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 ensures 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.

Table of Contents
1 Prerequisites
2 Equations and Inequalities
3 Functions
4 Linear Functions
5 Polynomial and Rational Functions
6 Exponential and Logarithmic Functions
7 The Unit Circle: Sine and Cosine Functions
8 Periodic Functions
9 Trigonometric Identities and Equations
10 Further Applications of Trigonometry
11 Systems of Equations and Inequalities
12 Analytic Geometry
13 Sequences, Probability, and Counting Theory

Access also available here: https://openstax.org/details/books/algebra-and-trigonometry

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 ensures 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.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.

Table of Contents
Chapter 1: Functions and Graphs
Chapter 2: Limits
Chapter 3: Derivatives
Chapter 4: Applications of Derivatives
Chapter 5: Integration
Chapter 6: Applications of Integrations

Also available here: https://openstax.org/details/books/calculus-volume-1

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Access also available here: https://openstax.org/details/books/calculus-volume-2

Table of Contents
Chapter 1: Integration

1.1 Approximating Areas
1.2 The Definite Integral
1.3 The Fundamental Theorem of Calculus
1.4 Integration Formulas and the Net Change Theorem
1.5 Substitution
1.6 Integrals Involving Exponential and Logarithmic Functions
1.7 Integrals Resulting in Inverse Trigonometric Functions
Chapter 2: Applications of Integration

2.1 Areas between Curves
2.2 Determining Volumes by Slicing
2.3 Volumes of Revolution: Cylindrical Shells
2.4 Arc Length of a Curve and Surface Area
2.5 Physical Applications
2.6 Moments and Centers of Mass
2.7 Integrals, Exponential Functions, and Logarithms
2.8 Exponential Growth and Decay
2.9 Calculus of the Hyperbolic Functions
Chapter 3: Techniques of Integration

3.1 Integration by Parts
3.2 Trigonometric Integrals
3.3 Trigonometric Substitution
3.4 Partial Fractions
3.5 Other Strategies for Integration
3.6 Numerical Integration
3.7 Improper Integrals
Chapter 4: Introduction to Differential Equations

4.1 Basics of Differential Equations
4.2 Direction Fields and Numerical Methods
4.3 Separable Equations
4.4 The Logistic Equation
4.5 First-order Linear Equations
Chapter 5: Sequences and Series

5.1 Sequences
5.2 Infinite Series
5.3 The Divergence and Integral Tests
5.4 Comparison Tests
5.5 Alternating Series
5.6 Ratio and Root Tests
Chapter 6: Power Series

6.1 Power Series and Functions
6.2 Properties of Power Series
6.3 Taylor and Maclaurin Series
6.4 Working with Taylor Series
Chapter 7: Parametric Equations and Polar Coordinates

7.1 Parametric Equations
7.2 Calculus of Parametric Curves
7.3 Polar Coordinates
7.4 Area and Arc Length in Polar Coordinates
7.5 Conic Sections

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Access also available here: https://openstax.org/details/books/calculus-volume-3

Table of Contents

1. Parametric Equations and Polar Coordinates

1.1. Introduction
1.2. Parametric Equations
1.3. Calculus of Parametric Curves
1.4. Polar Coordinates
1.5. Area and Arc Length in Polar Coordinates
1.6. Conic Sections
2. Vectors in Space

2.1. Introduction
2.2. Vectors in the Plane
2.3. Vectors in Three Dimensions
2.4. The Dot Product
2.5. The Cross Product
2.6. Equations of Lines and Planes in Space
2.7. Quadric Surfaces
2.8. Cylindrical and Spherical Coordinates
3. Vector-Valued Functions

3.1. Introduction
3.2. Vector-Valued Functions and Space Curves
3.3. Calculus of Vector-Valued Functions
3.4. Arc Length and Curvature
3.5. Motion in Space
4. Differentiation of Functions of Several Variables

4.1. Introduction
4.2. Functions of Several Variables
4.3. Limits and Continuity
4.4. Partial Derivatives
4.5. Tangent Planes and Linear Approximations
4.6. The Chain Rule
4.7. Directional Derivatives and the Gradient
4.8. Maxima/Minima Problems
4.9. Lagrange Multipliers
5. Multiple Integration

5.1. Introduction
5.2. Double Integrals over Rectangular Regions
5.3. Double Integrals over General Regions
5.4. Double Integrals in Polar Coordinates
5.5. Triple Integrals
5.6. Triple Integrals in Cylindrical and Spherical Coordinates
5.7. Calculating Centers of Mass and Moments of Inertia
5.8. Change of Variables in Multiple Integrals
6. Vector Calculus

6.1. Introduction
6.2. Vector Fields
6.3. Line Integrals
6.4. Conservative Vector Fields
6.5. Green's Theorem
6.6. Divergence and Curl
6.7. Surface Integrals
6.8. Stokes' Theorem
6.9. The Divergence Theorem
7. Second-Order Differential Equations

7.1. Introduction
7.2. Second-Order Linear Equations
7.3. Nonhomogeneous Linear Equations
7.4. Applications
7.5. Series Solutions of Differential Equations
Table of Integrals
Table of Derivatives
Review of Pre-Calculus

College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs.College Algebraguides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned.

OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.

Access also available here: https://openstax.org/details/books/college-algebra

Table of Contents
1 Prerequisites
2 Equations and Inequalities
3 Functions
4 Linear Functions
5 Polynomial and Rational Functions
6 Exponential and Logarithmic Functions
7 Systems of Equations and Inequalities
8 Analytic Geometry
9 Sequences, Probability, and Counting Theory

Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way.

Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives, and includes worked examples that demonstrate problem-solving approaches in an accessible way.

Access also available here: https://openstax.org/details/books/precalculus