Kevin Wainwright Math Econ online Video Lecture page

OPMT 7701 - Calculus for Business

Fundamental Methods of Mathematical Economics

[ HOME ] Kevin Wainwright, BCIT BBA

Based on Fundamental Methods of Mathematical Economics (4th Edition)

by Alpha Chiang and Kevin Wainwright

Website content and lecture materials by Kevin Wainwright

	TOPICS & LECTURE NOTES (PDF)	Video Lectures		Associated Text book Readings
		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 Calculus course (complete)
i	Pre-Calculus topics	videos on fractions, linear equations, quadratics, exponents, natural logarithms and e		Chapters 1 to 3

A	Matrix Algebra	Multiplying Matrices	Lecture 23 multiply two 3-by-3 matices together	Chapters 4, 5
	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

B	Derivatives: First 5 Rules	Notation & Definition	Lecture1	Chapters 6 and 7
		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

C	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

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

E	Natural Log, e, differentials, and Implicit differentiation notes	Natural Logarithm and the Number e	Lecture 12	Chapter 10
	More on differentials		MathLab - combining logarithms (problem 2.4.4) Demo for those getting error message
			Product and Quotient Rules with e in function Example: solving TR = Ae^-at

F	Partial Derivatives	Partial Derivatives 1: linear and cobb-douglas	Lecture 13	Chapter 8
	Partial Derivative and Implicit Function Theorem	Partial Derivatives 2: 2nd partials and cross partials	Lecture 14	Application: Marginal Products of K and L from the Production Function (Cobb-Douglas)
	Cross Partials (Fxy, Fyx) and Young's Theorem	Implicit Function Theorem & the MRS, MRTS	Lecture 15

G	Two Variable Optimization	Unconstrained Optimization	Lecture 16	Chapter 11
	Two Variable Optimization with Economic Applications		2 Market monopoly Profit Max from MathLab: Choosing P and A	5.4
			Profit Max with K and L;
			2 variable Cubic function
H	Constrained Optimization	Substitution method of 2 variable maximization	Lecture 17	Chapter 12
			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
I	Lagrange with multiple constraints (Kuhn-Tucker	Inequality Constraints (Kuhn-Tucker)	Lecture 22	Chapter 13
			PPF and Enviro Constraint
			Peakload_Pricing