Chapter P: Prerequisites: Fundamental Concepts of Algebra ISection P.1:
Algebraic Expressions, Mathematical Models, and Real Numbers
Section P.2:
Exponents and Scientific Notation
Section P.3:
Radicals and Rational Exponents
Section P.4:
Polynomials
Section P.5:
Factoring Polynomials
Page 70:
Mid-Chapter Check Point
Section P.6:
Rational Expressions
Section P.7:
Equations
Section P.8:
Modeling with Equations
Section P.9:
Linear Inequalities and Absolute Value Inequalities
Page 135:
Review Exercises
Page 138:
Chapter P Test
Page 16:
Concept and Vocabulary Check
Page 17:
Exercise Set P.1
Chapter 1: Functions and GraphsSection 1.1:
Graphs and Graphing Utilities
Section 1.2:
Basics of Functions and Their Graphs
Section 1.3:
More on Functions and Their Graphs
Section 1.4:
Linear Functions and Slope
Section 1.5:
More on Slope
Page 214:
Mid-Chapter Check Point
Section 1.6:
Transformations of Functions
Section 1.7:
Combinations of Functions; Composite Functions
Section 1.8:
Inverse Functions
Section 1.9:
Distance and Midpoint Formulas; Circles
Section 1.10:
Modeling with Functions
Page 284:
Review Exercises
Page 289:
Chapter 1 Test
Page 149:
Concept and Vocabulary Check
Page 150:
Exercise Set 1.1
Chapter 2: Polynomial and Rational FunctionsSection 2.1:
Complex Numbers
Section 2.2:
Quadratic Functions
Section 2.3:
Polynomial Functions and Their Graphs
Section 2.4:
Dividing Polynomials; Remainder and Factor Theorems
Section 2.5:
Zeros of Polynomial Functions
Page 360:
Mid-Chapter Check Point
Section 2.6:
Rational Functions and Their Graphs
Section 2.7:
Polynomial and Rational Inequalities
Section 2.8:
Modeling Using Variation
Page 406:
Review Exercises
Page 410:
Chapter 2 Test
Page 412:
Cumulative Review Exercises (Chapters P-2)
Page 298:
Exercise Set 2.1
Page 298:
Concept and Vocabulary Check
Chapter 3: Exponential and Logarithmic FunctionsSection 3.1:
Exponential Functions
Section 3.2:
Logarithmic Functions
Section 3.3:
Properties of Logarithms
Page 451:
Mid-Chapter Check Point
Section 3.4:
Exponential and Logarithmic Equations
Section 3.5:
Exponential Growth and Decay; Modeling Data
Page 484:
Review Exercises
Page 488:
Chapter 3 Test
Page 489:
Cumulative Review (Chapters P-3)
Page 423:
Concept and Vocabulary Check
Page 423:
Exercise Set 3.1
Chapter 4: Trigonometric FunctionsSection 4.1:
Angles and Radian Measure
Section 4.2:
Trigonometric Functions: The Unit Circle
Section 4.3:
Right Triangle Trigonometry
Section 4.4:
Trigonometric Functions of Any Angle
Page 550:
Mid-Chapter Check Point
Section 4.5:
Graphs of Sine and Cosine Functions
Section 4.6:
Graphs of Other Trigonometric Functions
Section 4.7:
Inverse Trigonometric Functions
Section 4.8:
Applications of Trigonometric Functions
Page 615:
Review Exercises
Page 618:
Chapter 4 Test
Page 619:
Cumulative Review (Chapters P-4)
Page 504:
Concept and Vocabulary Check
Page 505:
Exercise Set 4.1
Chapter 5: Analytic TrigonometrySection 5.1:
Verifying Trigonometric Identities
Section 5.2:
Sum and Difference Formulas
Section 5.3:
Double-Angle, Power-Reducing, and Half-Angle Formulas
Page 655:
Mid-Chapter Check Point
Section 5.4:
Product-to-Sum and Sum-to-Product Formulas
Section 5.5:
Trigonometric Equations
Page 678:
Review Exercises
Page 680:
Chapter 5 Test
Page 680:
Cumulative Review Exercises (Chapters P-5)
Page 630:
Exercise Set 5.1
Page 630:
Concept and Vocabulary Check
Chapter 6: Additional Topics in TrigonometrySection 6.1:
The Law of Sines
Section 6.2:
The Law of Cosines
Section 6.3:
Polar Coordinates
Section 6.4:
Graphs of Polar Equations
Page 725:
Mid-Chapter Check Point
Section 6.5:
Complex Numbers in Polar Form; DeMoivre's Theorem
Section 6.6:
Vectors
Section 6.7:
The Dot ProductPage 766:
Review Exercises
Page 769:
Chapter 6 Test
Page 769:
Cumulative Review Exercises (Chapters P-6)
Page 689:
Concept and Vocabulary Check
Page 690:
Exercise Set 6.1
Chapter 7: Systems of Equations and InequalitiesSection 7.1:
Systems of Linear Equations in Two Variables
Section 7.2:
Systems of Linear Equations in Three Variables
Section 7.3:
Partial Fractions
Section 7.4:
Systems of Nonlinear Equations in Two Variables
Page 821:
Mid-Chapter Check Point
Section 7.5:
Systems of Inequalities
Section 7.6:
Linear Programming
Page 844:
Review Exercises
Page 846:
Chapter 7 Test
Page 847:
Cumulative Review Exercises (Chapters P-7)
Page 785:
Concept and Vocabulary Check
Page 786:
Exercise Set 7.1
Chapter 8: Matrices and DeterminantsSection 8.1:
Matrix Solutions to Linear Systems
Section 8.2:
Inconsistent and Dependent Systems and Their Applications
Section 8.3:
Matrix Operations and Their Applications
Page 887:
Mid-Chapter Check Point
Section 8.4:
Multiplicative Inverses of Matrices and Matrix Equations
Section 8.5:
Determinants and Cramer's Rule
Page 915:
Review Exercises
Page 918:
Chapter 8 Test
Page 918:
Cumulative Review Exercises (Chapters P-8)
Page 858:
Concept and Vocabulary Check
Page 859:
Exercise Set 8.1
Chapter 9: Conic Sections and Analytic GeometrySection 9.1:
The Ellipse
Section 9.2:
The Hyperbola
Section 9.3:
The Parabola
Page 961:
Mid-Chapter Check Point
Section 9.4:
Rotation of Axes
Section 9.5:
Parametric Equations
Section 9.6:
Conic Sections in Polar Coordinates
Page 996:
Review Exercises
Page 998:
Chapter Test
Page 999:
Cumulative Review Exercises (Chapters P-9)
Page 930:
Concept and Vocabulary Check
Page 930:
Exercise Set 9.1
Chapter 10: Sequences, Induction, and ProbabilitySection 10.1:
Sequences and Summation Notation
Section 10.2:
Arithmetic Sequences
Section 10.3:
Geometric Sequences and Series
Page 1039:
Mid-Chapter Check Point
Section 10.4:
Mathematical Induction
Section 10.5:
The Binomial Theorem
Section 10.6:
Counting Principles, Permutations, and Combinations
Section 10.7:
Probability
Page 1084:
Review Exercises
Page 1087:
Chapter 10 Test
Page 1088:
Cumulative Review Exercises (Chapters P-10)
Page 1010:
Concept and Vocabulary Check
Page 1010:
Exercise Set 10.1
Chapter 11: Introduction to CalculusSection 11.1:
Finding Limits Using Tables and Graphs
Section 11.2:
Finding Limits Using Properties of Limits
Section 11.3:
Limits and Continuity
Page 1124:
Mid-Chapter Check Point
Section 11.4:
Introduction to Derivatives
Page 1139:
Review Exercises
Page 1140:
Chapter Test
Page 1141:
Cumulative Review Exercises (Chapters P-11)
Page 1099:
Concept and Vocabulary Check
Page 1099:
Exercise Set 11.1
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