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Calculus for Business  
  [ HOME ] Kevin Wainwright, BCIT BBA

 

With MyMathLAB & based on Jacques 7th and 8th ed Text Book

 

FIRST STEPS TO SET UP THE COURSE ONLINE:

.

    • Welcome Video How to Register and Log On to MyMathLab using D2L

     

Direct Link to MyMathLab Site CLICK HERE

     

    All instructions are also found in D2L. Go to https://learn.bcit.ca Note: MyMathLab access code and instructions found in D2L


 

   
 

COURSE OUTLINE (previous terms)

   

 

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 videos on fractions, linear equations, quadratics, exponents, natural logarithms and e    
         
ii
 Matrix Algebra 

Multiplying Matrices

Lecture 23

multiply two 3-by-3 matices together

7.1, 7.2, 7.3
  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  
         
A
Derivatives: First 5 Rules  

Notation & Definition

Lecture1
4.1
 

The Constant Rule

Lecture 2
4.2
 

The Power Function Rule

Lecture 3
4.2
 

The Sum-Difference Rule

Lecture 4

4.2

 

The Product Rule

Lecture 5
4.4
 

The Quotient Rule

Lecture 6
4.4
 
 
 
B
The Chain Rule 

The Chain Rule 1

Lecture  7

4.4
 
 
Worksheet: Q4;  
 
 
Worksheet: Q6;  
 

The Chain Rule 2 (alternative method)

Lecture 8
4.4
    Product/Chain with Factoring Example 1  
 
 
 
C
One Variable Optimization  

Higher Derivatives

Lecture 9
4.6
 

Concavity

Lecture 10
4.6
 

One Variable Optimization

Lecture 11

Profit Max withcubic costs; 

2 mkt Monopoly with NO Price discrimination

(from MyMathLab)

Cobb-Douglas and SR Cost curves

4.7
 
 
 
D
Natural Log, e, differentials, and Implicit differentiation notes  

Natural Logarithm and the Number e

Lecture 12
2.4 and 4.8
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

         
E
 Partial Derivatives

Partial Derivatives 1: linear and cobb-douglas

Lecture 13
5.1
Partial Derivative and Implicit Function Theorem

Partial Derivatives 2: 2nd partials and cross partials

Lecture 14
5.1

Implicit Function Theorem & the MRS, MRTS

Lecture 15
5.2.2, 5.2.3
 
 
 
F
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

 
5.4
 
 
Profit Max with K and L;  
 
 
2 variable Cubic function
G
Constrained Optimization

Substitution method of 2 variable maximization

Lecture 17

5.5
 
 
Examples from MyMathLab  
Examples and Applications of Lagrange

MRTS and Cost Min in Production

Lecture 18

5.6
 
 
Utility Max by Substitution (the MRS)
Notes on Utility Maximization 

Intro to Lagrange Multiplier Method

Lecture 19

5.6
   

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
H
Lagrange with multiple constraints (Kuhn-Tucker

Inequality Constraints (Kuhn-Tucker)

Lecture 22

Notes only
 
 
PPF and Enviro Constraint  
 
 
Peakload_Pricing
         
         
         
         
         
         
I
 Matrix Algebra 

Multiplying Matrices

Lecture 23

multiply two 3-by-3 matices together

7.1, 7.2, 7.3
  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