The Essential Guide to Algebra 2
도서명:The Essential Guide to Algebra 2
저자/출판사:유하림/헤르몬하우스
쪽수:360쪽
출판일:2023-01-31
ISBN:9791192520209
목차
Preface 2
저자 소개 3
이 책의 구성과 특징 4
Topic 1 Real Number System
1.1 Properties of Real Numbers............................................... 10
1.2 Real Number Line.............................................................. 12
1.3 Algebraic Expressions....................................................... 15
1.4 Solving Linear Equations and Word Problems................... 17
1.5 Solving Inequalities........................................................... 19
1.6 Compound Inequality........................................................ 20
1.7 Absolute Value................................................................... 21
Topic 2 Function and Linear Graph
2.1 Relation and Function........................................................ 32
2.2 Direct Variation.................................................................. 34
2.3 Linear Function and Slope-Intercept Form........................ 36
2.4 Perpendicular and Parallel Lines........................................ 39
2.5 Transformation of Linear Function.................................... 41
2.6 Absolute Value Function and Graph.................................. 43
2.7 Two-Variable Inequalities.................................................. 45
Topic 3 System of Equations and Inequalities
3.1 System of Linear Equations............................................... 58
3.2 Two Methods : Substitution and Elimination..................... 61
3.3 System of Linear Inequalities............................................ 64
3.4 Linear Programming.......................................................... 66
3.5 System of Equations in 3 Variables.................................... 70
3.6 Matrices............................................................................. 73
3.7 Multiplication of Matrix.................................................... 75
Topic 4 Quadratic Equations and Factoring
4.1 Quadratic Function............................................................ 86
4.3 Standard Form of a Quadratic Functions........................... 93
4.4 Completing the Square....................................................... 95
4.5 Quadratic Formula............................................................. 97
4.6 Complex Numbers............................................................. 99
4.7 Application of Quadratic Function and Equations............. 102
4.8 Quadratic Inequalities........................................................ 106
Topic 5 Polynomials and Polynomial Function
5.1 Classification of Polynomials............................................ 118
5.2 End-Behavior of Polynomial Function.............................. 120
5.3 The Shape of Cubic Graph................................................. 121
5.4 Table Values and Polynomial Degrees............................... 122
5.5 Finding x-intercepts........................................................... 123
5.6 Finding Zeros..................................................................... 124
5.7 Given Zeros....................................................................... 125
Topic 6 Application of Polynomials
6.1 Factorization...................................................................... 132
6.2 Long Division.................................................................... 134
6.3 Factor Theorem.................................................................. 136
6.4 Synthetic Division............................................................. 137
6.5 Rational Root Theorem...................................................... 139
6.6 Two guidelines for finding roots........................................ 141
Topic 7 Radical Expression and Radical Function
7.1 Introduction to Radicals..................................................... 148
7.2 Multiplying Radical Expressions....................................... 152
7.3 Rational Exponents............................................................ 157
7.4 Solving Radical Equations................................................. 159
7.5 Radical Function................................................................ 162
Topic 8 Rational Expression and Rational Function
8.1 Inverse Variation................................................................ 176
8.2 Graphs of Rational Functions............................................ 179
8.3 Reciprocal Function........................................................... 181
8.4 Hole or Vertical Asymptote................................................ 183
8.5 Rational Inequality............................................................. 184
8.6 Word Problems.................................................................. 185
8.7 Solving Rational Equations................................................ 186
Topic 9 Exponential and Logarithmic Expressions and Functions
9.1 Exponential Function......................................................... 198
9.2 Exponential Equation......................................................... 200
9.3 Logarithmic Function........................................................ 204
9.4 Logarithmic Equation........................................................ 205
9.5 Using Logarithm to Solve Equations................................. 209
Topic 10 Sequence and Series
10.1 Sequence............................................................................ 222
10.2 Arithmetic Sequence and Series........................................ 223
10.3 Geometric Sequence and Series......................................... 225
10.4 Arithmetic Mean and Geometric Mean.............................. 228
10.5 Difference Sequence.......................................................... 229
10.6 The Σ Notation................................................................... 231
Topic 11 Counting : Permutation and Combination
11.1 From a to b......................................................................... 242
11.2 Multiplication Principle..................................................... 243
11.3 Permutation : Counting Successive Events........................ 248
11.4 Principle of Addition.......................................................... 252
11.5 Combination : Another Tool for Overcounts...................... 255
11.6 Permutation vs. Combination............................................. 258
11.7 Binomial Theorem............................................................. 260
Topic 12 Probability
12.1 Probability......................................................................... 270
12.2 Probability and Tree Diagrams.......................................... 281
Topic 13 Probability Distribution Functions
13.1 Discrete Random Variable................................................. 294
13.2 Binomial Distribution........................................................ 296
13.3 Normal Distribution........................................................... 300
Solution Manual 309
