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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

Quizzes and Homework 10-20%
Midterm Exams 30-40%
Final Exam 50%

Transferability

Please refer to www.bctransferguide.ca


Instructors

Arman Ahmadieh B.Sc., M.Sc. (Sharif University of Technology)
Hayri Ardal, B.Sc.(Bogazici), Ph.D.(Simon Fraser)
Kim Peu Chew, B.Sc. (Nanjing), M.A., Ph.D. (British Columbia)
Ana Culibrk, B.Sc.,M.Sc. (Belgrade),M.Sc.(British Columbia)
Rika Dong, B.Sc. (Simon Fraser), M.Sc. (Regina)
Sam Ekambaram, B.Sc., M.Sc. (Madras), M.Sc., Ph.D. (Simon Fraser)
Himadri Ganguli, B.Sc., M.Sc. (Chennai), Ph.D. (Simon Fraser)
Peter Hurthig, B.Sc., M.Sc. (British Columbia)