Digital library
Textbooks, references and open learning resources.
External
Applied Linear Algebra and Differential Equations
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
In the contents: 4.04: Use of Determinants in Vector Calculus
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Lebesgue Integration on Time Scales
Svetlin G. Georgiev · Sorbonne University, Paris, France
In the contents: 13: The Fundamental Theorem of Calculus
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Math 4: Differential Equations (Dinh)
Hung Dinh · Chabot College
In the contents: 9.1.07: The Fundamental Theorem of Calculus
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Electricity and Magnetism with Applications to Amateur Radio and Wireless Technology
Ronald Kumon · Kettering University
This textbook provides a calculus-based introduction to electricity and magnetism with an emphasis on applications to amateur radio and wireless technology.
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Thermodynamics and Chemistry
Howard DeVoe · University of Maryland
In the contents: 1.02: Quantity Calculus · 15.05: Appendix E- Calculus Review
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Mathematical Methods
Pamini Thangarajah · Mount Royal University
In the contents: 5.2: Calculus of Vector-Valued Functions · 9: Vector Calculus
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Statistical Mechanics
Daniel F. Styer · Oberlin College
In the contents: 3.04: Multivariate Calculus
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Differential Equations
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
In the contents: 1.07: The Fundamental Theorem of 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.
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Introduction to the Modeling and Analysis of Complex Systems
Hiroki Sayama · Binghamton University, State University of New York
In the contents: 13.02: Fundamentals of Vector Calculus
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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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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.