Digital library
Textbooks, references and open learning resources.
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Interactive Calculus Q1
Larry Green · Lake_Tahoe_Community_College
In the contents: 2.02: A Preview of Calculus
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Math C170: Precalculus (Tran)
Chau D. Tran · Coastline College
In the contents: 12: Introduction to Calculus · 12.01: Prelude to Calculus · 12.E: Introduction to Calculus (Exercises)
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Math C180: Calculus I
Michael Everett · Coastline College
In the contents: 2.02: A Preview of Calculus · 5.03: The Fundamental Theorem of Calculus
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Elementary Calculus 2e
Michael Corral · Schoolcraft College
In the contents: 03: Topics in Differential Calculus · 5.03: The Fundamental Theorem of Calculus
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Interactive Calculus Q2
Larry Green · Lake_Tahoe_Community_College
In the contents: 1.03: The Fundamental Theorem of Calculus · 2.10: Calculus of the Hyperbolic Functions
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Math C280: Calculus III
Chau D. Tran · coastline
In the contents: 2.02: The Calculus of Vector-Valued Functions · 2.03: The Calculus of Vector-Valued Functions II
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PHYS 2040: General Physics
Neeharika Thakur · Prince George's Community College
This text addresses a calculus-based survey of simple harmonic motion, mechanical and electromagnetic waves, optics, relativity, and modern physics.
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Applied Probability
Paul Pfeiffer · Rice University
This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation.
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Riemann-Stieltjes Integration on Time Scales
Svetlin G. Georgiev · Sorbonne University
S. Hilger introduced in 1990 the calculus on time scales or on measure chains.This kind of calculus showed the possibility to manage dynamic equations considering a very wide range of time scales transforming in this way the differential and difference calculus into special cases of a more general one. Examples of time scales are the real numbers, the integers, the sets having cluster points or even such as the Cantor set. In this cycle we study the process of Riemann-Stieltjes delta integrati
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PGCC: PHYS 2030 - General Physics
Neeharika Thakur · Prince George's Community College
This text addresses a calculus-based survey of kinetic theory, thermodynamics, electricity, and magnetism and electromagnetic phenomena. For science/engineering transfers.
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Understanding Linear Algebra
David Austin · Grand Valley State University
This book arises from my belief that linear algebra, as presented in a traditional undergraduate curriculum, has for too long lived in the shadow of calculus. Many mathematics programs currently require their students to complete at least three semesters of calculus, but only one semester of linear algebra, which often has two semesters of calculus as a prerequisite.
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Transition to Higher Mathematics
Bob Dumas and John E. McCarthy · University of Washington and Washington University in St. Louis
This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study.
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Introduction to Mathematical Analysis I
Lafferriere, Lafferriere, and Nguyen · LibreTexts
Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
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A Primer of Real Analysis
Dan Sloughter · Furman University
In the contents: 7.05: The Fundamental Theorem of Calculus
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Applied Geometric Algebra (Tisza)
László Tisza · Massachusetts Institute of Technology
In the contents: 04: Spinor Calculus
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Elementary Trigonometry
Richard W. Beveridge · Clatsop Community College
Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.
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Trigonometry
Katherine Yoshiwara · Los Angeles Pierce College
This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.
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University Physics III: Optics & Modern Physics
OpenStax · LibreTexts
University Physics is designed for the two- or three-semester calculus-based physics course. This volume explores optics and modern physics, beginning with how light behaves through reflection, refraction, interference, and diffraction. It then moves into relativity and quantum mechanics, introducing photons, matter waves, and atomic structure. The text also covers condensed matter, nuclear physics, and cosmology, linking theory to technologies like lasers, semiconductors, and medical imaging.
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Math 175: Plane Trigonometry
LibreTexts
This course is designed for students who are majoring in math, science, and engineering. This course equips students with the skills necessary for success in pre-calculus. It presents the concepts of plane trigonometry using a functions approach. Included is a study of basic relations, functions, and transformations, as well as circular functions, trigonometric functions of angles, identities, inverse functions and their equations and solutions of triangles.
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All Things Flow - Fluid Mechanics for the Natural Sciences
Bill Smyth · Oregon State University
In the contents: 04: Tensor Calculus · 4.01: Vector calculus operations