CREDIT COURSE OUTLINE I. COVER PAGE. (1) MATH 4A (2) TRIGONOMETRY (3) 4 Number Title Units

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1 CREDIT COURSE OUTLINE NONCREDIT CATEGORY: A-English as a Second Language B-Immigrant Education C-Elementary and Secondary Basic Skills D-Health and Safety E-Substantial Disabilities F-Parenting G-Home Economics H-Courses for Older Adults I-Short-Term Vocational J-Workforce Preparation Y-Not Applicable I. COVER PAGE (1) MATH 4A (2) TRIGONOMETRY (3) 4 Number Title Units (1A) Mathematics Discipline (4) Lecture / Lab Hours: (8)Classification: Course Hours Weekly Lec hours: 4.00 Degree applicable: Weekly Lab hours: 0 Non-degree applicable: Total Contact hours: Basic skills: Lec will generate hour(s) outside work. (9)CCC Fulfills AS/AA degree requirement: (area) Lab will generate hour(s) outside work. (5) Grading Basis: Grading Scale Only Competence in mathematics General education category: Pass/No Pass option Major: Pass/No Pass only Certificate of: (6) Advisories: Certificate in: Eligibility for English 125 and 126 (7) Pre-requisites (requires C grade or better): (10)CSU Baccalaureate: Mathematics 103 or equivalent and geometry Corequisites: (11)Repeatable: (A course may be repeated three times) 0 (12)C-ID: Proposed Start Date: Spring 2016 (12) Catalog Description: This course in trigonometry of the plane concentrates on trigonometric functions and their applications. Topics covered include the trigonometric functions, solution of right triangles, radian measure, fundamental identities, angular measure, graphs, logarithms, functions of composite angles, oblique triangles, trigonometric equations, inverse trigonometric functions, and complex numbers, including powers and roots. The study of polar coordinates and polar equations is also covered. II. COURSE OUTCOMES: (Specify the learning skills the student demonstrates through completing the course and link critical thinking skills to specific course content and objectives.) Upon completion of this course, students will be able to: 1. Provide and analyze graphs of trigonometric functions. 2. Apply trigonometric techniques to solve problems in real world contexts. 3. Derive, use and prove trigonometric properties and identities. 4. Produce solutions to equations using skills developed in trigonometry.

2 III. COURSE OBJECTIVES: (Specify major objectives in terms of the observable knowledge and/or skills to be attained.) In the process of completing this course, students will: 1. Evaluate trigonometric function values of both acute and obtuse angles using both special angle values and calculator values. 2. Evaluate the trigonometric function of an angle in degrees or radians. 3. Use the unit circle to determine the radian measure of angles and convert from radian to degree measure and vice versa. 4. Simplify trigonometric expressions. 5. Derive the basic trigonometric identities, sum and difference formulas, and double-angle and half-angle formulas. 6. Evaluate inverse trigonometric functions and their graphs. 7. Solve trigonometric equations. 8. Use the Law of Sines and Law of Cosines to solve both acute and obtuse triangles. 9. Solve word problems with right triangles. 10. Use polar coordinates to represent points and to graph polar equations. 11. Represent vectors in the rectangular coordinate system and identify their magnitude and direction; perform operations (addition, subtraction, scalar multiplication and dot product) with vectors. 12. Graph trigonometric functions; period, amplitude, phase shift, vertical shift, and asymptotes. 13. Use the trigonometric functions to determine sides and angles of right and oblique triangles. 14. Use Demoivre s Theorem and its application. Lecture Content: IV. COURSE OUTLINE: 1. Trigonometric functions: basic concepts, rectangular coordinates, angles, angle relationships, similar triangles, definitions of the trigonometric functions, applications. 2. Acute angles and right triangles: trigonometric functions of acute angles, reference angles, coterminal angles, evaluating trigonometric functions (exact and approximate), solving right triangles, applications of right triangles. 3. Set up, sketch and analyze vector application problems. 4. Radian measure and circular functions: radian measure, applications of radian measure, circular functions of real numbers, linear and angular velocity. 5. Graphs of the circular functions: graphs of the sine and cosine, graphs of the other circular functions. 6. Trigonometric relations (identities): fundamental identities, simplifying trigonometric expressions, verifying trigonometric identities, sum and difference formulas for cosine, sine and tangent, cofunction identities, double angle identities, half angle identities. 7. Inverse trigonometric functions and trigonometric equations: Inverse trigonometric functions, trigonometric equations, inverse trigonometric equations. 8. Polar coordinates and De Moivre s theorem: polar coordinates, polar graphs, complex numbers, De Moivre s Theorem 9. Applying computer and/or graphing calculator technology: using a scientific calculator to perform trigonometric calculations, using a graphing calculator and/or computer software to explore trigonometric graphs. 10. Solving Oblique triangles Law of sines and cosines. V. APPROPRIATE READINGS Reading assignments may include but are not limited to the following: 1. Sample Text Title: i. Recommended Lial, Hornsby, Schneider; Trigonometry; Pearson ed. 10 th ; Other Readings Global or international materials or concepts are appropriately included in this course Multicultural materials and concepts are appropriately included in this course If either line is checked, write a paragraph indicating specifically how global/international and/or multicultural materials and concepts relate to content outline and/or readings. VI. METHODS TO MEASURE STUDENT ACHIEVEMENT AND DETERMINE GRADES: Students in this course will be graded in at least one of the following four categories. Please check those appropriate. A degree applicable course must have a minimum of one response in category A, B, or C. A. Writing Check either 1 or 2 below 1. Substantial writing assignments are required. Check the appropriate boxes below and provide a written description in the space provided. 2. Substantial writing assignments are NOT required. If this box is checked leave this section blank. For degree applicable courses you must complete category B and/or C. a) essay exam(s) d) written homework b) term or other paper(s) e) reading reports c) laboratory report(s) f) other (specify)

3 Required assignments may include but are not limited to the following: B. Problem Solving Computational or non-computational problem-solving demonstrations, including: a) exam(s) d) laboratory reports b) quizzes e) field work c) homework problems f) other (specify): In-class group activities Required assignments may include but are not limited to the following: 1. Exams are computational and problem solving in nature. 2. Application problems will require the analysis of given information to determine how best to apply the mathematical concepts learned to solve the problem. C. Skill demonstrations, including: a) class performance(s) c) performance exams(s) b) field work d) other (specify) Required assignments may include but are not limited to the following: D. Objective examinations including: a) multiple choice d) completion b) true/false e) other (specify): Exams will be comprised of open-ended questions in which students show all steps of their solution process. c) matching items COURSE GRADE DETERMINATION: Description/explanation: Based on the categories checked in A-D, it is the recommendation of the department that the instructor's grading methods fall within the following departmental guidelines; however, the final method of grading is still at the discretion of the individual instructor. The instructor's syllabus must reflect the criteria by which the student's grade has been determined. (A minimum of five (5) grades must be recorded on the final roster.) If several methods to measure student achievement are used, indicate here the approximate weight or percentage each has in determining student final grades. 30% Homework 10% In-class activity work 60% Exams VII. EDUCATIONAL MATERIALS For degree applicable courses, the adopted texts, as listed in the college bookstore, or instructor-prepared materials have been certified to contain college-level materials. Validation Language Level (check where applicable): Textbook Reference materials Instructor-prepared materials Audio-visual materials Indicate Method of evaluation: Used readability formulae (grade level 10 or higher) Text is used in a college-level course Used grading provided by publisher Other: (please explain; relate to Skills Levels) Computation Level (Eligible for MATH 201 level or higher where applicable) College-Level Criteria Met YES NO Content Breadth of ideas covered clearly meets college-level learning objectives of this course Presentation of content and/or exercises/projects: Requires a variety of problem-solving strategies including inductive and deductive reasoning. Requires independent thought and study Applies transferring knowledge and skills appropriately and efficiently to new situations or problems. List of Reading/Educational Materials Recommended Lial, Hornsby, Schneider; Trigonometry; Pearson ed. 10 th ; Comments:

4 Attached Files: This course requires special or additional library materials (list attached). This course requires special facilities: REQUISITES Prerequisite -- MATH 103 INTERMEDIATE ALGEBRA Simplify and/or factor mathematical expressions into forms more conducive to analysis. Solve equations introduced in Intermediate Algebra (linear, quadratic, exponential, logarithmic, and radical). Graph functions and relations introduced in Intermediate Algebra (linear, quadratic, exponential, logarithmic, and radical). ESTABLISHING PREREQUISITES OR COREQUISITES Evaluate trigonometric function values of both acute and obtuse angles using both special angle values and calculator values. Use polar coordinates to represent points and to graph polar equations. Graph trigonometric functions. Every prerequisite or corequisite requires content review plus justification of at least one of the seven kinds below. Prerequisite courses in communication and math outside of their disciplines require justification through statistical evidence. Kinds of justification that may establish a prerequisite are listed below. Check one of the following that apply. Documentation may be attached. Significant statistical evidence indicates that the absence of the prerequisite course is related to unsatisfactory performance in the target course. The health or safety of the students in this course requires the prerequisite. The prerequisite course is part of a sequence of courses within or across a discipline. The prerequisite is required in order for the course to be accepted for transfer to the UC or CSU systems. The prerequisite/corequisite is required by law or government regulations. Explain or cite regulation numbers: The safety or equipment operation skills learned in the prerequisite course are required for the successful or safe completion of this cour The safety or equipment operation skills learned in the prerequisite course are required for the successful or safe completion of this course. Three CSU/UC campuses require an equivalent prerequisite or corequisite for a course equivalent to the target course: Justification: DISTANCE EDUCATION ADDENDEUM

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