Thursday, April 14, 2011

Education VDO - Pre-Algebra,investing

Pre-algebra

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

  1. Negative Numbers Introduction
  2. Adding/Subtracting negative numbers
  3. Multiplying and dividing negative numbers
  4. Adding and subtracting fractions
  5. Multiplying fractions
  6. Dividing fractions
  7. Introduction to Order of Operations
  8. More Complicated Order of Operations Example
  9. Level 1 Exponents
  10. Level 2 Exponents
  11. Level 3 exponents
  12. Negative Exponent Intuition
  13. Exponent Rules Part 1
  14. Exponent Rules Part 2
  15. Simplifying radicals
  16. Introduction to Logarithms
  17. Unit conversion
  18. Speed translation
  19. Introduction to logarithm properties
  20. Introduction to logarithm properties (part 2)
  21. Scientific Notation
  22. Scientific Notation Examples
  23. Introduction to Ratios (new HD version)
  24. Unit Conversion Example: Drug Dosage
  25. Common Divisibility Examples

Precalculus

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

  1. Introduction to Limits
  2. Limit Examples (part 1)
  3. Limit Examples (part 2)
  4. Limit Examples (part3)
  5. Limit Examples w/ brain malfunction on first prob (part 4)
  6. Squeeze Theorem
  7. Proof: lim (sin x)/x
  8. More Limits
  9. Sequences and Series (part 1)
  10. Sequences and series (part 2)
  11. Permutations
  12. Combinations
  13. Binomial Theorem (part 1)
  14. Binomial Theorem (part 2)
  15. Binomial Theorem (part 3)
  16. Introduction to interest
  17. Interest (part 2)
  18. Introduction to compound interest and e
  19. Compound Interest and e (part 2)
  20. Compound Interest and e (part 3)
  21. Compound Interest and e (part 4)
  22. Exponential Growth
  23. Polar Coordinates 1
  24. Polar Coordinates 2
  25. Polar Coordinates 3
  26. Parametric Equations 1
  27. Parametric Equations 2
  28. Parametric Equations 3
  29. Parametric Equations 4
  30. Introduction to Function Inverses
  31. Function Inverse Example 1
  32. Function Inverses Example 2
  33. Function Inverses Example 3
  34. Basic Complex Analysis
  35. Exponential form to find complex roots
  36. Complex Conjugates
  37. Series Sum Example
  38. Complex Determinant Example
  39. 2003 AIME II Problem 8

Probability

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

  1. Probability (part 1)
  2. Probability (part 2)
  3. Probability (part 3)
  4. Probability (part 4)
  5. Probability (part 5)
  6. Probability (part 6)
  7. Probability (part 7)
  8. Probability (part 8)
  9. Permutations
  10. Combinations
  11. Probability using Combinations
  12. Probability and Combinations (part 2)
  13. Conditional Probability and Combinations
  14. Birthday Probability Problem
  15. Introduction to Random Variables
  16. Probability Density Functions
  17. Binomial Distribution 1
  18. Binomial Distribution 2
  19. Binomial Distribution 3
  20. Binomial Distribution 4
  21. Expected Value: E(X)
  22. Expected Value of Binomial Distribution
  23. Poisson Process 1
  24. Poisson Process 2
  25. Law of Large Numbers
  26. Probability 1 Module Examples

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

Trigonometry

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

  1. Basic Trigonometry
  2. Basic Trigonometry II
  3. Radians and degrees
  4. Using Trig Functions
  5. Using Trig Functions Part II
  6. The unit circle definition of trigonometric function
  7. Unit Circle Definition of Trig Functions
  8. Graph of the sine function
  9. Graphs of trig functions
  10. Graphing trig functions
  11. More trig graphs
  12. Determining the equation of a trigonometric function
  13. Trigonometric Identities
  14. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
  15. Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
  16. Trig identities part 2 (parr 4 if you watch the proofs)
  17. Trig identies part 3 (part 5 if you watch the proofs)
  18. Trigonometry word problems (part 1)
  19. Trigonometry word problems (part 2)
  20. Law of cosines
  21. Navigation Word Problem
  22. Proof: Law of Sines
  23. Ferris Wheel Trig Problem
  24. Ferris Wheel Trig Problem (part 2)
  25. Fun Trig Problem
  26. Polar Coordinates 1
  27. Polar Coordinates 2
  28. Polar Coordinates 3
  29. Inverse Trig Functions: Arcsin
  30. Inverse Trig Functions: Arctan
  31. Inverse Trig Functions: Arccos
  32. Trigonometry Identity Review/Fun
  33. IIT JEE Trigonometry Problem 1
  34. IIT JEE Trigonometric Maximum
  35. IIT JEE Trigonometric Constraints
  36. Trigonometric System Example
  37. 2003 AIME II Problem 11.avi
  38. 2003 AIME II Problem 14

Valuation and Investing

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

  1. Price and Market Capitalization
  2. Introduction to the Income Statement
  3. Earnings and EPS
  4. Introduction to the Price-to-Earnings Ratio
  5. P/E Discussion
  6. ROA Discussion 1
  7. ROA Discussion 2
  8. Depreciation
  9. Amortization
  10. P/E Conundrum
  11. Enterprise Value
  12. EBITDA

Venture Capital and Capital Markets

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

  1. Raising money for a startup
  2. Getting a seed round from a VC
  3. Going back to the till: Series B
  4. An IPO
  5. More on IPOs
  6. Equity vs. Debt
  7. Bonds vs. Stocks
  8. Chapter 7:Bankruptcy Liquidation
  9. Chapter 11: Bankruptcy Restructuring

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
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