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Prepare yourself for the Pretest by looking at the Chapters 1 - 6 Review Sheets 
(If you need help on these topics look under the PreCalculus Resources tab. I have prepared some applets and videos for you).

ch._1_review.doc
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ch._2_review.doc
File Size: 461 kb
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ch._3_review.doc
File Size: 60 kb
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ch._4_review.doc
File Size: 235 kb
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ch._5_review.doc
File Size: 134 kb
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ch._6_review.doc
File Size: 69 kb
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ch._7_review.doc
File Size: 90 kb
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ch._8_review.doc
File Size: 46 kb
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ch._9_review.doc
File Size: 355 kb
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ch._10_review.doc
File Size: 64 kb
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ch._11_review.doc
File Size: 247 kb
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ch._12_review.doc
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ch._13_review.doc
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ch._14_review.doc
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1st Semester

Chapter 1 Graphs

1.1  Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

1.2  Intercepts; Symmetry; Graphing Key Equations

1.3  Solving Equations Using a Graphing Utility

1.4  Lines

1.5  Circles



Chapter 2  Functions and Their Graphs

2.1 Functions

2.2 The Graph of a Function

2.3 Properties of Functions

2.4 Library of Functions; Piecewise-defined Functions

2.5 Graphing Techniques: Transformations

2.6 Mathematical Models: Building Functions



Chapter 3  Linear and Quadratic Functions

3.1 Linear Functions, Their Properties, and Linear Models

3.2 Building Linear Models from Data; Direct Variation

3.3 Quadratic Functions and Their Properties

3.4 Building Quadratic Models from Verbal Descriptions and Data

3.5 Inequalities Involving Quadratic Functions



Chapter 4  Polynomial and Rational Functions

4.1 Polynomial Functions and Models

4.2 Properties of Rational Functions

4.3 The Graph of a Rational Function

4.4 Polynomial and Rational Inequalities

4.5 The Real Zeros of a Polynomial Function

4.6 Complex Zeros; Fundamental Theorem of Algebra



Chapter 5  Exponential and Logarithmic Functions

5.1 Composite Functions

5.2 One-to-One Functions; Inverse Functions

5.3 Exponential Functions

5.4 Logarithmic Functions

5.5 Properties of Logarithms

5.6 Logarithmic and Exponential Equations

5.7 Financial Models

5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

5.9 Building Exponential, Logarithmic, and Logistic Models from Data



Chapter 6 Trigonometric Functions

6.1 Angles and Their Measure

6.2 Trigonometric Functions: Unit Circle Approach

6.3 Properties of the Trigonometric Functions

6.4 Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

6.6 Phase Shift; Building Sinusoidal Models



Chapter 7 Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions

7.2 The Inverse Trigonometric Functions (Continued)

7.3 Trigonometric Identities

7.4 Sum and Difference Formulas

7.5 Double-angle and Half-angle Formulas

7.6 Product-to-Sum and Sum-to-Product Formulas

7.7 Trigonometric Equations (I)

7.8 Trigonometric Equations (II)


2nd Semester
Chapter 8  Applications of Trigonometric Functions

8.1 Applications Involving Right Triangles

8.2 The Law of Sines

8.3 The Law of Cosines

8.4 Area of a Triangle

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves



Chapter 9  Polar Coordinates; Vectors

9.1 Polar Coordinates

9.2 Polar Equations and Graphs

9.3 The Complex Plane; DeMoivre’s Theorem

9.4 Vectors

9.5 The Dot Product

9.6 Vectors in Space

9.7 The Cross Product



Chapter 10  Analytic Geometry

10.1 Conics

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

10.5 Rotation of Axes; General Form of a Conic

10.6 Polar Equations of Conics

10.7 Plane Curves and Parametric Equations



Chapter 11  Systems of Equations and Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination

11.2 Systems of Linear Equations: Matrices

11.3 Systems of Linear Equations: Determinants

11.4 Matrix Algebra

11.5 Partial Fraction Decomposition

11.6 Systems of Nonlinear Equations

11.7 Systems of Inequalities

11.8 Linear Programming



Chapter 12 Sequences; Induction; the Binomial Theorem

12.1 Sequences

12.2 Arithmetic Sequences

12.3 Geometric Sequences; Geometric Series

12.4 Mathematical Induction

12.5 The Binomial Theorem



Chapter 13  Counting and Probability

13.1 Counting

13.2 Permutations and Combinations

13.3 Probability



Chapter 14  A Preview of Calculus: The Limit, Derivative, and Integral of a Function

14.1 Finding Limits Using Tables and Graphs

14.2 Algebra Techniques for Finding Limits

14.3 One-side Limits; Continuous Functions

14.4 The Tangent Problem; The Derivative

14.5 The Area Problem; The Integral