Calculus, Linear algebra, Functional and Complex Analysis and more

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.

Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning...

Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes...

Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differential Equations, and Linear Algebra is the third course in the series, consisting of 20 Videos, 3 Study...

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...

This course provides a brisk, challenging, and dynamic treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences. Calculus is one of the grandest achievements of human thought, explaining everything...

Calculus One is a first introduction to differential and integral calculus, emphasizing engaging examples from everyday life. Calculus is about the very large, the very small, and how things change. The surprise is that something seemingly so abstract ends up explaining the real world. Calculus...

This course is taught so that students will acquire a solid foundation in algebra. The course concentrates on the various functions that are important to the study of calculus. This course is taught so that students will acquire a solid foundation in algebra. Emphasis is placed on understanding the properties...

This course covers mathematical topics in algebra and trigonometry and is designed to prepare students to enroll for a first semester course in single variable calculus. Through this course, students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions...

Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?" Sequences and Series will challenge us to think very carefully about"infinity." ...

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. In addition to the Textbook, there is also an online Instructor's...

Learn the theory of linear algebra hand-in-hand with the practice of software library development. About this Course Linear Algebra: Foundations to Frontiers (LAFF) is packed full of challenging, rewarding material that is essential for mathematicians, engineers, scientists, and anyone working with large...

Learn about functional analysis Functional analysis is the branch of mathematics dealing with spaces of
functions. It is a valuable tool in theoretical mathematics as well as
engineering. It is at the very core of numerical simulation.
In this class, I will explain the concepts of convergence and talk...

In this course we’ll explore complex analysis, complex dynamics, and some applications of these topics. Complex analysis is the study of functions that live in the complex plane, i.e. functions that have complex arguments and complex outputs. In order to study the behavior of such functions we’ll need...

Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years. NOTE: Coursera encountered difficulties in converting my course to run on the new platform. Working together, we have found a way to modify the course to circumvent the missing platform features...

Learn how to apply mathematical methods to philosophical problems and questions. Since antiquity, philosophers have questioned the foundations--the foundations of the physical world, of our everyday experience, of our scientific knowledge, and of culture and society. In recent
years, more and more young...

Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!

A brief review of introductory algebra topics including integer operations, scientific notation, algebraic expressions, linear equations, and graphing.

Learn the basics of Algebra through intuition and problem solving! From fractions to factors to functions, we’ll cover a breadth of topics.

Gain an in-depth understanding of algebraic principles and learn how to use them to solve problems you may meet in everyday life.

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