Digital library
Textbooks, references and open learning resources.
External
Conservation Laws, Newton's Laws, and Kinematics 2e
Christopher Duston · Merrimack College
In the contents: 14.06: Vector Calculus
External
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
External
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
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Mathematical Reasoning
Pamini Thangarajah · Mount Royal University
In the contents: 3.4: Finite Difference Calculus
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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
In the contents: 01: Unit I - (Numerical) Calculus. Elementary Programming Concepts
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Direct Energy
Andrea M. Mitofsky · Trine University
In the contents: 11: Calculus of Variations
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Waves: An Interactive Tutorial
Kyle Forinash and Wolfgang Christian · LibreTexts
This is a set of interactive tutorials designed to teach the fundamentals of wave dynamics. It starts with very simple wave properties and ends with an examination of nonlinear wave behavior. The emphasis here is on the properties of waves which are difficult to illustrate in a static textbook figure. The tutorial may be used in conjunction with a text or as a stand alone introduction to waves. Exposure to calculus and basic physics is assumed in the latter sections.
External
EGR 1010: Introduction to Engineering for Engineers and Scientists
LibreTexts
In the contents: 14.06: Calculus · 14.07: Infinitesimal calculus for derivatives · 14.08: Infinitesimal Calculus for integration