Calculus/Precalculus
Course Description from Bulletin: Review of algebra
and analytic geometry. Functions,
limits, derivatives. Trigonometry, trigonometric functions and their
derivatives.
Chain rule , implicit and inverse functions, and inverse trigonometric functions.
(4-0-4)
Enrollment: This course does not count for graduation in any engineering,
mathematics,
natural science or computer science degree program
Textbook(s): Cohen, Pre-calculus, 6th ed., Thompson; and Stewart,
Calculus, 6th ed.,
Brooks/Cole.
Other required material: None
Prerequisites: None
Objectives:
1.
Students will be able to use the Cartesian coordinate system and analytic
geometry to investigate functions.
2.
Students will be able to perform algebraic and numeric operations with
functions.
3.
Students will be able to solve linear , quadratic, and rational equations and
inequalities .
4.
Students will be able to use trigonometry and fundamental trigonometric
identities.
5.
Students will be able to compute limits of simple functions .
6.
Students will be able to differentiate polynomial , rational and trigonometric
functions by using the definition and by using formulae .
Lecture schedule: Three 67 minute lectures per week
|
Course Outline: |
Hours |
| 1.Real
Number System , Absolute Value, Polynomials |
4 |
|
2. Properties of Polynomials , Inequalities |
4 |
|
3. Cartesian Coordinate System , Graphs of Equations |
4 |
|
4. Analytic Geometry of Lines , Symmetry, Translations |
4 |
|
5. Functions |
4 |
|
6. Limits |
4 |
|
7. Continuity, Tangents, Rates |
4 |
|
8. Definition of the Derivative, Differentiation
Rules |
4 |
|
9. Rates of Change , Trigonometric Functions |
4 |
|
10. Right Triangle Trigonometry |
4 |
|
11. Trigonometric Functions of Real Numbers |
4 |
|
12. Trigonometric Identities |
4 |
|
13. Derivatives of Trigonometric Functions, Chain
Rule |
4 |
|
14. Rational Exponents , Higher Derivatives |
4 |
|
15.
Review |
|
Assessment:
|
Homework |
5-10% |
|
Quizzes |
10-15% |
|
Tests |
50% |
|
Final Exam |
25-30% |
Syllabus prepared by : Sue Sitton and Patrick McCray
Date: 12/15/05 (Last updated 10/23/07)
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