Digital library
Textbooks, references and open learning resources.
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FCC DS 21 Finite Mathematics - Spring 2023
JoEllen Green · Fresno City College
In the contents: 06: Mathematics of Finance
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Mathematics for Elementary Teachers
Jennifer Moorhouse · Hartnell College
In the contents: 1.06: Careful Use of Language in Mathematics
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Math C280: Calculus III
Michael Everett · Coastline College
LibreTexts
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Math 300: Mathematical Ideas Textbook
LibreTexts
LibreTexts
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Math 4A: Multivariable Calculus
Kenn Huber · Irvine Valley College
This textbook covers a standard course in multivariable calculus. Studies include the three dimensional space, vectors, space curves, surfaces, multivariable functions, limits, partial derivatives, tangent planes, extrema, double and triple integration, changes of variables, line integrals, surface integrals, and the four major Theorems to connect these topics.
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Finite Math (SJDC M20) v2
Jacquelynn Schwegel · San Joaquin Delta College
In the contents: 04: All Things Math of Finance · 4.7.06: Practice Classifying Math of Finance Problems
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Math C180: Calculus I (Nguyen)
Math C180: Calculus I · Son Nguyen
This is the first course in the calculus sequence. It satisfies the requirement for majors in mathematics, science, or engineering. Topics include limits, derivatives of algebraic and transcendental functions, applications of derivatives, indefinite integrals, definite integrals, the Fundamental Theorem of Calculus, and applications of integration.
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MATH 345 - Probability (Kuter)
Kristin Kuter · Saint Mary's College
LibreTexts
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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, Numerics, and Programming (for Mechanical Engineers)
Masayuki Yano, James Douglass Penn, George Konidaris, & Anthony T Patera · Massachusetts Institute of Technology
This text introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches.