Precalculus Essentials 2nd edition


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  • Chapter P: Prerequisites: Fundamental Concepts of Algebra
    • P.1: Algebraic Expressions and Real Numbers
    • P.2: Exponents and Scientific Notation
    • P.3: Radicals and Rational Exponents
    • P.4: Polynomials
    • P.5: Factoring Polynomials
    • P.6: Rational Expressions
    • P.7: Equations
    • P.8: Modeling with Equations
    • P.9: Linear Inequalities and Absolute Value Inequalities

  • Chapter 1: Functions and Graphs
    • 1.1: Graphs and Graphing Utilities
    • 1.2: Basics of Functions and Their Graphs (8)
    • 1.3: More on Functions and Their Graphs (10)
    • 1.4: Linear Functions and Slope
    • 1.5: More on Slope
    • 1.6: Transformations of Functions
    • 1.7: Combinations of Functions; Composite Functions (13)
    • 1.8: Inverse Functions (7)
    • 1.9: Distance and Midpoint Formulas; Circles
    • 1.10: Modeling with Functions

  • Chapter 2: Polynomial and Rational Functions
    • 2.1: Complex Numbers (5)
    • 2.2: Quadratic Functions (7)
    • 2.3: Polynomial Functions and Their Graphs (9)
    • 2.4: Dividing Polynomials; Remainder and Factor Theorems (8)
    • 2.5: Zeros of Polynomial Functions (7)
    • 2.6: Rational Functions and Their Graphs (10)
    • 2.7: Polynomial and Rational Inequalities
    • 2.8: Modeling Using Variation

  • Chapter 3: Exponential and Logarithmic Functions
    • 3.1: Exponential Functions (9)
    • 3.2: Logarithmic Functions (16)
    • 3.3: Properties of Logarithms (10)
    • 3.4: Exponential and Logarithmic Equations (13)
    • 3.5: Exponential Growth and Decay; Modeling Data (5)

  • Chapter 4: Trigonometric Functions
    • 4.1: Angles and Radian Measure (15)
    • 4.2: Trigonometric Functions: The Unit Circle (19)
    • 4.3: Right Triangle Trigonometry (10)
    • 4.4: Trigonometric Functions of Any Angle (15)
    • 4.5: Graphs of Sine and Cosine Functions (9)
    • 4.6: Graphs of Other Trigonometric Functions (5)
    • 4.7: Inverse Trigonometric Functions (14)
    • 4.8: Applications of Trigonometric Functions (11)

  • Chapter 5: Analytic Trigonometry
    • 5.1: Verifying Trigonometric Identities (10)
    • 5.2: Sum and Difference Formulas (8)
    • 5.3: Double-Angle, Power-Reducing, and Half-Angle Formulas (8)
    • 5.4: Product-to-Sum and Sum-to-Product Formulas (5)
    • 5.5: Trigonometric Equations (12)

  • Chapter 6: Additional Topics in Trigonometry
    • 6.1: The Law of Sines (6)
    • 6.2: The Law of Cosines (4)
    • 6.3: Polar Coordinates
    • 6.4: Graphs of Polar Equations
    • 6.5: Complex Numbers in Polar Form; DeMoivre's Theorem
    • 6.6: Vectors (14)
    • 6.7: The Dot Product (8)

  • Chapter 7: Systems of Equations and Inequalities
    • 7.1: Systems of Linear Equations in Two Variables
    • 7.2: Systems of Linear Equations in Three Variables
    • 7.3: Partial Fractions
    • 7.4: Systems of Nonlinear Equations in Two Variables
    • 7.5: Systems of Inequalities
    • 7.6: Linear Programming

  • Chapter 8: Matrices and Determinants
    • 8.1: Matrix Solutions to Linear Systems
    • 8.2: Inconsistent and Dependent Systems and Their Applications
    • 8.3: Matrix Operations and Their Applications
    • 8.4: Multiplicative Inverses of Matrices and Matrix Equations
    • 8.5: Determinants and Cramer's Rule

  • Chapter 9: Conic Sections and Analytic Geometry
    • 9.1: The Ellipse
    • 9.2: The Hyperbola
    • 9.3: The Parabola
    • 9.4: Rotation of Axes
    • 9.5: Parametric Equations
    • 9.6: Conic Sections in Polar Coordinates

  • Chapter 10: Sequences, Induction, and Probability
    • 10.1: Sequences and Summation Notation
    • 10.2: Arithmetic Sequences
    • 10.3: Geometric Sequences and Series
    • 10.4: Mathematical Induction
    • 10.5: The Binomial Theorem
    • 10.6: Counting Principles, Permutations, and Combinations
    • 10.7: Probability

  • Chapter 11: Introduction to Calculus
    • 11.1: Finding Limits Using Tables and Graphs
    • 11.2: Finding Limits Using Properties of Limits
    • 11.3: Limits and Continuity
    • 11.4: Introduction to Derivatives

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Group Quantity Questions
Chapter 1: Functions and Graphs
1.2 8 013 016 030 033 038 081 082 105
1.3 10 011 020 021 023 027 037 043 062 072 073
1.7 13 004 006 008 021 023 028 032 057 071 075 090 091 103
1.8 7 007 015 017 023 027 057 069
Chapter 2: Polynomial and Rational Functions
2.1 5 009 013 015 027 034
2.2 7 030 031 041 049 058 060 065
2.3 9 015 016 017 018 027 029 031 041 047
2.4 8 005 015 017 019 033 041 043 047
2.5 7 003 011 021 025 053 060 067
2.6 10 004 006 008 021 025 029 031 033 091 092
Chapter 3: Exponential and Logarithmic Functions
3.1 9 004 009 011 015 053 057 058 063 065
3.2 16 003 005 015 019 023 027 030 039 041 053 077 079 083 085 089 093
3.3 10 028 031 037 061 069 071 094 095 096 097
3.4 13 005 013 021 023 031 041 043 053 061 067 069 086 087
3.5 5 007 011 017 019 031
Chapter 4: Trigonometric Functions
4.1 15 009 015 019 024 028 030 037 041 047 055 057 061 063 067 071
4.2 19 003 005 006 007 008 009 012 015 019 021 023 025 031 039 047 051 053 054 057
4.3 10 005 010 015 017 021 029 031 054 057 089
4.4 15 001 005 009 013 015 023 029 037 041 047 059 062 071 073 083
4.5 9 005 007 013 023 025 039 047 053 061
4.6 5 005 012 017 029 033
4.7 14 001 007 009 013 019 023 031 033 035 036 047 049 063 067
4.8 11 002 008 014 016 042 044 048 050 052 054 058
Chapter 5: Analytic Trigonometry
5.1 10 005 007 013 015 027 031 037 045 051 057
5.2 8 005 015 021 025 039 050 051 057
5.3 8 009 025 031 039 043 049 051 055
5.4 5 005 007 017 021 032
5.5 12 003 019 021 025 039 041 049 055 065 087 093 108
Chapter 6: Additional Topics in Trigonometry
6.1 6 005 009 017 033 051 057
6.2 4 003 009 025 041
6.6 14 005 009 013 015 021 025 031 033 035 037 039 041 047 051
6.7 8 003 005 009 013 019 021 025 027
Chapter 7: Systems of Equations and Inequalities
7 0  
Chapter 8: Matrices and Determinants
8 0  
Chapter 9: Conic Sections and Analytic Geometry
9 0  
Chapter 10: Sequences, Induction, and Probability
10 0  
Chapter 11: Introduction to Calculus
11 0  
Total 310