Mathematics 112

Course Outline

LENGTH OF COURSE: One Semester (14 weeks)

CLASSROOM HOURS PER WEEK: 4 hours of lectures

NUMBER OF UNITS OF CREDIT: 3 credit hours
Simon Fraser University - 3 credit hours
University of British Columbia - 3 credits
University of Victoria - 1.5 units
TRANSFERABILITY
Simon Fraser University - Mathematics 158
University of British Columbia - Mathematics 141
University of Victoria - 100 level credit
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.

CALENDAR DESCRIPTION
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.

COURSE OUTLINE
1) Linear Algebra (2 weeks)
Systems of linear equations, operations with matrices, Leontief input-output analysis.

2) Linear Programming (2 weeks)
Linear programming in two dimensions, the Simplex method, duality and minimization.

3) Integration (4.5 weeks)
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.

4) Probability and Calculus (3.5 weeks)
Permutations, combinations, sample spaces, conditional probabilities, Bayes' Theorem, Markov chains, continuous random variables, Binomial distributions, Poisson distributions and Normal distributions.

5) Differential Equations (1 week)
First order linear differential equations and homogeneous linear equations with constant coefficients.

TEXT BOOK
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

COURSE EVALUATION
Quizzes and/or Assignments 10%
Three One-Hour Tests 40%
Comprehensive Final Exam 50%
INSTRUCTORS
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)