Open Educational Resources (OERs) are course materials that are legally available on the internet for anyone to use, edit and distribute.

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On this page you will find a number of resources available at no cost to facilitate teaching and learning of Mathematics. Most of these resources are OER texts, but also included are web-based learning tools. To see more details about the contents of any item hover your cursor over the item title. For access to more free teaching and learning resources, please take a look at the list of OER repositories available from the *Finding OER *tab in this guide.

- Arithmetic for College Students / Lippman Contents: Problem Solving / Voting Theory / Weighted Voting / Apportionment / Fair Division / Graph Theory / Scheduling / Growth Models / Finance / Statistics / Describing Data / Probability / Sets / Historical Counting Systems / Fractals / Cryptography
- Arithmetic for College Students Handouts and Worksheets Worksheets with arithmetic and conversion problems.
- Basic Arithmetic Workbook Lesson format includes mini lesson, practice problems, short assessment, online homework and is compatible with myOpenMath. Contents: Whole Numbers / Introduction to Fractions / Fraction Addition & Subtraction / Fraction Multiplication & Division / Decimals / Percents / Ratios, Rates & Proportion / Statistics / Units & Conversions / Geometry I: Perimeter & Area / Geometry II: Volume and Triangles / Signed Numbers
- College Mathematics for Everyday Life / Inigo et al. Contents: Statistics Part I / Statistics Part II / Probability / Growth / Finance / Graph Theory / Voting Systems / Fair Division / Apportionment / Geometric Symmetry Golden Ratio
- Fundamentals of Mathematics / Burzynski et al. Contents: Addition and Subtraction of Whole Numbers / Multiplication and Division of Whole Numbers / Exponents, Roots, and Factorization of Whole Numbers / Introduction to Fractions and Multiplication and Division of Fractions / Addition and Subtraction of Fractions, Comparing Fractions, and Complex Fractions / Decimals / Ratios and Rates / Techniques of Estimation / Measurement and Geometry / Signed Numbers / Algebraic Expressions and Equations
- Math in Society Contents: Problem Solving / Voting Theory / Weighted Voting / Apportionment / Fair Division / Graph Theory / Scheduling / Growth Models / Finance / Statistics / Describing Data / Probability / Sets / Historical Counting Systems / Fractals / Cryptography
- MyOpenMath Free and open online resource supported by XYZ Math and Lumen Learning with resources for instructors and for student self-study. Requires registration to create an account.

- Business Calculus with Excel / May & Bart Contents: Functions Graphs and Excel / Business Applications / Rate of Change and Derivatives / Symbolic Differentiation / Differentiation Techniques and Applications / Functions of Several Variables / Integration
- Business Math: A Step-by-Step Handbook / Olivier Simplifies and integrates annuity types and variable calculations, and utilizes relevant algebraic symbols. Contains structured exercises, annotated and detailed formulas, and relevant personal and professional applications in discussion, guided examples, case studies, and homework questions.
- Introduction to Financial Mathematics Concepts and Computational Methods / Fahim Primer in financial mathematics with a focus on conceptual understanding of models and problem solving. Exposes the reader to a wide range of basic problems, some emphasizing analytic ability, some requiring programming techniques and others focusing on statistical data analysis.

- Concepts in Statistics (Lumen Learning) Open courseware that may be used as a textbook. Contains links to OERs, including readings and videos. Some resources are copyrighted and openly licensed. Licensing information about specific resources can be accessed at the bottom of each page.
- Introduction to Statistics / Lane Contents: Introduction / Graphing Distributions / Summarizing Distributions / Describing Bivariate Data / Probability / Research Design / Normal Distributions / Advanced Graphs / Sampling Distributions / Estimation / Logic of Hypothesis Testing / Testing Means / Power / Regression / Analysis of Variance / Transformations / Chi Square / Distribution-Free Tests / Effect Size / Case Studies
- Introductory Business Statistics / Tiemann “Explores the basic ideas behind statistics, such as populations, samples, the difference between data and information, and most importantly sampling distributions." Topics include descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics.
- Introductory Business Statistics / OpenStax Written to meet the requirements of a one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills are augmented with practical business examples, scenarios, and exercises.
- Introductory Statistics / OpenStax Follows the requirements of a one-semester introduction to statistics; geared toward students majoring in fields other than math or engineering. Assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Includes collaborative exercises, technology integration problems, and statistics labs.
- Introductory Statistics / Saylor Textbook for a standard one-semester introductory statistics course for general education students.
- Introductory Statistics with Randomization and Simulation / Diez & Çetinkaya-Rundel Contents: Introduction to data / Foundations for inference / Inference for categorical data / Inference for numerical data / Introduction to linear regression / Multiple and logistic regression / Appendix A. Probability
- Online Statistics Education: An Interactive Multimedia Course of Study / Lane Resource for learning and teaching introductory statistics. Includes material presented in textbook and video formats. Features interactive demonstrations and simulations, case studies, and an analysis lab.

- APEX Calculus / Hartman et al. 3-text series includes Pt. 1 (Ch. 1-6): limits, derivatives, and the basics of integration / Pt. 2 (Ch. 5-8): integration and its applications, along with an introduction to sequences, series and Taylor Polynomials / Pt. 3 (Ch. 9-13): parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable. More information at www.apexcalculus.com.
- Business Calculus / Hoffman et al. Derivative work based on Dale Hoffman’s Contemporary Calculus. Assumes students have had College Algebra. Students will learn to apply calculus in economic and business settings.
- Calculus / MIT Open Courseware 1991, Wellesley-Cambridge Press. Useful for educators and self-learners. Covers single variable and multivariable calculus in depth, with applications. Includes online Instructor's Manual and a student Study Guide.
- Calculus Vol. 1 / OpenStax 3-volume series designed to fit the needs of a variety of precalculus courses. Covers more ground than a typical one- or two-semester college-level precalculus course. Content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches.
- Calculus Vol. 2 / OpenStax 3-volume series designed to fit the needs of a variety of precalculus courses. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
- Calculus Vol. 3 / OpenStax 3-volume series designed to fit the needs of a variety of precalculus courses. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
- Calculus: Early Transcendentals / Guichard Contents: Review / Functions / Limits / Derivatives / Applications of Derivatives / Integration / Techniques of Integration / Applications of Integration / Sequences and Series / Differential Equations / Polar Coordinates, Parametric Equations 405 / Three Dimensions / Partial Differentiation / Multiple Integration / Vector Functions / Vector Calculus
- Calculus in Context / Callahan Contents: A context for calculus / Successive approximations / The derivative / Differential equations / Techniques of differentiation / The integral / Periodicity / Dynamical systems / Functions of several variables / Series and approximations / Techniques of integration / Case studies
- Mooculus: Calculus / Fowler & Snapp "This open textbook is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. "
- Precalculus: An Investigation of Functions (2nd) / Lippman & Rasmussen Contents: Functions / Linear Functions / Polynomial and Rational Functions / Exponential and Logarithmic Functions / Trigonometric Functions of Angles / Periodic Functions / Trigonometric Equations and Identities / Further Applications of Trigonometry / Conics
- Precalculus / OpenStax “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.”

- Elementary College Geometry / Africk Contents: Lines Angles And Triangles / Congruent Triangles / Quadrilaterals / Similar Triangles / Trigonometry Of The Right Triangle / Area And Perimeter / Regular Polygons And Circles
- Euclidean Plane and Its Relatives / Petrunin Contents: (EUCLIDEAN GEOMETRY) The Axioms / Half-planes / Congruent triangles / Perpendicular lines / Similar triangles / Parallel lines / Triangle geometry / (INVERSIVE GEOMETRY) Inscribed angles / Inversion / (NON-EUCLIDEAN GEOMETRY) Neutral Geometry / Hyperbolic plane / Geometry of h-plane / (ADDITIONAL TOPICS) Affine geometry / Projective geometry / Spherical geometry
- Geometry with an Introduction to Cosmic Topology / Hitchman Contents: An Invitation to Geometry / The Complex Plane / Transformations / Geometry / Hyperbolic Geometry / Elliptic Geometry / Geometry on Surfaces / Cosmic Topology

- Algebra and Trigonometry / OpenStax Comprehensive exploration of algebraic principles that meets the scope and sequence requirements for a typical introductory algebra and trigonometry course. Offers a wealth of examples with detailed, conceptual explanations.
- College Algebra & Trigonometry / Beveridge Contents: Algebra Review / Polynomial and Rational Functions / Exponents and Logarithms / Conic Sections / Circle and Parabola / Sequences and Series / Combinatorics / Right Triangle Trigonometry / Graphing the Trigonometric Functions / Trigonometric Identities and Equations / The Law of Sines / The Law of Cosines
- College Trigonometry / Stitz & Zeager Free .pdf download with Creative Commons License. Contents: Foundations of Trigonometry / Applications of Trigonometry.
- Trigonometry Contents:The Trigonometric Functions / Graphs of the Trigonometric Functions / Triangles and Vectors / Trigonometric Identities and Equations / Complex Numbers and Polar Coordinates
- Trigonometry / Beveridge Contents: Right Triangle Trigonometry / Graphing the Trigonometric Functions / Trigonometric Identities and Equations / The Law of Sines / The Law of Cosines

- College Algebra Contents: Relations and Functions / Linear and Quadratic Functions / Polynomial Functions / Rational Functions / Further Topics in Functions / Exponential and Logarithmic Functions / Hooked on Conics / Systems of Equations and Matrices / Sequences and the Binomial Theorem
- College Algebra / OpenStax Comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. Offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material.
- Elementary Algebra / Redden Contents: Real Numbers and Their Operations / Linear Equations and Inequalities / Graphing Lines / Solving Linear Systems / Polynomials and Their Operations / Factoring and Solving by Factoring / Rational Expressions and Equations / Radical Expressions and Equations / Solving Quadratic Equations and Graphing Parabolas / Appendix: Geometric Figures
- Elementary Algebra 2e / OpenStax Designed to meet scope and sequence requirements for a one-semester elementary algebra course. Text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
- Intermediate Algebra / Redden Contents: Algebra Fundamentals / Graphing Functions and Inequalities / Solving Linear Systems / Polynomial and Rational Functions / Radical Functions and Equations / Solving Equations and Inequalities / Exponential and Logarithmic Functions / Conic Sections / Sequences, Series, and the Binomial Theorem
- Intermediate Algebra 2e / OpenStax Designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. Expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses.
- Open Resources for Community College Algebra Contents: Variables, Expressions, and Equations / Linear Equations and Inequalities / Graphing Lines / Systems of Linear Equations / Exponents and Polynomials / Radical Expressions and Equations / Solving Quadratic Equations / Quantities in the Physical World / Topics in Graphing / Factoring / Functions / Rational Functions and Equations / Graphs and Equations / Appendix A: Basic Math Review
- Prealgebra 2e / OpenStax Designed to meet scope and sequence requirements for a one-semester prealgebra or basic math course. Introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

- A First Course in Linear Algebra / Kuttler Contents: Systems of Equations / Matrices / Determinants / R^n / Linear Transformations / Complex Numbers / Spectral Theory / Some Curvilinear Coordinate Systems / Vector Spaces
- Linear Algebra / Cherney, Denton, & Waldron Contents: What is Linear Algebra? / Systems of Linear Equations / The Simplex Method / Vectors in Space, n-Vectors / Vector Spaces / Linear Transformations / Matrices / Determinants / Subspaces and Spanning Sets / Linear Independence / Basis and Dimension / Eigenvalues and Eigenvectors / Diagonalization / Orthonormal Bases and Complements / Diagonalizing Symmetric Matrices / Kernel, Range, Nullity, Rank / Least squares and Singular Values
- Linear Algebra / Hefferon Free text for standard first Linear Algebra course. Covers linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Use as main text, supplement, or independent study.
- Linear Algebra Done Wrong / Treil This text was written for a first-year honors Linear Algebra course which emphasized proofs.
- Linear Algebra: Theory and Applications / Kuttler Contents: Preliminaries / Linear Transformations / Determinants / Row Operations / Some Factorizations / Spectral Theory / Vector Spaces And Fields / Linear Transformations / Canonical Forms / Markov Processes / Inner Product Spaces / Self Adjoint Operators / Norms / Numerical Methods, Eigenvalues
- Linear Algebra with Applications / Nicholson Contents: Systems of Linear Equations / Matrix Algebra / Determinants and Diagonalization / Vector Geometry / Vector Space R / Vector Spaces / Linear Transformations / Orthogonality / Change of Basis / Inner Product Spaces / Canonical Forms

- Elementary Differential Equations with Boundary Value Problems / Trench For students in science, engineering, and mathematics who have completed calculus through partial differentiation.
- Notes on Diffy Qs: Differential Equations for Engineers / Lebl Contents: First order ODEs / Higher order linear ODEs / Systems of ODEs / Fourier series and PDEs / Eigenvalue problems / The Laplace transform / Power series methods / Nonlinear systems
- Ordinary Differential Equations / Wiggins Contents: Getting Started: The Language of ODEs / Special Structure and Solutions of ODEs / Behavior Near Trajectories and Invariant Sets: Stability / Behavior Near Trajectories: Linearization / Behavior Near Equilbria: Linearization / Stable and Unstable Manifolds of Equilibria / Lyapunov's Method and the LaSalle Invariance Principle / Bifurcation of Equilibria, I / Bifurcation of Equilibria, II / Center Manifold Theory (A: Jacobians, Inverses of Matrices, and Eigenvalues - B: Integration of Some Basic Linear ODEs - C: Finding Lyapunov Functions - D: Center Manifolds Depending on Parameters - E: Dynamics of Hamilton's Equations - F: A Brief Introduction to the Characteristics of Chaos)