Calculus for Business

OPMT 5701

ASSIGNMENTS FOR SELF STUDY

Homework 1  (Algebra Review)

Homework 2   (Lines and Quadratics)

Homework 3   (first 4 derivative rules)

Homework 4   (chain rule)

Homework 5   (More Chain rule with Notes)

Homework 6   (One variable optimization)

Homework 6b (natural log and e)

Homework 7   (Partial Derivatives)

Homework 8   (differentials & Implicit Diff)

Homework 9   (multivariable optimization)

Homework 10  (Constrained optimization: the Lagrange Method)

Homework 10b (applications of Lagrange)

Homwork 11    Inequaility Constraints (Kuhn-Tucker) 

Homework 12  (Matrix Algebra)

Homework 13  (Inverses and Cramer's Rule)

ADDITIONAL STUDY QUESTIONS

• Selected Answers to Chapter Questions (CH 4, 5, 7 only)

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

Answer Keys

Homework 1

Homework 2

Homework 3

Homework 4 Updated

Homework 5

Homework 6 Updated

Homework 6b

Homework 7

Homework 8

Homework 9

Homework 10

Homework 10b

Homework 11

Homework 12

Homework 13