OPMT 7701 online home page

OPMT 7701 Internet Option

Calculus for Business

Kevin Wainwright, PhD

BCIT School of Business

SFU Department of Economics

OPMT 7701 With MyMathLAB & based on Jacques 7th, 8th or 9th edition Text Book

FIRST STEPS TO SET UP THE COURSE ONLINE:

.

Introduction video You MUST watch this video first. It will show you

where to find all the materials

How to navigate the course portal

How to link to instructor from inside an online questions.

Joining MyMathlab from Pearson.com/mylab Step by Step guide to register for MyMathLab on the Pearson Site (Downloadable PDF File)

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

How to Match MyLab Homework to Readings and Notes

All instructions are also found Learning Hub

Email me at: kwainwright1@my.bcit.ca or kevin@bcitsitecentre.ca (preferred)

Chapter	TOPICS & LECTURE NOTES (PDF)	Video Lectures
		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)
		Pre-Calculus Video topics
	Chapter 7 Matrix Algebra
7.1	Matrix Algebra	Multiplying Matrices	Lecture 23 multiply two 3-by-3 matices together
7.2	Practise Problems and	2 by 2 Determinant	Lecture 24
7.3	Answer Key	Minors and Cofactors	Lecture 25
		3 by 3 determinant (Laplace Expansion)	Lecture 26
		Solving 2 equations with Matrix Inversion	Lecture 27

	Chapter 4 - Single Variable Calculus
4.1	Derivatives: First 5 Rules	Notation & Definition	Lecture1
4.2		The Constant Rule	Lecture 2
4.2		The Power Function Rule	Lecture 3
4.2		The Sum-Difference Rule	Lecture 4
4.4		The Product Rule	Lecture 5
4.4		The Quotient Rule	Lecture 6
4.4	The Chain Rule	The Chain Rule 1	Lecture 7
			Worksheet: Q4;
			Worksheet: Q6;
4.4		The Chain Rule 2 (alternative method)	Lecture 8
		Product/Chain with Factoring	Example 1

4.6	One Variable Optimization	Higher Derivatives	Lecture 9
4.6		Concavity	Lecture 10
4.7		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.

2.4, 4.8	Natural Log, e, differentials, and Implicit differentiation notes	Natural Logarithm and the Number e	Lecture 12
	More on differentials		MathLab - combining logarithms (problem 2.4.4) Demo for those getting error message
			Example: solving TR = Ae^-at
			Product and Quotient Rules with e in function
	Chapter 5 - Multivariable Calculus and Constraint Problems
5.1	Partial Derivatives	Partial Derivatives 1: linear and cobb-douglas	Lecture 13 Application: Marginal Products of K and L from the Production Function (Cobb-Douglas)
5.1	Partial Derivative and Implicit Function Theorem	Partial Derivatives 2: 2nd partials and cross partials	Lecture 14
5.2.2, 5.2.3	Cross Partials (Fxy, Fyx) and Young's Theorem	Implicit Function Theorem & the MRS, MRTS	Lecture 15

5.4	Two Variable Optimization	Unconstrained Optimization	Lecture 16
5.4	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
5.5	Constrained Optimization	Substitution method of 2 variable maximization	Lecture 17
			Examples from MyMathLab
5.6	Examples and Applications of Lagrange	MRTS and Cost Min in Production	Lecture 18
			Utility Max by Substitution (the MRS)
5.6	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 (HW 10 Q5)
		The Gains from Trade (2 Lagrange steps)	Lecture 21
			Expected Utility and Insurance
notes	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