MATH 3045
Curves and Surfaces
Lec 01 selected
The course is designed as an introduction to differential geometry, the study of geometric objects by means of analysis. It presents a comprehensive study of curves and surfaces in Euclidean space. Topics include: Frenet frame and equations, curvature, torsion, first and second fundamental forms, shape operator, Gauss-Weingarten equations.
Sections
Lecture
Lec 01
Mon, Wed, Fri 10:35-11:25
From the syllabus
From the Winter 2025 syllabus by Roman Smirnov. Open the PDF
Grading
30%Assignments (5)Bi-weekly; due in class on Thursdays
20%Midterm testTentatively February 13
50%Final examScheduled exam period
Textbook
- Differential Geometry and Its Applications, John Oprea
Course rules
- Late work
- Late homework is not accepted without the instructor's prior permission.
- Missed midterm
- A missed midterm cannot be written later; with prior permission or a valid excuse, its weight shifts to the final exam.
- Missed final
- A missed final exam can only be made up with a valid medical excuse.
- Homework
- Students may discuss homework together, but each must write and submit their own work.
- Exams
- Students must work individually on the midterm and final exams.
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