SU DEPARTMENT OF
MATHEMATICS AND COMPUTER SCIENCE
SYLLABUS (Tentative)
MATH 160 Introduction to Applied Calculus
Objective: To develop students' problem solving skills using the techniques of calculus through numeric, analytic, graphical, and symbolic approaches.
Intended for: Students other than mathematics, physics, and chemistry majors who are interested in applications of math to their majors.
Prerequisite: High school Algebra II and plane geometry.
Resources: "Calculus Applications and Technology for Business,
Social, and Life Sciences," by Edmond Tomastik; Saunders College
Publishing, 1999.
Graphing calculator or mathematical software (accessible via SSU computer
network.)
Topics / Hours
Functions and Mathematical Models / 8
Definition of Function and Model; linear and quadratic functions
and applications; exponential and logarithmic
functions and applications including growth, decay, and compound interest;
power functions; polynomials;
combinations of functions; logistic functions.
Differentiation / 7
Rate of change and slope, derivatives, interpretations of the derivative,
second derivative, marginal cost and
revenue.
Rules for the Derivative / 7
Derivative formulas for: power functions and polynomials, exponential and
logarithmic functions, the chain
rule, product and quotient rules and their applications.
Applications of the Derivative / 7
The use of the first and second derivative in curve sketching and in the
qualitative study of curves; optimization
and its applications.
Anti-Derivatives & Definite Integrals / 5
Measuring distance traveled, definite integrals, area, average value,
interpretations of the definite integral,
finding anti-derivatives, substitution method, evaluating definite integrals
using the Fundamental Theorem
of Calculus.
Applications of the Definite Integral / 4
Applications to life sciences, economics, and distribution functions.
Tests, review or optional topics / 4
EVALUATION
|
Homework and quizzes |
25% - 35% |
|
Tests |
50% |
|
Final |
15% - 25% |
Free tutoring is available for this course in the Spring and Fall semesters.
NOTE: ONCE A STUDENT HAS RECEIVED CREDIT, INCLUDING TRANSFER CREDIT, FOR A COURSE, CREDIT MAY NOT BE RECEIVED FOR ANY COURSE WITH MATERIAL THAT IS EQUIVALENT TO IT OR IS A PREREQUISITE FOR IT.
M-M/lsa
8/2000