OPMT 5701

Calculus for Business Students

Kevin Wainwright
wainwrig@sfu.ca

Sunnie Yang

syang93@my.bcit.ca

Leslie Fairbairn
leslie_fairbairn@bcit.ca

Day Course Outline

Evening Course Outline

Maple Demo Web Page

This will get students started

It is in Maple 14 Classic Worksheet

1.5 : pg 94-95 #2, #4, #6, #7

2.1* : pg 144 #3, #4

2.2 : pg 156 #6, #7;

2.2* : pg #1

2.3 : pg 177 #2, #4

2.4 : pg 191 #2, #4

4.2 pg 282-283 #1, #2, #3, #8

4.2*: pg 284 #1, #2

4.4:  pg 307 #1, #2, #3, #6

4.4*: pg 308 #1, #2, #3, #6

4.3: pg 297 #3, #4, #5

4.3* pg 298 #1, #3, #4, #5, #6

4.2: pg 282-283 #4, #5, #6

4.2*: pg 284 #3, #4, #5, #6

Lecture Notes

Notes are by topic, and may not necessarily match the lecture schedule!!

1. Derivatives: First 5 Rules   
2. The Chain Rule  
3. One Variable Optimization
4. Notes on e and logarithm    
5. Notes on IMPLICIT Differentiation    
6. More on differentials  
7. Combined  Logs, differentials, and Implicit differentiation notes  
8.  Partial Derivatives (part 1- new)
9. Partial Derivative and Implicit Function Theorem 
10. Two Variable Optimization (New)
11. Two Variable Optimization with Economic Applications    
12. Constrained Optimization (the Lagrange)   
13. Lagrange with multiple constraints (Kuhn-Tucker)  
14. Notes on Utility Maximization 
15.  Matrix Algebra 

Rules of Differentiation (Chapter 7 from Fundamental Methods, by Chiang and Wainwright)

• This chapter covers all derivative rules for single variable and multi-variable (partial derivatives) calculus

Optimization with One Variable (Chapter 9 from Fundamental Methods, by Chiang and Wainwright)

• This chapter covers finding Max and Min solutions for one variable functions, second and higher derivative tests, and curve sketching (Ignore Taylor Series)

Scanned Lecture Notes

1. Notes on Expontentials, Logarithms and Optimal Timing Problems
2. Notes on unconstrained optimization, Hessians and second order conditions
3. Notes on applications of unconst. Optimization: Price Discrimination, concavity, and duopoly models

Lec Note Package 08

Term Assignments

Homework Sheets by Topic

With Answers

NOTE: Maple files for these problems are in sharout folder:

/5701/Kevin/2012maple/

Dayschool BBA Only

Group Assigment 1:

Profit Max and curve sketching

Assignment 2:

Working with Constraints

(Answer Key - just graphs)

Term Project

Applications of Lagrange

1. Algebra Review
2. Derivatives up to product rule
3. Chain Rule Part 1
4. Chain Rule Part 2 (with Notes) and Key
5. One Variable Optimization
6. Economic and Business Applications of Optimization
7. Derivatives of Natural Log and e functions

Maple Lessons

Maple Demo lesson 1 (2012)

Class notes for Maple labs click here

Using with(Optimization) Package (for HW 11)
Maple Files for labs

Be sure to "Right Click" on the following links and choose "Save file..." option

1. Numbers and Functions
2. Derivatives
3. Matrix Algebra

Adanced Maple file (Zipped)

Additional Study Questions

Pre-Calculus and Matrix Study Questions:

Using Log functions on Data Excel

Review Class Assignment

(Pre-Calculus Review)

Answers to Review Class Assig 

additional Pre-Calculus Problem set with KEY

In class Assignment (Matrix Inversion- additional problems)

Answers for Matrix Inversion. Question 5 of this handout is quite challenging.

For a detailed answer, click here

Calculus Study Questions:

1. Derivatives: rules 1 to 3 (constant, power, sum/difference) study questions
2. Derivatives: rules 4a and 4b (product/quotient) study questions
3. Derivatives: rule 5 (chain rule) study questions
4. More Chain rule along with Natural Log (lnx) and exponential (e) Study Questions
5. Partials and Implicit Partial derivatives Study Questions
6. 2 Variable Optimization Study Questions
7. Lagrange Method Study Questions

Challange Exam: for a sample exam click here

Selected answers

Product/quotient rules

http://www.mymathlab.com/global

• This course uses MyMathLab as part of the the Labs and assignments.

• It is REQUIRED for all BBA students in OPMT 5701

• Once registered, your account stays active for 1 year. This allows you to go back and review materials used in classes next semester

Click on Image to See Enlarged View

All Students must have a MyMathLab personal login code: one comes with the text book or can be purchased online from publisher

Once you have your personal code, you will need to follow a TWO-STEP process:

[1] Log on and create your personal id.

THEN...

[2] Log onto and register IN your OPMT 5701 Section (BBAD 5A, B, C, D or PTS). There is a CODE for each section (supplied by teacher)

A few tips to get the maximum benefits of the software system

a) set up the study session and review the tools and options

b) Spell your name correctly... First and Last..

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