Topology OpenCourseWare: A Free Bachelor Level Geometry Course on Topology by MIT

Published Feb 02, 2009

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'Introduction to Topology,' an OpenCourseWare offering from the Massachusetts Institute of Technology, explores dimension, structure, space and other mathematical concepts of topology. The OpenCourseWare is free, and it is based on a course that is part of the Bachelor of Science in Mathematics program. The prerequisite for this course is Analysis I, which is also an MIT OpenCourseWare.

Introduction to Topology: Course Specifics

Degree Level Free Audio Video Downloads
Undergraduate Yes No No Yes

Lectures/Notes Study Materials Tests/Quizzes
Yes Yes No

Introduction to Topology: Course Description

Topology is concerned with approaching geometric problems from the perspective of how a construct is put together as opposed to how it is shaped. 'Introduction to Topology' was taught on the MIT campus by Professor James Munkres, who also wrote the recommended textbook, Topology. Lecture notes provided for the OpenCourseWare version of this course cover topics such as topological spaces, connectedness, continuous functions, the fundamental group, dimension theory and separation axioms. Mathematicians frequently deal with topological spaces, making the field of topology pertinent to students studying almost all areas of Mathematics. Topology has its roots in a challenging problem posed by mathematicians called 'The Bridges of Königsberg,' in which the idea is to find a route across an arrangement of bridges while crossing each bridge only once. The trick is that this task is impossible, and it takes an understanding of topology to prove that.

The 'Introduction to Topology' OpenCourseWare contains downloadable lecture notes as well as a list of readings and assignments from the recommended textbook. If this subject interests you, take the free course by visiting the topology course page.

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