In preparation for calculus this is a comprehensive study of trigonometry, circular functions, right triangle trigonometry, analytical trigonometry. Sequences, series and induction are also covered.

### Prerequisites

MATH& 141 or Concurrent enrollment in MATH& 141.

Quarters Offered

Fall,

Winter,

Spring

Course Outcomes

Upon successful completion of the course, students should be able to demonstrate the following knowledge or skills:

- Apply trigonometric functions to the solution of triangles and application problems
- Manipulate trigonometric functions to prove identities and solve equations
- Employ summations, sequences, and series in mathematical induction

Institutional Outcomes

IO2

**Quantitative Reasoning:**Students will be able to reason mathematically.Course Content Outline

- Trigonometry
- Angles and their measure
- Right triangles and trigonometric functions
- Trigonometric functions of real numbers
- Graphs of sine and cosine
- Graphs of other trigonometric functions
- Additional graphing techniques
- Applications of trigonometry

- Analytic Trigonometry
- Applications of the fundamental identities
- Verifying trigonometric identities
- Solving trigonometric equations
- Sum and difference formulas
- Multiple-angle formulas and product-sum formulas

- Additional applications of trigonometry
- Law of sines and cosines
- Trigonometric form of complex numbers
- DeMoivre’s theorem and nth roots
- Volumes and areas
- Hyperbolic trigonometric functions (optional)

- Sequences and Series
- Sequences and summation notation
- Arithmetic sequences and series
- Geometric sequences and series
- Mathematical induction

Department Guidelines

In order to give the instructor the greatest flexibility in assigning a grade for the course, grades will be based on various instruments at the instructor’s discretion. However, to maintain instructional integrity there must be four class exams (including a final) or three class exams and a project (a project may be substituted for the final). At least 60% of the grade will be based on quantifiable work (exams, homework, quizzes, etc.). The remaining portion of the grade may be based on non-quantifiable work, attendance, projects, journal work, etc., at the instructor’s discretion.