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Textbooks, references and open learning resources.
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Beginning Algebra
Lumen Learning
This text builds concepts and skills in preparation for student success in subsequent college math courses. Course content includes basic solving equations & inequalities, graphing, solving systems of equations & inequalities, exponents, polynomials, factoring, rational expressions, roots, and rational exponents. With an OER text, aligned OER videos, complete slides, lecture notes, and complete online assessments, this title is a great low-cost alternative to traditional publisher materials.
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Free Energy 1e (Snee)
Preston Snee · University of Illinois Chicago
What is the role of mathematics in Chemistry? We use math to reveal relationships that exist in nature that cannot be determined by any other reasonable means. Often Physical Chemistry is the last stop on the way to your degree, and you probably put this class off till last due to an irrational fear of mathematics. And while it may be true that calculus derivations are not your “thing”, if you’re good at this, you might get a better, higher paying job. So, it’s worth the effort.
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Scientific Computing
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
These notes for Scientific Computing is primarily for Math majors and supposes no previous knowledge of numerical analysis or methods. This course consists of both numerical methods and computational physics. The numerical methods content includes standard topics such as IEEE arithmetic, root finding, linear algebra, interpolation and least-squares, integration, differentiation, and differential equations.
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A Second Course in Ordinary Differential Equations: Dynamical Systems and Boundary Value Problems
Russell Herman · University of North Carolina Wilmington
These are notes for a second course in differential equations, covering linear and nonlinear systems and boundary value problems.
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Math 27: Number Systems for Educators
Ashley McHale · Las Positas College
In the contents: 01: Overview of Elementary Common Core Mathematics · 1.02: The Importance of Mathematics for Elementary School Students · 2.06: Careful Use of Language in Mathematics
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College Algebra and Trigonometry- Expressions, Equations, and Graphs
Holly Carley and Ariane Masuda · New York City College of Technology
This page is under construction. The thumbnail was courtesy of https://www.freepnglogos.com/pics/under-construction. This is a work in early stages which is a reworking of College Algebra with Trigonometry. It is intended to differ in treatment from other texts on the subject.
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Combinatorics Through Guided Discovery
Kenneth P. Bogart · Dartmouth University
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem.
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Math 3AC: Analytic Geometry and Calculus I
Kenn Huber · Irvine Valley College
A new take on the classic mathematical approach of learning Precalculus and Calculus separately, this book merges the two topics together. Using calculus notation to inspire the precalculus examples helps students of either a Precalculus or Calculus with support course.
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Elementary Number Theory
Wissam Raji · American University of Beirut
The notes contain a useful introduction to important topics that need to be addressed in a course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors with the exception in the last three chapters where a background in analysis, measure theory and abstract algebra is required. The exercises are carefully chosen to broaden the understanding of the concepts.
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MTH 60: Algebra 1
Math Department · Clackamas Community College
This course develops core algebra skills, beginning with number sense and operations with variables, then advancing to solving equations and inequalities, interpreting and creating graphs, and working with systems of equations. Emphasis is placed on understanding relationships between quantities, modeling real-world situations, and applying logical, step-by-step problem-solving strategies.
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MATH 2514 Calculus III
LibreTexts
A standard course in multivariable calculus that starts with vectors operations and vector-valued functions, continues through functions of multiple variables, partial derivatives, multiple integration, vector fields, and vector theorems.
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MA148: Calculus with Applications
Benjamin Bunck · Butler Community College
MA148 - Calculus with Applications. This course will enable the student to differentiate and integrate algebraic, logarithmic and exponential functions and apply those concepts to real-world business and social-science applications, including marginal analysis. This content is a remix of the Applied Calculus text by Calaway, Hoffman, and Lippman. The primary change to the LibreText edition has been to separate the "chapter" exercise sets into smaller exercise sets for each individual section.
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Math C160: Introduction to Statistics Lisa Lee
Coastline College · Math C160: Introduction to Statistics (Lee)
Statistical topics covered include collecting of data, sampling, probability, hypothesis testing, analyzing of variance, correlation and regression, nonparametric testing, and correlating for application in the natural sciences, social sciences, business, and management. Use of statistical technology will be introduced.
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MAT 04A: Multivariable Calculus (Reed)
Robert Reed · Mission College
LibreTexts
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Polynomial Interpolations on Time Scales
Svetlin G. Georgiev · Sorbonne University
Polynomial interpolation is a very useful tool employed in many areas of science in which a given set of data needs to be represented by a function, in particular, by a polynomial taking the given values at the points of the given data set.
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Elementary Algebra
Wade Ellis & Denny Burzynski · LibreTexts
Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.
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Riemann-Stieltjes Integration on Time Scales
Svetlin G. Georgiev · Sorbonne University
S. Hilger introduced in 1990 the calculus on time scales or on measure chains.This kind of calculus showed the possibility to manage dynamic equations considering a very wide range of time scales transforming in this way the differential and difference calculus into special cases of a more general one. Examples of time scales are the real numbers, the integers, the sets having cluster points or even such as the Cantor set. In this cycle we study the process of Riemann-Stieltjes delta integrati
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CLP-3 Multivariable Calculus
Joel Feldman, Andrew Rechnitzer, & Elyse Yeager · University of British Columbia
This textbook covers multivariable Calculus. There are chapters on vectors and geometry in 2 and 3 dimensions, partial derivatives, and multivariable integrals.
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Math 141: Precalculus I (old edition)
LibreTexts
This text prepares students for the calculus sequence. Real-valued functions, including techniques for graphing polynomial, rational, piecewise, exponential, and logarithmic functions. The text also includes circles, basic function properties, nonlinear inequalities, and complex numbers.
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MAT 2410: Calculus 1
Peggy Beck · Prince George's Community College
This texts address a three-semester sequence of university-level calculus for a variety of majors including, but not exclusive to, science, engineering, and mathematics. It provides an introduction to single variable calculus; study of limits, continuity, differentiation and its applications, definite and indefinite integrals and the Fundamental Theorem of Calculus.