Date Adopted: July 1, 1998 Date Reviewed:2002,2011 Date Revised:2008,2011, 2012 Alabama Department of Postsecondary Education Representing Alabama s Public Two-Year College System Jefferson State Community College MTH 113 Precalculus Trigonometry I. MTH 113 Precalculus Trigonometry - 3 Semester Hours Core Area III, TMTH II. Course Description This course includes the study of trigonometric (circular functions) and inverse trigonometric functions, and includes extensive work with trigonometric identities and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre s Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. III. Prerequisite A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score. An alternative to this is that the student should successfully pass with a C or higher in MTH 112. IV. Textbook Precalculus: Mathematics for Calculus, Stewart, Redlin, Watson 6 th Ed. Brooks/Cole, Cengage Learning 2011. V. Course Objectives The objective of this course is to provide an understanding of concepts, develop competent skills, and demonstrate applications in the following areas:
1. circular and right triangle approaches to trigonometry 2. vectors 3. complex numbers and their relationship with trigonometry and vectors 4. polar coordinates and polar graphs While building on the manipulative skills from algebra this course strives to develop analytic skills as a preparation for further mathematical applications or courses in mathematics requiring knowledge of trigonometric functions. VI. Course Outline of Topics A. This course shall include the following topics as a minimum. 1. Radian and degree measure 2. The trigonometric functions and the unit circle 3. Trigonometric functions and right triangles 4. Trigonometric functions of any angle 5. Graphs of trigonometric functions 6. Inverse trigonometric functions 7. Applications of trigonometry 8. Verifying trigonometric identities 9. Solving trigonometric equations 10. Sum and difference formulas 11. Multiple-angle and product-sum formulas 12. Law of sines 13. Law of cosines 14. Trigonometric form of a complex number 15. DeMoivre s Theorem and nth roots 16. Polar coordinates 17. Vectors B. Optional topics may include the following. 1. Conic sections 2. Sequences 3. Matrices to solve linear systems VII. Evaluation and Assessment A. College requirements: Examinations should be given by instructors periodically throughout their courses. Faculty are encouraged to give evaluative work early in the term so that students will have a clear understanding of the progress they are making. Final examinations will be given in all classes, and all students enrolled for academic credit will take the final examination. (College Handbook, section 3.7)
B. Grading system as stated in the college catalog: A - Excellent (90-100) B - Good (80-89) C - Average (70-79) D Poor (60-69) F Failure (below 60) C. Evaluation and assessment techniques may include any or all of the following: 1. Recitation 2. Daily assignments 3. Written assignments 4. Computer assignments 5. Projects 6. Participation 7. Exams To receive a grade of C or higher, the student must obtain an average of at least 70% on written test(s) and other evaluation criteria as determined by the instructor. ** Note: A grade of "C" or higher is required in this course for a student to be eligible for MTH 125S. VIII. Class Activities A. Lecture B. Recitation C. Discussion D. Individual instruction E. Testing IX. General Course Competencies A. The student will be able to apply knowledge of algebra. B. The student will acquire knowledge of trigonometry. C. The student will be able to use concepts of algebra and trigonometry in problem solving. X. Course Objectives Stated In Performance Terms A. The student will demonstrate application of knowledge of algebra by his/her ability to: 1. write the equation of a conic section in different forms 2. draw graphs of conic sections, including the translation of axes
3. perform fundamental operations using vectors. B. The student will demonstrate knowledge of trigonometry by his/her ability to 1. show understanding of the following trigonometric terms and properties through correct usage: a. degrees and radians. b. sine, cosine, tangent, cotangent, secant, and cosecant functions. c. complex numbers in both rectangular and trigonometric form. d. basic identities. e. trigonometric formulas. f. values of trigonometric functions using a calculator. g. trigonometric functions using a calculator. h. the values of the trigonometric functions at special values. 2. draw graphs of trigonometric functions 3. find inverse trigonometric functions 4. draw graphs of inverse trigonometric functions 5. solve trigonometric equations 6. find the product and quotient of complex numbers using trigonometric form 7. find the n n th roots of a complex number using DeMoivre's Theorem 8. draw graphs of polar equations C. The student will demonstrate his/her ability to use the following concepts of algebra and trigonometry to solve applied problems: 1. trigonometric functions 2. law of sines and law of cosines 3. properties of the right triangle XI. Attendance Students are expected to attend all classes for which they are registered. Students who are unable to attend class regularly, regardless of the reason or circumstance, should withdraw from that class before poor attendance interferes with the student s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid. XII. Statement on Discrimination/Harassment The College and the Alabama State Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated.
XIII. Americans with Disabilities The Rehabilitation Act of 1973 (Section 504) and the Americans with Disabilities Act of 1990 state that qualified students with disabilities who meet the essential functions and academic requirements are entitled to reasonable accommodations. It is the student s responsibility to provide appropriate disability documentation to the College. The ADA Accommodations office is located in FSC 300 (205-856-7731).