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COURSE SYLLABI FOR MATHEMATICS

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

Date Section Topic Assignment
  1.1 Applications of Equations  
  4.1 Exponential Functions  
  4.2 Logarithmic Functions  
  4.3 Properties of Logarithms  
  4.4 Logarithmic & Exponential Equations  
  5.1 Compound Interest  
  5.2 Present Value  
  5.3 Annuities  
  5.4 Amortization of Loans  
  6.4 Solving Systems by Reducing Matrices  
  6.5 Solving Systems by Reducing Matrices  
  7.1 Linear Inequalities in Two Variables  
  7.2 Linear Programming  
  7.3 Multiple Optimum Solutions (optional)  
  7.4 Simplex Method  
  7.5 Degeneracy, Unbounded Solutions, and Multiple Optimum Solutions  
  7.6 Artificial Variables (optional)  
  7.7 Minimization (optional)  
  7.8 Dual (optional)  
  8.1 Basic Counting Principle  
  8.2 Combinations and Other Counting Principles  
  8.3 Sample Spaces and Events  
  8.4 Probability  
  9.2 Binomial Distribution  
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