MATH 426
Differential Topology Fall 2019
Division III Quantative/Formal Reasoning

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Differential topology marries the rubber-like deformations of topology with the computational exactness of calculus. This sub eld of mathematics asks and answers questions like “Can you take an integral on the surface of doughnut?” and includes far-reaching applications in relativity and robotics. This tutorial will provide an elementary and intuitive introduction to differential topology. We will begin with the definition of a manifold and end with a generalized understanding of Stokes Theorem.
The Class: Type: Tutorial
Limit: 10
Expected: 10
Class#: 1592
Grading: no pass/fail option, no fifth course option
Requirements/Evaluation: weekly homework, weekly presentations, and final paper
Prerequisites: MATH 350 (students who have not taken MATH 250 may enroll only with permission of the instructor)
Enrollment Preferences: seniors, majors
Distributions: Division III Quantative/Formal Reasoning
QFR Notes: There will be weekly math problem sets.

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