KJ Wainwright video clips from lectures on Mathematical Economics and Calculus for Business |
| Topics | Lectures | Examples |
Comments and notes | |
| OPMT 5700 | ||||
| Matrix Algebra | ||||
| Multiplying Matrices | Lecture | Multiply two 3x3 matrices together | ||
| Determinants: 2x2 case | Lecture | |||
| Minors and Cofactors | Lecture | |||
| Determinants: 3x3 case (Laplace Expansion) | Lecture | |||
| Solving 2 equations with Matrix Inversion | Lecture | |||
| Derivative Basics | Lectures | Examples
|
Comments and notes | |
| Notation & Definition | Lecture | |||
| The Constant Rule | Lecture | |||
The Power Function Rule |
Lecture | |||
| The Sum-Difference Rule | Lecture | |||
The Product Rule |
Lecture | |||
| The Quotient Rule | Lecture | |||
| The Chain Rule 1 | Lecture | |||
| The Chain Rule 2 (alternative method) | Lecture | |||
| Applications of derivative rules | Lectures | Examples
|
Comments and notes | |
| Higher Derivatives | Lecture | |||
| Concavity | Lecture | |||
| One Variable Optimization | Lecture | Profit Max withcubic costs; | ||
| Natural Logarithm and and the Number e | Lecture | |||
| Multivariable Calculus | Lectures | Examples
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Comments and notes | |
| Partial Derivatives 1: linear and cobb-douglas | Lecture | |||
| Partial Derivatives 2: 2nd partials and cross partials | Lecture | |||
| Implicit Function Theorem & the MRS, MRTS | Lecture | |||
| Unconstrained Optimization | Lecture | The cubic example is from MyMathLab | ||
| Optimization with Constraints | Lectures | Examples
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Comments and notes | |
| Substitution method of 2 variable maximization | Lecture | Examples from MyMathLab | ||
| MRTS and Cost Min in Production | Lecture | Utility Max by Substitution (the MRS) | Variation of the substitution method | |
| Intro to Lagrange Multiplier Method | Lecture | Examples of Lagrange (utility and Costs) | ||
| Cost Min and Production with Lagrange | Lecture | 3 Variable Lagrange (HW 10 Q5) | Compare this with MRTS method (substitution) | |
| Application: The Gains from Trade (2 Lagrange steps) | Lecture | Expected Utility and Insurance |
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| Inequality Constraints (Kuhn-Tucker) | Lecture | Read Lecture notes from website before attempting these | ||
| Statistics and Econometrics | ||||
| Multiple Regression using Excel | This example is a market demand estimation | |||
| Regression Example MyMathlab Q4 | Formula Page (PDF) to accompany video |