MTH 164
Syllabus
Division: Arts
and Sciences Date: February 2014
Curricula
in Which Course is Taught:
Course
Number and Title: MTH
164, Precalculus II
Credit
Hours: 3 Hours/Wk
Lecture: Hours/Wk Lab:
Lec/Lab
Comb:
I.
Catalog
Description: Presents trigonometry, analytic
geometry, and sequences and series. Prerequisite: MTH 163 or equivalent.
(Credit will not be awarded for both MTH 164 and MTH 168.) Lecture 3 hours per
week.
II.
Relationship
of the course to curricula objectives in which it is taught:
This
course continues the study of precalculus mathematics begun in MTH 163 which is
its prerequisite. This course is a
college level transfer course which meets math elective requirements as well as
liberal arts elective requirements.
III.
Required
background:
MTH
163 or equivalent
IV.
Course
Content:
1. Radian, degree
2. Unit Circle
3. Right Triangle and Angle Functions
4. Trig Graphic including Sine and cosine
5. Inverse Trig Functions
6. Applications
7. Fundamental Identities
8. Trig Identities and Equations
9. Sum/Diff Formulas
10. Laws of sines and cosines
11. Vectors in a plane
12. Vectors and dot products
13. DeMoivre’s Theorem
14. Sequence; summation
15. Arithmetic sequence
16. Geometric sequence
17. Mathematical induction
18. Binomial Theorem
19. Counting Principles
20. Probability
21. Lines, Conics, Ellipses, Hyperbolas,
Rotations of conics
22. Parametric Equations
23. Polar Coordinates
24. Graphs of Polar Equations
25. Polar Equations of Conics
V. Learner Outcomes The
student will: |
VI.
Evaluation |
A. |
Some
combination of quizzes, tests, homework and examinations will be used to
assess student performance. Students will use calculators only after
demonstrating mastery of essential deductive skills without them. |
VII. This
course supports the following objectives:
DCC Educational
Objectives:
Critical
Thinking
Quantitative
Reasoning