Mit Opencourseware Multivariable

Multivariable Calculus Course Description This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics. The materials have been organized to support independent study.

Instructor: Herbert Gross This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus). View the complete course at: https://ocw.mit.edu/RES18. This course covers vector and multi-variable calculus.

It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term.

Both versions cover the same material, although they are taught by different. This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs.

There is considerable emphasis on linear algebra and vector integral calculus. This section contains video lectures, available as streaming or downloadable media. See related courses in the following collections: Find Courses by Topic Calculus Linear Algebra Differential Equations MIT Crosslinks Explore the topics covered in this course with MIT Crosslinks, a website that highlights connections among select MIT undergraduate STEM courses and recommends specific study materials from OCW and others.

Learn. Catalog Course Multivariable Calculus 1: Vectors and Derivatives We live in a multivariable world. Explore the derivative in higher dimensions and learn how to apply it to solve real world problems.

Part 1 of 3. OCW Scholar Version 18.02SC Multivariable Calculus (Fall 2010) Other OCW Versions OCW has published multiple versions of this subject. 18.02 Multivariable Calculus (Fall 2007).

This section provides files which gives information on essential concepts covered in the course, how to use the program Matlab, topics to be covered on exam 3, a review of concepts covered on exam 4, Lagrange multipliers, probability, divergence and partial differential equations. The rest of the course covers the traditional multivariable calculus topics including vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2D and 3D space. These notes were created by Evan Chen, a recitation instructor in the Fall 2024 instance of 18.02 Multivariable Calculus.