## Mathematics 111

### Calculus I For Business and Social Sciences

Length of Course : 14 weeks

Classroom Hours per Week: 4 hours

Number of Credits: 3 Credits

Prerequisite: B.C High School Pre Calculus 12 with a C or Math 100/110 with a C-.

### Course Description

This is a first course in calculus for students in commerce, economics, or the life sciences. The emphasis is on application and example rather than theory.

### Course Outline

Length Description

Week 1

Functions (Linear Functions, Quadratic, Polynomial, Exponential, Logarithmic, and Trigonometric Functions Review)

Week 2

The Derivative (Limits)

Week 3

The Derivative (Continuity, Rates of Change)

Week 4

The Derivative (Definition of the Derivative, Graphical Differentiation)

Week 5

Calculating the Derivative (Techniques for Finding Derivatives, Derivatives of Products and Quotients, The Chain Rule)

Week 6

Calculating the Derivatives (Derivatives of Exponential, Logarithmic, and Trigonometric Functions)

Week 7

Graphs and Derivative (Increasing and Decreasing Functions, Relative Extrema, Higher Derivatives, Concavity, Second Derivative Test)

Week 8

Graphs and Derivative (L’Hopital’s Rule, Curve Sketching)

Week 9

Graphs and Derivative (More on Curve Sketching)

Week 10

Applications of the Derivative (Absolute Extrema, Applications of Extrema)

Week 11

Applications of the Derivative ( Business Applications: Economic Lot Size, Economic Order Quantity, Elasticity of Demand, Implicit Differentiation)

Week 12

Applications of the Derivative (Related Rates, Linear Approximation)

Week 13

Review

Week 14

Final Exam

### Textbook

Calculus with Applications, 11th Edition  By Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey Published by Pearson

### Course Evaluation

10-20% Quizzes and Homework Midterm Exams Final Exam