MATH 134 : Managerial Calculus

Credits: 3

Course Description: A one-semester course in calculus, with particular emphasis on applications to economics and management. Topics covered include limits, continuity, derivatives, and integrals.

Pre-Requisites: Math Placement Test or successful completion of MATH 129 or MATH 130.

Comments: Students may not receive graduation credit for both MATH 134 and MATH 135. Students may take MATH 140 after MATH 134, but only with the explicit permission of the department and then only for two credits.


Text:
Tan, Soo Tang. "Applied Mathematics for the Managerial, Life, and Social Sciences"
Any of these editions: 4th, 5th, 6th, or 7th.

4th edition: ISBN 0-495-01581-4
5th edition: ISBN 10: 0495559997 / ISBN 13: 9780495559993
6th edition: ISBN 13: 978-1-133-10894-8 / ISBN 10: 1-133-10894-6


Please note that the various editions have most problems the same, but a few may be slightly different.  Each book has answers to the odd-numbered problems in the back.
It is YOUR responsibility to check your odd-numbered problem answers against the answers in the textbook.

Topics:

Chapter 9:
    9.1 Limits.
    9.2 Continuity.
    9.3 The derivative.
    9.4 Basic derivative rules.
    9.5 Product and quotient rules.
    9.6 Chain rule.
    9.7 Differentiation of exponential and logarithmic functions.
    9.8 Marginal function. 
Chapter 10:
    10.1 Application of the first derivative.
    10.2 Application of the second derivative.
    10.3 Curve sketching.
    10.4 Optimization I.
    10.5 Optimization II. 
Chapter 11:
    11.1 Antiderivatives and the rules of integration.
    11.2 Integration by Substitution.
    11.3 Area and the definite integral.
    11.4 The Fundamental Theorem of Calculus.
    11.5 Evaluating definite integrals.
    11.6 Area between two curves.
    11.7 Application of definite integral to business and economics. 
Chapter 12:
    12.1 Functions of several variables.
    12.2 Partial derivatives.
    12.3 Maxima and minima of functions of several variables.