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 NonAcute 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 
DoubleAngle Identities 

5.6 
HalfAngle 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, 11^{th} ed. by Haeussler, Paul, & Wood