COURSE SYLLABI FOR MATHEMATICS
Math 1316 “Trigonometry”
Course Syllabus
Trigonometry by : Lial, Hornsby and Schneider (Eighth Edition)
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Math 1316 “Trigonometry” Course Syllabus |
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| Section |
Topics |
Suggested Exercises |
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Chapter 1: Trigonometric Functions |
|
| 1.3 |
Trigonometric functions |
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| 1.4 |
Using the Definitions of the Trigonometric
Functions |
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Chapter 2: Acute Angles and Right Triangles |
|
| 2.1 |
Trigonometric Functions of Acute Angles |
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| 2.2 |
Trigonometric Functions of Non-Acute Angles |
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| 2.3 |
Finding Trigonometric Function Values Using a
Calculator |
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| 2.4 |
Solving Right Triangles |
|
| 2.5 |
Further Applications of Right Triangles |
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Chapter 3: Radian Measure and Circular
Functions |
|
| 3.1 |
Radian Measure |
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| 3.2 |
Application of Radian Measure |
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| 3.3 |
The Unit Circle and Circular Functions |
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| 3.4 |
Linear and Angular Speed |
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Chapter 4: Graphs of the Circular Functions |
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| 4.1 |
Graphs of the Sine and Cosine Functions |
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| 4.2 |
Translations of the Graphs of the Sine and Cosine
Functions |
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| 4.3 |
Graphs of the Other Circular Functions |
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|
| 5.1 |
Fundamental Identities |
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| 5.2 |
Verifying Trigonometric Identities |
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| 5.3 |
Sum and Difference Identities for Cosine |
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| 5.4 |
Sum and Difference Identities for Sine and
Tangent |
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| 5.5 |
Double-Angle Identities |
|
| 5.6 |
Half-Angle Identities |
|
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Chapter 6: Inverse Circular Functions and
Trigonometric Equations |
|
| 6.1 |
Inverse Circular Functions |
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| 6.2 |
Trigonometric Equations I |
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| 6.3 |
Trigonometric Equations II |
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| 6.4 |
Equations with Inverse Trigonometric Functions |
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Chapter 7: Applications of Trigonometry and
Vectors |
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| 7.1 |
Oblique Triangles and the Law of Sines |
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| 7.2 |
The Ambiguous Case of the Law of Sines |
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| 7.3 |
The Law of Cosines |
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| 7.4 |
Vectors, Ope ration , and the Dot Product |
|
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Optional Sections |
|
| 1.1 |
Angles |
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| 1.2 |
Angle Relationship and Similar Triangles |
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| 7.5 |
Applications of Vectors |
|
| 8.1 |
Complex numbers |
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| 8.2 |
Trigonometric (Polar) Form of Complex numbers |
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| 8.3 |
The Product and Quotient Theorems |
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| 8.4 |
De Moivre’s Theorem; Powers and Roots of Complex
Numbers |
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| 8.5 |
Polar Equations and Graphs |
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MATH 1324
Introductory Mathematical Analysis for Business, Economics, and the Life and
Social Sciences, 11th ed. by Haeussler, Paul, & Wood
| Date |
Section |
Topic |
As signment |
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1.1 |
Applications of Equations |
|
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4.1 |
Exp onential Functions |
|
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4.2 |
Logarithmic Functions |
|
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4.3 |
Properties of Logarithms |
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4.4 |
Logarithmic & Exponential Equations |
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5.1 |
Compound Interest |
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5.2 |
Present Value |
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5.3 |
Annuities |
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5.4 |
Amortization of Loans |
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6.4 |
Solving Systems by Reducing Matrices |
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6.5 |
Solving Systems by Reducing Matrices |
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7.1 |
Linear Inequalities in Two Variables |
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7.2 |
Linear Programming |
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7.3 |
Multiple Optimum Solutions (optional) |
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7.4 |
Simplex Method |
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7.5 |
Degeneracy, Unbounded Solutions, and Multiple
Optimum Solutions |
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7.6 |
Artificial Variables (optional) |
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7.7 |
Minimization (optional) |
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7.8 |
Dual (optional) |
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8.1 |
Basic Counting Principle |
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8.2 |
Combinations and Other Counting Principles |
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8.3 |
Sample Spaces and Events |
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8.4 |
Probability |
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9.2 |
Binomial Distribution |
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