Thursday, April 14, 2011

Education VDO - Development Math,Finance,Geometry,

Development 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

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

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

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

Geithner Plan

Videos on the Geithner Plan to solve the banking crisis.

  1. Geithner Plan I
  2. Geithner Plan II
  3. Geithner Plan 2.5
  4. Geithner Plan III
  5. Geithner Plan IV
  6. Geithner 5: A better solution

Geometry

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

  1. Introduction to angles
  2. Angles (part 2)
  3. Angles (part 3)
  4. Angles formed between transversals and parallel lines
  5. Angles of parallel lines 2
  6. The Angle Game
  7. Similar triangles
  8. Similar triangles (part 2)
  9. Angle Game (part 2)
  10. Acute Right and Obtuse Angles
  11. Area and Perimeter
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