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CHAPTER 1. BASIC CONCEPTS.
The Real Number System. Arithmetic and Properties of Real Numbers. Exponents. Scientific Notation. Solving Equations. Using Equations to Solve Problems. More Applications of Equations. Problems and Projects. Chapter Summary. Chapter 1 Test.
CHAPTER 2. GRAPHS, EQUATIONS OF LINES AND FUNCTIONS.
The Rectangular Coordinate System. Graphing Linear Equations. Slope of a Nonvertical Line. Writing Equations of Lines. Introductions to Functions. Graphs of Other Functions. Problems and Projects. Chapter Summary. Chapter 2 Test. Cumulative Review Exercises.
CHAPTER 3. SYSTEMS OF EQUATIONS.
Solution by Graphing. Solution by Elimination. Solutions of Three Equations in Three Variables. Solution by Matrices. Solution by Determinants. Problems and Projects. Chapter Summary. Chapter 3 Test.
CHAPTER 4. INEQUALITIES.
Linear Inequalities. Equations and Inequalities With Absolute Values. Linear Inequalities In Two Variables. Systems of Inequalities. Linear Programming. Problems and Projects. Chapter Summary. Chapter 4 Test. Cumulative Review Exercises.
CHAPTER 5. POLYNOMIALS AND POLYNOMIAL FUNCTIONS.
Polynomials and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares; The Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Problems and Projects. Chapter Summary. Chapter 5 Test.
CHAPTER 6. RATIONAL EXPRESSIONS.
Rational Functions and Simplifying Rational Expressions. Proportions and Variation. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Equations Containing Radical Equations. Dividing Polynomials. Problems and Projects. Chapter Summary. Chapter 6 Test. Cumulative Review Exercises.
CHAPTER 7. RATIONAL EXPONENTS AND RADICALS.
Radical Expressions. Applications of Radicals. Radical Equations. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Problems and Projects. Chapter Summary. Chapter 7 Test.
CHAPTER 8. QUADRATIC FUNCTIONS AND INEQUALITIES.
Completing the Square and the Quadratic Formula. Graphs of Quadratic Functions. Complex Numbers. The Discriminant and Equations That Can Be Written In Quadratic Form. Quadratic and Other Nonlinear Inequalities. Problems and Projects. Chapter Summary. Chapter 8 Test. Cumulative Review Exercises.
CHAPTER 9. MORE FUNCTIONS AND OPERATIONS ON FUNCTIONS.
Symmetries and Stretchings of Graphs. Piecewise-Defined Functions and Step Functions. More Rational Functions. Partial Fractions. Algebra and Composition of Functions. Inverses of Functions. Problems and Projects. Chapter Summary. Chapter 9 Test.
CHAPTER 10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Problems and Projects. Chapter Summary. Chapter 10 Test. Cumulative Review Exercises.
CHAPTER 11. SOLVING POLYNOMIAL EQUATIONS.
The Remainder and Factor Theorems; Synthetic Division. Descartes'' Rule of Signs and Bounds On Roots. Rational Roots of Polynomial Equations. Irrational Roots of Polynomial Equations. Problems and Projects. Chapter Summary. Chapter 11 Test.
CHAPTER 12. CONIC SECTIONS AND QUADRATIC SYSTEMS.
The Circle. The Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second- Degree Equations. Problems and Projects.Chapter Summary. Chapter12 Test. Cumulative Review Exercises.
CHAPTER 13. NATURAL NUMBER FUNCTIONS AND PROBABILITY.
The Binomial Theorem. Sequences, Series and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. Computation of Compound Probabilities. Odds and Mathematical Expectation. Problems and Projects. Chapter Summary. Chapter 11 Test. Cumulative Review Exercises.
APPENDIX I: MATRIX ALGEBRA.
APPENDIX II: TABLES.
APPENDIX III: ANSWERS TO SELECTED EXERCISES.
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