An edition of Algebra and trigonometry
(2010)
Algebra and trigonometry
2nd ed.
by Cynthia Y. Young
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Table of Contents
Chapter 0: Prerequisites and review
0.1 Real numbers
0.2 Integer exponents and scientific notation
0.3 Polynomials: Basic operations
0.4 Factoring polynomials
0.5 Rational expressions
0.6 Rational exponents and radicals
0.7 Complex Numbers
Review
Review exercises
Practice test
Chapter 1: Equations and inequalitites
1.1 Linear equations
1.2 Applications involving linear equations
1.3 Quadratic equations
1.4 Other types of equations
1.5 Linear inequalities
1.6 Polynomial and rational inequalities
1.7 Absolute value equations and inequalities
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 2: Graphs
2.1 Basic tools: Cartesian plane, distance, and midpoint
2.2 Graphing equations: Point-plotting, intercepts, and symmetry
2.3 Lines
2.4 Circles
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 3: Functions and their graphs
3.1 Functions
3.2 Graphs of functions; Piecewise-defined functions; Increasing and decreasing functions; Average rate of change
3.3 Graphing techniques: Transformations
3.4 Operations on functions and composition of functions
3.5 One-to-one functions and inverse functions
3.6 Modeling functions using variation
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 4: Polynomial and rational functions
4.1 Quadratic functions
4.2 Polynomial functions of higher degree
4.3 Dividing polynomials: Long division and synthetic division
4.4 The real zeros of a polynomial functions
4.5 Complex zeros: The fundamental theorem of algebra
4.6 Rational functions
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 5: Exponential and logarithmic functions
5.1 Exponential functions and their graphs
5.2 Logarithmic functions and their graphs
5.3 Properties of logarithms
5.4 Exponential and logarithmic equations
5.5 Exponential and logarithmic models
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 6: Trigonometric functions
6.1 Angles, degrees, and triangles
6.2 Definition 1 of trigonometric functions: Right triangle ratios
6.3 Applications of right triangle trigonometry: Solving right triangles
6.4 Definition 2 of trigonometric functions: Cartesian plane
6.5 Trigonometric functions of nonacute angles
6.6 Radian measure and applications
6.7 Definition 3 of trigonometric functions: Unit circle approach
6.8 Graphs of sine and cosine functions
6.9 Graphs of other trigonometric functions
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 7: Analytic trigonometry
7.1 Basic trigonometric identities
7.2 Verifying trigonometric identities
7.3 Sum and difference identities
7.4 Double-angle identities
7.5 Half-angle identities
7.6 Product-to-sum and sum-to-product identities
7.7 Inverse trigonometric functions
7.8 Trigonometric equations
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 8: Additional topics in trigonometry
8.1 Oblique triangles and the law of sines
8.2 The law of cosines
8.3 The area of a triangle
8.4 Vectors
8.5 The dot product
8.6 Polar (Trigonometric) form of complex numbers
8.7 Products, quotients, powers, and roots of complex numbers
8.8 Polar equations and graphs
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 9: Systems of linear equations and inequalities
9.1 Systems of linear equations in two variables
9.2 Systems of linear equations in three variables
9.3 Partial fractions
9.4 Systems of linear inequalities in two variables
9.5 The linear programming model
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 10: Matrices
10.1 Matrices and systems of linear equations
10.2 Matrix algebra
10.3 Matrix equations; the inverse of a square matrix 10.4 The determinant of a square matrix and Cramer's rule
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 11: Analytic geometry and systems of nonlinear equations and inequalities
1.1 Conic basics
11.2 The parabola
11.3 The ellipse
11.4 The hyperbola
11.5 Systems of nonlinear equations
11.6 Systems of nonlinear inequalitites
11.7 Rotation of axes
11.8 Polar equations of conics
11.9 Parametric equations and graphs
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Chapter 12: Sequences, series, and probability
12.1 Sequences and series
12.2 Arithmetic sequences and series
12.3 Geometric sequences and series
12.4 Mathematical induction
12.5 The binomial theorem
12.6 Counting, permutations, and combinations
12.7 Probability
Modeling your world
Review
Review exercises
Practice test
Cumulative test
Answers to odd numbered exercises
Applications index
Subject index.
Edition Notes
Includes index.
Classifications
External Links
The Physical Object
ID Numbers
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History
- Created October 22, 2011
- 5 revisions
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