College Math

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College Math Table of Contents	3
Chapter 1: Introduction to Algebra and Functions	7
1.1 Set of Real Numbers	7
1.2 Inequalities	9
1.3 Mathematical Translations of Equalities from Words	11
1.4 Mathematical Translations of Inequalities from Words	12
1.5 Solving Equations	12
1.6 Solving Inequalities	13
1.7 Solving Inequalities with Modulus Symbol	14
1.8 Systems of Linear Equations	15
1.9 Polynomials	20
1.10 Solving Quadratic Equations	21
1.11 Functions	22
1.12 Exponential Functions	24
1.13 Logarithm Functions	25
1.14 Chapter One Review	27
1.15 Chapter One Review Answers	30
Chapter 2: Financial Mathematics	34
2.1 Percent	34
2.2 Discounts, Markups, and Taxation	35
2.3 Change in Percentage	37
2.4 Profits and Losses	37
2.5 Interest	38
2.6 Simple Interest	38
2.7 Compound Interest	38
2.8 Continuous Interest	40
2.9 Effective Interest Rate (Effective Annual Rate of Interest or EAR)	40
2.10 Effective Annual Yield/Annual Percentage Rate (APR)	41
2.11 Present and Future Value	42
2.12 Chapter Two Review	42
2.13 Chapter Two Review Answers	45
Chapter 3: Geometry	48
3.1 Triangles	48
3.2 Quadrilaterals	51
3.3 Parallel and Perpendicular Lines	52
3.4 Circles	54
3.5 Theorems of Circle	56
3.6 Chapter Three Review	58
3.7 Chapter Three Review Answers	61
Chapter 4: Counting and Probability	65
4.1 Counting	65
4.2 Fundamental Counting Principle	66
4.3 Permutations	67
4.4 Distinguishable Permutations	68
4.5 Combinations	69
4.6 Probability	69
4.7 Complement of an Event	71
4.8 Mutually Exclusive Events	72
4.9 Intersection of Independent Events	73
4.10 Expected Value	74
4.11 Conditional Probability	74
4.12 Chapter Four Review	77
4.13 Chapter Four Review Answers	81
Chapter 5: Data Analysis and Statistics	86
5.1 Data Interpretation	86
5.2 Data Tables	87
5.3 Bar Graph	88
5.4 Line Graphs	91
5.5 Pie Charts	91
5.6 Measures of Central Tendency and Measures of Dispersion	92
5.7 Mean	93
5.8 Median	95
5.9 Mode	95
5.10 Standard Deviation and Variance	95
5.11 Chapter Five Review	96
5.12 Chapter 5: Answers	99
Chapter 6: Logic and Sets	101
6.1 Logical Operations and Statements	101
6.2 Negation	102
6.3 Conjunction	103
6.4 Disjunction	103
6.5 Parentheses	103
6.6 Truth Values and Truth Tables	104
6.7 Conditional Statements	105
6.8 Logical Equivalence	105
6.9 Converse, Inverse, and Contrapositive	106
6.10 Logical Arguments	106
6.11 Sets	109
6.12 Operations on Sets	110
6.13 Cartesian Products	114
6.14 Chapter Six Review Questions	115
6.15 Chapter Six Review Answers	119

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