Department of Mathematics

Syllabus

**Math 03.125 - Calculus Techniques and Applications**

**CATALOG DESCRIPTION:**

Math 03.125 Calculus Techniques and Applications
3 s.h.

Prerequisites: Math 01123 or 60 on the CLM exam

Introduces students to the techniques of differential and integral calculus.
Emphasis is placed on practical applications of limits, derivatives and
integrals with business applications highlighted. This course also
provides experience with and information about the significance and specific
uses of the calculus in today's world. A graphics calculator is required.
Students are expected to have completed an equivalent of the course College
Algebra.

**OBJECTIVES:**

This course serves general education, technology, business, and economics
students in achieving the following objectives.

1. To develop the concepts of the limit, derivative and

antiderivative of a function, and also of the definite
integral.

2. To consider applications, and particularly business

applications of the derivative and definite integral.

3. To provide information on the significance of Calculus in

today's world.

**CONTENT:**

1. Functions

1.1 Functional Notation

1.2 Straight Line and Slopes

1.3 Limits

2. Differentiation

2.1 Definition of the Derivative

2.2 Rules for Differentiation

2.3 Special methods of Differentiation

2.4 Derivatives of special functions

2.5 Higher derivatives

3. The interpretation of the derivative as a rate of change,

applications of time rates, related rates
and percentage

changes.

4. Applications Involving Maxima and Minima

5. Integration

5.1 Anti-differentiation

5.2 The Definite Integral

5.3 Area Under the Curve

5.4 Volumes

5.5 Applications Involving Integration

6. Additional Applications to Various Disciplines and Fields
of Study.

**POSSIBLE TEXTS:**

S.J. TAN CALCULUS FOR THE MANAGERIAL, LIFE AND SOCIAL SCIENCES, Cengage, 8/E.

Hughes, Hallett, Gleason, Lock, Flath, Et.al, APPLIED CALCULUS, Wiley,
3rd Edition.