MAT 2100: Trigonometry

05/01/2024 to 05/30/2025 • Modified 04/23/2024

Course Description

This semester-long course is designed to take the student through a basic review of algebra and applicable geometry and present a detailed study of trigonometric identities. The student will study topics on graphs and functions, the law of sines and law of cosines, vectors, complex numbers, and polar coordinates. The student will explore conic sections, exponential and logarithmic functions, and inverse trigonometric functions. The subject matter will be presented through video lectures and daily practice, and students will view mathematical principles in the light of biblical truth.

Next Start Date*

Next Monday

Program Restrictions*

ESD: Elementary School Diploma (ESDP-ESD-D) Excluded
MSD: Middle School Diploma (MSDP-MSD-D) Excluded

Prerequisite Requirements*

Any of the following:

All of the following:
- MAT 1101 previously completed with a minimum grade of D
  and
- MAT 1102 previously completed with a minimum grade of D
or
All of the following:
- MAT 1101 previously completed with a minimum grade of D
  and
- MAT 1105 previously completed with a minimum grade of D
  and
- MAT 1106 previously completed with a minimum grade of D
or
All of the following:
- MAT 1102 previously completed with a minimum grade of D
  and
- MAT 1103 previously completed with a minimum grade of D
  and
- MAT 1104 previously completed with a minimum grade of D
or
All of the following:
- MAT 1103 previously completed with a minimum grade of D
  and
- MAT 1104 previously completed with a minimum grade of D
  and
- MAT 1105 previously completed with a minimum grade of D
  and
- MAT 1106 previously completed with a minimum grade of D
or
All of the following:
- MAT 1201 previously completed with a minimum grade of D
  and
- MAT 1202 previously completed with a minimum grade of D
or
All of the following:
- MAT 1201 previously completed with a minimum grade of D
  and
- MAT 1205 previously completed with a minimum grade of D
  and
- MAT 1206 previously completed with a minimum grade of D
or
All of the following:
- MAT 1202 previously completed with a minimum grade of D
  and
- MAT 1203 previously completed with a minimum grade of D
  and
- MAT 1204 previously completed with a minimum grade of D
or
All of the following:
- MAT 1203 previously completed with a minimum grade of D
  and
- MAT 1204 previously completed with a minimum grade of D
  and
- MAT 1205 previously completed with a minimum grade of D
  and
- MAT 1206 previously completed with a minimum grade of D
or
MAT 1100 previously completed with a minimum grade of D
or
MAT 1200 previously completed with a minimum grade of D

High School Diploma Requirements*

Contributes .5 credits to LUOA – Mathematics, Mathematics Requirement.

Schedule

Module 1: Polynomials, Equations, & Functions

Week 1: Exponents & Roots
Week 2: Factoring Polynomials
Week 3: Rational Expressions & Solving Equations
Week 4: Functions

Module 2: Inverse Functions, Angles, & the Unit Circle

Week 5: Transforming Functions, Combining Functions, & Inverse Functions
Week 6: Angles & Circles
Week 7: The Unit Circle & Graphing Sine & Cosine
Week 8: The Other Trigonometric Functions
Week 9: Inverse Trigonometric Functions

Module 3: Right Triangle Trigonometry & Trigonometric Identities

Week 10: Right Triangle Trigonometry
Week 11: The Trigonometric Identities
Week 12: The Sum, Difference, Double-Angle & Half-Angle Formulas

Module 4: Law of Sines & Cosines, & Vectors

Week 13: The Law of Sines & the Law of Cosines
Week 14: Vectors
Week 15: Complex Zeros & Trigonometric Form of Complex Numbers
Week 16: Polar Coordinates, Polar Equations, & Parametric Equations

Module 5: Conics

Week 17: Conic Sections
Week 18: Review & Quarter Exam

*Course specifics are tentative and subject to change each year. For the most current information, please refer to the Course Registration Tool.