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Welcome to MATC63 -- Differential Geometry
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| Instructor | Professor Lisa Jeffrey | Office: IC474 |
Grader | Hossein Yousefi All the assignments will be handled through Crowdmark. |
Email: hossein.yousefi@mail.utoronto.ca |
| Announcements | No Announcement | |
| Required Text | Differential Geometry: A First Course in Curves and Surfaces (January 2018) |
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| Recommended Text | Differential Geometry of Curves and Surfaces |
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| Syllabus |
A1: due Jan 26, 2023 Curves and surfaces in 3-space. Frenet formulas. (Do Carmo Chap. 1; Shifrin Chap 1.1, 1.2, 1.3) A2: due Feb 16, 2023 (Do Carmo Chap 2., Chap 3; Shifrin Chap 2.1, 2.2) A3: due March 9, 2023 Curvature and geodesics. Parallel transport. (Do Carmo 3, Chap 4.1-4.4; Shifrin Chap 2.3, 2.4) A4: Due Mar 30, 2023 Gauss-Bonnet for surfaces. (Shifrin Chap. 3.1) | |
| Lectures | Tuesdays: 14:10 - 15:00 Thursdays: 13:10 - 15:00 IC326 |
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| Term Test | ||
| Marking Scheme | - 4 Assignments total: 40% - Final Exam: 40% - Final presentation or written report 20% All assignments must be submitted on Crowdmark. Please submit pdf files or scans of handwritten work. Please do not submit photographs (jpg files). |
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| Outline |
Outline of material |
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| Lecture Notes for MATC63 |
Lecture notes MATC63 winter 2023 Lecture notes Jan 12 2023 Lecture notes Jan 17 2023 Lecture notes Jan 19 2023 Lecture notes Jan 24 2023 Lecture notes Jan 26 2023 Lecture notes Jan 31 2023 Lecture notes Feb 2 2023 Lecture notes Feb 14 2023 Lecture notes Feb 16 2023 Lecture notes Feb 28 2023 Lecture notes March 2 2023 Lecture notes March 9 2023 Lecture notes March 14 2023 Lecture notes March 16 2023 Lecture notes March 21 2023 Lecture notes March 23 2023 Curves (Shifrin Chap. 1.1) Frenet formulas (Shifrin Chap. 1.2) Isoperimetric inequality (Shifrin Chap. 1.3) Surfaces (Shifrin Chap. 2.1) Second fundamental form (Shifrin Chap. 2.2) Christoffel symbols, Gauss equations and Codazzi equations (Shifrin Chap. 2.3) Geodesics (Shifrin Chap. 2.4) Clairaut's formula, normal curvature (Shifrin Chap. 2.4); Parallel transport (Shifrin Chap. 3.1 Clairaut's formula for the 2-sphere (Shifrin Chap. 2.4) |
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| Final exam review notes | ||
| Old Assignments |
Problem Set #2 (2016/17)
Correction to 2016 Assignment 2 Solution Problem Set #2 (2019/20) Problem Set #4 (2019/20) Problem Set #4 (2016/17) | |
| Solutions to old MATC63 final exams |
2014 Final Exam 2016 Final Exam 2017 Final Exam 2018 Final Exam 2019 Final Exam 2022 Final Exam 2022 Final Exam solution |
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| Solutions to past midterm exams | ||
| AccessAbility Services | Students with a disability/health consideration are encouraged to approach Tina Doyle and/or the AccessAbility Services Office @ 416-287-7560. They can also drop by the office, S302B, inside the Resource Centre. The Coordinator is available by appointment to assess specific needs, provide referrals and arrange appropriate accommodations. | |