LENGTH OF COURSE: One Semester (14 weeks)

 

CLASSROOM HOURS PER WEEK: 4 hours of lectures

 

NUMBER OF UNITS OF CREDIT: 3 credit hours

PREREQUISITES: Columbia College Mathematics 111 or the equivalent

 

AUDIENCE: This course is designed for students who plan to major in Business, Management, or the Social Sciences.

 

This course begins with an introduction to systems of linear equations, matrices, and applications of linear algebra. The course continues with a study of integration begun in Math 111, including techniques of integration, numerical methods, and an introduction to the theory of probability. The course ends with an introduction to differential equations.

 

Systems of linear equations, operations with matrices, Leontief input-output analysis.

 

Linear programming in two dimensions, the Simplex method, duality and minimization.

 

Indefinite integrals, definite integrals, the Fundamental Theorem of Calculus, the area between two curves. Integration by substitution, integration by parts, improper integrals, and numerical methods.

 

Permutations, combinations, sample spaces, conditional probabilities, Bayes' Theorem, Markov chains, continuous random variables, Binomial distributions, Poisson distributions and Normal distributions.

 

First order linear differential equations and homogeneous linear equations with constant coefficients.

 

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) Chapter 4 2) Chapter 5 3) Chapters 11, 12 4) Chapters 6, 7, 14, 5) Chapter 15

 

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)