Introduction to trigonometric functions as they relate to the unit circle and right triangle. Graphs of the functions, applications, problem solving, identities, inverse functions, complex numbers, vectors and analytic geometry including polar coordinates and parametric equations. The basic concepts of sequences and series will be covered.
Instructor's Syllabus
Course Learning Outcomes

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will be able to apply mathematical concepts to real world situations.

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Students will be able to apply mathematical concepts to real world situations.

Students will be able to effectively communicate mathematical concepts verbally and symbolically.
Core Topics
 Using the unit circle and right triangle to define the trigonometric functions
 Manipulating and evaluating trigonometric expressions and functions
 Solving trigonometric and inverse trigonometric equations
 Proving trigonometric identities
 Expressing complex numbers in trigonometric form
 Manipulating vector expressions and using vectors in appropriate applications
 Performing arithmetic operations on complex numbers in trigonometric form
 Working with parametric equations
 Working with the polar coordinate system
 Modeling real world problems with trigonometry
 Reviewing conic sections in rectangular form
 Applying basic concepts of sequences and series
 Optional: Dot products and cross products