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
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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
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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 | ||
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 |