COURSE SYLLABI FOR MATHEMATICS
Math 1316 “Trigonometry”
Course Syllabus
Trigonometry by : Lial, Hornsby and Schneider (Eighth Edition)
| |
Math 1316 “Trigonometry” Course Syllabus |
|
| Section |
Topics |
Suggested Exercises |
| |
Chapter 1: Trigonometric Functions |
|
| 1.3 |
Trigonometric functions |
|
| 1.4 |
Using the Definitions of the Trigonometric
Functions |
|
| |
Chapter 2: Acute Angles and Right Triangles |
|
| 2.1 |
Trigonometric Functions of Acute Angles |
|
| 2.2 |
Trigonometric Functions of Non-Acute Angles |
|
| 2.3 |
Finding Trigonometric Function Values Using a
Calculator |
|
| 2.4 |
Solving Right Triangles |
|
| 2.5 |
Further Applications of Right Triangles |
|
| |
Chapter 3: Radian Measure and Circular
Functions |
|
| 3.1 |
Radian Measure |
|
| 3.2 |
Application of Radian Measure |
|
| 3.3 |
The Unit Circle and Circular Functions |
|
| 3.4 |
Linear and Angular Speed |
|
| |
Chapter 4: Graphs of the Circular Functions |
|
| 4.1 |
Graphs of the Sine and Cosine Functions |
|
| 4.2 |
Translations of the Graphs of the Sine and Cosine
Functions |
|
| 4.3 |
Graphs of the Other Circular Functions |
|
| |
|
|
| 5.1 |
Fundamental Identities |
|
| 5.2 |
Verifying Trigonometric Identities |
|
| 5.3 |
Sum and Difference Identities for Cosine |
|
| 5.4 |
Sum and Difference Identities for Sine and
Tangent |
|
| 5.5 |
Double-Angle Identities |
|
| 5.6 |
Half-Angle Identities |
|
| |
Chapter 6: Inverse Circular Functions and
Trigonometric Equations |
|
| 6.1 |
Inverse Circular Functions |
|
| 6.2 |
Trigonometric Equations I |
|
| 6.3 |
Trigonometric Equations II |
|
| 6.4 |
Equations with Inverse Trigonometric Functions |
|
| |
Chapter 7: Applications of Trigonometry and
Vectors |
|
| 7.1 |
Oblique Triangles and the Law of Sines |
|
| 7.2 |
The Ambiguous Case of the Law of Sines |
|
| 7.3 |
The Law of Cosines |
|
| 7.4 |
Vectors, Operation, and the Dot Product |
|
| |
Optional Sections |
|
| 1.1 |
Angles |
|
| 1.2 |
Angle Relationship and Similar Triangles |
|
| 7.5 |
Applications of Vectors |
|
| 8.1 |
Complex Numbers |
|
| 8.2 |
Trigonometric (Polar) Form of Complex numbers |
|
| 8.3 |
The Product and Quotient Theorems |
|
| 8.4 |
De Moivre’s Theorem; Powers and Roots of Complex
Numbers |
|
| 8.5 |
Polar Equations and Graphs |
|
MATH 1324
Introductory Mathematical Analysis for Business, Economics, and the Life and
Social Sciences, 11th ed. by Haeussler, Paul, & Wood
