OPMT 7701 Internet  
Calculus for Business  
[ HOME ] Kevin Wainwright, BCIT BBA  
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 
that walks you through the steps to install the Lockdown App in MyMathLab 

Lecture notes for Calculus course (complete)  
7.1  Matrix Algebra  Multiplying Matrices 

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  
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 SumDifference 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 


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 
2 mkt Monopoly with NO Price discrimination (from MyMathLab) 


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  
5.1  Partial Derivatives  Partial Derivatives 1: linear and cobbdouglas 
Application: Marginal Products of K and L from the Production Function (CobbDouglas) 
5.1  Partial Derivative and Implicit Function Theorem  Partial Derivatives 2: 2nd partials and cross partials 
Lecture 14 
5.2.2, 5.2.3  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  
Profit Max with K and L;  
2 variable Cubic function  
5.5  Constrained Optimization  Substitution method of 2 variable maximization 


Examples from MyMathLab  
5.6  Examples and Applications of Lagrange 
MRTS and Cost Min in Production 


Utility Max by Substitution (the MRS)  
5.6  Notes on Utility Maximization 
Intro to Lagrange Multiplier Method 

Cost Min and Production with Lagrange 
3 Variable Lagrange (HW 10 Q5) 

The Gains from Trade (2 Lagrange steps) 
Lecture 21  

Expected Utility and Insurance  
notes  Lagrange with multiple constraints (KuhnTucker 
Inequality Constraints (KuhnTucker) 


PPF and Enviro Constraint  
Peakload_Pricing  
Matrix Algebra 


Practise Problems and Answer Key 

Lecture 24  

Lecture 25  

Lecture 26  

Lecture 27  