Course Abstract Details

XMATH-129, Trigonometry and Advanced Algebra

Credits: 3

This is a General Education Course

Course Description

MATH-129, Trigonometry and Advanced Algebra, is the second course in a two-course sequence. It is intensive study of trigonometry and other advanced algebra topics such as conics, parametric equations, and polar coordinates. This course is intended for future mathematics/science majors. Topics include the right triangle trigonometry, trigonometric functions, graphs, identities, trigonometric equations, inverse trigonometric functions, Laws of Sines and Cosines, conics, parametric equations, polar coordinates, and polar equations. Problems will be solved through analytic, numerical, and graphical approaches with an emphasis on setting up and solving relevant application problems. Students who need to take MATH-135, Calculus of a Single Variable 1, will need to complete both MATH-128 and MATH-129 in a year long sequence or the rigorous one semester MATH-130 course. Prerequisites: exemption/completion of READ-099 with a "C" grade or better and a satisfactory score on the placement exam, or MATH-128 with a "C" grade or better. Credit by exam available. Graphing calculator required. See Mathematics Department web site for details. Three hours lecture each week. Three credits. Three billable hours. Credit cannot be earned in both MATH-129 and MATH-130. GENERAL EDUCATION

Course Objectives and Grading Information

MAJOR COURSE OBJECTIVES: Upon completion of this course, the student should be able to:

1. Sketch, analyze, and determine the domains and ranges of the graphs of trigonometric and inverse trigonometric functions. (GE3, PG1)

2. Identify and graph shifts, reflections and transformations of trigonometric functions. (GE3, PG1)

3. Use and verify trigonometric identities. (GE3, PG1)

4. Evaluate a composition of trigonometric and inverse trigonometric functions. (GE3, PG1)

5. Solve trigonometric equations analytically and graphically. (GE3, PG1, PG4)

6. Use function models to set up and solve application problems. (GE2, GE3, PG1, PG3, PG4)

7. Use the Law of Sines and the Law of Cosines to solve oblique triangles. (GE3, PG1, PG4)

8. Represent vectors as directed line segments and perform mathematical operations on vectors. (GE3, PG1)

9. Graph parametric equations and convert between parametric and rectangular equations. (GE3, PG1)

10. Graph polar equations and convert between polar and rectangular equations. (GE3, PG1)

Learning Goals

The abbreviations in parentheses represent Learning Goals which have been identified for this course and program of study:

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