Blitzer: Precalculus

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p: Prerequisites: Fundamental Concepts of Algebra

p.1: Algebraic Expressions, Mathematical Models, and Real Numbers

 Using Algebraic Expressions

p.2: Exponents and Scientific Notation

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions
 Unit Conversions 2 - Scientific Notation and Significant Digits

p.4: Polynomials

 Addition and Subtraction of Polynomials
 Addition of Polynomials - Activity A

p.5: Factoring Polynomials

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

p.7: Equations

 Using Algebraic Equations

p.9: Linear Inequalities and Absolute Value Inequalities

 Compound Inequalities
 Inequalities Involving Absolute Values
 Linear Inequalities in Two Variables - Activity A

1: Functions and Graphs

 Points, Lines, and Equations

1.2: Basics of Functions and Their Graphs

 Cubic Function Activity

1.4: Linear Functions and Slope

 Linear Functions
 Slope - Activity A
 Slope-Intercept Form of a Line - Activity A

1.6: Transformations of Functions

 Translating and Scaling Functions

1.8: Inverse Functions

 Function Machines 3 (Functions and Problem Solving)

1.9: Distance and Midpoint Formulas; Circles

 Distance Formula - Activity A

1.10: Modeling with Functions

 Zap It! Game

2: Polynomials and Rational Functions

 Cubic Function Activity
 General Form of a Rational Function
 Rational Functions

2.2: Quadratic Functions

 Quadratic Functions

2.3: Polynomial Functions and Their Graphs

 Cubic Function Activity
 Fourth-Degree Polynomials - Activity A

2.4: Dividing Polynomials; Remainder and Factor Theorems

 Dividing Polynomials Using Synthetic Division
 Polynomials and Linear Factors

2.5: Zeros of Polynomial Functions

 Points, Lines, and Equations

2.6: Rational Functions and Their Graphs

 General Form of a Rational Function
 Rational Functions

3: Exponential and Logarithmic Functions

3.1: Exponential Functions

 Exponential Functions - Activity A

3.2: Logarithmic Functions

 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling

3.5: Exponential Growth and Decay; Modeling Data

 Exponential Growth and Decay - Activity A

4: Trigonometric Functions

4.2: Trigonometric Functions: The Unit Circle

 Unit Circle

4.5: Graphs of Sine and Cosine Functions

 Cosine Function
 Sine Function

5: Analytic Trigonometry

5.1: Verifying Trigonometric Identities

 Simplifying Trigonometric Expressions

5.2: Sum and Difference Formulas

 Sum and Difference Identities for Sine and Cosine

6: Additional Topics in Trigonometry

6.5: Complex Numbers in Polar Form; DeMoivre's Theorem

 Complex Numbers in Polar Form

6.6: Vectors


7: Systems of Equations and Inequalities

7.1: Systems of Linear Equations in Two Variables

 Systems of Linear Equations - Activity A

7.5: Systems of Inequalities

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

7.6: Linear Programming

 Linear Programming - Activity A

8: Matrices and Determinants

8.2: Inconsistent and Dependent Systems and Their Applications

 Special Types of Solutions to Linear Systems

9: Conic Sections and Analytic Geometry

9.1: The Ellipse

 Ellipse - Activity A

9.2: The Hyberola

 Hyperbola - Activity A

9.3: The Parabola

 Parabolas - Activity A

10: Sequences, Induction, and Probability

10.2: Arithmetic Sequences

 Arithmetic Sequences

10.3: Geometric Sequences

 Geometric Sequences

10.6: Counting Principles, Permutations, and Combinations

 Permutations and Combinations

10.7: Probability

 Compound Independent Events
 Compound Independent and Dependent Events
 Probability Simulations

Content correlation last revised: 4/4/2013