consecutive Odd Integers
  7. Example of Solving for a Variable
  8. Solving for a Variable 2
  9. Absolute Value 1
  10. Absolute Value and Number Lines
  11. Absolute Value Equations 1
  12. Absolute Value Equation Example 2
  13. Patterns in Sequences 1
  14. Patterns in Sequences 2
  15. Equations of Sequence Patterns
  16. Finding the 100th Term in a Sequence
  17. Functional Relationships 1
  18. Testing if a relationship is a function
  19. Domain and Range 1
  20. Domain and Range 2
  21. Direct Variation 1
  22. Basic Rate Problem
  23. Basic Linear Function
  24. Exploring linear relationships
  25. Recognizing Linear Functions
  26. Exploring nonlinear relationships
  27. Slope of a line
  28. Slope Example
  29. X and Y intercepts
  30. X and Y intercepts 2
  31. Graphing a line in slope intercept form
  32. Equation of a line
  33. Converting to slope-intercept form
  34. Point-slope and standard form
  35. Parallel Lines
  36. Parallel Lines 2
  37. Parallel lines 3
  38. Perpendicular Lines
  39. Perpendicular lines 2
  40. Interpreting Inequalities
  41. Solving Inequalities
  42. Inequalities
  43. Absolute value inequalities
  44. Absolute Inequalities 2
  45. Absolute value inequalities 3
  46. Writing and using inequalities
  47. Writing and using inequalities 2
  48. Writing and using inequalities 3
  49. Solving and graphing linear inequalities in two variables
  50. Graphing linear inequalities in two variables
  51. Graphing linear inequalities in two variables
  52. Solving systems by graphing
  53. Solving systems by graphing 2
  54. Solving systems by graphing 3
  55. Solving systems by substitution 1
  56. Solving systems by substitution 2
  57. Solving systems by substitution 3
  58. Solving systems by elimination
  59. Solving systems by elimination 2
  60. Solving systems by elimination 3
  61. Systems and rate problems
  62. Systems and rate problems 2
  63. Systems and rate problems 3
  64. Mixture problems 1
  65. Mixture problems 2
  66. Mixture problems 3
  67. Graphing systems of inequalities
  68. Graphing systems of inequalities 2
  69. Graphing systems of inequalities 3
  70. Exponent Rules 1
  71. Exponent Rules 2
  72. Exponent Rules 3
  73. Scientific notation 1
  74. Scientific notation 2
  75. Scientific notation 3
  76. Simplifying Expressions with Exponents
  77. Simplifying Expressions with Exponents 2
  78. Simplifying Expressions with Exponents 3
  79. Pythagorean Theorem 1
  80. Pythagorean Theorem 2
  81. Pythagorean Theorem 3
  82. Simplifying Radical Expressions1
  83. Simplifying Radical Expressions 2
  84. Simplifying Radical Expressions 3
  85. Solving Radical Equations 1
  86. Solving Radical Equations 2
  87. Solving Radical Equations 3
  88. Applying Radical Equations 1
  89. Applying Radical Equations 2
  90. Applying Radical Equations 3
  91. Fractional Exponent Expressions 1
  92. Fractional Exponent Expressions 2
  93. Fractional Exponent Expressions 3
  94. Multiplying and Dividing Monomials 1
  95. Multiplying and Dividing Monomials 2
  96. Multiplying and Dividing Monomials 3
  97. Polynomials1
  98. Polynomials 2
  99. Adding and Subtracting Polynomials 1
  100. Adding and Subtracting Polynomials 2
  101. Adding and Subtracting Polynomials 3
  102. Multiplying Polynomials1
  103. Multiplying Polynomials 2
  104. Multiplying Polynomials 3
  105. Special Products of Polynomials 1
  106. Special Products of Polynomials 2
  107. U08_L2_T4_we3 Special Products of Polynomials 3
  108. Bay Area CBS Station with Salman Khan
  109. Factoring and the Distributive Property
  110. Factoring and the Distributive Property 2
  111. Factoring and the Distributive Property 3
  112. Factoring Trinomials by Grouping 1
  113. Factoring Trinomials by Grouping 2
  114. U09_L1_T2_we3 Factoring Trinomials by Grouping 3
  115. Factoring Trinomials by Grouping 4
  116. Factoring Trinomials by Grouping 5
  117. Factoring Trinomials by Grouping 6
  118. U09_L2_T1_we1 Factoring Special Products 1
  119. Factoring Special Products 2
  120. U09_L2_T1_we3 Factoring Special Products 3
  121. Solving Quadratic Equations by Factoring.avi
  122. Solving Quadratic Equations by Factoring 2.avi
  123. Solving Quadratic Equations by Factoring 3.avi
  124. Quadratic Functions 1
  125. Quadratic Functions 2
  126. Quadratic Functions 3
  127. Completing the Square 1
  128. Completing the Square 2
  129. Completing the Square 3
  130. Completing the Square 4
  131. Quadratic Formula 1
  132. Quadratic Formula 2
  133. Quadratic Formula 3
  134. Applying Quadratic Functions 1
  135. Applying Quadratic Functions 2
  136. Applying Quadratic Functions 3
  137. Non-Linear Systems of Equations 1
  138. Non-Linear Systems of Equations 2
  139. Non-Linear Systems of Equations 3
  140. Simplifying Rational Expressions 1
  141. Simplifying Rational Expressions 2
  142. Simplifying Rational Expressions 3
  143. Multiplying and Dividing Rational Expressions 1
  144. Multiplying and Dividing Rational Expressions 2
  145. Multiplying and Dividing Rational Expressions 3
  146. Adding and Subtracting Rational Expressions 1
  147. Adding and Subtracting Rational Expressions 2
  148. Adding and Subtracting Rational Expressions 3
  149. Solving Rational Equations 1
  150. Solving Rational Equations 2
  151. Solving Rational Equations 3
  152. Applying Rational Equations 1
  153. Applying Rational Equations 2
  154. Applying Rational Equations 3
  155. Number Sets 1
  156. Number Sets 2
  157. Number Sets 3
  158. Understanding Logical Statements 1
  159. Understanding Logical Statements 2
  160. Understanding Logical Statements 3
  161. Understanding Logical Statements 4
  162. Understanding Logical Statements Commentary
  163. U12_L1_T3_we1 Inductive Reasoning 1
  164. Inductive Reasoning 2
  165. Inductive Reasoning 3
  166. Deductive Reasoning 1
  167. Deductive Reasoning 2
  168. Deductive Reasoning 3
  169. Events and Outcomes 1
  170. Events and Outcomes 2
  171. Events and Outcomes 3
  172. U12_L2_T2_we1 Independent Events 1
  173. Independent Events 2
  174. Independent Events 3
  175. Permutations and Combinations 1
  176. Permutations and Combinations 2
  177. Permutations and Combinations 3
  178. Permutations and Combinations 4
  179. Probability of Dependent Events
  180. Probability of Dependent Events 2
  181. U02_L2_T2_we1 Absolute Value Equations.avi
  182. U06_L3_T1_we3 Graphing Systems of Inequalities
  183. U06_L1_T1_we1 Solving Systems by Graphing
  184. U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables
  185. U03_L2_T1_we2 Representing Functions as Graphs
  186. U03_L1_T1_we2 Inductive Patterns
 
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Biology

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

  1. Introduction to Evolution and Natural Selection
  2. Ape Clarification
  3. Intelligent Design and Evolution
  4. Evolution Clarification
  5. Natural Selection and the Owl Butterfly
  6. DNA
  7. Variation in a Species
  8. Chromosomes, Chromatids, Chromatin, etc.
  9. Mitosis, Meiosis and Sexual Reproduction
  10. Phases of Mitosis
  11. Phases of Meiosis
  12. Embryonic Stem Cells
  13. Cancer
  14. Introduction to Heredity
  15. Punnett Square Fun
  16. Hardy-Weinberg Principle
  17. Sex-Linked Traits
  18. Bacteria
  19. Viruses
  20. ATP: Adenosine Triphosphate
  21. Introduction to Cellular Respiration
  22. Oxidation and Reduction Review From Biological Point-of-View
  23. Oxidation and Reduction in Cellular Respiration
  24. Glycolysis
  25. Krebs / Citric Acid Cycle
  26. Electron Transport Chain
  27. Oxidative Phosphorylation and Chemiosmosis
  28. Photosynthesis
  29. Photosynthesis: Light Reactions 1
  30. Photosynthesis: Light Reactions and Photophosphorylation
  31. Photosynthesis: Calvin Cycle
  32. Photorespiration
  33. C-4 Photosynthesis
  34. CAM Plants
  35. Parts of a cell
  36. Diffusion and Osmosis
  37. The Lungs and Pulmonary System
  38. Red blood cells
  39. Circulatory System and the Heart
  40. Hemoglobin
  41. Anatomy of a Neuron
  42. Sodium Potassium Pump
  43. Correction to Sodium and Potassium Pump Video
  44. Electrotonic and Action Potentials
  45. Saltatory Conduction in Neurons
  46. Neuronal Synapses (Chemical)
  47. Myosin and Actin
  48. Tropomyosin and troponin and their role in regulating muscle contraction
  49. Role of the Sarcoplasmic Reticulum in Muscle Cells
  50. Anatomy of a muscle cell
  51. Role of Phagocytes in Innate or Nonspecific Immunity
  52. Types of immune responses: Innate and Adaptive. Humoral vs. Cell-Mediated
  53. B Lymphocytes (B cells)
  54. Professional Antigen Presenting Cells (APC) and MHC II complexes
  55. Helper T Cells
  56. Cytotoxic T Cells
  57. Review of B cells, CD4+ T cells and CD8+ T cells
  58. Inflammatory Response
  59. The Kidney and Nephron
  60. Secondary Active Transport in the Nephron
  61. Glucose Insulin and Diabetes
  62. Blood Sugar Levels
  63. A1C Levels
  64. Heart Disease and Heart Attacks
  65. Thrombo-emboli and Thromboembolisms
  66. Stenosis, ischemia and heart failure
  67. Strokes
 
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CAHSEE Example Problems

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.

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

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)

  1. Introduction to Limits (HD)
  2. Introduction to Limits
  3. Limit Examples (part 1)
  4. Limit Examples (part 2)
  5. Limit Examples (part3)
  6. Limit Examples w/ brain malfunction on first prob (part 4)
  7. Squeeze Theorem
  8. Proof: lim (sin x)/x
  9. More Limits
  10. Epsilon Delta Limit Definition 1
  11. Epsilon Delta Limit Definition 2
  12. Calculus: Derivatives 1 (new HD version)
  13. Calculus: Derivatives 2 (new HD version)
  14. Calculus: Derivatives 2.5 (new HD version)
  15. Calculus: Derivatives 1
  16. Calculus: Derivatives 2
  17. Calculus: Derivatives 3
  18. The Chain Rule
  19. Chain Rule Examples
  20. Even More Chain Rule
  21. Product Rule
  22. Quotient Rule
  23. Derivatives (part 9)
  24. Proof: d/dx(x^n)
  25. Proof: d/dx(sqrt(x))
  26. Proof: d/dx(ln x) = 1/x
  27. Proof: d/dx(e^x) = e^x
  28. Proofs of Derivatives of Ln(x) and e^x
  29. Extreme Derivative Word Problem (advanced)
  30. Implicit Differentiation
  31. Implicit Differentiation (part 2)
  32. More implicit differentiation
  33. More chain rule and implicit differentiation intuition
  34. Trig Implicit Differentiation Example
  35. Calculus: Derivative of x^(x^x)
  36. Introduction to L'Hopital's Rule
  37. L'Hopital's Rule Example 1
  38. L'Hopital's Rule Example 2
  39. L'Hopital's Rule Example 3
  40. Maxima Minima Slope Intuition
  41. Inflection Points and Concavity Intuition
  42. Monotonicity Theorem
  43. Calculus: Maximum and minimum values on an interval
  44. Calculus: Graphing Using Derivatives
  45. Calculus Graphing with Derivatives Example
  46. Graphing with Calculus
  47. Optimization with Calculus 1
  48. Optimization with Calculus 2
  49. Optimization with Calculus 3
  50. Optimization Example 4
  51. Introduction to rate-of-change problems
  52. Equation of a tangent line
  53. Rates-of-change (part 2)
  54. Ladder rate-of-change problem
  55. Mean Value Theorem
  56. The Indefinite Integral or Anti-derivative
  57. Indefinite integrals (part II)
  58. Indefinite Integration (part III)
  59. Indefinite Integration (part IV)
  60. Indefinite Integration (part V)
  61. Integration by Parts (part 6 of Indefinite Integration)
  62. Indefinite Integration (part 7)
  63. Another u-subsitution example
  64. Introduction to definite integrals
  65. Definite integrals (part II)
  66. Definite Integrals (area under a curve) (part III)
  67. Definite Integrals (part 4)
  68. Definite Integrals (part 5)
  69. Definite integral with substitution
  70. Integrals: Trig Substitution 1
  71. Integrals: Trig Substitution 2
  72. Integrals: Trig Substitution 3 (long problem)
  73. Periodic Definite Integral
  74. Introduction to differential equations
  75. Solid of Revolution (part 1)
  76. Solid of Revolution (part 2)
  77. Solid of Revolution (part 3)
  78. Solid of Revolution (part 4)
  79. Solid of Revolution (part 5)
  80. Solid of Revolution (part 6)
  81. Solid of Revolution (part 7)
  82. Solid of Revolution (part 8)
  83. Sequences and Series (part 1)
  84. Sequences and series (part 2)
  85. Maclauren and Taylor Series Intuition
  86. Cosine Taylor Series at 0 (Maclaurin)
  87. Sine Taylor Series at 0 (Maclaurin)
  88. Taylor Series at 0 (Maclaurin) for e to the x
  89. Euler's Formula and Euler's Identity
  90. Visualizing Taylor Series Approximations
  91. Generalized Taylor Series Approximation
  92. Visualizing Taylor Series for e^x
  93. Polynomial approximation of functions (part 1)
  94. Polynomial approximation of functions (part 2)
  95. Approximating functions with polynomials (part 3)
  96. Polynomial approximation of functions (part 4)
  97. Polynomial approximations of functions (part 5)
  98. Polynomial approximation of functions (part 6)
  99. Polynomial approximation of functions (part 7)
  100. Taylor Polynomials
  101. Exponential Growth
  102. AP Calculus BC Exams: 2008 1 a
  103. AP Calculus BC Exams: 2008 1 b&c
  104. AP Calculus BC Exams: 2008 1 c&d
  105. AP Calculus BC Exams: 2008 1 d
  106. Calculus BC 2008 2 a
  107. Calculus BC 2008 2 b &c
  108. Calculus BC 2008 2d
  109. Partial Derivatives
  110. Partial Derivatives 2
  111. Gradient 1
  112. Gradient of a scalar field
  113. Divergence 1
  114. Divergence 2
  115. Divergence 3
  116. Curl 1
  117. Curl 2
  118. Curl 3
  119. Double Integral 1
  120. Double Integrals 2
  121. Double Integrals 3
  122. Double Integrals 4
  123. Double Integrals 5
  124. Double Integrals 6
  125. Triple Integrals 1
  126. Triple Integrals 2
  127. Triple Integrals 3
  128. (2^ln x)/x Antiderivative Example
  129. Introduction to the Line Integral
  130. Line Integral Example 1
  131. Line Integral Example 2 (part 1)
  132. Line Integral Example 2 (part 2)
  133. Position Vector Valued Functions
  134. Derivative of a position vector valued function
  135. Differential of a vector valued function
  136. Vector valued function derivative example
  137. Line Integrals and Vector Fields
  138. Using a line integral to find the work done by a vector field example
  139. Parametrization of a Reverse Path
  140. Scalar Field Line Integral Independent of Path Direction
  141. Vector Field Line Integrals Dependent on Path Direction
  142. Path Independence for Line Integrals
  143. Closed Curve Line Integrals of Conservative Vector Fields
  144. Example of Closed Line Integral of Conservative Field
  145. Second Example of Line Integral of Conservative Vector Field
  146. Green's Theorem Proof Part 1
  147. Green's Theorem Proof (part 2)
  148. Green's Theorem Example 1
  149. Green's Theorem Example 2
  150. Introduction to Parametrizing a Surface with Two Parameters
  151. Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
  152. Partial Derivatives of Vector-Valued Functions
  153. Introduction to the Surface Integral
  154. Example of calculating a surface integral part 1
  155. Example of calculating a surface integral part 2
  156. Example of calculating a surface integral part 3
 
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Chemistry

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

  1. Introduction to the atom
  2. Orbitals
  3. More on orbitals and electron configuration
  4. Electron Configurations
  5. Electron Configurations 2
  6. Valence Electrons
  7. Groups of the Periodic Table
  8. Periodic Table Trends: Ionization Energy
  9. Other Periodic Table Trends
  10. Ionic, Covalent, and Metallic Bonds
  11. Molecular and Empirical Formulas
  12. The Mole and Avogadro's Number
  13. Formula from Mass Composition
  14. Another mass composition problem
  15. Balancing Chemical Equations
  16. Stoichiometry
  17. Stoichiometry: Limiting Reagent
  18. Ideal Gas Equation: PV=nRT
  19. Ideal Gas Equation Example 1
  20. Ideal Gas Equation Example 2
  21. Ideal Gas Equation Example 3
  22. Ideal Gas Example 4
  23. Partial Pressure
  24. States of Matter
  25. States of Matter Follow-Up
  26. Specific Heat, Heat of Fusion and Vaporization
  27. Chilling Water Problem
  28. Phase Diagrams
  29. Van Der Waals Forces
  30. Covalent Networks, Metallic, and Ionic Crystals
  31. Vapor Pressure
  32. Suspensions, Colloids and Solutions
  33. Solubility
  34. Boiling Point Elevation and Freezing Point Supression
  35. Introduction to Kinetics
  36. Reactions in Equilibrium
  37. Mini-Video on Ion Size
  38. Keq Intuition (mathy and not necessary to progress)
  39. Keq derivation intuition (can skip; bit mathy)
  40. Heterogenous Equilibrium
  41. Le Chatelier's Principle
  42. Introduction to pH, pOH, and pKw
  43. Acid Base Introduction
  44. pH, pOH of Strong Acids and Bases
  45. pH of a Weak Acid
  46. pH of a Weak Base
  47. Conjugate Acids and Bases
  48. pKa and pKb Relationship
  49. Buffers and Hendersen-Hasselbalch
  50. Strong Acid Titration
  51. Weak Acid Titration
  52. Half Equivalence Point
  53. Titration Roundup
  54. Introduction to Oxidation States
  55. More on Oxidation States
  56. Hydrogen Peroxide Correction
  57. Redox Reactions
  58. Galvanic Cells
  59. Types of Decay
  60. Half-Life
  61. Exponential Decay Formula Proof (can skip, involves Calculus)
  62. Introduction to Exponential Decay
  63. More Exponential Decay Examples
  64. Macrostates and Microstates
  65. Quasistatic and Reversible Processes
  66. First Law of Thermodynamics/ Internal Energy
  67. More on Internal Energy
  68. Work from Expansion
  69. PV-diagrams and Expansion Work
  70. Proof: U=(3/2)PV or U=(3/2)nRT
  71. Work Done by Isothermic Process
  72. Carnot Cycle and Carnot Engine
  73. Proof: Volume Ratios in a Carnot Cycle
  74. Proof: S (or Entropy) is a valid state variable
  75. Thermodynamic Entropy Definition Clarification
  76. Reconciling Thermodynamic and State Definitions of Entropy
  77. Entropy Intuition
  78. Maxwell's Demon
  79. More on Entropy
  80. Efficiency of a Carnot Engine
  81. Carnot Efficiency 2: Reversing the Cycle
  82. Carnot Efficiency 3: Proving that it is the most efficient
  83. Enthalpy
  84. Heat of Formation
  85. Hess's Law and Reaction Enthalpy Change
  86. Gibbs Free Energy and Spontaneity
  87. Gibbs Free Energy Example
  88. More rigorous Gibbs Free Energy/ Spontaneity Relationship
  89. A look at a seductive but wrong Gibbs/Spontaneity Proof
  90. Stoichiometry Example Problem 1
  91. Stoichiometry Example Problem 2
  92. Limiting Reactant Example Problem 1
  93. Empirical and Molecular Formulas from Stoichiometry
  94. Example of Finding Reactant Empirical Formula
  95. Stoichiometry of a Reaction in Solution
  96. Another Stoichiometry Example in a Solution
  97. Molecular and Empirical Forumlas from Percent Composition
  98. Acid Base Titration
  99. Spectrophotometry Introduction
  100. Spectrophotometry Example
  101. Hess's Law Example
  102. Vapor Pressure Example
  103. Change of State Example
  104. Carbon 14 Dating 1
  105. Carbon 14 Dating 2
 
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Cosmology and Astronomy

Videos attempting to grasp a little bit about our Universe

  1. Scale of Earth and Sun
  2. Scale of Solar System
  3. Scale of Distance to Closest Stars
  4. Scale of the Galaxy
  5. Intergalactic Scale
  6. Hubble Image of Galaxies
  7. Big Bang Introduction
  8. Radius of Observable Universe
  9. (Correction) Radius of Observable Universe
  10. Red Shift
  11. Cosmic Background Radiation
  12. Cosmic Background Radiation 2
  13. Cosmological Time Scale 1
  14. Cosmological Time Scale 2
  15. Four Fundamental Forces
  16. Birth of Stars
  17. Becoming a Red Giant
  18. White and Black Dwarfs
  19. A Universe Smaller than the Observable
  20. Star Field and Nebula Images
  21. Parallax in Observing Stars
  22. Stellar Distance Using Parallax
  23. Stellar Parallax Clarification
  24. Parsec Definition
  25. Hubble's Law
  26. Lifecycle of Massive Stars
  27. Supernova (Supernovae)
  28. Supernova clarification
  29. Black Holes
  30. Cepheid Variables 1
  31. Why Cepheids Pulsate
  32. Why Gravity Gets So Strong Near Dense Objects
  33. Supermassive Black Holes
  34. Quasars
  35. Quasar Correction
  36. Galactic Collisions
  37. Earth Formation
  38. Beginnings of Life
  39. Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon
  40. Biodiversity Flourishes in Phanerozoic Eon
  41. First living things on land clarification
  42. Plate Tectonics-- Difference between crust and lithosphere
  43. Structure of the Earth
  44. Plate Tectonics -- Evidence of plate movement
  45. Plate Tectonics -- Geological Features of Divergent Plate Boundaries
  46. Plate Tectonics-- Geological features of Convergent Plate Boundaries
  47. Plates Moving Due to Convection in Mantle
  48. Hawaiian Islands Formation
  49. Compositional and Mechanical Layers of the Earth
  50. Seismic Waves
  51. Why S-Waves Only Travel in Solids
  52. Refraction of Seismic Waves
  53. The Mohorovicic Seismic Discontinuity
  54. How we know about the Earth's core
  55. Pangaea
  56. Scale of the Large
  57. Scale of the Small
  58. Detectable Civilizations in our Galaxy 1
  59. Detectable Civilizations in our Galaxy 2
  60. Detectable Civilizations in our Galaxy 3
  61. Detectable Civilizations in our Galaxy 4
  62. Detectable Civilizations in our Galaxy 5
 
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Developmental Math

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

  1. Place Value 1
  2. Place Value 2
  3. Place Value 3
  4. Rounding Whole Numbers 1
  5. Rounding Whole Numbers 2
  6. Rounding Whole Numbers 3
  7. Comparing Whole Numbers
  8. Comparing Whole Numbers 2
  9. Comparing Whole Numbers 3
  10. Adding Whole Numbers and Applications 1
  11. Adding Whole Numbers and Applications 2
  12. Adding Whole Numbers and Applications 3
  13. Adding Whole Numbers and Applications 4
  14. Rounding to Estimate Differences
  15. Rounding to Estimate Sums
  16. Rounding to Estimate Sums 2
  17. Multiplying Whole Numbers and Applications 1
  18. Multiplying Whole Numbers and Applications 2
  19. Multiplying Whole Numbers and Applications 3
  20. Multiplying Whole Numbers and Applications 4
  21. Multiplying Whole Numbers and Applications 5
  22. Dividing Whole Numbers and Applications 1
  23. Dividing Whole Numbers and Applications 2
  24. Dividing Whole Numbers and Applications 3
  25. Dividing Whole Numbers and Applications 4
  26. Dividing Whole Numbers and Applications 5
  27. Dividing Whole Numbers and Applications 6
  28. Properties of Whole Numbers
  29. Identity Property of 1
  30. Commutative Law of Addition
  31. Commutative Law of Multiplication
  32. Associative Law of Addition
  33. Associative Law of Multiplication
  34. The Distributive Property
  35. The Distributive Property 2
  36. Understanding Exponents
  37. Understanding Exponents 2
  38. Understanding Square Roots
  39. Order of Operations
  40. Order of Operations 2
  41. Numerator and Denominator of a Fraction
  42. Identifying Fraction Parts
  43. Proper and Improper Fractions
  44. Changing a Mixed Number to an Improper Fraction
  45. Changing an Improper Fraction to a Mixed Number
  46. Recognizing Divisibility
  47. Finding Factors of a Number
  48. Prime Factorization
  49. Equivalent Fractions
  50. Fractions in lowest terms
  51. Comparing Fractions
  52. Comparing Fractions 2
  53. Multiplying Fractions
  54. Multiplying Mixed Numbers
  55. Multiplying Fractions and Mixed Numbers
  56. Multiplying Fractions Word Problem
  57. Reciprocal of a Mixed Number
  58. Dividing Fractions
  59. Dividing Mixed Numbers
  60. Dividing Mixed Numbers and Fractions
  61. Dividing Fractions Word Problem
  62. Adding Fractions with Like Denominators
  63. Adding Fractions with Unlike Denominators
  64. Adding Mixed Numbers
  65. Adding Mixed Numbers with Unlike Denominators
  66. Adding Mixed Numbers Word Problem
  67. Subtracting Fractions
  68. Subtracting Mixed Numbers
  69. Subtracting Mixed Numbers 2
  70. Subtracting Mixed Numbers Word Problem
  71. Decimal Place Value
  72. Decimal Place Value 2
  73. Decimals and Fractions
  74. Comparing Decimals
  75. Rounding Decimals
  76. Adding Decimals
  77. Subtracting Decimals
  78. Subtracting Decimals Word Problem
  79. Multiplying Decimals
  80. Multiplying Decimals 2
  81. Dividing Decimals
  82. Dividing Decimals 2
  83. Dividing Decimals 2.1
  84. Mulitplyling Decimals 3
  85. Estimation with Decimals
  86. Ratios as Fractions in Simplest Form
  87. Simplifying Rates and Ratios
  88. Finding Unit Rates
  89. Finding Unit Prices
  90. Understanding Proportions
  91. Find an Unknown in a Proportion
  92. Find an Unknown in a Proportion 2
  93. Describing the Meaning of Percent
  94. Describing the Meaning of Percent 2
  95. Representing a number as a decimal, percent, and fraction
  96. Representing a number as a decimal, percent, and fraction 2
  97. Solving Percent Problems
  98. Solving Percent Problems 2
  99. Solving Percent Problems 3
  100. Converting Yards into Inches
  101. Adding different units of length
  102. Converting units of length
  103. Converting pounds to ounces
  104. Adding different units for weight
  105. Application problems involving units of weight
  106. Converting Gallons to quarts pints and cups
  107. Performing arithmetic calculations on units of volume
  108. Solving application problems involving units of volume
  109. U.S. Customary and Metric units
  110. Conversion between metric units
  111. Converting within the metric system
  112. Applying the Metric System
  113. Comparing Celsius and Farenheit temperature scales
  114. Converting Farenheit to Celsius
  115. Variables and Expressions 1
  116. Locate integers on a number line
  117. Absolute Value of Integers
  118. Opposite of a given number
  119. Number Sets
  120. Points on a number line
  121. Adding integers with same sign
  122. Adding integers with different signs
  123. Adding real numbers with different signs
  124. Adding fractions with different signs
  125. Identity property of 0
  126. Application of addition of real numbers
  127. Subtracting real numbers
  128. Adding and subtracting real numbers
  129. Adding and subtracting real numbers application
  130. Multiplying negative real numbers
  131. Dividing real numbers with different signs
  132. Identity property of 1
  133. Multiplying real number application
  134. Commutative Property for Addition
  135. Associative property for multiplication
  136. Distributive property
  137. Order of Operations
  138. Order of Operations 2
  139. Solving One-Step Equations
  140. Solving One-Step Equations 2
  141. Multi-step equations 1
  142. Multi-step equations 2
  143. Equation Special Cases
  144. Application problems with equation in one variable
  145. Evaluate a formula using substitution
  146. Rearrange formulas to isolate specific variables
  147. Inequalities on a number line
  148. One-Step Inequalities
  149. One-Step Inequalities 2
  150. Multi-Step Inequalities
  151. Multi-Step Inequalities 2
  152. Compund Inequalities
  153. Compund Inequalities 2
  154. Compound Inequalities 3
  155. Compound Inequalities 4
  156. Absolute Value Equations
  157. Absolute Value Inequalities
  158. Absolute Value Equations 2
  159. Evaluating exponential expressions
  160. Evaluating exponential expressions 2
  161. Evaluating exponential expressions 3
  162. Exponent Properties 1
  163. Exponent Properties 2
  164. Exponent Properties 3
  165. Exponent Properties 4
  166. Exponent Properties 5
  167. Exponent Properties 6
  168. Exponent Properties 7
  169. Scientific Notation I
  170. Scientific Notation 2
  171. Scientific Notation 3
  172. Terms coefficients and exponents in a polynomial
  173. Evaluating a polynomial at a given value
  174. Simply a polynomial
  175. Adding Polynomials
  176. Opposite of a Polynomial
  177. Subtracting Polynomials
  178. Multiplying Monomials
  179. Multiplying Monomials by Polynomials
  180. Multiplying Binomials
  181. Multiplying Polynomials
  182. Special Polynomials Products 1
  183. Square a Binomial
  184. Dividing Monomials
  185. Polynomial divided by monomial
  186. Dividing polynomials 1
  187. Dividing polynomials with remainders
  188. Evaluating an expression with multiple variables
  189. Simplifying an expression with multiple variables
  190. Adding polynomials with multiple variables
  191. Subtracting polynomials with multiple variables
  192. More multiplying polynomials
  193. Dividing multivariable polynomial with monomial
 
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Developmental Math 2

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

  1. Monomial Greatest Common Factor
  2. Factor polynomials using the GCF
  3. Factor expressions by grouping
  4. Factoring trinomials with a leading 1 coefficient
  5. Factoring trinomials with a common factor
  6. Factoring trinomials with a non-1 leading coefficient by grouping
  7. Factoring perfect square trinomials
  8. Factoring difference of squares
  9. Factoring Sum of Cubes
  10. Factoring the Difference of Cubes
  11. Solving factored equations
  12. Solving quadratics by factoring
  13. Applications Problem Factoring Quadratics
  14. Plotting (x,y) relationships
  15. Quadrants of Coordinate Plane
  16. Graphing using X and Y intercepts
  17. Ordered pair solutions of equations
  18. Application problem with graph
  19. Graphical Slope of a Line
  20. Slope of a Line 2
  21. Slope of a Line 3
  22. Equation of a line
  23. Equation of a line 2
  24. Equation of a line 3
  25. Slope of Perpendicular Line
  26. Parallel Line Equation
  27. Graphing Inequalities
  28. Graphing Inequalities 2
  29. Graphings Systems of Equations
  30. Testing a solution for a system of equations
  31. Consistent and Inconsistent Systems
  32. Independent and Dependent Systems
  33. Graphical Systems Application Problem
  34. Graphical System of Inequalities
  35. Testing Solutions for a System of Inequalities
  36. System of Inequalities Application
  37. The Substitution Method
  38. Substitution Method 2
  39. Substitution Method 3
  40. Addition Elimination Method 1
  41. Addition Elimination Method 2
  42. Addition Elimination Method 3
  43. Addition Elimination Method 4
  44. Systems of Three Variables
  45. Systems of Three Variables 2
  46. Three Equation Application Problem
  47. Solutions to Three Variable System
 
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Differential Equations

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

  1. Introduction to differential equations
  2. Separable Differential Equations
  3. Separable differential equations 2
  4. Exact Equations Intuition 1 (proofy)
  5. Exact Equations Intuition 2 (proofy)
  6. Exact Equations Example 1
  7. Exact Equations Example 2
  8. Exact Equations Example 3
  9. Integrating factors 1
  10. Integrating factors 2
  11. First order homegenous equations
  12. First order homogenous equations 2
  13. 2nd Order Linear Homogeneous Differential Equations 1
  14. 2nd Order Linear Homogeneous Differential Equations 2
  15. 2nd Order Linear Homogeneous Differential Equations 3
  16. 2nd Order Linear Homogeneous Differential Equations 4
  17. Complex roots of the characteristic equations 1
  18. Complex roots of the characteristic equations 2
  19. Complex roots of the characteristic equations 3
  20. Repeated roots of the characteristic equation
  21. Repeated roots of the characterisitic equations part 2
  22. Undetermined Coefficients 1
  23. Undetermined Coefficients 2
  24. Undetermined Coefficients 3
  25. Undetermined Coefficients 4
  26. Laplace Transform 1
  27. Laplace Transform 2
  28. Laplace Transform 3 (L{sin(at)})
  29. Laplace Transform 4
  30. Laplace Transform 5
  31. Laplace Transform 6
  32. Laplace Transform to solve an equation
  33. Laplace Transform solves an equation 2
  34. More Laplace Transform tools
  35. Using the Laplace Transform to solve a nonhomogenous eq
  36. Laplace Transform of : L{t}
  37. Laplace Transform of t^n: L{t^n}
  38. Laplace Transform of the Unit Step Function
  39. Inverse Laplace Examples
  40. Laplace/Step Function Differential Equation
  41. Dirac Delta Function
  42. Laplace Transform of the Dirac Delta Function
  43. Introduction to the Convolution
  44. The Convolution and the Laplace Transform
  45. Using the Convolution Theorem to Solve an Initial Value Prob
 
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Finance

Videos on finance and macroeconomics

  1. Introduction to interest
  2. Interest (part 2)
  3. Introduction to Present Value
  4. Present Value 2
  5. Present Value 3
  6. Present Value 4 (and discounted cash flow)
  7. Introduction to Balance Sheets
  8. More on balance sheets and equity
  9. Home equity loans
  10. Renting vs. Buying a home
  11. Renting vs. buying a home (part 2)
  12. Renting vs. Buying (detailed analysis)
  13. The housing price conundrum
  14. Housing price conundrum (part 2)
  15. Housing Price Conundrum (part 3)
  16. Housing Conundrum (part 4)
  17. Raising money for a startup
  18. Getting a seed round from a VC
  19. Going back to the till: Series B
  20. An IPO
  21. More on IPOs
  22. What it means to buy a company's stock
  23. Bonds vs. Stocks
  24. Shorting Stock
  25. Shorting Stock 2
  26. Is short selling bad?
  27. Chapter 7:Bankruptcy Liquidation
  28. Chapter 11: Bankruptcy Restructuring
  29. Return on capital
  30. Mortgage-Backed Securities I
  31. Mortgage-backed securities II
  32. Mortgage-backed securities III
  33. Collateralized Debt Obligation (CDO)
  34. Introduction to the yield curve
  35. Introduction to compound interest and e
  36. Compound Interest and e (part 2)
  37. Compound Interest and e (part 3)
  38. Compound Interest and e (part 4)
  39. Bailout 1: Liquidity vs. Solvency
  40. Bailout 2: Book Value
  41. Bailout 3: Book value vs. market value
  42. Bailout 4: Mark-to-model vs. mark-to-market
  43. Bailout 5: Paying off the debt
  44. Bailout 6: Getting an equity infusion
  45. Bailout 7: Bank goes into bankruptcy
  46. Bailout 8: Systemic Risk
  47. Bailout 9: Paulson's Plan
  48. Bailout 10: Moral Hazard
  49. Credit Default Swaps
  50. Credit Default Swaps 2
  51. Investment vs. Consumption 1
  52. Investment vs. Comsumption 2
  53. Bailout 11: Why these CDOs could be worth nothing
  54. Bailout 12: Lone Star Transaction
  55. Bailout 13: Does the bailout have a chance of working?
  56. Wealth Destruction 1
  57. Wealth Destruction 2
  58. Bailout 14: Possible Solution
  59. Bailout 15: More on the solution
  60. Banking 1
  61. Banking 2: A bank's income statement
  62. Banking 3: Fractional Reserve Banking
  63. Banking 4: Multiplier effect and the money supply
  64. Personal Bankruptcy: Chapters 7 and 13
  65. Introduction to Compound Interest
  66. The Rule of 72 for Compound Interest
  67. Annual Percentage Rate (APR) and Effective APR
  68. Introduction to Bonds
  69. Relationship between bond prices and interest rates
  70. Introduction to Mortgage Loans
  71. Traditional IRAs
  72. Roth IRAs
  73. 401(k)s
  74. Payday Loans
  75. Institutional Roles in Issuing and Processing Credit Cards
  76. Ponzi Schemes
  77. Currency Exchange Introduction
  78. Currency Effect on Trade
  79. Currency Effect on Trade Review
  80. Pegging the Yuan
  81. Chinese Central Bank Buying Treasuries
  82. American-Chinese Debt Loop
  83. Debt Loops Rationale and Effects
  84. American Call Options
  85. Basic Shorting
  86. American Put Options
  87. Call Option as Leverage
  88. Put vs. Short and Leverage
  89. Call Payoff Diagram
  90. Put Payoff Diagram
  91. Long Straddle
  92. Put as Insurance
  93. Put-Call Parity
  94. Put Writer Payoff Diagrams
  95. Call Writer Payoff Diagram
  96. Arbitrage Basics
  97. Put-Call Parity Arbitrage I
  98. Put-Call Parity Arbitrage II
  99. Put-Call Parity Clarification
  100. Actual Option Quotes
  101. Option Expiration and Price
  102. Forward Contract Introduction
  103. Futures Introduction
  104. Motivation for the Futures Exchange
  105. Futures Margin Mechanics
  106. Verifying Hedge with Futures Margin Mechanics
  107. Futures and Forward Curves
  108. Futures Curves II
  109. Contango
  110. Backwardation
  111. Contango and Backwardation Review
  112. Upper Bound on Forward Settlement Price
  113. Lower Bound on Forward Settlement Price
  114. Arbitraging Futures Contract
  115. Arbitraging Futures Contracts II
  116. Cash Accounting
  117. Accrual Basis of Accounting
  118. Comparing Accrual and Cash Accounting
  119. Balance Sheet and Income Statement Relationship
  120. Basic Cash Flow Statement
  121. Doing the example with Accounts Payable growing
  122. Expensing a Truck leads to inconsistent performance
  123. Depreciating the truck
  124. Depreciation in Cash Flow
  125. Amortization and Depreciation
  126. Basic Capital Structure Differences
  127. Market Capitalization
  128. Market Value of Assets
  129. LIBOR
  130. Fair Value Accounting
  131. Basics of US Income Tax Rate Schedule
  132. Tax Deductions Introduction
  133. Alternative Minimum Tax
  134. Term Life Insurance and Death Probability
  135. Back of Envelope Office Space Conundrum
  136. Corporations and Limited Liability
  137. Is Limited Liability or Double Taxation Fair
  138. Open-Ended Mutual Fund (Part 1)
  139. Open-End Mutual Fund Redemptions
  140. Closed-End Mutual Funds
  141. Exchange Traded Funds (ETFs)
  142. Hedge Funds Intro
  143. Hedge Fund Structure and Fees
  144. Are Hedge Funds Bad?
  145. Hedge Funds, Venture Capital, and Private Equity
  146. Treasury Bond Prices and Yields
  147. Annual Interest Varying with Debt Maturity
  148. The Yield Curve
  149. Fed Open Market Operations
  150. Quantitative Easing
  151. More on Quantitative Easing (and Credit Easing)
  152. Hedge Fund Strategies - Long Short 1
  153. Hedge Fund Strategies - Long Short 2
  154. Hedge Fund Strategies - Merger Arbitrage 1
  155. Stock Dilution
  156. Acquisitions with Shares
  157. Price Behavior After Announced Acquisition
  158. Simple Merger Arb with Share Acquisition
  159. Basic Leveraged Buyout (LBO)
  160. Corporate Debt versus Traditional Mortgages
 
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Linear Algebra

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.

  1. Introduction to matrices
  2. Matrix multiplication (part 1)
  3. Matrix multiplication (part 2)
  4. Inverse Matrix (part 1)
  5. Inverting matrices (part 2)
  6. Inverting Matrices (part 3)
  7. Matrices to solve a system of equations
  8. Matrices to solve a vector combination problem
  9. Singular Matrices
  10. 3-variable linear equations (part 1)
  11. Solving 3 Equations with 3 Unknowns
  12. Linear Algebra: Introduction to Vectors
  13. Linear Algebra: Vector Examples
  14. Linear Algebra: Parametric Representations of Lines
  15. Linear Combinations and Span
  16. Linear Algebra: Introduction to Linear Independence
  17. More on linear independence
  18. Span and Linear Independence Example
  19. Linear Subspaces
  20. Linear Algebra: Basis of a Subspace
  21. Vector Dot Product and Vector Length
  22. Proving Vector Dot Product Properties
  23. Proof of the Cauchy-Schwarz Inequality
  24. Linear Algebra: Vector Triangle Inequality
  25. Defining the angle between vectors
  26. Defining a plane in R3 with a point and normal vector
  27. Linear Algebra: Cross Product Introduction
  28. Proof: Relationship between cross product and sin of angle
  29. Dot and Cross Product Comparison/Intuition
  30. Matrices: Reduced Row Echelon Form 1
  31. Matrices: Reduced Row Echelon Form 2
  32. Matrices: Reduced Row Echelon Form 3
  33. Matrix Vector Products
  34. Introduction to the Null Space of a Matrix
  35. Null Space 2: Calculating the null space of a matrix
  36. Null Space 3: Relation to Linear Independence
  37. Column Space of a Matrix
  38. Null Space and Column Space Basis
  39. Visualizing a Column Space as a Plane in R3
  40. Proof: Any subspace basis has same number of elements
  41. Dimension of the Null Space or Nullity
  42. Dimension of the Column Space or Rank
  43. Showing relation between basis cols and pivot cols
  44. Showing that the candidate basis does span C(A)
  45. A more formal understanding of functions
  46. Vector Transformations
  47. Linear Transformations
  48. Matrix Vector Products as Linear Transformations
  49. Linear Transformations as Matrix Vector Products
  50. Image of a subset under a transformation
  51. im(T): Image of a Transformation
  52. Preimage of a set
  53. Preimage and Kernel Example
  54. Sums and Scalar Multiples of Linear Transformations
  55. More on Matrix Addition and Scalar Multiplication
  56. Linear Transformation Examples: Scaling and Reflections
  57. Linear Transformation Examples: Rotations in R2
  58. Rotation in R3 around the X-axis
  59. Unit Vectors
  60. Introduction to Projections
  61. Expressing a Projection on to a line as a Matrix Vector prod
  62. Compositions of Linear Transformations 1
  63. Compositions of Linear Transformations 2
  64. Linear Algebra: Matrix Product Examples
  65. Matrix Product Associativity
  66. Distributive Property of Matrix Products
  67. Linear Algebra: Introduction to the inverse of a function
  68. Proof: Invertibility implies a unique solution to f(x)=y
  69. Surjective (onto) and Injective (one-to-one) functions
  70. Relating invertibility to being onto and one-to-one
  71. Determining whether a transformation is onto
  72. Linear Algebra: Exploring the solution set of Ax=b
  73. Linear Algebra: Matrix condition for one-to-one trans
  74. Linear Algebra: Simplifying conditions for invertibility
  75. Linear Algebra: Showing that Inverses are Linear
  76. Linear Algebra: Deriving a method for determining inverses
  77. Linear Algebra: Example of Finding Matrix Inverse
  78. Linear Algebra: Formula for 2x2 inverse
  79. Linear Algebra: 3x3 Determinant
  80. Linear Algebra: nxn Determinant
  81. Linear Algebra: Determinants along other rows/cols
  82. Linear Algebra: Rule of Sarrus of Determinants
  83. Linear Algebra: Determinant when row multiplied by scalar
  84. Linear Algebra: (correction) scalar muliplication of row
  85. Linear Algebra: Determinant when row is added
  86. Linear Algebra: Duplicate Row Determinant
  87. Linear Algebra: Determinant after row operations
  88. Linear Algebra: Upper Triangular Determinant
  89. Linear Algebra: Simpler 4x4 determinant
  90. Linear Algebra: Determinant and area of a parallelogram
  91. Linear Algebra: Determinant as Scaling Factor
  92. Linear Algebra: Transpose of a Matrix
  93. Linear Algebra: Determinant of Transpose
  94. Linear Algebra: Transposes of sums and inverses
  95. Linear Algebra: Transpose of a Vector
  96. Linear Algebra: Rowspace and Left Nullspace
  97. Lin Alg: Visualizations of Left Nullspace and Rowspace
  98. Linear Algebra: Orthogonal Complements
  99. Linear Algebra: Rank(A) = Rank(transpose of A)
  100. Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n
  101. Lin Alg: Representing vectors in Rn using subspace members
  102. Lin Alg: Orthogonal Complement of the Orthogonal Complement
  103. Lin Alg: Orthogonal Complement of the Nullspace
  104. Lin Alg: Unique rowspace solution to Ax=b
  105. Linear Alg: Rowspace Solution to Ax=b example
  106. Lin Alg: Showing that A-transpose x A is invertible
  107. Linear Algebra: Projections onto Subspaces
  108. Linear Alg: Visualizing a projection onto a plane
  109. Lin Alg: A Projection onto a Subspace is a Linear Transforma
  110. Linear Algebra: Subspace Projection Matrix Example
  111. Lin Alg: Another Example of a Projection Matrix
  112. Linear Alg: Projection is closest vector in subspace
  113. Linear Algebra: Least Squares Approximation
  114. Linear Algebra: Least Squares Examples
  115. Linear Algebra: Another Least Squares Example
  116. Linear Algebra: Coordinates with Respect to a Basis
  117. Linear Algebra: Change of Basis Matrix
  118. Lin Alg: Invertible Change of Basis Matrix
  119. Lin Alg: Transformation Matrix with Respect to a Basis
  120. Lin Alg: Alternate Basis Tranformation Matrix Example
  121. Lin Alg: Alternate Basis Tranformation Matrix Example Part 2
  122. Lin Alg: Changing coordinate systems to help find a transformation matrix
  123. Linear Algebra: Introduction to Orthonormal Bases
  124. Linear Algebra: Coordinates with respect to orthonormal bases
  125. Lin Alg: Projections onto subspaces with orthonormal bases
  126. Lin Alg: Finding projection onto subspace with orthonormal basis example
  127. Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix
  128. Lin Alg: Orthogonal matrices preserve angles and lengths
  129. Linear Algebra: The Gram-Schmidt Process
  130. Linear Algebra: Gram-Schmidt Process Example
  131. Linear Algebra: Gram-Schmidt example with 3 basis vectors
  132. Linear Algebra: Introduction to Eigenvalues and Eigenvectors
  133. Linear Algebra: Proof of formula for determining Eigenvalues
  134. Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix
  135. Linear Algebra: Finding Eigenvectors and Eigenspaces example
  136. Linear Algebra: Eigenvalues of a 3x3 matrix
  137. Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix
  138. Linear Algebra: Showing that an eigenbasis makes for good coordinate systems
  139. Vector Triple Product Expansion (very optional)
  140. Normal vector from plane equation
  141. Point distance to plane
  142. Distance Between Planes
 
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MA Tests for Education Licensure (MTEL) -Pre-Alg

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Organic Chemistry

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

  1. Representing Structures of Organic Molecules
  2. Naming Simple Alkanes
  3. Naming Alkanes with Alkyl Groups
  4. Correction - 2-Propylheptane should never be the name!
  5. Common and Systematic Naming-Iso, Sec and Tert Prefixes
  6. More Organic Chemistry Naming Examples 1
  7. Organic Chemistry Naming Examples 2
  8. Organic Chemistry Naming Examples 3
  9. Organic Chemistry Naming Examples 4
  10. Organic Chemistry Naming Examples 5
  11. Naming Alkenes Examples
  12. Naming Alkyl Halides
  13. sp3 Hybridized Orbitals and Sigma Bonds
  14. Pi bonds and sp2 Hybridized Orbitals
  15. Newman Projections
  16. Newman Projections 2
  17. Chair and Boat Shapes for Cyclohexane
  18. Double Newman Diagram for Methcyclohexane
  19. Introduction to Chirality
  20. Chiral Examples 1
  21. Chiral Examples 2
  22. Cahn-Ingold-Prelog System for Naming Enantiomers
  23. R,S (Cahn-Ingold-Prelog) Naming System Example 2
  24. Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds
  25. Cis-Trans and E-Z Naming Scheme for Alkenes
  26. Entgegen-Zusammen Naming Scheme for Alkenes Examples
  27. Introduction to Reaction Mechanisms
  28. Markovnikov's Rule and Carbocations
  29. Addition of Water (Acid-Catalyzed) Mechanism
  30. Polymerization of Alkenes with Acid
  31. Sn2 Reactions
  32. Sn1 Reactions
  33. Steric Hindrance
  34. Sn2 Stereochemistry
  35. Solvent Effects on Sn1 and Sn2 Reactions
  36. Nucleophilicity (Nucleophile Strength)
  37. Nucleophilicity vs. Basicity
  38. E2 Reactions
  39. E1 Reactions
  40. Zaitsev's Rule
  41. Comparing E2 E1 Sn2 Sn1 Reactions
  42. E2 E1 Sn2 Sn1 Reactions Example 2
  43. E2 E1 Sn2 Sn1 Reactions Example 3
  44. Free Radical Reactions
  45. Alcohols
  46. Alcohol Properties
  47. Resonance
  48. Ether Naming and Introduction
  49. Cyclic ethers and epoxide naming
  50. Ring-opening Sn2 reaction of expoxides
  51. Sn1 and Sn2 epoxide opening discussion
  52. Aromatic Compounds and Huckel's Rule
  53. Naming Benzene Derivatives Introduction
  54. Electrophilic Aromatic Substitution
  55. Bromination of Benzene
  56. Amine Naming Introduction
  57. Amine Naming 2
  58. Amine as Nucleophile in Sn2 Reaction
  59. Amine in Sn2 part 2
  60. Sn1 Amine Reaction
  61. Aldehyde Introduction
  62. Ketone Naming
  63. Friedel Crafts Acylation
  64. Friedel Crafts Acylation Addendum
  65. Keto Enol Tautomerization
  66. Carboxlic Acid Introduction
  67. Carboxylic Acid Naming
  68. Fisher Esterification
  69. Acid Chloride Formation
  70. Amides, Anhydrides, Esters and Acyl Chlorides
  71. Relative Stability of Amides Esters Anhydrides and Acyl Chlorides
  72. Amide Formation from Acyl Chloride
  73. Aldol Reaction
 
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Physics

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

  1. Introduction to motion
  2. Introduction to motion (part 2)
  3. Introduction to motion (part 3)
  4. Projectile motion (part 1)
  5. Projectile motion (part 2)
  6. Projectile motion (part 3)
  7. Projectile motion (part 4)
  8. Projectile motion (part 5)
  9. Projectile motion (part 6)
  10. Projectile motion (part 7)
  11. Projectile motion (part 8)
  12. Projectile motion (part 9)
  13. Projectile motion (part 10)
  14. 2 dimensional projectile motion (part 1)
  15. 2 dimensional projectile motion (part 2)
  16. 2-dimensional projectile motion (part 3)
  17. 2 dimensional projectile motion part 4
  18. 2-dimensional projectile motion part 5
  19. Optimal angle for a projectile part 1
  20. Optimal angle for a projectile part 2 - Hangtime
  21. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed)
  22. Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus
  23. Newton's First Law of Motion
  24. Newton's Second Law of Motion
  25. Newton's Third Law of Motion
  26. Newton's Laws Problems (part 1)
  27. Newton's Laws Examples (part 2)
  28. Newton's Laws
  29. Newton's Laws and vectors
  30. Force with Vectors
  31. Introduction to Tension
  32. Tension (part 2)
  33. Mass on Inclined Plane
  34. Introduction to friction
  35. Friction on an inclined plane
  36. A more complicated friction/inclined plane problem
  37. Tension in an accelerating system and pie in the face
  38. Moving pulley problem (part 1)
  39. Moving pulley problem (part 2)
  40. Introduction to Momentum
  41. Momentum: Ice skater throws a ball
  42. 2-dimensional momentum problem
  43. 2-dimensional momentum problem (part 2)
  44. Introduction to work and energy
  45. Work and Energy (part 2)
  46. Conservation of Energy
  47. Work/Energy problem with Friction
  48. Introduction to mechanical advantage
  49. Mechanical Advantage (part 2)
  50. Mechanical Advantage (part 3)
  51. Center of Mass
  52. Introduction to Torque
  53. Moments
  54. Moments (part 2)
  55. Unit Vector Notation
  56. Unit Vector Notation (part 2)
  57. Projectile Motion with Unit Vectors
  58. Projectile Motion with Unit Vectors (part 2)
  59. Projectile Motion with Ordered Set Notation
  60. Introduction to centripetal acceleration (part 1)
  61. Centripetal Acceleration (part 2)
  62. Centripetal Acceleration (part 3)
  63. Visual Proof: a= v^2/r
  64. Calculus Proof that a=v^2/r
  65. Introduction to angular velocity
  66. Conservation of angular momemtum
  67. Introduction to Newton's Law of Gravitation
  68. Gravitation (part 2)
  69. Intro to springs and Hooke's Law
  70. Potential energy stored in a spring
  71. Spring potential energy example (mistake in math)
  72. Introduction to Harmonic Motion
  73. Harmonic Motion Part 2 (calculus)
  74. Harmonic Motion Part 3 (no calculus)
  75. Fluids (part 1)
  76. Fluids (part 2)
  77. Fluids (part 3)
  78. Fluids (part 4)
  79. Fluids (part 5)
  80. Fluids (part 6)
  81. Fluids (part 7)
  82. Fluids (part 8)
  83. Fluids (part 9)
  84. Fluids (part 10)
  85. Fluids (part 11)
  86. Fluids (part 12)
  87. Thermodynamics (part 1)
  88. Thermodynamics (part 2)
  89. Thermodynamics (part 3)
  90. Thermodynamics (part 4)
  91. Thermodynamics (part 5)
  92. Electrostatics (part 1): Introduction to Charge and Coulomb's Law
  93. Electrostatics (part 2)
  94. Proof (Advanced): Field from infinite plate (part 1)
  95. Proof (Advanced): Field from infinite plate (part 2)
  96. Electric Potential Energy
  97. Electric Potential Energy (part 2-- involves calculus)
  98. Voltage
  99. Capacitance
  100. Circuits (part 1)
  101. Circuits (part 2)
  102. Circuits (part 3)
  103. Circuits (part 4)
  104. Cross product 1
  105. Cross Product 2
  106. Cross Product and Torque
  107. Introduction to Magnetism
  108. Magnetism 2
  109. Magnetism 3
  110. Magnetism 4
  111. Magnetism 5
  112. Magnetism 6: Magnetic field due to current
  113. Magnetism 7
  114. Magnetism 8
  115. Magnetism 9: Electric Motors
  116. Magnetism 10: Electric Motors
  117. Magnetism 11: Electric Motors
  118. Magnetism 12: Induced Current in a Wire
  119. The dot product
  120. Dot vs. Cross Product
  121. Calculating dot and cross products with unit vector notation
  122. Introduction to Waves
  123. Amplitude, Period, Frequency and Wavelength of Periodic Waves
  124. Introduction to the Doppler Effect
  125. Doppler effect formula for observed frequency
  126. Doppler effect formula when source is moving away
  127. When the source and the wave move at the same velocity
  128. Mach Numbers
  129. Specular and Diffuse Reflection
  130. Specular and Diffuse Reflection 2
  131. Refraction and Snell's Law
  132. Refraction in Water
  133. Snell's Law Examples 1
  134. Snell's Law Example 2
  135. Total Internal Reflection
  136. Virtual Image
  137. Parabolic Mirrors and Real Images
  138. Parabolic Mirrors 2
  139. Convex Parabolic Mirrors
  140. Convex Lenses
  141. Convex Lens Examples
  142. Concave Lenses
  143. Object Image and Focal Distance Relationship (Proof of Formula)
  144. Object Image Height and Distance Relationship
 
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SAT Preparation

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!

  1. SAT prep: test 1 section3 part 1
  2. SAT Prep: Test 1 Section 3 Part 2
  3. SAT Prep: Test 1 Section 3 Part 3
  4. SAT Prep: Test 1 Section 3 Part 4
  5. SAT Prep: Test 1 Section 3 Part 5
  6. SAT Prep: Test 1 Section 3 Part 6
  7. SAT Prep: Test 1 Section 3 Part 7
  8. SAT Prep: Test 1 Section 3 Part 8
  9. SAT Prep: Test 1 Section 6 Part 1
  10. SAT Prep: Test 1 Section 6 Part 2
  11. SAT Prep: Test 1 Section 6 Part 3
  12. SAT Prep: Test 1 Section 6 Part 4
  13. SAT Prep: Test 1 Section 6 Part 5
  14. SAT Prep: Test 1 Section 6 Part 6
  15. SAT Prep: Test 1 Section 9 Part 1
  16. SAT Prep: Test 1 Section 9 Part 2
  17. SAT Prep: Test 1 Section 9 Part 3
  18. SAT Prep: Test 1 Section 9 Part 4
  19. SAT Prep: Test 1 Section 9 Part 5
  20. SAT Prep: Test 2 Section 3 part 1
  21. SAT Prep: Test 2 Section 3 Part 2
  22. SAT Prep: Test 2 Section 3 Part 3
  23. SAT Prep: Test 2 Section 3 Part 4
  24. SAT Prep: Test 2 Section 3 Part 5
  25. SAT Prep: Test 2 Section 3 Part 6
  26. SAT Prep: Test 2 Section 6 Part 1
  27. SAT Prep: Test 2 Section 6 Part 2
  28. SAT Prep: Test 2 Section 6 Part 3
  29. SAT Prep: Test 2 Section 6 Part 4
  30. SAT Prep: Test 2 Section 6 Part 5
  31. SAT Prep: Test 2 Section 6 Part 6
  32. SAT Prep: Test 2 Section 9 Part 1
  33. SAT Prep: Test 2 Section 9 Part 2
  34. SAT Prep: Test 2 Section 9 Part 3
  35. SAT Prep: Test 2 Section 9 Part 4
  36. SAT Prep: Test 3 Section 2 Part 1
  37. SAT Prep: Test 3 Section 2 Part 2
  38. SAT Prep: Test 3 Section 2 Part 3
  39. SAT Prep: Test 3 Section 2 Part 4
  40. Test 3 Section 2 Part 5
  41. SAT Prep: Test 3 Section 4 Part 1
  42. SAT Prep: Test 3 Section 4 Part 2
  43. SAT Prep: Test 3 Section 4 Part 3
  44. SAT Prep: Test 3 Section 4 Part 4
  45. SAT Prep: Test 3 Section 4 Part 5
  46. SAT Prep: Test 3 Section 8 Part 1
  47. SAT Prep: Test 3 Section 8 Part 2
  48. SAT Prep: Test 3 Section 8 Part 3
  49. SAT Prep: Test 3 Section 8 Part 4
  50. SAT Prep: Test 4 Section 2 Part 1
  51. SAT Prep: Test 4 Section 2 Part 2
  52. SAT Prep: Test 4 Section 2 Part 3
  53. SAT Prep: Test 4 Section 2 Part 4
  54. SAT Prep: Test 4 Section 2 Part 5
  55. SAT Prep: Test 4 Section 2 Part 6
  56. SAT Prep: Test 4 Section 4 Part 1
  57. SAT Prep: Test 4 Section 4 Part 2
  58. SAT Prep: Test 4 Section 4 Part 3
  59. SAT Prep: Test 4 Section 4 Part 4
  60. SAT Prep: Test 4 Section 8 Part 1
  61. SAT Prep: Test 4 Section 8 Part 2
  62. SAT Prep: Test 4 Section 8 Part 3
  63. SAT Prep: Test 4 Section 8 Part 4
  64. SAT Prep: Test 5 Section 3 Part 1
  65. SAT Prep: Test 5 Section 3 Part 2
  66. SAT Prep: Test 5 Section 3 Part 3
  67. SAT Prep: Test 5 Section 3 Part 4
  68. SAT Prep: Test 5 Section 3 Part 5
  69. SAT Prep: Test 5 Section 3 Part 6
  70. SAT Prep: Test 5 Section 7 Part 1
  71. SAT Prep: Test 5 Section 7 Part 2
  72. SAT Prep: Test 5 Section 7 Part 3
  73. SAT Prep: Test 5 Section 7 Part 4
  74. SAT Prep: Test 5 Section 7 Part 5
  75. SAT Prep: Test 5 Section 7 Part 6
  76. SAT Prep: Test 5 Section 9 Part 1
  77. SAT Prep: Test 5 Section 9 Part 2
  78. SAT Prep: Test 5 Section 9 Part 3
  79. SAT Prep: Test 5 Section 9 Part 4
  80. SAT Prep: Test 6 Section 3 Part 1
  81. SAT Prep: Test 6 Section 3 Part 2
  82. SAT Prep: Test 6 Section 3 Part 3
  83. SAT Prep: Test 6 Section 3 Part 4
  84. SAT Prep: Test 6 Section 3 Part 5
  85. SAT Prep: Test 6 Section 7 Part 1
  86. SAT Prep: Test 6 Section 7 Part 2
  87. SAT Prep: Test 6 Section 7 Part 3
  88. SAT Prep: Test 6 Section 7 Part 4
  89. SAT Prep: Test 6 Section 7 Part 5
  90. SAT Prep: Test 6 Section 7 Part 6
  91. SAT Prep: Test 6 Section 9 Part 1
  92. SAT Prep: Test 6 Section 9 Part 2
  93. SAT Prep: Test 6 Section 9 Part 3
  94. SAT Prep: Test 6 Section 9 Part 4
  95. SAT Prep: Test 7 Section 2 Part 1
  96. SAT Prep: Test 7 Section 2 Part 2
  97. SAT Prep: Test 7 Section 2 Part 3
  98. SAT Prep: Test 7 Section 2 Part 4
  99. SAT Prep: Test 7 Section 5 Part 1
  100. SAT Prep: Test 7 Section 5 Part 2
  101. SAT Prep: Test 7 Section 5 Part 3
  102. SAT Prep: Test 7 Section 5 Part 4
  103. SAT Prep: Test 7 Section 5 Part 5
  104. SAT Prep: Test 7 Section 8 Part 1
  105. SAT Prep: Test 7 Section 8 Part 2
  106. SAT Prep: Test 7 Section 8 Part 3
  107. SAT Prep: Test 7 Section 8 Part 4
  108. SAT Prep: Test 8 Section 2 Part 1
  109. SAT Prep: Test 8 Section 2 Part 2
  110. SAT Prep: Test 8 Section 2 Part 3
  111. SAT Prep: Test 8 Section 2 Part 4
  112. SAT Prep: Test 8 Section 5 Part 1
  113. SAT Prep: Test 8 Section 5 Part 2
  114. SAT Prep: Test 8 Section 5 Part 3
  115. SAT Prep: Test 8 Section 5 Part 4
  116. SAT Prep: Test 8 Section 8 Part 1
  117. SAT Prep: Test 8 Section 8 Part 2
  118. SAT Prep: Test 8 Section 8 Part 3
 
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Statistics

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

  1. Statistics: The Average
  2. Statistics: Sample vs. Population Mean
  3. Statistics: Variance of a Population
  4. Statistics: Sample Variance
  5. Statistics: Standard Deviation
  6. Statistics: Alternate Variance Formulas
  7. Introduction to Random Variables
  8. Probability Density Functions
  9. Binomial Distribution 1
  10. Binomial Distribution 2
  11. Binomial Distribution 3
  12. Binomial Distribution 4
  13. Expected Value: E(X)
  14. Expected Value of Binomial Distribution
  15. Poisson Process 1
  16. Poisson Process 2
  17. Law of Large Numbers
  18. Normal Distribution Excel Exercise
  19. Introduction to the Normal Distribution
  20. ck12.org Normal Distribution Problems: Qualitative sense of normal distributions
  21. ck12.org Normal Distribution Problems: z-score
  22. ck12.org Normal Distribution Problems: Empirical Rule
  23. ck12.org Exercise: Standard Normal Distribution and the Empirical Rule
  24. ck12.org: More Empirical Rule and Z-score practice
  25. Central Limit Theorem
  26. Sampling Distribution of the Sample Mean
  27. Sampling Distribution of the Sample Mean 2
  28. Standard Error of the Mean
  29. Sampling Distribution Example Problem
  30. Confidence Interval 1
  31. Mean and Variance of Bernoulli Distribution Example
  32. Bernoulli Distribution Mean and Variance Formulas
  33. Margin of Error 1
  34. Margin of Error 2
  35. Confidence Interval Example
  36. Small Sample Size Confidence Intervals
  37. Hypothesis Testing and P-values
  38. One-Tailed and Two-Tailed Tests
  39. Z-statistics vs. T-statistics
  40. Type 1 Errors
  41. Small Sample Hypothesis Test
  42. T-Statistic Confidence Interval
  43. Large Sample Proportion Hypothesis Testing
  44. Variance of Differences of Random Variables
  45. Difference of Sample Means Distribution
  46. Confidence Interval of Difference of Means
  47. Clarification of Confidence Interval of Difference of Means
  48. Hypothesis Test for Difference of Means
  49. Comparing Population Proportions 1
  50. Comparing Population Proportions 2
  51. Hypothesis Test Comparing Population Proportions
  52. Squared Error of Regression Line
  53. Proof (Part 1) Minimizing Squared Error to Regression Line
  54. Proof (Part 3) Minimizing Squared Error to Regression Line
  55. Proof (Part 4) Minimizing Squared Error to Regression Line
  56. Regression Line Example
  57. Proof Part 2 Minimizing Squared Error to Line
  58. R-Squared or Coefficient of Determination
  59. Second Regression Example
  60. Calculating R-Squared
  61. Covariance and the Regression Line
  62. Chi-Square Distribution Introduction
  63. Pearson's Chi Square Test (Goodness of Fit)
  64. Contingency Table Chi-Square Test
  65. ANOVA 1 - Calculating SST (Total Sum of Squares)
  66. ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi
  67. ANOVA 3 -Hypothesis Test with F-Statistic
 
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ck12.org Algebra 1 Examples

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.

  1. Variable Expressions
  2. Order of Operations
  3. Patterns and Equations
  4. Equations and Inequalities
  5. Domain and Range of a Function
  6. Functions as Graphs
  7. Word Problem Solving Plan 1
  8. Word Problem Solving Strategies
  9. Integers and Rational Numbers
  10. Addition of Rational Numbers
  11. Subraction of Rational Numbers
  12. Multiplication of Rational Numbers
  13. Distributive Property
  14. Division of Rational Numbers
  15. Square Roots and Real Numbers
  16. Problem Solving Word Problems 2
  17. One Step Equations
  18. Two-Step Equations
  19. Multi-Step Equations
  20. Equations with Variables on Both Sides
  21. Ratio and Proportion
  22. Scale and Indirect Measurement
  23. Percent Problems
  24. Word Problem Solving 3
  25. The Coordinate Plane
  26. Graphing Using Intercepts
  27. Graphs of Linear Equations
  28. Slope and Rate of Change
  29. Graphs Using Slope-Intercept Form
  30. Direct Variation Models
  31. Linear Function Graphs
  32. Word Problem Solving 4
  33. Linear Equations in Slope Intercept Form
  34. Linear Equations in Point Slope Form
  35. Linear Equations in Standard Form
  36. Equations of Parallel and Perpendicular Lines
  37. Fitting a Line to Data
  38. Predicting with Linear Models
  39. Using a Linear Model
  40. Inequalities Using Addition and Subtraction
  41. Inequalities Using Multiplication and Division
  42. Multi-Step Inequalities
  43. Compound Inequalities
  44. Absolute Value Equations
  45. Absolute Value Inequalities
  46. Graphing Inequalities
  47. Solving Linear Systems by Graphing
  48. Solving Linear Systems by Substitution
  49. Solving Systems of Equations by Elimination
  50. Solving Systems of Equations by Multiplication
  51. Special Types of Linear Systems
  52. Systems of Linear Inequalities
  53. Exponent Properties Involving Products
  54. Exponent Properties Involving Quotients
  55. Zero, Negative, and Fractional Exponents
  56. Scientific Notation
  57. Exponential Growth Functions
  58. Exponential Decay Functions
  59. Geometric Sequences (Introduction)
  60. Word Problem Solving- Exponential Growth and Decay
  61. Addition and Subtraction of Polynomials
  62. Multiplication of Polynomials
  63. Special Products of Binomials
  64. Polynomial Equations in Factored Form
  65. Factoring Quadratic Expressions
  66. Factoring Special Products
  67. Factor by Grouping and Factoring Completely
  68. Graphs of Quadratic Functions
  69. Solving Quadratic Equations by Graphing
  70. Solving Quadratic Equations by Square Roots
  71. Solving Quadratic Equations by Completing the Square
  72. Using the Quadratic Formula
  73. Proof of Quadratic Formula
  74. Discriminant of Quadratic Equations
  75. Linear, Quadratic, and Exponential Models
  76. Identifying Quadratic Models
  77. Identifying Exponential Models
  78. Quadratic Regression
  79. Graphs of Square Root Functions
  80. Radical Expressions with Higher Roots
  81. More Simplifying Radical Expressions
  82. How to Rationalize a Denominator
  83. Extraneous Solutions to Radical Equations
  84. Radical Equation Examples
  85. More Involved Radical Equation Example
  86. Pythagorean Theorem
  87. Distance Formula
  88. Midpoint Formula
  89. Visual Pythagorean Theorem Proof
  90. Average or Central Tendency: Arithmetic Mean, Median, and Mode
  91. Range, Variance and Standard Deviation as Measures of Dispersion
  92. Stem and Leaf Plots
  93. Histograms
  94. Box-and-whisker Plot
  95. Proportionality
  96. Asymptotes of Rational Functions
  97. Another Rational Function Graph Example
  98. A Third Example of Graphing a Rational Function
  99. Polynomial Division
  100. Simplifying Rational Expressions
  101. Multiplying and Dividing Rational Expressions
  102. Adding Rational Expressions Example 1
  103. Adding Rational Expressions Example 2
  104. Adding Rational Expressions Example 3
  105. Solving Rational Equations
  106. Two more examples of solving rational equations
  107. Surveys and Samples