Course Number: MATH 1112

Course Title: Trigonometry and Analytic geometry

Hours Credit: 3 hours

Prerequisites: Math 1111 or consent of the department

Courses Description: Topics in analytic trigonometry and analytic geometry.

Text: Precalculus (2^nd edition) by Robert Blitzer, Prentice-Hall

Learning Outcomes: Students should be able to demonstrate:

1. An understanding of how to find the values of the trigonometric functions from right triangles and circles
2. An understanding of how to graph the trigonometric functions
3. An understanding of how to prove trigonometric identities
4. An understanding of how to use the sum, difference, double-angle and half-angle formulas for sine and cosine
5. An understanding of how to solve triangle using the law of sines and law of cosines
6. An understanding of polar coordinates and graphs
7. An understanding of conic sections and the graphs
8. An understanding of how to analyze and solve applied problems

Topics: The following sections of Blitzer’s book will be covered:

Section

4.1 Angles and Their Measures

4.2 Trigonometric Functions: The Unit Circle

4.3 Right Triangle Trigonometry

4.4 Trigonometric Functions for any Angle

4.5 Graphs of Sine and Cosine Functions

4.6 Graphs of Other Trigonometric Functions

4.7 Inverse Trigonometric Functions

4.8 Applications of Trigonometric Functions

5.1 Verifying Trigonometric Identities

5.2 Sum and Difference Formulas

5.3 Double-Angle and Half-Angle Formulas

5.4 Product to Sum and Sum to Product Formulas

5.5 Trigonometric Equations

6.1 Law of Sines

6.2 Law of Cosines

6.3 Polar Equations

6.4 Graphs of Polar Equations

6.5 Complex Numbers in Polar Form; DeMoivre’s Theorem

6.6 Vectors

6.7 The Dot Product

9.1 The Ellipse

9.2 The Hyperbola

9.3 The Parabola

9.5 Parametric Equations

9.6 Conic Sections in Polar Equations

Grading Method: To be determined by instructor.