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 Dependent Variable

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## Course IV Curriculum

Textbook: Blitzer, Pre-Calculus, 3rd edition, Prentice-Hall, 2007.

Chapter P: PREREQUISITES: FUNDMENTAL CONCEPTS OF ALGEBRA
Algebraic Expressions and Real Numbers; Exponents and Scientific Notation; Radicals and Rational Exponents; Polynomials; Factoring Polynomials; Rational Expressions; Equations; Modeling with Equations; Linear Inequalities and Absolute Value Inequalities

Chapter 1: FUNCTIONS AND GRAPHS
Graphs and Graphing Utilities; Basics of Functions and Their Graphs; Linear Functions and Slope; Transformations of Functions; Combinations of Functions; Composite Functions; Inverse Functions; Distance and Midpoint Formulas; Circles; Modeling with Functions

Chapter 2: POLYNOMIAL AND RATIONAL FUNCTIONS
Complex Numbers; Quadratic Functions; Polynomial Functions and Their Graphs; Dividing Polynomials; Remainder and Factor Theorems; Zeros of Polynomial Functions; Rational Functions and Their Graphs; Polynomial and Rational Inequalities; Modeling Using Variation

Chapter 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions; Logarithmic Functions; Properties of Logarithms; Exponential and Logarithmic Equations; Exponential Growth and Decay; Modeling Data

Chapter 3: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions; Logarithmic Functions; Properties of Logarithms; Exponential and Logarithmic Equations; Exponential Growth and Decay; Modeling Data

Chapter 5: ANALYTIC TRIGONOMETRY
Verifying Trigonometric Identities; Sum and Difference Formulas; Double-Angle, Power-Producing, and Half-Angle Formulas; Product-to-Sum and Sum-to-Product Formulas; Trigonometric Equations

Chapter 6: ADDITIONAL TOPICS IN TRIGONOMETRY
The Law of Sines; The Law of Cosines; Polar Coordinates; Graphs of Polar Equations; Complex Numbers in Polar Form; DeMoivre's Theorem; Vectors; The Dot Product

Chapter 7: SYSTEMS OF EQUATIONS AND INEQUALITIES
Systems of Linear Equations in Two Variables; Systems of Linear Equations in Three Variables; Partial Fractions; Systems of Nonlinear Equations in Two Variables; Systems of Inequalities; Linear Programming

Chapter 8: MATRICES AND DETERMINANTS
Matrix Solutions to Linear Systems; Inconsistent and Dependent Systems and Their Applications; Matrix Operations and Their Applications; Multiplicative Inverses of Matrices and Matrix Equations; Determinants and Cramer’s Rule

Chapter 9: CONIC SECTIONS AND ANALYTIC GEOMETRY
Parametric Equations; Conic Sections in Polar Coordinates