Snow / Kolman / Shapiro Study Guide for College Algebra

1. Auflage 2014
ISBN: 978-1-4832-7711-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 176 Seiten, Web PDF

Study Guide for College Algebra is a supplemental material for the basic text, College Algebra. Its purpose is to make the learning of college algebra and trigonometry easier and enjoyable. The book provides detailed solutions to exercises found in the text. Students are encouraged to use the study guide as a learning tool during the duration of the course, a reviewer prior to an exam, a reference book, and as a quick overview before studying a section of the text. The Study Guide and Solutions Manual consists of four major components: basic concepts that should be learned from each unit, what was learned upon completion of each unit, solutions to selected problems, and a short chapter quiz, including the answers, covering the concepts and problem types. College level students will find the book very useful.

Autoren/Hrsg.

Snow, James W.

Kolman, Bernard

Shapiro, Arnold

Inhaltsverzeichnis

1;Front Cover;1
2;Study Guide for College Algebra;2
3;Copyright Page;3
4;Table of Contents;6
5;PREFACE;4
6;CHAPTER 1. The Foundations of Algebra;8
6.1;Section 1.1 The Real Number System;8
6.2;Section 1.2 Real Number Line;9
6.3;Section 1.3 Polynomials;10
6.4;Section 1.4 Factoring;12
6.5;Section 1.5 Rational Expressions;14
6.6;Section 1.6 Integer Exponents;16
6.7;Section 1.7 Rational Exponents and Radicals;18
6.8;Section 1,8 Complex Numbers;20
6.9;Chapter 1 - A SHORT QUIZ;23
7;CHAPTER 2. Equations and Inequalities;27
7.1;Section 2.1 Linear Equations in One Unknown;27
7.2;Section 2.2 Applications;29
7.3;Section 2.3 Linear Inequalities;31
7.4;Section 2.4 Absolute Value in Equations and Inequalities;34
7.5;Section 2.5 The Quadratic Equation;36
7.6;Section 2.6 Applications - Quadratic Equations;41
7.7;Section 2.7 Second Degree Inequalities;43
7.8;Chapter 2 - A SHORT QUIZ;47
8;CHAPTER 3. Functions;50
8.1;Section 3.1 Rectangular Coordinate Systems;50
8.2;Section 3.2 Functions and Function Notation;54
8.3;Section 3.3 Graphs of Functions;56
8.4;Section 3.4 Linear Functions;59
8.5;Section 3.5 Direct and Inverse Variation;62
8.6;Section 3.6 Combining Functions; Inverse Functions;63
8.7;Chapter 3 - A SHORT QUIZ;68
9;CHAPTER 4. Exponential and Logarithmic Functions;71
9.1;Section 4.1 Exponential Functions;71
9.2;Section 4.2 Logarithmic Functions;74
9.3;Section 4.3 Properties of Logarithms;76
9.4;Section 4.4 Computing with Logarithms
(Optional);79
9.5;Section 4.5 Exponential and Logarithmic Equations;81
9.6;Chapter 4 - A SHORT QUIZ;84
10;CHAPTER 5. Analytic Geometry: The Conic Sections;86
10.1;Section 5.1 Analytic Geometry;86
10.2;Section 5.2 The Circle;88
10.3;Section 5.3 The Parabola;90
10.4;Section 5.4 The Ellipse and Hyperbola;92
10.5;Section 5.5 Identifying the Conic Sections;97
10.6;Chapter 5 - A SHORT QUIZ;100
11;CHAPTER 6. Systems of Equations and Inequalities;102
11.1;Section 6.1 Systems of Linear Equations;102
11.2;Section 6.2 Solving by Elimination;104
11.3;Section 6.3 Applications;106
11.4;Section 6.4 Systems of Linear Equations in Three Unknowns;109
11.5;Section 6.5 Systems Involving Non-Linear Equations;113
11.6;Section 6.6 Systems of Linear Inequalities in Two Variables;115
11.7;Chapter 6 - A SHORT QUIZ;123
12;CHAPTER 7. Matrices and Determinants;126
12.1;Section 7.1 Matrices and Linear Systems;126
12.2;Section 7.2 Matrix Operations and Applications;129
12.3;Section 7.3 Inverses to Matrices;133
12.4;Section 7.4 Determinants and Cramer's Rule;139
12.5;Chapter 7 - A SHORT QUIZ;145
13;CHAPTER 8. Roots of Polynomials;147
13.1;Section 8.1 Polynomial Division and Synthetic Division;147
13.2;Section 8.2 The Remainder and Factor Theorems;148
13.3;Section 8.3 Factors and Roots;151
13.4;Section 8.4 Real and Rational Roots;155
13.5;Chapter 8 - A SHORT QUIZ;160
14;CHAPTER 9. Topics in Algebra;161
14.1;Section 9.1 Arithmetic Progressions;161
14.2;Section 9.2 Geometrie Progressions;163
14.3;Section 9.3 Mathematical Induction;165
14.4;Section 9.4 The Binomial Theorem;168
14.5;Section 9.5 Counting: Permutations and Combinations;170
14.6;Section 9.6 Probability;172
14.7;Chapter 9 - A SHORT QUIZ;176