- Find Information
- Research Guides
- OER for Core Curriculum
OER for Core Curriculum
Open educational resources for UTSA's core curriculum
- Getting Started: Finding OERToggle Dropdown
- Evaluating OER
- American History
- Communication
- Component Area Option
- Creative ArtsToggle Dropdown
- First Year Experience
- Government-Political Science
- Language, Philosophy and CultureToggle Dropdown
- Life and Physical SciencesToggle Dropdown
- Mathematics
- Social and Behavioral SciencesToggle Dropdown
MAT 1023
College Algebra with Applications
-
College Algebra by OpenStax College
ISBN: 1938168380Publication Date: 2020-02-12College 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 OpenStax
ISBN: 099862571XPublication Date: 2020-02-06Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester 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.
-
American Institute of MathematicsA list of open textbooks by course title. All the books have been judged to meet the evaluation criteria set by the AIM editorial board.
-
MIT Open Courseware MathematicsMIT Open Courseware offers an extensive series of online courses. Courses generally include lecture videos, assignments, exams, and more for math.
-
myOpenMathMyOpenMath is designed for mathematics, providing delivery of homework, quizzes, and tests with rich mathematical content. Students can receive immediate feedback on algorithmically generated questions with numerical or algebraic expression answers. And it can do so much more, providing a full course management system, including file posting, discussion forums, and a full gradebook, all designed with mathematics in mind.
-
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.
MAT 1043
Introduction to Mathematics
-
Geometry with an Introduction to Cosmic Topology by Michael Hitchman
ISBN: 9781717134813Publication Date: 2018-06-08Motivated 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. -
An Introduction to the Theory of Numbers by Leo Moser
ISBN: 9781931705011Publication Date: 2004-01-01This 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. -
A Spiral Workbook for Discrete Mathematics 2nd ed by Harris KwongISBN: 9781956862010Publication Date: 2024-03-25A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.
MAT 1053
Mathematics for Business
-
Introduction to Financial Mathematics: Concepts and Computational Methods by Arash Fahim
Publication 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. -
A Spiral Workbook for Discrete Mathematics 2nd ed by Harris KwongISBN: 9781956862010Publication Date: 2024-03-25A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.
MAT 1073
Algebra for Scientists and Engineers
-
College Algebra by OpenStax College
ISBN: 1938168380Publication Date: 2020-02-12College 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.
-
American Institute of MathematicsA list of open textbooks by course title. All the books have been judged to meet the evaluation criteria set by the AIM editorial board.
-
myOpenMathMyOpenMath is designed for mathematics, providing delivery of homework, quizzes, and tests with rich mathematical content. Students can receive immediate feedback on algorithmically generated questions with numerical or algebraic expression answers. And it can do so much more, providing a full course management system, including file posting, discussion forums, and a full gradebook, all designed with mathematics in mind.
-
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.
MAT 1093, 1214, & 1224
Precalculus, Calculus I & Calculus II
-
Calculus Volume 1 by OpenStax
ISBN: 193816802XPublication Date: 2020-02-18Calculus 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 Volume 2 by OpenStax
ISBN: 1938168062Publication Date: 2020-02-14Calculus 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 Volume 3 by OpenStax
ISBN: 1938168070Publication Date: 2020-01-16Calculus 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. -
Precalculus by OpenStax College
ISBN: 1938168348Publication Date: 2020-02-12Precalculus 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.
-
American Institute of MathematicsA list of open textbooks by course title. All the books have been judged to meet the evaluation criteria set by the AIM editorial board.
-
myOpenMathMyOpenMath is designed for mathematics, providing delivery of homework, quizzes, and tests with rich mathematical content. Students can receive immediate feedback on algorithmically generated questions with numerical or algebraic expression answers. And it can do so much more, providing a full course management system, including file posting, discussion forums, and a full gradebook, all designed with mathematics in mind.
STA 1053 / MS 1023/3043
Business Statistics with Computer Applications I&II
-
Introductory Business Statistics by Alexander Holmes, Barbara Illowsky, Susan Dean
ISBN: 9781947172470Publication Date: 2020-01-16Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences. -
Introductory Statistics by Barbara Illowsky; Susan Dean
ISBN: 1938168208Publication Date: 2020-01-10Introductory Statistics follows the scope and sequence of a one-semester, 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. -
Introductory Statistics by David Stockburger
ISBN: 1931442029Publication Date: 2016Material presented in the following pages represents over twenty years of experience in teaching the material contained therein. The high price of textbooks and a desire to customize course material for my own needs caused me to write this material. The major features of the text include: Development of the concept of creating mathematical models of the world; An extensive treatment of measurement and measurement scales as a model-building procedure; A slightly different organizational scheme than most introductory texts, with material presented in the following order: frequency polygons, models of frequency polygons, the normal curve, and then statistics. In addition, the presentation of transformations, linear transformations, and then linear regression follows a natural progression of material; Elimination of almost all computational formulas along with a general discussion of how to use a statistical calculator. This has been taken a step further in the Web Edition of the text as it is now possible to eliminate tables, such as the normal curve table, and all the computational procedures that go with them; This Web Edition presents copious examples of the use of SPSS/WIN 7.0 to do statistical procedures; The presentation of hypothesis testing as a process of testing mathematical models of the world. -
OpenIntro Statistics by David Diez, Harvard School of Public Health Christopher Barr, Harvard School of Public Health Mine Cetinkaya-Rundel, Duke University
Publication Date: 2012OpenIntro Statistics strives to be a complete introductory textbook of the highest caliber. Its core derives from the classic notions of statistics education and is extended by recent innovations. The textbook meets high quality standards and has been used at Princeton, Vanderbilt, UMass Amherst, and many other schools. -
Statistical Thinking for the 21st Century by Russell A. Poldrack
Publication Date: 2018Statistical thinking is a way of understanding a complex world by describing it in relatively simple terms that nonetheless capture essential aspects of its structure, and that also provide us some idea of how uncertain we are about our knowledge. The foundations of statistical thinking come primarily from mathematics and statistics, but also from computer science, psychology, and other fields of study. -
HyperStat Online: Rice Virtual Lab in Statistics by Lane, David at Rice University
Online statistics open textbook and additional resources to assist students in understanding of statistics. Topics covered include Analysis of Variance, Boxplot, Confidence interval, Contrast among means, Correlated t-test, Correlation, Histogram, Independent groups t-test, Regression, Repeated measures ANOVA, and t-test.
The applets in the simulations, demonstrations, an d caste studiesare in the public domain and can therefore be used without restriction. Simulations and demonstrations and source code are available for download.
-
Rice Virtual Lab in StatisticsOnline statistics open textbook and additional resources to assist students in understanding of statistics. Topics covered include Analysis of Variance, Boxplot, Confidence interval, Contrast among means, Correlated t-test, Correlation, Histogram, Independent groups t-test, Regression, Repeated measures ANOVA, and t-test.
The applets in the simulations, demonstrations, an d caste studiesare in the public domain and can therefore be used without restriction. Simulations and demonstrations and source code are available for download.