Items related to Fundamentals of College Algebra: Students' Guide
Synopsis
This book should be of interest to first year undergraduates taking courses in algebra.
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Review
1. FUNDAMENTAL CONCEPTS OF ALGEBRA. Real Numbers. Exponents and Radicals. Algebraic Expressions. Fractional Expressions. Chapter 1 Review Exercises. Chapter 1 Discussion Exercises. 2. EQUATIONS AND INEQUALITIES. Equations. Applied Problems. Quadratic Equations. Complex Numbers. Other Types of Equations. Inequalities. More on Inequalities. Chapter 2 Review Exercises. Chapter 2 Discussion Exercises. 3. FUNCTIONS AND GRAPHS. Rectangular Coordinate Systems. Graphs of Equations. Lines. Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions. Chapter 3 Review Exercises. Chapter 3 Discussion Exercises. 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Polynomial Functions of Degree Greater Than 2. Properties of Division. Zeros of Polynomials. Complex and Rational Zeros of Polynomials. Rational Functions. Variation. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises. 5. INVERSE, EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Inverse Functions. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter 5 Review Exercises. Chapter 5 Discussion Exercises. 6. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Inequalities. Linear Programming. Systems of Linear Equations in More Than Two Variables. The Algebra of Matrices. Inverse of a Matrix. Determinants. Properties of Determinants. Partial Fractions. Chapter 6 Review Exercises. Chapter 6 Discussion Exercises. 7. SEQUENCES, SERIES, AND PROBABILITY. Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability. Chapter 7 Review Exercises. Chapter 7 Discussion Exercises. 8. TOPICS FROM ANALYTIC GEOMETRY. Parabolas. Ellipses. Hyperbolas. Appendix I: Common Graphs and Their Equations. Appendix II: A Summary of Graph Transformations. Answers to Selected Exercises. Index of Applications. Index.
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Fundamentals of College Algebra : Student's Solutions Manual
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