Pre-Calculus

Math 125 (Precalculus) Required Texts/Materials

Precalculus with Limits (Custom Edition for Hunter College, shrink-wrapped with student solution manual)
by Larson, Hostetler, & Edwards, copyright 2007, Houghton Mifflin Company.

Course Syllabus:

CHAPTER 1 Functions and Their Graphs (9+ hrs)

1.1 Rectangular Coordinates (with review of A.5 and A.6)
1.2 Graphs of Equations
1.3 Linear Equations in Two Variables
1.4 Functions
1.5 Analyzing Graphs of Functions
1.6 A Library of Parent Functions
1.7 Transformations of Functions
1.8 Combinations of Functions: Composite Functions
1.9 Inverse Functions

 

CHAPTER 2 Polynomial and Rational Functions (7+ hrs)

2.1 Quadratic Functions and Models
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial and Synthetic Division* (omit Synthetic Division)
2.4 Complex Numbers
2.5 Zeros of Polynomial Functions* (omit "Descartes's Rule of Signs"; omit "Upper and Lower Bound Rules")
2.6 Rational Functions
2.7 Nonlinear Inequalities

 

CHAPTER 3 Exponential and Logarithmic Functions (4+ hrs)

3.1 Exponential Functions and Their Graphs
3.2 Logarithmic Functions and Their Graphs
3.3 Properties of Logarithms
3.4 Exponential and Logarithmic Equations

 

CHAPTER 4 Trigonometry (8+ hrs)

4.1 Radian and Degree Measure
4.2 Trigonometric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions

 

CHAPTER 5 Analytic Trigonometry (3+ hrs)

5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Solving Trigonometric Equations

 

CHAPTER 6 Additional Topics in Trigonometry(2+ hrs)

6.1 Law of Sines
6.2 Law of Cosines

 

CHAPTER 7 Systems of Equations and Inequalities (2+ hrs)

7.1 Linear and Nonlinear Systems of Equations
7.5 Systems of Inequalities

 

CHAPTER 12 Limits and an Introduction to Calculus (3+ hrs)

12.1 Introduction to Limits
12.2 Techniques for Evaluating Limits
12.3 The Tangent Line Problem

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