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Textbooks, references and open learning resources.
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MATH 241: Calculus 3
Justin Wyss-Gallifent · University of Maryland
An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss.
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MATH 2150: Higher Arithmetic
Pamini Thangarajah · Mount Royal University
This course explores elementary number theory, numeration systems, operations on integers and rational numbers, and elementary combinatorics, using both inductive and deductive methods. Emphasis will be placed on the development of clarity and understanding of mathematical processes and ideas, the application of these ideas to problem-solving and the communication of these ideas to other people.
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Elementary Foundations: An Introduction to Topics in Discrete Mathematics
Jeremy Sylvestre · University of Alberta Augustana
In the contents: 6.02: Common mathematical statements · 07: Proof by mathematical induction · 7.01: Principle of Mathematical Induction
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MATH 346 - Statistics (Kuter)
Kristin Kuter · Saint Mary's College
LibreTexts
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MATH 110: Techniques of Calculus I
Debbie Gaydos · Penn State University, Greater Allegeheny
Page notifications On picture_as_pdf Readability Cite this page An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.
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Precalculus: Algebra and Trigonometry (Math 4 - FCC)
David Yang, Jeremy Brandl, Laurel Blackerby-Slater, Leila Nabi & Nate Allen · Fresno City College
LibreTexts
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Mathematical Reasoning
Pamini Thangarajah · Mount Royal University
In the contents: 1: Basic Language of Mathematics · 1.0 : Introduction to the Basic Language of Mathematics · 1.E: Basic Language of Mathematics (Exercises)
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Math 4B: Differential Equations
Zoya Kravets · Mission College
Topics include ordinary differential equations, with emphasis on linear equations, and partial differential equations. Methods include Laplace Transforms, power series, Fourier series, numerical solutions and applications.
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Math 287 Differential Equations and Linear Algebra
SeanS Smith · Santa Ana College
LibreTexts
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Math C280: Calculus III
Michael Everett · Coastline College
Multivariable calculus including vectors, vector-valued functions, functions of several variables, partial derivatives, multiple integrals, calculus of vector fields, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.
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Discrete Math with SageMath
Hellen Colman · City Colleges of Chicago
This book is intended to provide concise and complete instructions on how to use Sage to solve problems in Discrete Math for a first or second year undergraduate course for math and computer science majors. Our goal is to streamline the learning process with SageMath. This approach helps students focus more on mathematics and reduces the friction of learning how to code. This is a student-created textbook (Open Pedagogy) for more effective alternative in student learning and engagement.
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Math 3A: Calculus 1
Max Sklar · Mission College
This is the first part of the three-semester calculus sequence. Topics include functions, limits, continuity, differentiation and integration, and applications for polynomial and transcendental functions.
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Intermediate Algebra for Science, Technology, Engineering, and Mathematics
Darlene Diaz · Santiago Canyon College
LibreTexts
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MATH 2E: Multivariable Calculus
LibreTexts
The differential and integral calculus of vector-valued functions. Implicit and inverse function theorems. Line and surface integrals, divergence and curl, theorems of Greens, Gauss, and Stokes.
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Math 245: College Algebra
Edward Pineda-Castro · Los Angeles City College
LibreTexts
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FSW Mathematical Thinking MGF 1130
Cheban Acharya · Florida Southwestern State College
LibreTexts
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Math 100: Liberal Arts Mathematics
Saburo Matsumoto · College of the Canyons
In the contents: 01: Mathematics and Problem-Solving · 02: Mathematics and Numbers · 03: Mathematics and Finance
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Math C285: Linear Algebra and Diffrential Equations (Tran)
Chau D. Tran · Coastline College
LibreTexts
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Proofs and Concepts - The Fundamentals of Abstract Mathematics
Dave Witte Morris & Joy Morris · University of Lethbridge
In the contents: 8.01: The Principle of mathematical induction
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Math 372: College Algebra (Lecture Notes)
Roy Simpson · Cosumnes River College
This course provides a rigorous treatment of college-level algebra and its applications, focusing. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions, the graphs of these functions, and solving equations involving these functions; systems of equations; the theory of polynomial equations; analytic geometry including conics; sequences and series; and mathematical induction. Emphasis is given to analytical reasoning and problem-solving.