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Math

A Guide to Assist with Mathematical Concepts and Applications in Basic Math, Algebra, Calculus, Geometry, Trigonometry, and Statistics

Math OER

Math

Open Educational Resources

Basic Math

Basic Math (Illustrative Mathematics - Grade 6) 

textbook

 

An Introduction to the Theory of Numbers (Moser) 

This 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.

 

Fundamentals of Mathematics 

Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra.

Algebra

Pre-Algebra I (Illustrative Mathematics - Grade 7) 

Textbook

 

Fundamentals of Mathematics 

This text covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra.

 

PreAlgebra Contributed by OpenStax 

The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. 

 

Beginning Algebra textbook 

Open Textbook

 

Elementary Algebra (OpenStax) 

textbook

 

Intermediate Algebra Contributed by David Arnold 

textbook

 

Intermediate Algebra 

textbook

 

Advanced Algebra 

textbook

 

College Algebra 

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course.

 

Linear Algebra (Waldron, Cherney, and Denton) 

Linear algebra is the study of vectors and linear transformations. This text is suitable for a sophomore level linear algebra course taught in about twenty-five lectures.

 

Elementary Algebra by Katherine Yoshiwara 

textbook

 

Intermediate Algebra: Functions and Graphs by Katherine Yoshiwara 

textbook

 

Beginning Algebra Made Useful 

Beginning Algebra Made Useful addresses the needs of learners to make sense of algebra by quantifying and generalizing everyday occurrences such as commuting to work, buying gas or pizza, and determining the better deal.

 

Open Resources for Community College Algebra 

 An open-source, openly-licensed textbook package for basic and intermediate algebra. 

 

Basic Algebra, Second Edition

 

Beginning and Intermediate Algebra, 2nd Edition

 

College Algebra

 

Elementary Algebra

 

Intermediate Algebra

 

Prealgebra Textbook, Second Edition

Geometry

Elementary College Geometry (Africk) 

This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses

 

Euclidean Plane and its Relatives (Petrunin) 

This book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalistic.

 

Dimensions (geometry) 

This is a free, online textbook that provides information on dimensions, from longtitude and latitude to the proof of a theorem of geometry.

 

CK-12 Geometry 

This is a free, online textbook offered by the CK-12 Foundation. Although designed for high schools, it could also be used for college freshmen.

 

Geometry with an Introduction to Cosmic Topology

uses Möbius transformations to develop hyperbolic, elliptic, and Euclidean geometries - three possibilities for the global geometry of the universe.

Calculus

Calculus (OpenStax) 

This Textmap guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.

 

Calculus (Guichard) 

This general calculus book covers a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus.

 

Calculus (Apex) 

Textbook contributed by Gregory Hartman et al.

 

Calculus Volume 1 

textbook

 

Calculus Volume 2 

textbook

 

Calculus Volume 3 

textbook

 

Active Calculus 1.0 

Open textbook

 

Elementary Calculus 

This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II.

 

Precalculus: An Investigation of Functions 

a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry.

 

Precalculus 

Open textbook to prepare for calculus.

 

Calculus