Andrew Stacey


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Sat, 1st Sep 2007 (Teaching :: MA3402h2007)

MA3402 - Analysis on Manifolds, Autumn 2007

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Sat, 1st Sep 2007

Mon, 1st Oct 2007 (Teaching :: MA3402h2007)

Summary

An introduction to the ideas, concepts, and techniques of analysis on manifolds.

Main Page

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Mon, 1st Oct 2007

Mon, 1st Oct 2007 (Teaching :: MA3402h2007)

Course text

An introduction to differential geometry, vol I, by Michael Spivak

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Mon, 1st Oct 2007

Fri, 28th Sep 2007 (Teaching :: MA3402h2007)

Topics

  1. Vector fields
  2. Cotangent bundle and forms
  3. Tensors
  4. Exterior differentiation
  5. Covariant differentiation
  6. Basic Riemannian geometry
  7. Integration theory

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Fri, 28th Sep 2007

Mon, 12th Nov 2007 (Teaching :: MA3402h2007)

Worksheets

  1. Worksheet 1 as a pdf. Solution 1 as a pdf.
  2. Worksheet 2 as a pdf. Solution 2 as a pdf.
  3. Worksheet 3 as a pdf. Solution 3 as a pdf.
  4. Worksheet 4 as a pdf. Solution 4 as a pdf.
  5. Worksheet 5 as a pdf. Solution 5 as a pdf.

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Mon, 12th Nov 2007

Mon, 8th Oct 2007 (Teaching :: MA3402h2007)

Midterm Project

The midterm assessment for this course is to do a project. The full specification can be found in the following pdf.

Project Handout

The completed project is to be handed in by the start of class on Thursday, 25th of October.

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Mon, 8th Oct 2007