Course Outline for Mathematics 36S
Trigonometry with Support

Effective: Fall 2019
SLO Rev: 09/12/2018
Catalog Description:

MTH 36S - Trigonometry with Support

4.00 Units

Plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. This section include embedded review of basic algebra and geometry topics as needed, to improve understanding of trigonometric topics. This course is equivalent to MTH 36 with additional lab hours for students who did not place directly into MTH 36 or for students who place directly into MTH 36 but desire additional instruction.
Prerequisite: MTH 57 or MTH 57W and MTH 55 or MTH 55B or MTH 55L or an appropriate placement through the Mathematics Placement process. NONE: May not receive credit if Mathematics 37 has been completed
1701.00 - Mathematics, General
Letter Grade Only
Type Units Inside of Class Hours Outside of Class Hours Total Student Learning Hours
Lecture 3.00 54.00 108.00 162.00
Laboratory 1.00 54.00 0.00 54.00
Total 4.00 108.00 108.00 216.00
Measurable Objectives:
Upon completion of this course, the student should be able to:
  1. identify and use the trigonometric ratios in problem solving;
  2. use radian measure;
  3. define trigonometric functions in terms of the right triangle and the unit circle;
  4. write down from memory the values of sine, cosine, and tangent functions of standard angles, both in degree and radian measure;
  5. prove trigonometric identities;
  6. write down from memory the Pythagorean identities, reciprocal identities, double angle formulas for sine and cosine, and sum and difference formulas for the sine and cosine;
  7. use trigonometric formulas;
  8. solve trigonometric equations with multiple angles over different intervals;
  9. use the law of sines and the law of cosines to solve oblique triangles;
  10. graph trigonometric functions;
  11. graph the inverse sine, inverse cosine, and inverse tangent functions;
  12. convert between polar coordinate system and rectangular coordinate system;
  13. graph polar equations.
Course Content:
  1. Trigonometric functions
  2. Trigonometric equations
  3. Trigonometric formulas and identities
  4. The graphs of trigonometric functions and their inverses
  5. Polar coordinates
  6. Solution of triangles and related problems
  7. Review factoring as it pertains to solving trigonometric equations
  8. Review solving polynomial equations
  9. Review rational and radical expressions
  10. Review compostiion of functions
  11. Review of function notation
  12. Review domain and ranges of functions
  13. Review graphing functions
  14. Reflect on Study Skills
    1. Grit and Growth Mindset
    2. How Learning Math is Different
    3. Resources On and Off Campus
    4. Time Management
    5. How to Be an Effective Listener and Take Notes
    6. How to Approach Homework
    7. How to Study for an Exam
    8. Overcoming Math and Test Anxiety
Methods of Instruction:
  1. Lecture/Discussion
  2. Class and group discussions
  3. Problem Solving
Assignments and Methods of Evaluating Student Progress:
  1. Exercises from the textbook. Read section 3.1. Do exercises 1 – 13 odd, 15 – 20 all, and 27
  2. Give the students unit circles on a rectangular grid system. Have the students draw the graphs of y = sin x, y = cos x and y = tan x
  1. Exams/Tests
  2. Quizzes
  3. Homework
  4. Final Examination
Upon the completion of this course, the student should be able to:
  1. Critically analyze mathematical problems using a logical methodology
  2. Communicate mathematical ideas, understand definitions, and interpret concepts
  3. Increase confidence in understanding mathematical concepts, communicating ideas and thinking analytically
Textbooks (Typical):
  1. Dugopolski , M (2015). Trigonometry (4th). Pearson Publishing.
  • Scientific calculator
  • Access to online class support such as MyMathLab, Knewton or ALEKS or the equivalent
Abbreviated Class Schedule Description:
Plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. This section include embedded review of basic algebra and geometry topics as needed, to improve understanding of trigonometric topics. This course is equivalent to MTH 36 with additional lab hours for students who did not place directly into MTH 36 or for students who place directly into MTH 36 but desire additional instruction.
Prerequisite: MTH 57 or MTH 57W and MTH 55 or MTH 55B or MTH 55L or an appropriate placement through the Mathematics Placement process. NONE: May not receive credit if Mathematics 37 has been completed
Discipline:
Mathematics*