This set of Calculus 1 Lecture Notes and Worksheets was created under …
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/).
The following topics are covered in the course: complex algebra and functions; …
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.
Complex analysis is a basic tool with a great many practical applications …
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.
From the University of Florida Department of Mathematics, this is the second …
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.
This Project has been completed as part of a standard 10 weeks …
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.
This textbook covers calculus of a single variable, suitable for a year-long …
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).
This Project has been completed as part of a standard 10 weeks …
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.
This Project has been completed as part of a standard Calculus 3 …
This Project has been completed as part of a standard Calculus 3 in-person course with during Fall 2023 semester at MassBay Community College, Wellesley Hills, MA.
This Project has been completed as part of a standard 10 weeks …
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.
This Project has been completed as part of a standard 10 weeks …
This Project has been completed as part of a standard 10 weeks Calculus 1 face to face course during Summer 2022 semester at MassBay Community College, Wellesley Hills, MA.
This is an advanced undergraduate course dealing with calculus in one complex …
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.
This open-source book by Crowell, Robbin, and Angenent is a spin-off of …
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.
Highlights of Calculus is a series of short videos that introduces the …
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.
Highlights of Calculus is a series of short videos that introduces the …
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.
With Applications to Biology and Environmental Science Short Description: This book is …
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.)
This exercise book contains a wide variety of problems in integral calculus, …
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.
This course emphasizes concepts and techniques for solving integral equations from an …
This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.
KiteModeler was developed in an effort to foster hands-on, inquiry-based learning in …
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.
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