Algebra and Trigonometry: Functions and Applications (Prentice Hall Classics)

Days

• 1 1-1 Sets of Numbers
• 2 1-2 The Field Axioms
• 3 1-3 Variables and Expressions
• 4 1-4 Polynomials
• 5 1-5 Equations
• 6 1-6 Inequalities
• 7 1-7 Properties Provable from the Axioms
• 8 1-8 Chapter Review
• 9 Chapter 1 Test
• 10 Correct Test 1
• 11 2-1 Graphs of Equations with Two Variables
• 12 2-2 Graphs of Functions
• 13 2-3 Functions in the Real World
• 14 2-4 Graphs of Functions and Relations
• 15 2-5 Chapter
• 16 Chapter 2 Test
• 17 Correct Test 2
• 18 3-1 Introduction to Linear Functions
• 19 3-2 Properties of Linear Function Graphs
• 20 3-3 Other Forms of the Linear Function Equation
• 21 3-4 Equations of Linear Functions from Their Graphs
• 22 3-5 Linear Functions as Mathematical Models
• 23 3-6 Chapter Review
• 24 Chapter 3 Test
• 25 Correct Test 3
• 26 4-1 Introduction to Linear Systems
• 27 4-2 Solution of Systems in Linear Equations
• 28 4-3 Second-Order Determinants
• 29 4-4 f(x) Terminology, and Systems as Models
• 30 4-5 Linear Equations with Three of More Variables
• 31 4-6 Systems of Linear Equations w/ Three of More Variables
• 32 4-7 Solution of Second-Order Systems by Augmented Matrices
• 33 4-8 Solution of Higher-Order Systems by Augmented Matrices
• 34 4-9 Higher-Order Determinants
• 35 4-10 Systems of Linear Inequalitiies
• 36 4-11 Linear Programming
• 37 4-12 Chapter Review
• 38 Chapter 4 Test
• 39 Correct Test 4
• 40 5-1 Introduction to Quadratic Functions
• 41 5-2 Graphs of Quadratic Functions
• 42 5-3 x-Intercepts and the Quadratic Formula
• 43 5-4 Imaginary and Complex Numbers
• 44 5-5 Evaluating Quadratic Functions
• 45 5-6 Equations of Quadratic Functions from their graphs
• 46 5-7 Quadratic and Linear Functions as Mathematical Models
• 47 5-8 Chapter Review
• 48 Chapter 5 Test
• 49 Correct Test 5
• 50 5-9 Cumulative Review: Chapters 1-5 (odd problems)
• 51 6-1 Introduction to Exponential Functions
• 52 6-2 Exponentiation for Positive Integer Exponents
• 53 6-3 Properties of Exponentiation
• 54 6-4 Exponentiation for Rational Exponents
• 55 6-5 Powers and Radicals Without Calculators
• 56 6-6 Scientific Notation
• 57 6-7 Exponential Equations Solved by Brute Force
• 58 6-8 Exponential Equations Solved by Logarithms
• 59 6-9 Logarithms with Other Bases
• 60 6-10 Properties of Logarithms
• 61 6-11 Proofs of Properties of Logarithms
• 62 6-12 Inverses of Functions- The Logarithmic Function
• 63 6-13 The Add-Multiply Property of Exponential Functions
• 64 6-14 Exponential and Other Functions as Mathematical Models
• 65 6-15 Chapter Review
• 66 Chapter 6 Test
• 67 Correct Test 6
• 68 7-1 Introduction to Rational Algebraic Functions
• 69 7-2 Rational Function Graphs- Discontinuities and Asymptotes
• 70 7-3 Special Products and Factoring
• 71 7-4 More Factoring and Graphing
• 72 7-5 Long Division of Polynomials
• 73 7-6 Factoring Higher-Degree Polynomials- The Factor Theorem
• 74 7-7 Products and Quotients of Rational Expressions
• 75 7-8 Sums and Differences of Rational Expressions
• 76 7-9 Graphs of Rational Algebraic Functions, Again
• 77 7-10 Fractional Equations and Extraneous Solutions
• 78 7-11 Variation Functions
• 79 7-12 Chapter Review
• 80 Chapter 7 Test
• 81 Correct Chapter 7
• 82 8-1 Introduction to Irrational Algebraic Functions
• 83 8-2 Graphs of Irrational Functions
• 84 8-3 Radicals and Simple Radical Form
• 85 8-4 Radical Equations
• 86 8-5 Variation Functions with Non-Integer Exponents
• 87 8-6 Functions of More Than One Independent Variable
• 88 8-7 Chapter Review
• 89 Chapter 8 Test
• 90 Correct Test 8
• 91 8-8 Cumulative Review: Chapters 6-8 (odd)
• 92 9-1 Introduction to Quadratic Relations
• 93 9-2 Circles
• 94 9-3 Ellipses
• 95 9-4 Hyperbolas
• 96 9-5 Parabolas
• 97 9-6 Equations from Geometrical Definitions
• 98 9-7 Quadratic Relations - xy-Term
• 99 9-8 Systems of Quadratics
• 100 9-9 Chapter Review
• 101 Chapter 9 Test
• 102 Correct Test 9
• 103 10-1 Introduction to Higher-Degree Functions
• 104 10-2 Complex Number Review
• 105 10-3 Quadratic Equations from Their Solutions-Complex Number Factors
• 106 10-4 Graphs of Higher-Degree Functions- Synthetic Substitution
• 107 10-5 Descartes' Rule of Signs and the Upper Bound Theorem
• 108 10-6 Higher-Degree Functions as Mathematical Models
• 109 10-7 Chapter Review
• 110 Chapter 10 Test
• 111 Correct Test 10
• 112 11-1 Introduction to Sequences
• 113 11-2 Arithmetic and Geometric Sequences
• 114 11-3 Arithmetic and Geometric Means
• 115 11-4 Introduction to Series
• 116 11-5 Arithmetic and Geometric Series
• 117 11-6 Convergent Geometric Series
• 118 11-7 Sequences and Series as Mathematical Models
• 119 11-8 Factorials
• 120 11-9 Introduction to Binomial Series
• 121 11-10 The Binomial Formula
• 122 11-11 Chapter Review
• 123 Chapter 11 Test
• 124 Correct Test 11
• 125 12-1 Introduction to Probability
• 126 12-2 Words Associated with Probability
• 127 12-3 Two Counting Principles
• 128 12-4 Probabilities of Various Permutations
• 129 12-5 Probabilities of Various Combinations
• 130 12-6 Properties of Probability
• 131 12-7 Functions of a Random Variable
• 132 12-8 Mathematical Expectation
• 133 12-9 Statistics and Data Analysis
• 134 12-10 Chapter Review
• 135 Chapter 12 Test
• 136 Correct Chapter 12 Test
• 137 12-11 Cumulative Review: Chapters 9-12 (odd)
• 138 13-1 Introduction to Periodic Functions
• 139 13-2 Measurement of Arcs and Rotation
• 140 13-3 Definitions of Trigonometric and Circular Functions
• 141 13-4 Approximate Values of Trigonometric And Circular Functions
• 142 13-5 Graphs of Trigonometric And Circular Functions
• 143 13-6 General Sinusoidal Graphs
• 144 13-7 Equations of Sinusoids From Their Graphs
• 145 13-8 Sinusoidal Functions as Mathematical Models
• 146 13-9 Inverse Circular Functions
• 147 13-10 Evaluation of Inverse Relations
• 148 13-11 Inverse Circular Relations as Mathematical Models
• 149 13-12 Chapter Review
• 150 Chapter 13 Test
• 151 Correct Test 13
• 152 14-1 Three Properties of Trigonometric Functions
• 153 14-2 Trigonometric Identies
• 154 14-3 Properties Involving Functions of More Than one Argument
• 155 14-4 Multiple-Argument Properties
• 156 14-5 Half-Argument Properties
• 157 14-6 Sum and Product Properties
• 158 14-7 Linear Combination of Cosine and Sine with Equal Arguments
• 159 14-8 Simplification of Trigonometric Expressions
• 160 14-9 Trigonometric Equations
• 161 14-10 Chapter Review
• 162 Chapter 14 Test
• 163 Correct Test 14
• 164 15-1 Right Triangle Problems
• 165 15-2 Oblique Triangles- Law of Cosines
• 166 15-3 Area of a Triangle
• 167 15-4 Oblique Triangles- Law of Sines
• 168 15-5 The Ambiguous Case
• 169 15-6 General Solution of Triangles
• 170 15-7 Vectors
• 171 15-8 Vectors-Resolution into Components
• 172 15-9 Real-Word Triangle Problems
• 173 15-10 Chapter Review
• 174 Chapter 15 Test
• 175 Correct Test 15
• 176 15-11 Cumulative Review: Chapters 13-15 (odd)
• 177 Final Examination
• 178 Correct Final Examination