PMATH 365
Differential Geometry
Undated
Topics
- Curves
- Surfaces
- The Gauss-Bonnet Theorem
- Submanifolds of Rn
- Integration of Differential Forms
- Tensor Algebras and Differential Forms
Readings
- Chapter 1. Curves — https://www.math.uwaterloo.ca/~snew/PMATH365/Chap1Curves.pdf
- Chapter 2. Surfaces — https://www.math.uwaterloo.ca/~snew/PMATH365/Chap2Surfaces.pdf
- Chapter 3. The Gauss-Bonnet Theorem — https://www.math.uwaterloo.ca/~snew/PMATH365/Chap3GaussBonnet.pdf
- Chapter 4. Submanifolds of Rn — https://www.math.uwaterloo.ca/~snew/PMATH365/Chap4Submanifolds.pdf
- Chapter 5. Integration of Differential Forms — https://www.math.uwaterloo.ca/~snew/PMATH365/Chap5DifferentialForms.pdf
- Chapter 6. Tensor Algebras and Differential Forms — https://www.math.uwaterloo.ca/~snew/PMATH365/Chap6TensorAlgebras.pdf
- Appendix 1. Review of Differentiation — https://www.math.uwaterloo.ca/~snew/PMATH365/App1Differentiation.pdf
- Appendix 2. The Generalized Cross Product — https://www.math.uwaterloo.ca/~snew/PMATH365/App2CrossProduct.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Undated
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus. Source term/year not established.