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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:

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    • Watch Welcome Video Introduces you to the resources for this course including MyMathLab using D2L

     

     

    • 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

     

     

 

     

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


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)  
     
       
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
       
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
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

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