ModelCourses/Trigonometry

Model MAA WebWork Course - Trigonometry

Subject matter

• The development of trigonometric formulas starting with angles in degrees.
• Right triangles
• Radians and the unit circle formulation
• Standard applications and formulas

Problem Syllabus and Problem sets

• Unit 1 - Definition of Trigonometric Functions using Degrees
  • Angles and Triangles
  • Trig functions of Angles in standard position
  • Basic Trig Identities and using Calculators

File:Set Model Trig Unit01.tgz.txt

• Unit 2 - Right Triangle Trigonometry
  • Trig Functions and Right Triangles
  • Basic Applications of Trig Functions

File:Set Model Trig Unit02.tgz.txt

• Unit 3 - Radian measure and Trigonometric Functions on the Unit Circle
  • Radian Measure and Reference Angles
  • Trig Functions and the Unit Circle

File:Set Model Trig Unit03.tgz.txt

• Unit 4 - Graphs of Trig Functions
  • Graphs of Trig Functions
  • More Application of Trig Functions
  • Inverse Trig functions

File:Set Model Trig Unit04.tgz.txt

• Unit 5 - Identities and Trig Formulas
  • Sum and Difference Identities
  • Product and other Identities

File:Set Model Trig Unit05.tgz.txt

• Unit 6 - Trigonometric Equations
  • Equations involving a Single Angle
  • Equations involving Multiple Angles

File:Set Model Trig Unit06.tgz.txt

• Unit 7 - General Triangle Trigonometry
  • Law of Sines with Applications
  • Law of Cosines with Applications

File:Set Model Trig Unit07.tgz.txt

• Unit 8 - Trigonometry with Complex Numbers and Polar Coordinates
  • Complex numbers and Trigonometry
  • Polar Coordinates
  • Parametric Equations
  • Conic Sections

File:Set Model Trig Unit08.tgz.txt

Course Downloads

The Entire Collection of set definitions, set headers and non-NPL problems - File:Set Trig Model Course.tgz.txt

The non-NPL problems and associated unit set headers - File:Local.trig.tgz.txt

Active version of this course - Login to "model_trig" as "Guest" to try these out.

Readings

A few selected reading/research projects are included as special homework problems in the model course homework sets. Each of these projects are completely defined and include a few numerical questions to encourage the students to start their information search. Correctly answering these numerical questions give complete credit for the "homework" problems but the paper submitted later would be expected to be somewhat more extensive. It is not expected that the papers will be exhaustive but more like a web search and compilation with perhaps some examples. If an instructor does not want to pursue written work, these problems can be deleted without detracting from the problem syllabus.

• Historical look into the development of the Pythagorean Theorem and focus on real-life applications.
• Investigation into nautical miles and the relationship to angular measure, surface distance and applications.