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
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Students will be able to effectively communicate mathematical concepts verbally and symbolically.
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
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Students will be able to effectively communicate mathematical concepts verbally and symbolically.
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
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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.
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Students will be able to apply mathematical concepts to real world situations.
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Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.
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Students will be able to apply mathematical concepts to real world situations.
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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