COURSE OUTLINE

MIDLANDS TECHNICAL COLLEGE

MAT 111 COLLEGE TRIGONOMETRY

3.0 Credit Hours

COURSE DESCRIPTION: This course includes the following topics: circular functions; trigonometric identities; solution of right and oblique triangles; solution of trigonometric equations; polar coordinates; complex numbers, including DeMoivre's Theorem; vectors; conic sections; sequences; and series.

TEXT:College Algebra and Trigonometry, Fifth Edition                                      by Richard Aufmann, Vernon Barker, Richard Nation                                    Houghton Mifflin, 2005

    Note: Distance Learning sections may use a different text.

PREREQUISITE: MAT 110

EQUIPMENT: Graphing Calculator required, TI-83 or TI-83+ recommended.

DEPARTMENTAL EDUSPACE COURSE CODE:   JENKI-3324D8C36799A0

GRADING SCALE:

    A 90 - 100    B 80 - 89    C 70 - 79    D 60 - 69    F Below 60

 

MATHEMATICS DEPARTMENT ATTENDANCE REQUIREMENTS

DEFINITIONS:

ABSENCE - Failure to be present for a scheduled meeting of the class or arriving for the class more than ten minutes after the scheduled time for the class to begin.

TARDY --- Arrival to class after the instructor has called the roll and before ten minutes past the time scheduled for the class to begin.

I. Absences are counted from the first day of classes.

II. Five absences are allowed for a class that meets three times per week and three absences are allowed for a class that meets two times per week.

III. Three tardies are considered as one absence. The student must meet with the instructor at the end of the class to which he has been late to have the absence changed to a tardy.

IV. There are no "excused" absences; all absences are counted, regardless of the reason for the absence.

V. A student missing class time by leaving early will also be counted absent.

Please note:You are responsible for all material and announcements presented, whether you are present or absent.

Mathematics Department
Airport: 822-3357
Beltline: 738-7689
Revised 2/20/2007

MAT 111 College Trigonometry Course Objectives

Students should be able to:

1. Find trigonometric ratio values of any angle.                                          2. Use the eight fundamental identities to verify other identities and use a graphing calculator to check for identities.                                                       3. Solve right and oblique triangles.                                                     4. Solve elementary vector problems.                                                      5. Use radian measure to solve application problems.                                      6. Graph the trigonometric functions and translations of these, both by using a graphing calculator and without a graphing calculator.                                             7. Find the area of triangles.                                                            8. Use a graphing calculator to express complex numbers in rectangular form and trigonometric form.                                                                       9. Multiply and divide complex numbers in trigonometric form; use DeMoivre's Theorem for powers and roots of complex numbers.                                                     10. Use a graphing calculator to change rectangular coordinates to polar coordinates and viceversa.                                                                                  11. Graph polar equations with and without a graphing calculator.                        12. Solve trigonometric equations with and without a graphing calculator.                13. Simplify expressions involving trigonometric functions.                              14. Solve problems by identifying what information is available and relevant to the problem.                                                                                 15. Solve problems by selecting or developing appropriate procedures and relationships.  16. Solve problems by correctly applying the methods selected to the information available. 17. Solve problems by verifying the validity and appropriateness of the solution.

 

MAT 111 COLLEGE TRIGONOMETRY

Note: This outline is given for the regular Fall/Spring fourteen week semesters. The same material is covered in the summer term and the sessions classes, but in the appropriate fewer number of weeks: ten weeks for summer term, seven weeks for fall and spring sessions classes, and five weeks for summer session classes.
WEEK TOPIC SECTION
1 Trigonometric Functions  
      Angles and Arcs 5.1
      Trigonometric Functions of Acute Angles 5.2
     
2     Trigonometric Functions of Any Angles 5.3
      Trigonometric Functions of Real Numbers 5.4
      Graphs of the Sine and Cosine Functions 5.6
     
3     Graphs of Other Trigonometric Functions 5.7
      Graphing Techniques 5.8
     
4     TEST 1  
  Trigonometric Identities and Equations  
      Verification of Trigonometric Identities 6.1
      Sum, Difference and Cofunction Identities 6.2
     
5     Double- and Half-Angle Identities 6.5
      Inverse Trigonometric Functions 6.5
     
6     Trigonometric Equations 6.6
      TEST 2  
     
7 Applications of Trigonometry  
      The Law of Sines 7.1
      The Law of Cosines and Area 7.2
     
8     Vectors 7.3
      Trigonometric Form of Complex Numbers 7.4
     
9     DeMoivre's Theorem 7.5
      TEST 3  
     
10 Topics in Analytic Geometry  
      Parabolas 8.1
      Ellipses 8.2
      Hyperbolas 8.3
     
11     Rotation of Axes 8.4
      Introduction to Polar Coordinates 8.5
      Polar Equations of the Conics 8.6
     
12     Parametric Equations 8.7
      TEST 4  
     
13 Sequences, Series and Probability  
      Infinite Sequences and Summation Notation 11.1
      Arithmetic Sequences and Series 11.2
      Geometric Sequences and Series 11.3
     
14     Mathematical Induction 11.4
      TEST 5  
     
  Final Examination