 Find Information
 Research Guides
 UTSA OER: Course Matches
UTSA OER: Course Matches
Guide matching open educational resources to UTSA courses.
 Plan for OER
 OER for Faculty
 Multidisciplinary OER Repositories
 BusinessToggle Dropdown
 EducationToggle Dropdown
 EngineeringToggle Dropdown
 Humanities & the ArtsToggle Dropdown
 Public PolicyToggle Dropdown
 Sciences
 Social SciencesToggle Dropdown
 Writing
 University College/Academic Inquiry
 Creative Commons Licenses
 About OER
 OER Legislation: Texas
MAT 0203: Basic Mathematics

Geometry with an Introduction to Cosmic Topology by Michael HitchmanISBN: 9781717134813Publication Date: 20180608Motivated by questions in cosmology, the 2018 edition of Geometry with an Introduction to Cosmic Topology follows the Erlangen program to develop hyperbolic, elliptic, and Euclidean geometry  three possibilities for the global geometry of the universe. The text uses Mobius transformations in the extended complex plane to define and investigate these three candidate geometries, thereby providing a natural setting in which to express results common to them all, as well as results that encapsulate key differences. With these geometries in hand, the text then explores the interplay between the shape of a space and the type of geometry it admits. It is written to be suitable for a one semester course in geometry or as a guide to independent study, with over 200 exercises and several essays on topics such as the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.
MAT 0213: Intermediate Algebra

College Algebra by OpenStax CollegeISBN: 1938168380Publication Date: 20200212College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra 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.

Elementary Algebra by OpenStaxISBN: 099862571XPublication Date: 20200206Elementary Algebra is designed to meet the scope and sequence requirements of a onesemester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The 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 Textbook College of the RedwoodsPublication Date: 2017This textbook contains 9 chapters including exercises and solutions. Topics covered are: Number Systems, Solving Equations, Logic, Compound Inequalities, Functions, Linear Functions, Slope, Absolute Value Functions, Quadratic Functions, Polynomial Functions, Rational Functions, Exponential and Logarithmic Functions, and Radical Functions.

Prealgebra by OpenStax CollegeISBN: 1938168992Publication Date: 20200207Prealgebra is designed to meet scope and sequence requirements for a onesemester prealgebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text 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.

OpenStax Instructor Resources College AlgebraIncludes a getting started guide, sample syllabus language, instructor solution guide, supplemental test items, Powerpoint slides, iBooks comp copy assessment bank, and more. Must register for a faculty login to access.

Intermediate Algebra Tutorials West Texas A&MThis site includes more than 40 tutorials in Intermediate Algebra topics with practice tests and answer keys. The site is designed to assist the user in preparing for math placement tests and the math portion of the GRE.
Library Quick Search
eBooksMAT 1023: College Algebra w/Applications

College Algebra by OpenStax CollegeISBN: 1938168380Publication Date: 20200212College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra 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.

Elementary Algebra by OpenStaxISBN: 099862571XPublication Date: 20200206Elementary Algebra is designed to meet the scope and sequence requirements of a onesemester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The 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.

OpenStax Instructor Resources College AlgebraIncludes a getting started guide, sample syllabus language, instructor solution guide, supplemental test items, Powerpoint slides, iBooks comp copy assessment bank, and more. Must register for a faculty login to access.
Library Quick Search
eBooksMAT 1033: Algebra with Calculus for Business

Calculus Volume 1 by OpenStaxISBN: 193816802XPublication Date: 20200218Calculus is designed for the typical two or threesemester 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.

College Algebra by OpenStax CollegeISBN: 1938168380Publication Date: 20200212College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra 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.

Elementary Algebra by OpenStaxISBN: 099862571XPublication Date: 20200206Elementary Algebra is designed to meet the scope and sequence requirements of a onesemester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The 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.

Introduction to Financial Mathematics: Concepts and Computational Methods by Arash FahimPublication Date: 2019Introduction to Financial Mathematics: Concepts and Computational Methods serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like. The goal of the book is to expose the reader to a wide range of basic problems, some of which emphasize analytic ability, some requiring programming techniques and others focusing on statistical data analysis. In addition, it covers some areas which are outside the scope of mainstream financial mathematics textbooks. For example, it presents marginal account setting by the CCP and systemic risk, and a brief overview of the model risk. Inline exercises and examples are included to help students prepare for exams on this book.

Math in Society by Lippman, DavidPublication Date: 2013This book is a survey of contemporary mathematical topics, most nonalgebraic, appropriate for a collegelevel topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for inclass, group, or individual investigation.

OpenStax Instructor Resources College AlgebraIncludes a getting started guide, sample syllabus language, instructor solution guide, supplemental test items, Powerpoint slides, iBooks comp copy assessment bank, and more. Must register for a faculty login to access.
Library Quick Search
eBooksMAT 1043: Introduction to Mathematics

An Introduction to the Theory of Numbers by Leo MoserISBN: 9781931705011Publication Date: 20040101This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text.

Geometry with an Introduction to Cosmic Topology by Michael HitchmanISBN: 9781717134813Publication Date: 20180608Motivated by questions in cosmology, the 2018 edition of Geometry with an Introduction to Cosmic Topology follows the Erlangen program to develop hyperbolic, elliptic, and Euclidean geometry  three possibilities for the global geometry of the universe. The text uses Mobius transformations in the extended complex plane to define and investigate these three candidate geometries, thereby providing a natural setting in which to express results common to them all, as well as results that encapsulate key differences. With these geometries in hand, the text then explores the interplay between the shape of a space and the type of geometry it admits. It is written to be suitable for a one semester course in geometry or as a guide to independent study, with over 200 exercises and several essays on topics such as the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.
MAT 1053: Mathematics for Business

Introduction to Financial Mathematics: Concepts and Computational Methods by Arash FahimPublication Date: 2019Introduction to Financial Mathematics: Concepts and Computational Methods serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like. The goal of the book is to expose the reader to a wide range of basic problems, some of which emphasize analytic ability, some requiring programming techniques and others focusing on statistical data analysis. In addition, it covers some areas which are outside the scope of mainstream financial mathematics textbooks. For example, it presents marginal account setting by the CCP and systemic risk, and a brief overview of the model risk. Inline exercises and examples are included to help students prepare for exams on this book.
MAT 1073: Algebra Scientists & Engineers

College Algebra by OpenStax CollegeISBN: 1938168380Publication Date: 20200212College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra 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.

OpenStax Instructor Resources College AlgebraIncludes a getting started guide, sample syllabus language, instructor solution guide, supplemental test items, Powerpoint slides, iBooks comp copy assessment bank, and more. Must register for a faculty login to access.
Library Quick Search
eBooksMAT 1093 Precalculus; MAT 1214 Calculus I; MAT 1224 Calculus II

Calculus Volume 1 by OpenStaxISBN: 193816802XPublication Date: 20200218Calculus is designed for the typical two or threesemester 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 Volume 2 by OpenStaxISBN: 1938168062Publication Date: 20200214Calculus is designed for the typical two or threesemester 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 Volume 3 by OpenStaxISBN: 1938168070Publication Date: 20200116Calculus is designed for the typical two or threesemester 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 secondorder differential equations.

Precalculus by OpenStax CollegeISBN: 1938168348Publication Date: 20200212Precalculus 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 twosemester collegelevel precalculus course. The content is organized by clearlydefined learning objectives, and includes worked examples that demonstrate problemsolving approaches in an accessible way.
Library Quick Search
eBooksMAT 3123: Essentials of Geometry

Geometry with an Introduction to Cosmic Topology by Michael HitchmanISBN: 9781717134813Publication Date: 20180608Motivated by questions in cosmology, the 2018 edition of Geometry with an Introduction to Cosmic Topology follows the Erlangen program to develop hyperbolic, elliptic, and Euclidean geometry  three possibilities for the global geometry of the universe. The text uses Mobius transformations in the extended complex plane to define and investigate these three candidate geometries, thereby providing a natural setting in which to express results common to them all, as well as results that encapsulate key differences. With these geometries in hand, the text then explores the interplay between the shape of a space and the type of geometry it admits. It is written to be suitable for a one semester course in geometry or as a guide to independent study, with over 200 exercises and several essays on topics such as the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.
MAT 3633: Numerical Analysis

First Semester in Numerical Analysis with Julia by Giray ÖktenPublication Date: 2019First Semester in Numerical Analysis with Julia presents the theory and methods, together with the implementation of the algorithms using the Julia programming language (version 1.1.0). The book covers computer arithmetic, rootfinding, numerical quadrature and differentiation, and approximation theory. The reader is expected to have studied calculus and linear algebra. Some familiarity with a programming language is beneficial, but not required. The programming language Julia will be introduced in the book. The simplicity of Julia allows bypassing the pseudocode and writing a computer code directly after the description of a method while minimizing the distraction the presentation of a computer code might cause to the flow of the main narrative.

Tea Time Numerical Analysis by Leon BrinPublication Date: 2016This textbook was born of a desire to contribute a viable, free, introductory Numerical Analysis textbook for instructors and students of mathematics. The ultimate goal of Tea Time Numerical Analysis is to be a complete, onesemester, singlepdf, downloadable textbook designed for mathematics classes. Now includes differential equations.
MAT 4213 & 4223: Real Analysis I & II

Mathematical Analysis I by Elias ZakonISBN: 978193170502XPublication Date: 2004This awardwinning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.
STA 1053: Basic Statistics

Introductory Statistics by Barbara Illowsky; Susan DeanISBN: 1938168208Publication Date: 20200110Introductory Statistics follows the scope and sequence of a onesemester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it.

Introduction to Statistics Open Course LibraryIn this course, we will introduce some of the more common tools for analyzing data of several types. We are not aiming at introducing all or even most of them. The main goal of the course is to highlight the general assumptions and methods that underlie all statistical analysis. The purpose is to get a good understanding of the scope, and
the limitations of these methods. We also want to learn as much as possible about the assumptions behind the most common methods, in order to evaluate if they apply with reasonable accuracy to a given situation. 
Introduction to Statistics Lumen LearningThis course blends Introductory Statistics from OpenStax with other OER to offer a first course in statistics intended for students majoring in fields other than mathematics and engineering. This course assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of the OpenStax text is Collaborative Statistics, by Barbara Illowsky and Susan Dean. The development choices for this textbook were made with the guidance of many faculty members who are deeply involved in teaching this course. These choices led to innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful, so that students can draw from it a working knowledge that will enrich their future studies and help them make sense of the world around them.