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  1. Courses
  2. Undergraduate
  3. Part C
  4. Michaelmas
  5. C3.3 Differentiable Manifolds (2025-26)
  6. Course Materials
  7. Sheet 0

Sheet 0

Completion requirements
This is an introductory sheet which will not be marked.  It covers properties of smooth maps between Rᵐ and Rⁿ, and examples of manifolds defined by atlases.

The file 25C33Sheet0.pdf contains just the questions, whilst the file 25C33Soln0.pdf contains the questions and solutions.
  • 25C33Sheet0.pdf 25C33Sheet0.pdf
    26 August 2025, 10:55 AM
  • 25C33Soln0.pdf 25C33Soln0.pdf
    26 August 2025, 10:55 AM
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