Analysis II OpenCourseWare: A Free Advanced Bachelor Level Mathematical Analysis Course by MIT

Published Jan 27, 2009

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For those who have already made some progress in their undergraduate Mathematics studies, 'Analysis II' provides more insight into differential forms and manifolds, mathematical topics related to topography. This free OpenCourseWare from MIT is intended for those who have already taken analysis and algebra classes, since its subject matter consists of complex topics, such as n-dimensional vector spaces.

Analysis II: Course Specifics

Degree Level Free Audio Video Downloads
Undergraduate Yes No No Yes

Lectures/Notes Study Materials Tests/Quizzes
Yes Yes No

Analysis II: Course Description

This course builds upon the mathematical analysis foundations covered in 'Analysis I', a prerequisite course exploring the basics of series and sequences. 'Analysis II' is taught by Professor Victor Guillemin, a renowned pioneer in the field of mathematical analysis and winner of the Leroy P. Steele Prize for Lifetime Achievement from the American Mathematical Society. In this course, Guillemin advances students' understanding of multivariable calculus, touched on in 'Analysis I', and expounds on global analysis and manifolds. Manifolds are mathematical spaces that are similar to Euclidean space, or geometric space. Global analysis examines the relationship between differential equations and manifolds. This class is valuable to undergraduate students pursuing bachelor's degrees in Mathematics or related fields.

Course materials available to those taking the free online version of this course include thorough lecture notes, as well as some homework assignments with solutions. If you're interested in taking this course, visit the mathematical analysis course page.

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