COURSE
SYLLABUS
College of
Arts
and Sciences
Department
of
Mathematics
Date:
Fall/Winter/Spring 2007-08
Course
MATH – 163 Name:
Calculus 1
Credit
hours: 4 Lecture hours/week: 4 Lab hours/week: 0
Instructor:
Staff
Usual
student level: Freshmen
Course
required of students in: Math, Computer
Science, Engineering, Physics,
Chemistry
Course
frequency per year: Fall, Winter, Spring
Average
enrollment per year: 200
This
course has a prerequisite: Math 120 and
Math 122, or equivalent (Precalculus)
This
course is a prerequisite for: Math 164
(Calculus 2)
Catalogue
Description:
Limit of a
function, continuity, the
derivative, extrema, Mean Value Theorem,
curve
plotting, application of the derivative
Course
Objectives:
To give
students the necessary tools,
concepts, and methods to work in engineering, science and mathematics
Textbook: Calculus,
6th ed.,
by J. Stewart
Course
Outline
MATH-163
Calculus 1
4 Credit
Hours
Section
Topic
Days
Functions and Models
(Selected topics)
1.1
Four
ways to represent a function
1
1.2
Mathematical
models + Review of Trigonometry 3
(Appendix D)
Limits and Rates of Change
2.2
The
limit of a function
2
2.3
Calculating
limits using limit laws
2
2.5
Continuity
1
Derivatives
3.1
Derivatives
1
3.2
The
derivative as a function
2
3.3
Differentiation
formulas
2
3.4
Derivatives
of trigonometric functions
2
3.5
Chain
rule, review composition of functions
3
3.6
Implicit
differentiation
2
3.7 and 3.8
Rates of change, related rates
1
3.9
Differentials
(linear approx. is optional) .5
Applications of
Differentiation
4.1
Maximal
and minimal values
2
4.2
The
Mean Value Theorem
2
4.3
How
derivatives affect the shape of a graph
2.5
4.4
Limits
at infinity; horizontal asymptotes
2
4.5
Summary
of curve sketching
1
4.6
Graphing
with calculators (incorporated in previous sections)
4.7
Optimization
problems
3
4.8
This is a total of about 35 hours and about 5 hours are left for testing and reviews.