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Class Notes and Worksheets for Calculus: Early Transcendentals
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CC BY-NC-SA
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This set of Calculus 1 Lecture Notes and Worksheets was created under a Round Thirteen Mini-Grant for Ancillary Materials Creation and Revision. These materials were created to supplement the Lyrix version of Calculus: Early Transcendentals (https://lyryx.com/calculus-early-transcendentals/).

Subject:
Calculus
Mathematics
Material Type:
Homework/Assignment
Provider:
University of North Georgia
Author:
Bikash Das
Hashim Saber
Date Added:
10/03/2022
Complex Variables with Applications
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CC BY-NC-SA
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The following topics are covered in the course: complex algebra and functions; analyticity; contour integration, Cauchy's theorem; singularities, Taylor and Laurent series; residues, evaluation of integrals; multivalued functions, potential theory in two dimensions; Fourier analysis and Laplace transforms.

Subject:
Algebra
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Rosales, R.
Date Added:
09/01/1999
Complex Variables with Applications
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CC BY-NC-SA
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Complex analysis is a basic tool with a great many practical applications to the solution of physical problems. It revolves around complex analytic functions—functions that have a complex derivative. Unlike calculus using real variables, the mere existence of a complex derivative has strong implications for the properties of the function. Applications reviewed in this class include harmonic functions, two dimensional fluid flow, easy methods for computing (seemingly) hard integrals, Laplace transforms, and Fourier transforms with applications to engineering and physics.

Subject:
Algebra
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Orloff, Jeremy
Date Added:
02/01/2018
Concepts in Calculus II
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CC BY-NC-ND
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From the University of Florida Department of Mathematics, this is the second volume in a three volume presentation of calculus from a concepts perspective. The emphasis is on learning the concepts behind the theories, not the rote completion of problems.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University of Florida
Author:
Miklos Bona
Sergei Shabanov
Date Added:
10/03/2022
Curvature of a Curve: Calculus 3 project by Ryan Taylor
Unrestricted Use
CC BY
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This Project has been completed as part of a standard 10 weeks Calculus 3 asynchronous online course with optional WebEx sessions during Summer 2021 Semester at MassBay Community College, Wellesley Hills, MA.

Subject:
Calculus
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Author:
Igor Baryakhtar
Date Added:
08/03/2021
Elementary Calculus
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Educational Use
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This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
Michael Corral
Date Added:
01/09/2021
Equations of Planes in Space: Calculus 3 project by Anjali Kannan
Unrestricted Use
CC BY
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This Project has been completed as part of a standard 10 weeks Calculus 3 asynchronous online course with optional WebEx sessions during Summer 2021 Semester at MassBay Community College, Wellesley Hills, MA.

Subject:
Calculus
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Author:
Igor Baryakhtar
Date Added:
08/05/2021
Exponential Growth & Decay: Calculus 1 Project by Ignacio Rendon
Unrestricted Use
CC BY
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This Project has been completed as part of a standard 10 weeks Calculus 1 asynchronous online course with optional WebEx sessions during Summer 2021 Semester at MassBay Community College, Wellesley Hills, MA.

Subject:
Calculus
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Author:
Igor Baryakhtar
Date Added:
08/05/2021
Functions of a Complex Variable
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CC BY-NC-SA
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This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (18.100B) is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted.
This course offers biweekly problem sets with solutions, two term tests and a final exam, all with solutions.

Subject:
Calculus
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Helgason, Sigurdur
Date Added:
09/01/2008
Fundamentals of Calculus
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CC BY-SA
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This open-source book by Crowell, Robbin, and Angenent is a spin-off of a previous open-source book by Robbin and Angenent. It covers the first semester of a freshman calculus course.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Light and Matter
Provider Set:
Light and Matter Books
Author:
Crowell, Robin and Angenent
Date Added:
09/03/2015
Highlights of Calculus
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CC BY-NC-SA
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Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject. The series is divided into three sections:
Introduction

Why Professor Strang created these videos
How to use the materials

Highlights of Calculus

Five videos reviewing the key topics and ideas of calculus
Applications to real-life situations and problems
Additional summary slides and practice problems

Derivatives

Twelve videos focused on differential calculus
More applications to real-life situations and problems
Additional summary slides and practice problems

About the Instructor
Professor Gilbert Strang is a renowned mathematics professor who has taught at MIT since 1962. Read more about Prof. Strang.
Acknowledgements
Special thanks to Professor J.C. Nave for his help and advice on the development and recording of this program.
The video editing was funded by the Lord Foundation of Massachusetts.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Strang, Gilbert
Date Added:
02/01/2010
Informal Calculus
Unrestricted Use
CC BY
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With Applications to Biology and Environmental Science

Short Description:
This book is an approachable introduction to calculus with applications to biology and environmental science. For example, one application in the book is determining the volume of earth moved in the 1959 earthquake that created Quake Lake. Another application uses differential equations to model various biological examples, including moose and wolf populations at Isle Royale National Park, ranavirus in amphibians, and competing species of protozoa. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.

Word Count: 37976

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Calculus
Mathematics
Material Type:
Textbook
Author:
Tyler Seacrest
Date Added:
10/11/2021
Integral Calculus with Applications to Life Sciences Exercise Book
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CC BY-NC-SA
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This exercise book contains a wide variety of problems in integral calculus, linear algebra, and linear regression, with applications to differential equations, probability, and life sciences. Every problem has a very detailed solution, and the book is self-contained, as the summary for every concept is provided. The book aims to help students learn the material more efficiently and get better results.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University of British Columbia
Author:
Paul Tsopméné
Date Added:
03/14/2023
Interactive Kite Modeler
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KiteModeler was developed in an effort to foster hands-on, inquiry-based learning in science and math. KiteModeler is a simulator that models the design, trimming, and flight of a kite. The program works in three modes: Design Mode, Trim Mode, or Flight Mode. In the Design Mode (shown below), you pick from five basic types of kite designs. You can then change design variables including the length and width of various sections of the kite. You can also select different materials for each component. When you have a design that you like, you switch to the Trim Mode where you set the length of the bridle string and tail and the location of the knot attaching the bridle to the control line. Based on your inputs, the program computes the center of gravity and pressure, the magnitude of the aerodynamic forces and the weight, and determines the stability of your kite. With a stable kite design, you are ready for Flight Mode. In Flight Mode you set the wind speed and the length of control line. The program then computes the sag of the line caused by the weight of the string and the height and distance that your kite would fly. Using all three modes, you can investigate how a kite flies, and the factors that affect its performance.

Subject:
Algebra
Calculus
Functions
Mathematics
Trigonometry
Material Type:
Simulation
Provider:
NASA
Provider Set:
NASA Glenn Research Center
Date Added:
02/16/2011
Intermediate Value Theorem: Calculus 1 Project by Dongju Park
Unrestricted Use
CC BY
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This Project has been completed as part of a standard 10 weeks Calculus 1 asynchronous online course with optional WebEx sessions during Summer 2021 Semester at MassBay Community College, Wellesley Hills, MA.

Subject:
Calculus
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Author:
Igor Baryakhtar
Date Added:
08/05/2021
Introducing Mathematical Biology
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CC BY
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An Open Education Resource

Short Description:
Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

Word Count: 41598

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Applied Science
Calculus
Computer Science
Mathematics
Material Type:
Textbook
Author:
Alex Best
Date Added:
07/12/2023
Introduction to Analysis
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CC BY-NC-SA
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Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space.
MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Mattuck, Arthur
Date Added:
09/01/2012