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

Completion of Math. A, B, and D 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:

Covers the fundamentals of trigonometry. Topics include review of algebraic functions, definitions of trigonometric and circular functions, graphs, identities and applications. Other material includes solving trigonometric equations, solving triangles using the Laws of Sines and Cosines, vectors, polar coordinates and graphs, polar representations of complex numbers and conic sections. (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.)

Through homework assignments, quizzes, exams, projects and classroom discussions, the student will:
1. analyze basic algebraic functions by graphing, evaluating, composing and finding inverses;
2. evaluate the six trigonometric functions of special angles and their inverses;
3. graph basic trigonometric functions and their transformations and have the ability to identify extreme values, zeros, period, asymptotes and transformations;
4. verify trigonometric identities using valid substitutions and algebraic manipulations;
5. generate solutions to trigonometric equations including the use of trigonometric identities;
6. solve right and oblique triangles and related applications;
7. use polar coordinate system to graph polar equations and evaluate roots and powers of complex numbers;
8. perform basic operations on vectors including the dot product and solve simple applied problems using vectors;
9. analyze and graph conic sections in rectangular and polar form; and
10. sketch parametric curves and convert parametric equations into rectangular form.

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.Graphing
1.Lines
2.Transformations of Basic Algebraic Curves
B.Functions
1.Notation and Evaluation
2.Inverse Functions
3.Composition of Functions
II.Basic Trigonometric Functions
A.Right Triangles
B.Unit Circle
C.Graphing Trigonometric Functions
D.Trigonometric Identities
1.Verify Identities
2.Reciprocal, Ratio, Pythagorean, Sum, Difference, Double Angle, Half Angle
E.Application Problems
III.Analytic Trigonometry
A.Inverse Trigonometric Functions
B.Solving Trigonometric Equations
1.Use Radian and Degree Measurement
2.Solve with and without a Calculator
3.Use Identities to Solve
C.Oblique Triangles
1.Solve Using Law of Sines
2.Solve Using Law of Cosines
IV.Additional Topics
A.Polar Coordinates
B.Graphs of Polar Equations
C.Complex Numbers
1.Polar Form of Complex Numbers
2.DeMoivre’s Theorem
D.Vectors
1.Combine Vectors Geometrically and Algebraically
2.Dot Product
3.Application Problems
V.Analytic Geometry
A.Conic Sections
1.Rectangular Form
2.Polar Form
B.Parametric Curves

12. Typical Assignments: (List types of assignments, including library assignments.)

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

1. Read selected topics throughout the course from the textbook, such as how to model periodic behavior like simple harmonic motion using trigonometric functions.
2. Read supplementary handouts on topics such as the techniques of proving trigonometric identities.

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

1. Complete homework problems from the textbook on topics throughout the course. Such problems may involve computation, sketching graphs and diagrams, solving equations, applying mathematical concepts, or explaining mathematical ideas.
2. Solve application problems in class. For example, use vectors to model velocity and force.

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

SECTION D

SECTION E

SECTION F

SECTION G