Precalculus WIth Limits

• Author(s): Larson et. al.     Publisher: Houghton Mifflin 2001
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Chapter P: Prerequisites

P.1. Graphical Representation of Data

Line Plots

Constructing Box-and-Whisker Plots

Histograms

Stem-and-Leaf Plots

Scatter Plots - Activity A

P.2. Graphs of Equations

Points in the Coordinate Plane - Activity A

P.3. Lines in the Plane

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

Point-Slope Form of a Line - Activity A

P.4. Solving Equations Algebraically and Graphically

Slope-Intercept Form of a Line - Activity A

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Modeling the Factorization of ax2+bx+c

Modeling the Factorization of x2+bx+c

P.5. Solving Inequalities Algebraically and Graphically

Solving Inequalities Using Multiplication and Division

Solving Linear Inequalities using Addition and Subtraction

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Chapter 1: Functions and Their Graphs

1.1. Functions

Linear Functions

Introduction to Functions

1.2. Graphs of Functions

Fourth-Degree Polynomials - Activity A

Quadratics in Polynomial Form - Activity A

Functions Involving Square Roots

1.3. Shifting, Reflecting, and Stretching Graphs

Rotations, Reflections and Translations

Translating and Scaling Functions

1.5. Inverse Functions

Logarithmic Functions - Activity A

Chapter 2: Polynomial and Rational Functions

Quadratics in Polynomial Form - Activity A

Quadratics in Vertex Form - Activity A

2.2. Polynomial Functions of Higher Degree

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

2.3. Real Zeros of Polynomial Functions

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

2.5. Rational Functions and Asymptotes

Rational Functions

General Form of a Rational Function

2.6. Graphs of Rational Functions

Rational Functions

General Form of a Rational Function

Chapter 3: Exponential and Logarithmic Functions

3.1. Exponential Functions and Their Graphs

Exponential Functions - Activity A

Exponential Growth and Decay - Activity A

3.2. Logarithmic Functions and Their Graphs

Logarithmic Functions - Activity A

3.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

Chapter 4: Trigonometric Functions

Unit Circle

4.3. Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Cosine Function

Sine Function

Tangent Function

Cosine Function

Sine Function

Tangent Function

Chapter 5: Analytic Trigonometry

5.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

5.4. Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

Chapter 6: Additional Topics in Trigonometry

Vectors

6.5. Trigonometric Form of a Complex Number

Absolute Value of a Complex Number

Chapter 7: Systems of Equations and Inequalities

7.1. Solving Systems of Equations

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Systems of Linear Equations - Activity A

7.2. Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

7.4. Systems of Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

Systems of Linear Inequalities (Standard form)

7.5. Linear Programming

Linear Programming - Activity A

Chapter 8: Matrices and Determinants

8.1. Matrices and Systems of Equations

Systems of Linear Equations - Activity A

Translations

8.4. The Determinant of a Square Matrix

Systems of Linear Equations - Activity B

Chapter 9: Sequences, Series, and Probability

9.1. Sequences and Series

Arithmetic and Geometric Sequences

9.2. Arithmetic Sequences and Partial Sums

Arithmetic Sequences

9.3. Geometric Sequences and Series

Geometric Sequences

9.6. Counting Principles

Permutations

Permutations and Combinations

9.7. Probability

Probability Simulations

Geometric Probability - Activity A

Theoretical and Experimental Probability

Chapter 10: Topics in Analytic Geometry

10.1. Introduction to Conics: Parabolas

Parabolas - Activity B

Parabola with Horizontal Directrix

10.2. Ellipses

Ellipse - Activity A

10.3. Hyperbolas

Hyperbola - Activity A

10.6 Polar Coordinates

Points in Polar Coordinates

Chapter 11: Analytic Geometry in Three Dimensions

11.4. Lines and Planes in Space

Investigating Parallel Lines and Planes

Chapter 12: Limits and an Introduction to Calculus

12.5. The Area Problem

Riemann Sum

Content correlation last revised: 6/24/2008