Snow / Kolman / Shapiro Study Guide for College Algebra and Trigonometry

1. Auflage 2014
ISBN: 978-1-4832-7704-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 238 Seiten, Web PDF

Study Guide for College Algebra and Trigonometry is a supplement material to the basic text, College Algebra and Trigonometry. It is written to assist the student in learning mathematics effectively. The book provides detailed solutions to exercises found in the text. Students are encouraged to use these solutions to find a way to approach a problem. 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. Students of algebra and trigonometry in the college level 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 and Trigonometry;4
3;Copyright Page;5
4;Table of Contents;8
5;PREFACE;6
6;CHAPTER 1. The Foundations of Algebra;10
6.1;Section 1.1 The Real Number System;10
6.2;Section 1.2 Real Number Line;11
6.3;Section 1.3 Polynomials;12
6.4;Section 1.4 Factoring;14
6.5;Section 1.5 Rational Expressions;16
6.6;Section 1.6 Integer Exponents;18
6.7;Section 1.7 Rational Exponents and Radicals;20
6.8;Section 1.8 Complex Numbers;22
6.9;Chapter 1 - A SHORT QUIZ;25
7;CHAPTER 2. Equations and Inequalities;29
7.1;Section 2.1 Linear Equations in One Unknown;29
7.2;Section 2.2 Applications;31
7.3;Section 2.3 Linear Inequalities;33
7.4;Section 2.4 Absolute Value in Equations and Inequalities;36
7.5;Section 2.5 The Quadratic Equation;38
7.6;Section 2.6 Applications - Quadratic Equations;43
7.7;Section 2.7 Second Degree Inequalities;45
7.8;Chapter 2 - A SHORT QUIZ;50
8;CHAPTER 3. Functions;52
8.1;Section 3.1 Rectangular Coordinate Systems;52
8.2;Section 3.2 Functions and Function Notation;56
8.3;Section 3.3 Graphs of Functions;58
8.4;Section 3.4 Linear Functions;61
8.5;Section 3.5 Direct and Inverse Variation;64
8.6;Section 3.6 Combining Functions; Inverse Functions;65
8.7;Chapter 3 - A SHORT QUIZ;70
9;CHAPTER 4. Exponential and Logarithmic Functions;73
9.1;Section 4.1 Exponential Functions;73
9.2;Section 4.2 Logarithmic Functions;76
9.3;Section 4.3 Properties of Logarithms;78
9.4;Section 4.4 Computing with Logarithms (Optional);81
9.5;Section 4.5 Exponential and Logarithmic Equations;83
9.6;Chapter 4 - A SHORT QUIZ;86
10;CHAPTER 5. Trigonometry: The Circular Functions;88
10.1;Section 5.1 The Wrapping Function;88
10.2;Section 5.2 The Sine, Cosine, and Tangent Functions;90
10.3;Section 5.3 Graphs of Sine, Cosine, and Tangent;92
10.4;Section 5.4 Variation of Sine, Cosine, and Tangent;95
10.5;Section 5.5 GRAPHS: Amplitude, Period, and Phase Shift;96
10.6;Section 5.6 Secant, Cosecant, and Cotangent;99
10.7;Section 5.7 The Inverse Trigonometric Functions;101
10.8;Chapter 5 - A SHORT QUIZ;104
11;CHAPTER 6. Angles and Triangles;107
11.1;Section 6.1 Angles and Their Measurement;107
11.2;Section 6.2 Trigonometric Functions of Angles;109
11.3;Section 6.3 Right Triangle Trigonometry;110
11.4;Section 6.4 Law of Cosines;113
11.5;Section 6.5 Law of Sines;115
11.6;Chapter 6 - A SHORT QUIZ;120
12;CHAPTER 7. Analytic Trigonometry;123
12.1;Section 7.1 Trigonometric Identities;123
12.2;Section 7.2 The Addition Formulas;127
12.3;Section 7.3 Double- and Half-Angle Formulas;131
12.4;Section 7.4 The Product-Sum Formulas;134
12.5;Section 7.5 Trigonometric Equations;136
12.6;Section 7.6 Trigonometry and Complex Numbers;140
12.7;Chapter 7 - A SHORT QUIZ;146
13;CHAPTER 8. Analytic Geometry: The Conic Sections;149
13.1;Section 8.1 Analytic Geometry;149
13.2;Section 8.2 The Circle;151
13.3;Section 8.3 The Parabola;153
13.4;Section 8.4 The Ellipse and Hyperbola;155
13.5;Section 8.5 Identifying the Conic Sections;160
13.6;Chapter 8 - A SHORT QUIZ;163
14;CHAPTER 9. Systems of Equations and Inequalities;165
14.1;Section 9.1 Systems of Linear Equations;165
14.2;Section 9.2 Solving by Elimination;167
14.3;Section 9.3 Applications;169
14.4;Section 9.4 Systems of Linear Equations in Three Unknowns;172
14.5;Section 9.5 Systems Involving Non-Linear Equations;176
14.6;Section 9.6 Systems of Linear Inequalities in Two Variables;178
14.7;Chapter 9 - A SHORT QUIZ;186
15;CHAPTER 10. Matrices and Determinants;189
15.1;Section 10.1 Matrices and Linear Systems;189
15.2;Section 10.2 Matrix Operations and Applications;192
15.3;Section 10.3 Inverses of Matrices;196
15.4;Section 10.4 Determinants and Cramer's Rule;202
15.5;Chapter 10 - A SHORT QUIZ;208
16;CHAPTER 11. Roots of Polynomials;210
16.1;Section 11.1 Polynomial Division and Synthetic Division;210
16.2;Section 11.2 The Remainder and Factor Theorems;211
16.3;Section 11.3 Factors and Roots;214
16.4;Section 11.4 Real and Rational Roots;218
16.5;Chapter 11 - A SHORT QUIZ;222
17;CHAPTER 12. Topics in Algebra;224
17.1;Section 12.1 Arithmetic Progressions;224
17.2;Section 12.2 Geometric Progressions;226
17.3;Section 12.3 Mathematical Induction;228
17.4;Section 12.4 The Binomial Theorem;231
17.5;Section 12.5 Counting: Permutations and Combinations;233
17.6;Section 12.6 Probability;235
17.7;Chapter 12 - A SHORT QUIZ;238