KJ Wainwright video clips

from lectures on

Mathematical Economics and Calculus for Business

Lecture notes for Calculus course (complete) in PDF
       
Topics   Lectures
Examples
 Comments and notes
OPMT 5700        
Matrix Algebra  

OPMT 5701 Home

ECON 331 Home

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 

Worksheet: (Q4);

Worksheet: Q6;

 
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
 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

(a) 2 Markets

(b) Profit Max with K and L;

(c) 2 variable Cubic function

The cubic example is from MyMathLab
         
Optimization with Constraints   Lectures
Examples
 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

PPF and Enviro Constraint

Peakload_Pricing

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