,A SURVEY OF MATHEMATICS WITH APPLICATIONS 9TH
EDITION BY ALLEN R. ANGEL, CHRISTINE D. ABBOTT,
DENNIS C. RUNDE SOLUTIONS MANUAL
Table of Contents
CHAPTER 1 CRITICAL THINKING SKILLS
1.1 Inductive Reasoning 1
1.2 Estimation 3
1.3 Problem Solving 5
Review Exercises 12
Chapter Test 14
Group Projects 16
CHAPTER 2 SETS
2.1 Set Concepts 17
2.2 Subsets 19
2.3 Venn Diagrams and Set Operations 21
2.4 Venn Diagrams With Three Sets and Verification of Equality of Sets 27
2.5 Applications of Sets 37
2.6 Infinite Sets 40
Review Exercises 41
Chapter Test 44
Group Projects 46
CHAPTER 3 LOGIC
3.1 Statements and Logical Connectives 47
3.2 Truth Tables for Negation, Conjunction, and Disjunction 49
3.3 Truth Tables for the Conditional and Biconditional 56
3.4 Equivalent Statements 64
3.5 Symbolic Arguments 73
3.6 Euler Diagrams and Syllogistic Arguments 80
3.7 Switching Circuits 82
Review Exercises 85
Chapter Test 92
Group Projects 94
CHAPTER 4 SYSTEMS OF NUMERATION
4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 95
4.2 Place-Value or Positional-Value Numeration Systems 98
4.3 Other Bases 101
4.4 Computation in Other Bases 108
4.5 Early Computational Methods 111
Review Exercises 115
Chapter Test 119
Group Projects 121
CHAPTER 5 NUMBER THEORY AND THE REAL NUMBER SYSTEM
5.1 Number Theory 123
5.2 The Integers 127
5.3 The Rational Numbers 129
5.4 The Irrational Numbers and the Real Number System 135
5.5 Real Numbers and Their Properties 138
,5.6 Rules of Exponents and Scientific Notation 140
5.7 Arithmetic and Geometric Sequences 144
5.8 Fibonacci Sequence 148
Review Exercises 150
Chapter Test 153
Group Projects 153
, CHAPTER 6 ALGEBRA, GRAPHS, AND FUNCTIONS
6.1 Order of Operations 155
6.2 Linear Equations in One Variable 157
6.3 Formulas 166
6.4 Applications of Linear Equations in One Variable 176
6.5 Variation 182
6.6 Linear Inequalities 187
6.7 Graphing Linear Equations 193
6.8 Linear Inequalities in Two Variables 203
6.9 Solving Quadratic Equations by Using Factoring and by Using
the Quadratic Formula 209
6.10 Functions and Their Graphs 215
Review Exercises 226
Chapter Test 238
Group Projects 241
CHAPTER 7 SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
7.1 Systems of Linear Equations 243
7.2 Solving Systems of Equations by the Substitution and Addition
Methods 250
7.3 Matrices 257
7.4 Solving Systems of Equations by Using Matrices 265
7.5 Systems of Linear Inequalities 268
7.6 Linear Programming 271
Review Exercises 275
Chapter Test 280
Group Projects 283
CHAPTER 8 THE METRIC SYSTEM
8.1 Basic Terms and Conversions Within the Metric System 285
8.2 Length, Area, and Volume 286
8.3 Mass and Temperature 288
8.4 Dimensional Analysis and Conversions to and from the Metric System 290
Review Exercises 295
Chapter Test 297
Group Projects 298
CHAPTER 9 GEOMETRY
9.1 Points, Lines, Planes, and Angles 301
9.2 Polygons 305
9.3 Perimeter and Area 310
9.4 Volume and Surface Area 314
9.5 Transformational Geometry, Symmetry, and Tessellations 318
9.6 Topology 322
9.7 Non-Euclidean Geometry and Fractal Geometry 323
Review Exercises 325
Chapter Test 329
Group Projects 330
CHAPTER 10 MATHEMATICAL SYSTEMS
10.1 Groups 331
10.2 Finite Mathematical Systems 332
10.3 Modular Arithmetic 336
Review Exercises 340
Chapter Test 343
Group Projects 345
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