Mathematical Economics Lessons

Mathematics for Economics of Management (Internet Delivery)

Kevin Wainwright, PhD

Final Exam Formula Sheet - This is to view only.DO NOT bring a copy with you to the exam.A printed copy will be supplied when you arrive for the exam

This page contains a set of lecture notes and video lessons covering most topics covered a Mathematical Economics or Calculus for Economics and Business.

Each of the videos labelled "Lecture" are a short focused lecture on a specific topic or tecnique. In addition, there are a series of "example" videos that cover questions that students found challenging.

LECTURE NOTES (PDF)	Video Lectures & Examples
	INSTALLING LOCKDOWN BROWSER APP for EXAMS in MyMathLAB	Demo Video that walks you through the steps to install the Lockdown App in MyMathLab
Lecture notes for Math-Econ course (complete)
	Pre-Calculus Video topics
Matrix Algebra
Matrix Algebra	Multiplying Matrices	Lecture 1
Practise Problems and	2 by 2 Determinant	Lecture 2
	Multiply two 3 by 3 matrices together	Lecture 3
Answer Key	Minors and Cofactors	Lecture 4
	3 by 3 determinant (Laplace Expansion)	Lecture 5
	Solving 2 equations with Matrix Inversion	Lecture 6
Worksheet to accompany Lec 7 (3x3 Matrix inversion)	Find the Inverse of a 3 by 3 Matrix	Lecture 7 print worksheet to follow along
Single Variable Calculus
Derivatives: First 5 Rules	Notation & Definition	Lecture1
	The Constant Rule	Lecture 2
	The Power Function Rule	Lecture 3
	The Sum-Difference Rule	Lecture 4
	The Product Rule	Lecture 5
	The Quotient Rule	Lecture 6
The Chain Rule	The Chain Rule 1	Lecture 7	Worksheet: Q4; Worksheet: Q6;


	The Chain Rule 2 (alternative method)	Lecture 8
	Product/Chain with Factoring	Example 1

One Variable Optimization	Higher Derivatives	Lecture 9
	Concavity	Lecture 10
	One Variable Optimization	Lecture 11 Profit Max with cubic costs;	2 mkt Monopoly with NO Price discrimination Cobb-Douglas and SR Cost curves
		Application: Production and Costs	deriving MC and AC from total cost, and MP and AP from productin function.

Natural Log, e, differentials, and Implicit differentiation notes	Natural Logarithm and the Number e	Lecture 12
More on differentials		Example: solving TR = Ae^-at
		Product and Quotient Rules with e in function	MathLab - combining logarithms (problem 2.4.4) Demo for those getting error message

Multivariable Calculus and Constraint Problems
Partial Derivatives	Partial Derivatives 1: linear and cobb-douglas	Lecture 13	Application: Marginal Products of K and L from the Production Function (Cobb-Douglas)
Partial Derivative and Implicit Function Theorem	Partial Derivatives 2: 2nd partials and cross partials	Lecture 14
Cross Partials (Fxy, Fyx) and Young's Theorem	Implicit Function Theorem & the MRS, MRTS	Lecture 15

Two Variable Optimization	Unconstrained Optimization	Lecture 16
Two Variable Optimization with Economic Applications		2 Market monopoly Profit Max from MathLab: Choosing P and A
		Profit Max with K and L;
		2 variable Cubic function
Constrained Optimization	Substitution method of 2 variable maximization	Lecture 17
		Examples from MyMathLab
Examples and Applications of Lagrange	MRTS and Cost Min in Production	Lecture 18
		Utility Max by Substitution (the MRS)
Notes on Utility Maximization	Intro to Lagrange Multiplier Method	Lecture 19
		Examples of Lagrange (utility and Costs)
	Cost Min and Production with Lagrange	Lecture 20 3 Variable Lagrange
	The Gains from Trade (2 Lagrange steps)	Lecture 21
		Expected Utility and Insurance
Lagrange with multiple constraints (Kuhn-Tucker	Inequality Constraints (Kuhn-Tucker)	Lecture 22
		PPF and Enviro Constraint
		Peakload_Pricing






Matrix Algebra	Multiplying Matrices	Lecture 23 multiply two 3-by-3 matices together
Practise Problems and Answer Key	2 by 2 Determinant	Lecture 24
	Minors and Cofactors	Lecture 25
	3 by 3 determinant (Laplace Expansion)	Lecture 26
	Solving 2 equations with Matrix Inversion	Lecture 27