Chabot College
December 1998
Course Outline for Mathematics 32
CALCULUS FOR BUSINESS AND SOCIAL SCIENCES
Catalog Description:
32 - Calculus for Business and Social Sciences
4 units
Functions and their graphs; differential and integral calculus of polynomial, exponential and
logarithmic functions. Applications in business, economics, and the life and social
sciences. Prerequisite: Mathematics 31 (completed with a grade of C or higher). or an
appropriate skill level demonstrated through the Mathematics Assessment process. 4 hours.
Prerequisite Skills:
Upon entry to the class the student should be able to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
graph given algebraic functions and relations;
sketch graphs of conic sections;
solve systems of nonlinear systems of equations in two unknowns using elimination
and substitution;
sketch the graphs of logarithmic and exponential functions;
solve exponential and logarithmic equations;
apply the concepts of logarithmic and exponential functions to other fields;
find specified terms and sums of arithmetic and geometric progressions;
expand a power of a binomial and find a specified term in a binomial expansion.
find compositions of functions
find and sketch inverse functions;
solve absolute value and non-linear inequalities.
Expected Outcomes for Students:
Upon completion of the course, the student should be able to demonstrate an understanding
of:
1.
2.
3.
4.
functional notation and the graphs of functions;
the derivatives of a function and methods of differentiation;
solving maximum-minimum and related rate problems using the derivative;
antidifferentiation, the integral and its applications.
Course Content:
1.
2.
Functions
a.
Functional notation
b.
Polynomial, exponential, logarithmic and other functions
c.
Graphs of functions
Limits and derivatives
a.
Definition of a derivative
b.
Geometric interpretation of a derivative
Chabot College
Course Outline for Mathematics 32, Page 2
December 1998
Course Content (continued)
3.
4.
5.
c.
Rules of differentiation, including the chain rule
d.
Derivatives of the natural log and exponential functions
e.
Higher derivatives
f.
Implicit differentiation
Application of the derivative
a.
Maximum-minimum problems
b.
Curve sketching
c.
Related rates
d.
Marginal analysis
Integration
a.
Antiderivatives
b.
Area under a curve and the definite integral
c.
The Fundamental Theorem of Calculus
d.
Applications
e.
Differential equations
Partial differentiation
a.
Functions of several variables
b.
Maximum-minimum problems
c.
Lagrange multipliers (optional)
d.
Applications
Methods of Presentation:
1.
2.
3.
Lectures
Problem solving
Discussion
Methods of Evaluating Student Progress:
1.
2.
3.
Homework
Quizzes
Final examination
Textbook(s) (Typical):
Applied Mathematics, Farlow & Haggard, McGraw-Hill Publishers
Special Student Materials:
A calculator may be required
989Curriculum/math/32/9810.05
hps