El Camino College - Division of
Mathematical Sciences
Math
170
Trigonometry
3
units; 3 hours lecture
Grading
Method: Letter
Associate Degree Credit ---
Transfers to CSU --- Does Not Transfers to
UC
Prerequisite: Mathematics 60 with a
minimum grade of C and Mathematics
70 with a minimum grade of C, or qualification
by testing (El Camino College Mathematics Placement Test) and
assessment.
Catalog Description:
This course
includes a study of trigonometric functions, their inverses,
trigonometric identities, equations, complex numbers, graphs of
trigonometric functions, and applications.
Note :Mathematics 170 was formerly numbered Mathematics 2A.
Note: One year of high school geometry is equivalent to Mathematics 60.
Course
Objectives and Methods
of Evaluation:
- Course objectives (list
the major
objectives stated as student outcomes in behaviorally measurable
terms.)
- Solve problems
using angles and
triangles.
- Define trigonometric
functions using
the unit circle and right triangles.
- Find values of
trigonometric functions
using reference angles.
- Graph trigonometric
functions and
their inverses.
- Solve problems using
sum, difference,
multiple-angle, and product-sum formulas.
- Solve problems using
the Laws of Sines
and Cosines.
- Perform operations on
complex numbers,
including finding powers and roots.
- Perform operations of
addition,
subtraction, and scalar multiplication on vectors.
- Solve problems using
vectors.
- Prove trigonometric
identities and
solve trigonometric equations.
- Prove trigonometric
identities and
solve trigonometric equations.
- solve application
problems.
- Solve problems using
technology
(calculator and/or computer software).
- Methods of Evaluation -
Associate
Degree Credit Course
- Substantial writing
assignments are
inappropriate for this degree applicable course because:
- The course primarily
involves skill
demonstrations or problem solving.
- Computational or
non-computational
problem-solving demonstrations, including:
- Exam
- Quizzes
- Homework problems
Return
to the
top of the page.
Outline of Subject
Matter
|
Approximate
Time
|
Major
Topic
|
|
18
hours
|
I. Trigonometry
- Radian and Degree
Measure
- Trigonometric functions
and unit circle
- Trigonometric functions
of an acute
angle
- Reference angles
- Graphs of trigonometric
functions
- Inverse trigonometric
functions and
their graphs
- Applications
|
|
12
hours
|
II. Analytic
Trigonometry
- Trigonometric identities
- Trigonometric equations
- Sum , difference,
multiple angle and
product-sum formulas
|
|
9
hours
|
III. Applications
- Laws of Sines and
Cosines
- Vectors and their
applications
|
|
6
hours
|
IV. Complex
Numbers
- Arithmetic
- Complex solutions of
polynomial
equations
- Trigonometric form
- De Moivre's Theorem
and nth
roots
|
|
9
hours
|
Examinations
|
|
Total:
|
54
Hours
|
Return
to the
top of the page.
Planned Instructional Activities:
Lecture,
discussion,
individual and group work
Entrance
Skills and Knowledge:
List the required skills
and/or knowledge without which a student would be highly unlikely to receive a grade of A, B,
C, or Credit (or for Health and Safety, would endanger self or others) in the
Target Course.
- Solve application problems at the
Intermediate Algebra
level.
- Solve linear and quadratic equations at the
Intermediate
Algebra level.
- Graph basic functions: linear, quadratic
exponential and
logarithmic at the Intermediate Algebra level.
- Recognize geometric relationships.
- Solve problems involving right triangles.
Source of
information: Course Outline of Record dated January, 2001
Last Updated On: 4/20/06