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WESTERN OKLAHOMA STATE COLLEGE

DIVISION OF MATH, SCIENCE AND AGRICULTURE

COURSE MASTER SYLLABUS

COURSE NUMBER: MATH 1613

COURSE TITLE: Trigonometry

CREDIT HOURS: 3

PREREQUISITE: MATH 1513 College Algebra

COREQUISITES: None

CATALOG DESCRIPTION:

Course content includes trigonometric functions, logarithms, trigonometric funtions, solutions of triangles, and complex numbers.

TEXTBOOKS:

Trigonometry, 6th Edition, Lial, Addison Wesley, 1997

SUPPLIES:

Scientific of graphing calculator, pencil ( not pens), and loose-leaf paper.

LEARNER OUTCOMES:

After successful completion of this course, the student should be able to complete the following:

1.0 Trigonometric function concept.

2.0 Radian measure and the circular functions.

3.0 Trigonometric identities.

4.0 Trigonometric equations.

5.0 Trigonometric applications.

6.0 Complex numbers.

7.0 Exponential and logarithmic functions.

COURSE REQUIREMENTS:

See instructor sheet for specific course requirements.

METHOD OF EVALUATION:

Instructors must provide class information sheets (class syllabus) which specify course requirements. Class information sheets must clearly state the instructor’s attendance policy.

ATTENDANCE POLICY:

Although attendance may not be used in the determination of grades, regular attendance is expected. Class information sheets must clearly state the instructor’s attendance policy.

ACADEMIC ETHICS:

Each student is expected to do his/her own work. If unethical behavior is detected appropriate action will be taken after review by the proper authorities.

STUDENT ASSISTANCE:

The following resources are available to assist the student in successful completion of this course:

A. Video: Trigonometry tapes that accompany the textbook.

B. Tutoring Services: Peer tutoring is available at specific time periods in the LRTC

C. Student Store: Student solutions manual, interactive Mathematics Tutorial Software that accompany the textbook.

COURSE COMPETENCIES:

1.0 To demonstrate competencies in trigonometric function concepts, the student should be able to do the following:

1.1 Define the six trig. functions.

1.2 Find values of the six trig. functions.

1.3 Find values of the six trig. functions for angles in standard position having given points on their terminal sides.

1.4 Evaluate trig. expressions.

1.5 Identify quadrants for various angles satisfying given conditions.

1.6 Determine the signs of trig. function values for various angles.

1.7 Learn and use the domains and ranges of the trig.function.

1.8 Find the values of trig. functions using triangle-based definitions.

1.9 Find missing sides of right triangle using trig. function concepts.

1.10 Find reference angles for given angles.

1.11 Find trig. function values using reference angles.

1.12 Approximate and compare function values using a calculator.

1.13 Simplify trig. expressions.

1.14 Solve right triangles.

1.15 Match various trig. functions with their graphs.

1.16 Graph defined trig. functions over one-period intervals.

1.17 Identify amplitude, cycle, vertical and horizontal translation of defined trig. functions.

2.0 To demonstrate competency in radian measures and the circular functions, the student should be able to do the following:

2.1 Find continual angles measured in radians.

2.2 Convert radian measures to degrees.

2.3 Convert degree measures to radians.

2.4 Find circular function values using a calculator.

2.5 Find circular function values of special angles without a calculator.

3.0 To demonstrate competency in trig. identities, the student should be able to do the following:

3.1 Find trig function values using identities.

3.2 Rewrite trig. expressions using identities.

3.3 Compare function values using fundamental identities.

3.4 Match different trig. expressions using identities.

3.5 Verify various identities.

4.0 To demonstrate competency in trig. equations, the student should be able to do the following:

4.1 Solve trig. equations for solutions over various intervals, using a calculator.

4.2 Solve trig. equations for a specific variable.

4.3 Solve trig. equations without a calculator, assuming all angles are acute angles.

5.0 To demonstrate competency in trig. applications, the student should be able to do the following:

5.1 Solve applications using similar triangles.

5.2 Solve problems involving rotation, time and degrees.

5.3 Solve applications involving right triangles.

5.4 Solve problems of radian measure involving area, length sector, and sector area.

5.5 Solve applications involving periodic functions.

5.6 Solve problems involving linear and angular velocity.

5.7 Solve applications using law of sine and law of cosine.

5.8 Solve problems involving vectors.

6.0 To demonstrate competency in complex numbers, the student should be able to do the following:

6.1 Solve various equations involving complex numbers.

6.2 Perform indicated operations with complex numbers and write answers in standard form.

6.3 Rewrite complex numbers from standard form to trig. form

6.4 Rewrite complex numbers from trig. form to standard form.

6.5 Graph complex number including roots and resulants.

6.6 Find powers and roots of complex numbers using (???) theorem.

6.7 Find equivalent equations in rectangular coordinates and solar coordenantes.

6.8 Find rectangular equations from given parametric equations.

7.0 To demonstrate competency in exponential and logarithmic functions, the student should be able to do the following:

7.1 Rewrite an exponential equation in logarithmic form.

7.2 Rewrite a logarithmic equation in exponential form.

7.3 Match basic exponential and logarithmic equations with their graph.

7.4 Learn properties of logs to rewrite log expressions as sums, differences, or products of logs and vice versa.

7.5 Evaluate log expressions using a calculator.

7.6 Solve applications using exponential and logarithmic functions.

7.7 Solve exponential and logarithmic equations.

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