Trigonometry

University credit, 16 assignments, 2 exams, $456 tuition, $75 administration fee, Prerequisites: one-and-one-half to two years of high-school algebra, and one year of high-school geometry. This is course U600-113.

Topics include trigonometric ratios and functions, graphs of trigonometric functions, trigonometricidentities, sum, difference, product, double- and half-angle identities, inverse trigonometric functions, trigonometric equations, sine and cosine laws, solving triangles, vectors, applications.

Prerequisites: One-and-one-half to two years of high-school algebra, and one year of high-school geometry. See the Prerequisites page for more detail.

Course Materials

• Analytic Trigonometry with Applications, 7th ed. Barnett, Ziegler and Byleen, Brooks/Cole Publishers
• Student Solutions Manual for Analytic Trigonometry with Applications, Saifer, Brooks/Cole Publishers
• Course Guide for Mathematics 113, Dudek, UW-Extension Independent Learning, available through MBS at direct.mbsbooks.com/uwlearning.htm (choose "Buy Materials", then "Independent Learning") or 800-325-3252.
• Student Handbook, available at learn.wisconsin.edu/il/studenthandbook/studenthandbook.pdf, or on paper by request to Learner Services, toll-free 1-877-UW-LEARN (877-895-3276).

Format of Course

The course consists of 16 lessons and 2 exams. Each lesson consists of:

• A reading assignment from the text.
• Exercises to test your understanding of the material. (Solutions to these self-test problems are provided in the course guide.)
• A written assignment, from the text, to submit for grading and feedback.

The course guide contains sample midterm and final exams, with solutions provided. The actual exams are mailed to a proctor selected by the student in accordance with Independent Learning's guidelines. Students are generally permitted to retake each exam a second time if they so choose. A request for a retake must be received within two weeks of the time you get back the graded exam.

Grading

Score	Letter Grade
NOTE: The grading scale was revised on Nov 13, 2003. This grading scale applies to all students who complete the course after that date.
93-100	A
90-92	AB
83-89	B
80-82	BC
73-79	C
65-72	D
0-64	F

Each lesson and each exam is graded on a 100-point scale. The exam average is computed as a weighted average, with the midterm counting for 30%, the final for 70%. The final score is computed as a weighted average, with the average of the lessons counting for 40%, and the weighted average of the exams counting 60%. The exam average must be at least 65 for a passing grade. Assuming this is the case, the overall average is then converted to a letter grade according to the table here.

Course Outline

• Lesson 1: Angles, Degrees, Arcs, Similar Triangles
• Lesson 2: Trigonometric Ratios, Right Triangles, Applications
• Lesson 3: Degrees vs. Radians, Linear and Angular Velocity
• Lesson 4: Trigonometric Functions
• Lesson 5: Exact Values for Special Angles and Real Numbers, Circular Functions
• Lesson 6: Basic Graphs, Graphic y = k + A sin(Bx) and y = k + A cos(Bx)
• Lesson 7: Graphing y = k + A sin(Bx + C) and y = k + A cos(Bx + C), Graphing Combined Forms
• Lesson 8: Tangent, Cotangent, Secant and Cosecant Revisited
• Mid-Course Examination
• Lesson 9: Fundamental Identities, Verifying Trigonometric Identities
• Lesson 10: Sum, Difference, and Cofunction Identities, Double-Angle and Half-Angle Identities
• Lesson 11: Product-Sum and Sum-Product Identities
• Lesson 12: Inverse Trigonometric Functions
• Lesson 13: Trigonometric Equations: An Algebraic Approach
• Lesson 14: Law of Sines, Law of Cosines
• Lesson 15: Areas of Triangles
• Lesson 16: Vectors Geometrically Defined
• Final Examination