Digital library
Textbooks, references and open learning resources.
External
Variational Principles in Classical Mechanics
Douglas Cline · University of Rochester
In the contents: 05: Calculus of Variations · 5.01: Introduction to the Calculus of Variations · 5.08: Generalized coordinates in Variational Calculus
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Differential Equations for Engineers
Jiří Lebl · Oklahoma State University
A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence.
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Introduction to Partial Differential Equations
Russell Herman · University of North Carolina Wilmington
In the contents: 11: A - Calculus Review - What Do I Need to Know From Calculus? · 11.01: What Do I Need To Know From Calculus
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An Introduction to Matlab and Mathcad
Troy Siemers · Virginia Military Institute
In the contents: 17: Mathcad Calculus and Symbolics · 17.01: Calculus
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Math 420: Differential Equations
Ron Breitenbach · Cosumnes College
This text is written for students in science, engineering, and mathematics who have completed single variable calculus. This course will cover the theory and the applications of the solutions of ordinary differential equations and systems of ordinary differential equations. The course will introduce students to various topics useful in the solution of differential equations including power series, Laplace transforms, matrices, eigenvalues and eigenvectors, and numerical methods.
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Conservation Laws, Newton's Laws, and Kinematics 2e
Christopher Duston · Merrimack College
In the contents: 14.06: Vector Calculus
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Chem 4A: General Chemistry for Majors I
LibreTexts · UC Davis
CHE 4A is the "for majors" version of General Chemistry. It covers the same material as CHE 2A but in more depth and with more complex examples. This course is for students who feel confident in their foundational chemistry knowledge. Although not required, it is also advisable for students to have completed a year of high school physics and be ready for a calculus-level mathematics course.
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Phys 111: Physics, Symmetry, and Conservation
Mitch Powers · Gettysburg College
In the contents: 2.2.01: Vector Calculus
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MAT 310 Bridge to Advanced Mathematics
Richard Hammack · Virginia Commonwealth University
In the contents: 13: Proofs in Calculus
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Math 384: Lecture Notes
Roy Simpson · Cosumnes River College
In the contents: 4.04: Rational Exponent Expressions Encountered in Calculus
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Elementary Differential Equations with Boundary Values Problems
William F. Trench · Trinity University
This text is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. This book is intended to serve as the book for students in MAT 266 Differential Equations with Linear Algebra at Community College of Denver.
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Mathematics for Business and Policy
Michael Hill and Andrew Jenkins · Indiana University
In the contents: 01: Precalculus
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PHIL 310: Introduction to Ethics
Christian Bauer · Folsom Lake College
In the contents: 1.1.06: Hedonic Calculus
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A First Course in Differential Equations for Scientists and Engineers
Russell Herman · University of North Carolina Wilmington
In the contents: 08: Appendix Calculus Review
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Introductory Physics: Building Models to Describe Our World
Ryan D. Martin, Emma Neary, Joshua Rinaldo, and Olivia Woodman · Queen's University
In the contents: 3.03: Using Calculus to Describe Motion · 17.04: Interpretation of Gauss Law and vector calculus · 26: Calculus
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A Notebook for Topics in Thermodynamics of Solutions and Liquid Mixtures
Michael J Blandamer & Joao Carlos R Reis · University of Leicester & Faculdade de Ciencias
In the contents: 1.14.08: Calculus
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Complex Variables with Applications
Jeremy Orloff · Massachusetts Institute of Technology
In the contents: 03: Multivariable Calculus (Review)
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FCC DS 21 Finite Mathematics - Spring 2023
JoEllen Green · Fresno City College
In the contents: 05: Introduction to Calculus · 5.01: Prelude to Calculus · 5.E: Introduction to Calculus (Exercises)
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Fundamental Methods of Logic
Matthew Knachel · University of Wisconsin - Milwaukee
In the contents: 6.01: The Probability of Calculus
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Elementary Foundations: An Introduction to Topics in Discrete Mathematics
Jeremy Sylvestre · University of Alberta Augustana
In the contents: 2.02: Propositional Calculus