7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Two years of high school algebra and one year of geometry or Math. A, B, and D or equivalents with grades of "C" or better, or placement by matriculation assessment process

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

9b. Catalog Description:

Extension of elementary function theory including transcendental and periodic functions and their inverses. Development of trigonometric functions from the unit circle and the right triangle. Graphing and analysis of transcendental functions with major emphasis given to the techniques as applied to trigonometric identities and development and application of trigonometric formulae, verifications of identities, solution of trigonometric equations. Extensive applications including indirect distance and angle measurement and sinusoidal modeling, growth and decay models, and vector analysis and extensions such as DeMoivre''s Theorem and rotation of axes. Presentation of analytic geometry in both Cartesian and polar coordinates. (CAN MATH 8)

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

1. use trigonometric identities to simplify expressions, solve
equations, and model physical problems;
2. graph periodic functions using shifting, stretching, reflection,
symmetry and periodicity;
3. indirectly measure distances and angles;
4. verify identities using algebraic manipulation and trigonmetric
substitution; and
5. describe and understand conic sections.
Students will be able to demonstrate the outcomes on exams, on
homework assignments and/or in oral reports/discussion in class.

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

I. Review of Algebra
A) Real Number System
B) Graphing
1) plotting points
2) shifting, mirror image, stretching techniques
3) lines
C) Functions
1) notation and evaluation
2) inverse functions
3) composition of functions
II. Trigonometry
A) Angle Measure: Radian and Degree
B) Trigonometric Functions
1) with circles
2) with right tiangles
3) graphs of trigonometric functions
C) Inverse Trigonometric Functions
D) Application Problems
III. Identities
A) Verifying Trigonometric Identities
B) Trigonometric Formulae
1) fundamental: sum, difference, double angle, half
angle
2) advanced formulae (as time permits)
IV. Additional Topics
A) Law of Sines and Cosines
B) Vectors
C) Cross Product
V. Complex Numbers
A) Trigonometric Form of a Complex Number
1) DeMoivre''s Theorem
VI. Topics in Analytic Geometry
A) Conic Sections: Circles, Parabolas, Ellipses and
Hyperbolas
B) Parametric Curves
C) Polar Coordinates
1) introduction: conversion to rectangular and vice versa
2) graphs of polar equations
3) polar form of conics

12. Typical Assignments: (Credit courses require two hours of independent work outside of class per unit of credit for each lecture hour. List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G