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Textbooks, references and open learning resources.
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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.
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Real Analysis
Eugene Boman & Robert Rogers · Pennsylvania State University & SUNY Fredonia
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.
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APEX PreCalculus
Amy Givler Chapman, Meagan Herald, Jessica Libertini · Virginia Military Institute
This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses.
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Math 10: Elementary Statistics
Zoya Kravets · Mission College
Students study and demonstrate knowledge and understanding of descriptive and inferential statistics including data analysis, correlation and linear regression, probability, probability distributions and assorted hypothesis testing. Particular emphasis is placed on applications.
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An Introduction to Proof via Inquiry-Based Learning
Dana Ernst · Northern Arizona University
This book is intended to be used for a one-semester/quarter introduction to proof course (sometimes referred to as a transition to proof course). The purpose of this book is to introduce the reader to the process of constructing and writing formal and rigorous mathematical proofs. The intended audience is mathematics majors and minors. However, this book is also appropriate for anyone curious about mathematics and writing proofs.
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Math 142: Precalculus II
LibreTexts
This text prepares students for calculus sequence. Concepts, properties and algebra of trigonometric functions, including their graphs, inverses, laws of sines and cosines, identities and equations. The text also covers vectors, polar coordinates and conic sections.
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MATH 011: Math Concepts for Elementary School Teachers – Number Systems
Melissa Flora · College of the Desert
In the contents: 11.01: Careful Use of Language in Mathematics
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MAT 1350: Precalculus Part I
Jay Abramson · Prince George's Community College
Algebra is the study of mathematical symbols and the rules for manipulating these symbols. It is a unifying thread of almost all of mathematics. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.
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MAT 206Precalculus
Borough of Manhattan Community College · LibreTexts
OpenStax Precalculus text, modified for MAT 206-1202, Professor Margaret Dean, Mathematics Department, BMCC/CUNY
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Vector Calculus
Michael Corral · Schoolcraft College
The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus. Vector calculus is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space. The content in this Textmap is complemented by Vector Calculus Modules in the Core and the Vector Calculus (UCD Mat 21D) Libretext.
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Understanding Linear Algebra
David Austin · Grand Valley State University
This book arises from my belief that linear algebra, as presented in a traditional undergraduate curriculum, has for too long lived in the shadow of calculus. Many mathematics programs currently require their students to complete at least three semesters of calculus, but only one semester of linear algebra, which often has two semesters of calculus as a prerequisite.
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Elementary Number Theory
Mike Barrus & W. Edwin Clark · University of Rhode Island
The great Carl Friedrich Gauss once wrote, "Mathematics is the queen of sciences and arithmetic the queen of mathematics." What Gauss called arithmetic, we now call number theory. This text is an extensive update of an original manuscript by Professor W. Edwin Clark (now Emeritus) of the University of South Florida, written in 2002 and made freely available on his website. It is designed for a one-semester undergraduate course and for self study.
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Math 400: Calculus I - Differential Calculus
Roy Simpson · Cosumnes River College
This text explores the basic concepts of analytic geometry, limits (including indeterminate forms), derivatives, and integrals. The topics covered will include graphs, derivatives, and integrals of algebraic, trigonometric, exponential, logarithmic, and hyperbolic functions. Standard proofs will be covered, such as delta-epsilon proofs and proofs of some theorems. Applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, and optimization.