Palomar Logo Effective Term: Fall 2006
 
PALOMAR COLLEGE
 COURSE OUTLINE FOR CREDIT COURSE
 
  • Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
  • Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
  • Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.
 
Course Number and Title: MATH 115 Trigonometry
 

Unit Value: 3  

Lecture Hours Per Week: 3  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Grading Basis: Grade/Pass/No Pass
 
Basic Skills Requirements: Appropriate Language and/or Computational Skills.
 
Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.
Prerequisite:
A minimum grade of 'C' in MATH 56 or A minimum grade of 'C' in MATH 60 or eligibility determined through the math placement process
Corequisite:
None
Prerequisite: Completion of, or concurrent enrollment in
None
Recommended Preparation:
None
Limitation on Enrollment:
None
Catalog Description:
The trigonometric functions and their applications including emphasis on the analytical aspects, identities, and trigonometric equations.
 
Specific Course Objectives:
Upon successful completion of the course the student will be able to:
  1. Analyze trigonometric functions and equations geometrically, numerically, graphically, and analytically.
  2. Explain and synthesize trigonometric concepts.
  3. Analyze, solve and interpret solutions to trigonometric equations.
  4. Interpret and apply graphic, numeric and analytic representations of complex numbers in trigonometric form.
  5. Apply trigonometric functions to application problems and interpret results in context.
  6. Analyze, verify, and apply trigonometric identities.
 
Methods of Instruction:
Methods of Instruction may include, but are not limited to, the following:
  1. Lecture
 
Content in Terms of Specific Body of Knowledge:
  1. The trigonometric functions, including functions of any angle expressed in degrees or radians and circular functions.
  2. Graphs of the trigonometric functions, including vertical and horizontal translations and transformations.
  3. Applications of the trigonometric functions to right and oblique triangles including law of sines, law of cosines, ambiguous cases, area and vectors.
  4. Trigonometric identities, including fundamental identities, sum and difference of angles, double and half angles, and applications.
  5. Trigonometric equations and inverse functions and applications.
  6. Complex numbers including graphing complex numbers, fundamental operations, trigonometric form, DeMoivre's Theorem and applications.
  7. The polar coordinates system, including graphs of polar equations.
  8. Parametric equations and their applications.
  9. Additional topics may be included at instructor's discretion.


Textbooks/Resources:
May Include Textbooks, Manuals, Periodicals, Software, and Other Resources
  1. Aufmann, Richard N., Vernon C. Barker, an Richard D. Nation. College Trigonometry. 5th ed. Boston: Houghton Mifflin Company, 2005.
  2. Larson, Roland E., and Robert P. Hostetler, and Bruce H. Edwards. Trigonometry: A Graphing Approach. 4 ed. Boston: Houghton Mifflin Company, 2005.
Required Reading:
 
Suggested Reading:
 
Critical Thinking:
 
Required Writing:
Trigonometric problem-solving exercises on homework assignments and written tests are more appropriate. In addition, students may be required to write reports from one paragraph to several pages explaining concepts or explaining and interpreting solutions to non-routine or applied problems.
 
Outside Assignments:
Students are expected to spend a minimum of three hours per unit per week in class and on outside assignments, prorated for short-term classes.

Students are expected to read the text, study lecture notes, and complete daily homework assignments. Homework assignments may include practice solving routine problems, explaining concepts, and solving application or non-routine problems. Other outside assignments may include computer laboratory assignments, problem-solving reports or the reading of articles from scientific periodicals.
 
Methods of Assessment:
Methods of Assessment may include, but are not limited to, the following:
  • Exams/Tests
  • Group Projects
  • Homework
  • Lab Activities
  • Oral Presentation
  • Papers
  • Projects
  • Quizzes
 
Open Entry/Open Exit:
No, course is not offered as open entry/open exit.
 
Is Course Repeatable for Reason(s) Other Than Deficient Grade? No
 
Contact Person: Jay R. Wiestling