COLLIN COUNTY COMMUNITY COLLEGE

 

Course Number:    MATH 1316.CE1

 

Course Title:  Plane Trigonometry

 

Course Description:   In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included. Graphing calculator required.

 

CREDIT HOURS: 3

 

LECTURE HOURS: 3

LAB HOURS: 0

 

ASSESSMENT(S): Prior to enrolling in this course, the student must demonstrate eligibility to enroll in the following: MATH 1316, MATH 1325, MATH 1350, or MATH 2373.

 

PREREQUISITE: MATH 1314, MATH 1414, or TSI placement.

 

COREQUISITE: None

                                                  

STUDENT LEARNING OUTCOMES:

Upon completion of this course the student should be able to do the following:

1. Compute the values of trigonometric functions for key angles in all quadrants of    

    the unit circle measured in both degrees and radians. (Empirical/Quantitative)

2. Graph trigonometric functions and their transformations.

3. Prove trigonometric identities. (Communication Skills, Critical Thinking)

4. Solve trigonometric equations.

5. Solve right and oblique triangles. (Empirical/Quantitative)

6. Use the concepts of trigonometry to solve applications. (Communication Skills,

    Critical Thinking, Empirical/Quantitative)  

 

Withdrawal Policy: “See the current Collin Registration Guide for the last day

withdraw. “

 

Collin College Academic Policies:  See the current Collin Student Handbook.”

 

 Americans with Disabilities Act:

 Collin College will adhere to all applicable federal, state and local laws, regulations

 and guidelines with respect to providing reasonable accommodations as required to

 afford equal opportunity.  It is the student’s responsibility to contact the ACCESS

 office, SCC-G200 or 972.881.5898 (V/TTD: 972.881.5950) to arrange for

 appropriate accommodations.  See the current Collin Student Handbook for

 additional information.

 

Course Information

 

 

Instructor’s Name:  Nick Geller

Office Number: L235

Office Hours

                         MWF  8:30 – 9:00         MW 12:00 – 12:30  

                          TR  9:30 – 10:00 and 11:15 – 12:30

 

Phone Number: 972-377-1674

Email: ngeller@collin.edu

 

Class Information:

Section Number: 1316.CE1

Meeting Times:   TR 7:20 – 8:35

Meeting Location:  Celina HS

 

Course Resources: Textbook:   Trigonometry (7th edition), Charles P. McKeague and Mark D. Turner, Brooks/Cole (Cengage Learning), 2013. Webassign access code

 

Supplies:  Graphing Calculator (TI-89, TI-92, or any other calculator with CAS may not be used on exams) 

 

 

Method of Evaluation:

4 Chapter Exams                                          60%

Final Exam (Comprehensive)                            25%

Daily Quizzes                                               15%

                                                                                                              

Exam 1                                                 Ch  1 & 2                       

Exam 2                                                 Ch  3 & 4                

Exam 3                                                 Ch  5 & 6        

Exam 4                                                 Ch  7 & 8                           

Final                                                     Comprehensive            

 

 

 

Grading Policy:               89.5 - 100                      A

                                     79.5 - 89.4                     B

                                     69.5 - 79.4                     C

                                     59.5 - 69.4                     D

                                     59.4 & Below                 F

 

Other Information:

If you miss an exam for a valid reason, the final exam will be used as a replacement grade. If no exams are missed, the final exam grade will replace the lowest exam grade

 

Course Calendar:

 

Week

Material Covered

1

Introduction, 1.1 Angles Degrees and Special Triangles, 1.2 Rectangular Coordinate System,

1.3  Definition I: Trigonometric Functions

2

1.4 Introduction to Identities, 1.5 More on Identities, 2.1 Definition II:  Right Triangle Trigonometry, 2.2 Calculators and Trigonometric Functions

3

2.3 Solving Right Triangles,  2.4 Applications, 2.5 Vectors

4

Exam 1, 3.1  Reference Angle,  3.2 Radians and Degrees

5

3.3 Definition III:  Circular Functions,  3.4 Arc Length and Area of a Sector,

6

3.5 Velocities,  4.1  Basic Graphs, 4.2 Amplitude, Reflections and Period, 4.3 Vertical and Horizontal Translations,  4.4 The Other Trigonometric Functions

7

4.5 Finding an Equation From Its Graph, 4.6 Graphing Combinations of Functions,4.7  Inverse Trigonometric Functions

8

Exam 2, 5.1 Proving Identities, 5.2 Sum and Difference Formulas

9

5.3 Double Angle Formulas ,5.4 Half Angle Formulas, 5.5 Additional Formulas 

10

6.1 Solving Trig Equations,  6.2 More Trig Equations

11

6.3 Trig Equations Involving Multiple Angles, 6.4 Parametric Equations and Further Graphing

12

Exam 3, 7.1 The Law of Sines,  7.2 The Law of Cosines, 7.3 The Ambiguous Case

13

 7.4 The Area of a Triangle,  7.5 Vectors:  An Algebraic Approach,  7.6 Vectors:  The Dot Product

8.1  Complex Numbers

14

8.2 Trigonometric Form of a Complex Number,  8.3 Products and Quotients in Trig Form,

8.4 Roots of Complex Numbers

15

8.5 Polar Coordinates,  8.6  Equations of Polar Coordinates and their Graphs,Exam 4, Review for Final Exam

16

Final Exam