MTH 112: Trigonometry

Syllabus is subject to change: Student is responsible for any announcements made in class or under the Messages tab above.

Table of Contents

INSTRUCTOR INFO (back to top)

Instructor Name           Bob Hillenbrand    
Office Phone                541-278-5809
Contact Preferences    email only


This course will cover families of trigonometric functions, their inverses, properties, graphs, and applications.  Additionally we will study trigonometric equations and identities, the laws of sines and cosines, polar coordinates and graphs, parametric equations and elementary vector operations.

5 Quarter Credits

Instructional Delivery: This course is divided into Chapters. Within each chapter students will be expected to read the text book before coming to class, take notes on lecture presentations, and participate in classroom discussions.  Student knowledge and progress will be assessed within each chapter by means of quizzes and daily homework assignments.  At the end of each chapter an exam covering the learning objectives for that chapter will be given.

Course Content Outline

  • Chapter 5: Trigonometric Functions of Angles
  • Chapter 6: Periodic Functions
  • Chapter 7: Trigonometric Equations and Identities
  • Chapter 8: Further Applications of Trigonometry
  • Conic Sections

For details on the course learning outcomes, see the later section of the syllabus.

REQUIRED knowledge & materials (back to top)

Prerequisite course: MTH111 with a 2.0 or better, sufficient COMPASS score, or equivalent.

Suggested competencies: Students should exhibit confidence and mastery of algebraic skills, basic number sense, and the ability to think mathematically.  As mentioned in the link below, success in this course will depend on the student’s ability to respond to the challenges presented by new problems and new ideas. In addition to content knowledge the attributes described in the following link are crucial to success in this course.

Online resources: We will be using MyOpenMath and Khan Academy

Calculator: A graphing calculator is required for this course. The TI 84 is recommended.

Text: PreCalculus: An investigation of functions, Rasmussen/Lippman 1st Edition....available free online.  


TEST: At the end of each chapter a closed book, timed assessment will be given on the chapter material that will assess the chapter outcomes.  Students will be given 50 minutes to complete the assessment.  Specific directions for each exam will be given on the exam as well as announced during the review session.  The exam may have a calculator and non-calculator sections.  To receive full credit on an individual problem, appropriate methods from the chapter being tested, scratch work to support that method and the answer itself must be clear and correct.

Students who miss a test but make arrangements ahead of time with the instructor may be given an opportunity to test early or late with appropriate documentation provided as to why the exam cannot be taken on the scheduled day. Students who miss a test without contacting the instructor before the test will not be allowed to take the test and will be given a score of 0. 

HOMEWORK:  Homework will be completed online via links in this course. These problem sets provides immediate feedback on homework assessments providing a “self-check” for completed work which allows students to immediately know the areas in which they need more help and practice.

 For each section in each chapter there will be homework questions that address the section level outcomes.  Each section of homework will be opened at the beginning of the chapter and will be due the morning of the test. Late work will not be accepted.  Homework is graded on accuracy. No partial credit will be given.  However, students will be allowed to re-attempt new versions of each homework question type as many times as they would like until they get it correct.  Students may use open book & open notes to complete their homework. Student may also ask questions on the homework forum for the question type they are struggling with, and are encouraged to seek assistance from fellow students, tutors, and the instructor as needed.

QUIZ:  For each section covered students will be responsible for watching the video and/or reading that section in the text prior to our covering it in class. The class period will be devoted to further explanation, answering questions, and doing problems. I will be available via Blackboard (at the link for the live online classroom from 9 to 10 am every MWF for questions prior to class).  There will be a quiz at the beginning of each class on the material explained in the video. Quizzes are used to ensure students are staying on track with reading the text, watching videos and doing the homework, as well as to provide opportunities for experience with timed assessment in a test.


RETURN POLICY: Please allow up to one week for the grading of all assessments



Test 1 (Chapter 5) 10%
Test 2 (Chapter 6) 10%
Test 3 (Chapter 7) 10%
Test 4 (Chapter 8) 10%
Test 5 (Conics) 10%
Homework sets from each chapter (Chapters 5 - 8 plus Conics) 20%
Quiz scores (the best 10) 10%
Final Exam 20%
TOTAL 100%

Your grade will be translated into a decimal grade as follows:

90%+ A
80-89% B
70-79% C
60-69% D
below 60% F

Students must achieve a 2.0 or higher to move on to the next course



Response time information instructor-Student: Please allow 24 hrs response time for all messages left after 8am on Monday but before noon on Friday.  Messages left after noon on Friday may take up to 72 hrs. *Holidays excluded.

Response information/expectation Student – Instructor: Students are expected to check and read their email, messages and announcement posts regularly and respond if needed following the same guidelines I have set for myself.



  • Access to a computer and graphing calculator (at home, school or work) which you can use for extended periods of time
    • If you do not have extended access you must have the ability to print from the computer & return later to input assessment answers.
  • High speed internet access with an up-to-date internet browser. 
  • Ability to install plug-ins or class software (if not using school computers). Highly recommended
    • Up to date antivirus software
    • Back up school work assignments on an external hard drive/memory stick or on Google docs, etc.


  • Navigate web sites and use search engines
  • Download files from websites for reading or installation of software or plug ins
  • Use email, including attaching and downloading documents and files
  • Copy, paste, save & retrieve documents and files on your  computer


All students are subject to the responsibilities, rules and regulations as outlined by the college student code of conduct.  Knowledge of the information contained in these documents is the student’s responsibility.


In all course communication with your instructor and fellow classmates, English writing skills are required with proper capitalization, grammar, spelling, and punctuation. Avoid slang and acronyms like ROTFL for “rolling on the floor laughing.” Don’t use ALL CAPS for entire sentences or posts, which denote yelling at someone. Any form of attack or inappropriate response within any form of communication with other students or faculty is unacceptable and if done in a discussion post will be removed immediately accompanied with a warning. If you disagree with something someone says, do so respectfully and collegially, and provide legitimate examples to support your side. Re-read your writing before submitting and consider the tone of your emails and discussion posts, making sure nothing is coming across as defensive, too “know-it-all” or critical, or academically inappropriate.


Academic dishonesty, cheating, plagiarism will not be tolerated and may result in failing the assessment in question or  the entire course. Students may also be subject to disciplinary actions by the college as outlined in the Student Code of Conduct, as mentioned above. For more information on what constitutes plagiarism please become familiar with the following. 

SUPPORT SERVICES (back to top)

Please utilize the following college resources to help you be successful in this course.

Educational Support: I encourage and highly recommend utilizing the tutorial center, video support, homework assignments, additional practice or obtain an individual tutor if needed.

Students with disabilities: Blue Mountain Community College is committed to providing inclusive learning environments. Please notify us if there are aspects of the course that result in disability-related barriers to your participation. For assistance with disability accommodations, please contact the Health and Wellness Center at 541-278-5965, TDD 541-278-2174 or email

COURSE OUTCOMES (back to top)


1. Quantitative & Symbolic Reasoning

Students utilize mathematical, symbolic, logical, graphical, geometric or statistical analysis for the interpretation and solution of problems in the natural world and human society.  Students will utilize both traditional and technological methods.

2. Critical, Creative and Reflective Thinking

Students will be able to question, search for answers and meaning, and develop ideas that lead to action.

  • Apply mathematical principles and techniques learned in this course to similar situations throughout the course.
  • Combine reason, experience, and information from this course, other courses, or earlier life experiences to: (a) critically interpret a problem using an appropriate mathematical model, (b) determine the methods of solution for problems, (c) then apply those methods, and finally (d) judge whether the calculated solutions are reasonable.

3. Citizenship

Student will be able to effectively communicate various topics and ideas while displaying respect and responsibility to other classmates continually striving to promote multiculturalism in the classroom to foster healthy working relationships.


For each outcome, the chapter(s) in which the outcome is covered is listed in (parentheses) after the outcome.  Reading the chapter, attending class, working through the assigned exercises, and participating in related class activities and assignments will provide the resources needed to meet these learning outcomes.

  • Measure angles in degrees and radians, and relate them to arc length (5)
  • Solve problems involving right triangles and unit circles utilizing the definitions of the trigonometric functions. (5, 6)
  • Solve problems involving non-right triangles (8)
  • Relate the equation of a trigonometric function to its graph (6, 7)
  • Solve trigonometric equations using inverse trig functions. (6)
  • Prove trigonometric identities (5, 7)
  • Solve trig equations involving identities (7)
  • Relate coordinates and equations in Polar form to coordinates and equations in Cartesian form. (8)
  • Perform operations with vectors and use them to solve problems. (8)
  • Relate equations and graphs in Parametric form to equations and graphs in Cartesian form (8)
  • Link graphical, numeric, and symbolic approaches when interpreting situations and analyzing problems. (5-8)
  • Write clear, correct, and complete solutions to mathematical problems utilizing proper mathematical notation and appropriate language. (5-8)
  • Participate actively and responsibly in all course activities. 
  • Communicate the difference between an exact and an approximate solution and determine which is more appropriate for a given problem.  (5-8)