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Algebra and Trigonometry by Jay Abramson

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Algebra and Trigonometry by Jay Abramson , Arizona State University. Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Algebra and Trigonometry by Jay Abramson cover the following topics.

• 1. Prerequisites
1.1 Real Numbers: Algebra Essentials
1.2 Exponents and Scientific Notation
1.4 Polynomials
1.5 Factoring Polynomials
1.6 Rational Expressions
Chapter 1 Review
Chapter 1 Review Exercises
Chapter 1 Practice Test

• 2. Equations and Inequalities
2.1 The Rectangular Coordinate Systems and Graphs
2.2 Linear Equations in One Variable
2.3 Models and Applications
2.4 Complex Numbers
2.6 Other Types of Equations
2.7 Linear Inequalities and Absolute Value Inequalities
Chapter 2 Review
Chapter 2 Review Exercises
Chapter 2 Practice Test

• 3. Functions
3.1 Functions and Function Notation
3.2 Domain and Range
3.3 Rates of Change and Behavior of Graphs
3.4 Composition of Functions
3.5 Transformation of Functions
3.6 Absolute Value Functions
3.7 Inverse Functions
Chapter 3 Review
Chapter 3 Review Exercises
Chapter 3 Practice Test

• 4. Linear Functions
4.1 Linear Functions
4.2 Modeling with Linear Functions
4.3 Fitting Linear Models to Data
Chapter 4 Review
Chapter 4 Review Exercises
Chapter 4 Practice Test

• 5. Polynomial and Rational Functions
5.2 Power Functions and Polynomial Functions
5.3 Graphs of Polynomial Functions
5.4 Dividing Polynomials
5.5 Zeros of Polynomial Functions
5.6 Rational Functions
5.8 Modeling Using Variation
Chapter 5 Review
Chapter 5 Review Exercises
Chapter 5 Practice Test

• 6. Exponential and Logarithmic Functions
6.1 Exponential Functions
6.2 Graphs of Exponential Functions
6.3 Logarithmic Functions
6.4 Graphs of Logarithmic Functions
6.5 Logarithmic Properties
6.6 Exponential and Logarithmic Equations
6.7 Exponential and Logarithmic Models
6.8 Fitting Exponential Models to Data
Chapter 6 Review
Chapter 6 Review Exercises
Chapter 6 Practice Test

• 7. The Unit Circle: Sine and Cosine Functions
7.1 Angles
7.2 Right Triangle Trigonometry
7.3 Unit Circle
7.4 The Other Trigonometric Functions
Chapter 7 Review
Chapter 7 Review Exercises
Chapter 7 Practice Test

• 8. Periodic Functions
8.1 Graphs of the Sine and Cosine Functions
8.2 Graphs of the Other Trigonometric Functions
8.3 Inverse Trigonometric Functions
Chapter 8 Review
Chapter 8 Review Exercises
Chapter 8 Practice Test

• 9. Trigonometric Identities and Equations
9.1 Solving Trigonometric Equations with Identities
9.2 Sum and Difference Identities
9.3 Double-Angle, Half-Angle, and Reduction Formulas
9.4 Sum-to-Product and Product-to-Sum Formulas
9.5 Solving Trigonometric Equations
Chapter 9 Review
Chapter 9 Review Exercises
Chapter 9 Practice Test

• 10. Further Applications of Trigonometry
10.1 Non-right Triangles: Law of Sines
10.2 Non-right Triangles: Law of Cosines
10.3 Polar Coordinates
10.4 Polar Coordinates: Graphs
10.5 Polar Form of Complex Numbers
10.6 Parametric Equations
10.7 Parametric Equations: Graphs
10.8 Vectors
Chapter 10 Review
Chapter 10 Review Exercises
Chapter 10 Practice Test

• 11. Systems of Equations and Inequalities
11.1 Systems of Linear Equations: Two Variables
11.2 Systems of Linear Equations: Three Variables
11.3 Systems of Nonlinear Equations and Inequalities: Two Variables
11.4 Partial Fractions
11.5 Matrices and Matrix Operations
11.6 Solving Systems with Gaussian Elimination
11.7 Solving Systems with Inverses
11.8 Solving Systems with Cramer
s Rule
Chapter 11 Review
Chapter 11 Review Exercises
Chapter 11 Practice Test

• 12. Analytic Geometry
12.1 The Ellipse
12.2 The Hyperbola
12.3 The Parabola
12.4 Rotation of Axis
12.5 Conic Sections in Polar Coordinates
Chapter 12 Review
Chapter 12 Review Exercises
Chapter 12 Practice Test

• 13. Sequences, Probability and Counting Theory
13.1 Sequences and Their Notations
13.2 Arithmetic Sequences
13.3 Geometric Sequences
13.4 Series and Their Notations
13.5 Counting Principles
13.6 Binomial Theorem
13.7 Probability
Chapter 13 Review
Chapter 13 Review Exercises
Chapter 13 Practice Test

• Appendix a - 1
Index d - 1

• Start Now or

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