LENGTH OF COURSE : One semester (14 weeks)

 

CLASSROOM HOURS PER WEEK: 4 hours of lectures

 

NUMBER OF UNITS OF CREDIT: 3 credit hours

PREREQUISITE: B.C. High School Math 12 or equivalent with at least B or Math 100 University Precalculus with at least C or permission of the Instructor

 

AUDIENCE: This course is designed for students of Business Management, Commerce, Social Sciences, or Biological Sciences.

 

CALENDAR DESCRIPTION: A first course in Caculus for students in commerce, economics or life sciences. The emphasis is on application and example rather than theory.

 

Functions, composition of functions, linear and quadratic functions, graphing techniques using translations and reflections, exponential functions and logarithmic functions. Special emphasis on applications of these functions with particular reference to cost, revenue, profit, supply and demand and growth/decay models.

 

Limits, one-sided limits, limits at infinity. Continuity. Definition of the derivative, derivatives of polynomial, exponential and logarithmic functions. Derivatives of products, quotients, chain rule. Implicit differentiation. Increasing, decreasing intervals, extrema, concavity of a function. Curve sketching, maximum-minimum problems, examples from business and economics. Related rates. Linear approximation.

 

Introduction to three dimensional coordinates. Functions of several variables. Partial derivatives, maxima and minima, Lagrange multipliers, method of least squares.

 

Indefinite integrals. Definite integrals. Area under a curve. The Fundamental Theorem of Calculus.

 

Raymond A. Barnett, Michael R. Ziegler, Applied Mathematics for Business, Economics, Life Sciences and Social Sciences, Sixth Edition, Prentice Hall, 1997

Sections of the textbook relevant to the above topics:1) Chapters 1,2 2) Chapters 8,9,10 3) Chapter 13: 13-1 to 13-5 4) Chapter 11

 

Kim Peu Chew, B.Sc.(Nanyang), M.A., Ph.D. (British Columbia)

Sam Ekambaram. B.Sc. (Madras) Ph.D.(Simon Fraser)

Peter Hurthig, B.Sc., M.Sc., (British Columbia)

David Medalen, B.A.(St. Olaf), M.Sc., (British Columbia)