MAT 122

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PUEBLO COMMUNITY COLLEGE

COURSE SYLLABUS

1.

TITLE OF COURSE:

College Trigonometry

PREFIX/NUMBER:

MAT 122

CREDIT HOURS:

3

2.

PREREQUISITE:

Successful completion of MAT 121 with a grade of C or better OR ACCUPLACER Math Test score of 63-102 (CLM) OR ACT 24

3.

RESOURCES NEEDED:

TEXT:

Trigonometry, 3/e by Mark Dugopolski

ISBN: 9780558918712

SUPPLIES:

MyMathLab Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil and calculator (optional).

4.

COURSE DESCRIPTION:

Covers topics including trigonometric functions (with graphs and inverse functions), identities and equations, solutions of triangles, complex numbers, and other topics as time permits. This is a traditional prerequisite course to the calculus sequence.

5.

COURSE OBJECTIVES :

A.      Acquire an understanding of trigonometric vocabulary. Measure angles in degrees and radians.

B.      Calculate the values of trigonometric functions of acute angles using right triangles. Evaluate trigonometric functions for general angles. Use reference angles to evaluate trigonometric functions.

C.      Construct the graphs of the trigonometric functions.

D.     Read and interpret angular and linear velocity type problems.

E.      Read, interpret, and use drawing to solve survey type problems.

F.       Recall and apply the reciprocal, quotient, Pythagorean, and even-odd identities to simplify expressions

G.     Use the fundamental identities to verify trigonometric identities.

H.     Employ the formulas for sums and differences to find the exact values of the trigonometric functions for selected angles, and to simplify expressions.

I.        Derive and use the double-angle and half-angle formulas.

J.        Use the product and sum formulas, and graph combination of sine and cosine functions.

K.      Describe the relationship between the trigonometric functions and their inverses.

L.       Calculate solutions for trigonometric equations with variable side conditions.

M.   Solve right triangles.

N.     Use the law of sines to solve a general triangle, including ambiguous case.

6.

EVALUATION PROCEDURES:

The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout.

Grading Scale:
The following Grading Scale will be used:

90% – 100% - S/A
80% – 89% - S/B
70% – 79% - S/C
60% - 69% - U/D
0% - 59% - U/F

7.

COURSE OUTLINE:

Textbook Chapters 1 – 5

1. Angles and the Trigonometric Functions

1.1 Angles and Degree Measure

1.2 Radian Measure, Arc Length, and Area

1.3 Angular and Linear Velocity

1.4 The Trigonometric Functions

1.5 Right Angle Trigonometry

1.6 The Fundamental Identity and Reference Angles

2. Graphs of the Trigonometric Functions

2.1 The Unit Circle and Graphing

2.2 The General Sine Wave

2.3 Graphs of the Secant and Cosecant Functions

2.4 Graphs of the Tangent and Cotangent Functions

2.5 Combining Functions

3. Trigonometric Identities

3.1 Basic Identities

3.2 Verifying Identities

3.3 Sum and Difference Identities for Cosine

3.4 Sum and Difference Identities for Sine and Tangent

3.5 Double-Angle and Half-Angle Identities

3.6 Product and Sum Identities

4. Solving Conditional Trigonometric Equations

4.1 The Inverse Trigonometric Functions

4.2 Basic Sine, Cosine, and Tangent Equations

4.3 Multiple Angle Equations

4.4 Trigonometric Equations of Quadratic Type

5. Applications of Trigonometry

5.1 The Law of Sines

5.2 The Law of Cosines

5.3 Area of a Triangle

5.4 Applications of Vectors

8.

METHODS OF INSTRUCTION:

To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities.

The instructor may assign point values to such activities.

Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus.

Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately.

9.

ACADEMIC INTEGRITY:

The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.

10.

DISABILITY STATEMENT:

Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.

11.

SPECIAL REMARKS:

Homework: Homework will be assigned and evaluated as determined by the instructor.

Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made.

Special Note for Online Section (01W): You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP.

Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class.

Use of Electronics in the Classroom: Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and social networking sites such as Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.

1.	TITLE OF COURSE:		College Trigonometry
	PREFIX/NUMBER:		MAT 122	CREDIT HOURS:	3
2.	PREREQUISITE:		Successful completion of MAT 121 with a grade of C or better OR ACCUPLACER Math Test score of 63-102 (CLM) OR ACT 24
3.	RESOURCES NEEDED:
	TEXT:		Trigonometry, 3/e by Mark Dugopolski ISBN: 9780558918712
	SUPPLIES:		MyMathLab Student Access Kit (packaged with new textbook or may be purchased online), paper, pencil and calculator (optional).
4.	COURSE DESCRIPTION:		Covers topics including trigonometric functions (with graphs and inverse functions), identities and equations, solutions of triangles, complex numbers, and other topics as time permits. This is a traditional prerequisite course to the calculus sequence.
5.	COURSE OBJECTIVES :		A. Acquire an understanding of trigonometric vocabulary. Measure angles in degrees and radians. B. Calculate the values of trigonometric functions of acute angles using right triangles. Evaluate trigonometric functions for general angles. Use reference angles to evaluate trigonometric functions. C. Construct the graphs of the trigonometric functions. D. Read and interpret angular and linear velocity type problems. E. Read, interpret, and use drawing to solve survey type problems. F. Recall and apply the reciprocal, quotient, Pythagorean, and even-odd identities to simplify expressions G. Use the fundamental identities to verify trigonometric identities. H. Employ the formulas for sums and differences to find the exact values of the trigonometric functions for selected angles, and to simplify expressions. I. Derive and use the double-angle and half-angle formulas. J. Use the product and sum formulas, and graph combination of sine and cosine functions. K. Describe the relationship between the trigonometric functions and their inverses. L. Calculate solutions for trigonometric equations with variable side conditions. M. Solve right triangles. N. Use the law of sines to solve a general triangle, including ambiguous case.
6.	EVALUATION PROCEDURES:		The final grade for this course is determined by a combination of exams, quizzes, projects, and homework. The point value of each assignment will be given to the students by the instructor is a separate handout. Grading Scale: The following Grading Scale will be used: 90% – 100% - S/A 80% – 89% - S/B 70% – 79% - S/C 60% - 69% - U/D 0% - 59% - U/F
7.	COURSE OUTLINE:		Textbook Chapters 1 – 5 1. Angles and the Trigonometric Functions 1.1 Angles and Degree Measure 1.2 Radian Measure, Arc Length, and Area 1.3 Angular and Linear Velocity 1.4 The Trigonometric Functions 1.5 Right Angle Trigonometry 1.6 The Fundamental Identity and Reference Angles 2. Graphs of the Trigonometric Functions 2.1 The Unit Circle and Graphing 2.2 The General Sine Wave 2.3 Graphs of the Secant and Cosecant Functions 2.4 Graphs of the Tangent and Cotangent Functions 2.5 Combining Functions 3. Trigonometric Identities 3.1 Basic Identities 3.2 Verifying Identities 3.3 Sum and Difference Identities for Cosine 3.4 Sum and Difference Identities for Sine and Tangent 3.5 Double-Angle and Half-Angle Identities 3.6 Product and Sum Identities 4. Solving Conditional Trigonometric Equations 4.1 The Inverse Trigonometric Functions 4.2 Basic Sine, Cosine, and Tangent Equations 4.3 Multiple Angle Equations 4.4 Trigonometric Equations of Quadratic Type 5. Applications of Trigonometry 5.1 The Law of Sines 5.2 The Law of Cosines 5.3 Area of a Triangle 5.4 Applications of Vectors
8.	METHODS OF INSTRUCTION:		To be successful in this course, students are expected to participate in discussions, readings, in-class writing, and peer review activities. The instructor may assign point values to such activities. Special Note for Pueblo Campus: This course uses MyLabsPlus for all assignments and exams and requires active participation in the use of the online software program. All Assignments and Exams must be done in MyLabsPlus. Special Note for Online Section (01W): This course requires active participation in using computer software to view demonstrations, hear lectures, and respond to assignments on the web. Class meetings will be delivered on the web. YOU ARE NOT REQUIRED TO ATTEND ONSITE CLASSES; ALL WORK IS COMPLETED ONLINE. The examinations will be given via MyMathLab. You must have access to a computer that allows access to the internet, if you do not have such access, you MUST drop from the course immediately.
9.	ACADEMIC INTEGRITY:		The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Pueblo Community College has adopted a policy of academic conduct as described in the Student Handbook. Violation of academic integrity may be defined to include the following: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, and personal misrepresentation. It is the student’s responsibility to be aware of the behaviors that constitute academic dishonesty. Disciplinary sanctions for violating the standards of academic integrity may include warning, probation, or suspension. Academic sanctions may include failure of the course or the assignment at the discretion of the instructor. Students may receive both disciplinary and academic sanctions.
10.	DISABILITY STATEMENT:		Students who have a documented disability may be eligible to receive accommodations for this class. Please contact the Disability Resources Center at 549-3446 for further information.
11.	SPECIAL REMARKS:	*Homework: Homework will be assigned and evaluated as determined by the instructor. Attendance: Attendance will be taken and students may be withdrawn from the class when they have missed 20% of the total class time. Missed exams will result in a zero for that exam unless prior arrangements have been made. Special Note for Online Section (01W):* You are not required to attend on campus classes. All coursework is completed online. Your first login to Desire2Learn (D2L) and/or MyLabsPlus (MLP) is considered attending class for the first time. Subsequent logins constitutes attending class. Your last date of attendance will be recorded based on your last login to either D2L or MLP. *Conduct: Professional and courteous behavior is expected at all times. Disruptive behavior is UNACCEPTABLE* in the classroom and will result in immediate disciplinary sanctions which may include the student’s temporary or permanent removal from the class. *Use of Electronics in the Classroom:* Computers and other electronic devices may be used in the classroom only for academic purposes as directed by the instructor. Texting and/or accessing personal e-mail and social networking sites such as Facebook are not allowed. All cell phones must be turned off during class. If a student uses an unapproved electronic device during a test or class activity, the student will receive no credit for the activity or test, may be asked to leave the classroom, and/or may fail the course for cheating.