ST.
COURSE OF STUDY
MTH: 210
DEPARTMENT: Mathematics LAST UPDATE: Spring
2008
COURSE TITLE: Calculus I CREDIT HOURS: 5
LECTURE HOURS/WEEK: 5 LAB HOURS PER WEEK: 0
During the first week of the semester, it is the
responsibility of each instructor to furnish, in writing, the course objectives
and a course syllabus. The objectives
are stated below. The syllabus should
include instructor information, course information, expected outcomes, course
requirements, method of evaluation and an explanation of grading policies,
policies on make up work, ground rules for class participation, a tentative
class schedule, withdrawal dates, expected classroom behavior, information on
the math learning center, consultation (office) hours, and an Americans with
Disabilities Act (ADA) accommodations statement.
COURSE DESCRIPTION:
Topics
included are limits and the continuity of functions of a single variable,
derivatives and antiderivatives of algebraic functions and trigonometric
functions, and applications.
COURSE PREREQUISITE:
Math
185 or Math160 and Math170 with a grade of C or better or satisfactory
score on placement test.
REQUIRED TEXT and CALCULATOR:
Calculus. James Stewart 6th edition, Thompson/Brooks/Cole
Publishing, 2008.
The use of a TI 83/84 is required of every student in this course.
COURSE OBJECTIVES:
The
student will…
1) learn
the concept of a limit, the continuity of a function, and the role each plays
in the study and application of mathematics.
2) be
able to differentiate algebraic and trigonometric functions, and use the derivatives
in selected applications including related rates, the graph of a function, and
optimization problems.
3) learn
and employ concepts regarding the anti-differentiation of a function and its
relationship to the definite integral, and to use integration techniques in
selected applications including the area between two curves, volumes of solids
of revolution, work and others.
ADDITIONAL COMMENTS:
1) The
related rate applications (3.9), optimization applications (4.7) and the
applications of the definite integral (6.2 and 6.3) should be given
considerable time, effort, and attention.
2) Instructors
are strongly encouraged to implement the use of graphing calculators and
computer generated illustrations in a way that will help students visualize and
conceptualize important concepts.
3) The
sections marked “optional” are taught at the instructor’s discretion, and may
be used for Extra Credit or as projects for students taking the course
for Honors Credit.
SUPPLEMENTARY MATERIALS:
1) Instructor’s Guide
2) Printed Test Items
3) Complete Solutions Manual
4) Transparencies
5)Journey Through Calculus (software from the publisher)
COURSE OUTLINE:
Chapter Sections
Covered Suggested
number of 50 min periods
Chapter 1 Functions and
Models 5
1.1
through 1.4
Chapter 2 Limits and Rates
of Change 7
2.1
through 2.5
(2.4
is optional (e,d defintion))
Chapter 3 Derivatives 13
3.1
through 3.9
(3.9
is optional (linear approximation and differentials)
Chapter 4 Applications of Differentiation 8
4.1
through 4.9
(4.6
(Graphing calculator usage and 4.8 (
optional. Graphing
calculator usage should be incorporated along the way.)
Chapter 5 Integrals
5.1
through 5.5 10
Chapter 6 Applications of
Integration 9
6.1
through 6.5
Test and Review 12
TOTAL:
64