Welcome to MATC63  Differential Geometry

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) 

Recommended Text  Differential Geometry of Curves and Surfaces 

Syllabus 
A1: due Jan 26, 2023 Curves and surfaces in 3space. 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 4.14.4; Shifrin Chap 2.3, 2.4) A4: Due Mar 30, 2023 GaussBonnet for surfaces. (Shifrin Chap. 3.1)  
Lectures  Tuesdays: 14:10  15:00 Thursdays: 13:10  15:00 IC326 

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). 

Outline 
Outline of material 

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 2sphere (Shifrin Chap. 2.4) 

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 

Solutions to past midterm exams  
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