Algebra and Trigonometry

Algebra and Trigonometry
Preface
	2. About Algebra and Trigonometry
	3. Coverage and Scope
	4. Development Overview
	5. Accuracy of the Content
	6. Pedagogical Foundations and Features
	7. About Our Team
Chapter 1. Prerequisites
	1.1. Real Numbers: Algebra Essentials*
	1.2. Exponents and Scientific Notation*
	1.3. Radicals and Rational Expressions*
	1.4. Polynomials*
	1.5. Factoring Polynomials*
	1.6. Rational Expressions*
	Glossary
Chapter 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*
	2.5. Quadratic Equations*
	2.6. Other Types of Equations*
	2.7. Linear Inequalities and Absolute Value Inequalities*
	Glossary
Chapter 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*
	Glossary
Chapter 4. Linear Functions
	4.1. Linear Functions*
	4.2. Modeling with Linear Functions*
	4.3. Fitting Linear Models to Data*
	Glossary
Chapter 5. Polynomial and Rational Functions
	5.1. Quadratic 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*
	5.7. Inverses and Radical Functions*
	5.8. Modeling Using Variation*
	Glossary
Chapter 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*
	Glossary
Chapter 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*
	Glossary
Chapter 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*
	Glossary
Chapter 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*
	Glossary
Chapter 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*
	Glossary
Chapter 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*
	Glossary
Chapter 12. Analytic Geometry
	12.1. The Ellipse*
	12.2. The Hyperbola*
	12.3. The Parabola*
	12.4. Rotation of Axes*
	12.5. Conic Sections in Polar Coordinates*
	Glossary
Chapter 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*
	Glossary
Appendix A. Appendix*
	A.1. Appendix
	Index