MATH 150A, Fall 2016

Below is the general information and policy for the course. Some adjustments may be necessary during the quarter.

Professor

Elham Izadi ; office: AP&M 6240 ; phone: 534-2638 ; email: eizadi@math.ucsd.edu ; Office hours: Tuesdays 15:30-16:00 and Thursdays 15:30-17:00
Lectures: Tuesday-Thursday 11:00-12:20 AP&M B412

Teaching Assistant

Iacopo Brivio ; office: AP&M 5412 ; phone: 534-9052 ; email: ibrivio@math.ucsd.edu ; Office hours: Thursdays 17:00-18:00
Sections: Tuesdays 16:00-16:50 AP&M B412

Catalogue Course description

Differential geometry of curves and surfaces. Gauss and mean curvatures, geodesics, parallel displacement, Gauss-Bonnet theorem.

Prerequisites

Math 20E with a grade of C- or better and Math 20F with a grade of C- or better

Text

Differential Geometry and its Applications, by John Oprea, Second Edition.

Additional references that could be useful:

Thomas F. Banchoff and Stephen T. Lovett: Differential Geometry of Curves and Surfaces
Manfredo P. Do Carmo: Differential Geometry of Curves and Surfaces (this is a classic although rather difficult)
John McCleary: Geometry From a Differentiable Viewpoint
Richard S. Millman/ George D. Parker: Elements of Differential Geometry
Barrett O'Neill: Elementary Differential Geometry (second edition)
Theodore Shifrin: Differential Geometry: A First Course in Curves and Surfaces

Lectures

Differential Geometry is the study of geometry using the techniques of vector calculus and linear algebra. We will be using the material of Math 20E and 20F constantly, and you should review it. At first, the geometric objects studied have dimension 1 or 2 (curves or surfaces) and are located inside the three dimensional Euclidean space ℝ3. The central concept this quarter will be curvature: how it is measured and what its geometric effects are. Next quarter's major goal is to generalize to geometric objects of any dimension (manifolds) which need not be contained in any surrounding space. The material presented in lectures is important and is the main part of the course whether or not it is discussed in the textbook. The questions on the exams will test your understanding of concepts discussed in lectures. Your questions on any part of the material are always welcome in lectures or in sections.
Please read the corresponding Section of the Syllabus before each lecture.

Homework

There will be weekly homework assignments which will be collected and graded. You are encouraged to work on these problem sets with a small group of other students in the class, but every student should write up his or her own solutions.
Weekly homework will be due on Friday at 17:00. Please put your homework in the drop box in the basement of AP&M labelled Math 150A. Before you submit, please make sure to staple your work and have your name and ID number written clearly on top of the front page.

No late homework will be accepted. However, the lowest homework grade will be dropped.

Reading

Please make sure to read the sections of the textbook corresponding to the assigned homework exercises; there will be some questions on the exams on the assigned reading whether or not it is discussed in the lecture (please ask me or your TA for help with the assigned reading if you need help).
Please read the corresponding sections of the Syllabus in advance of each lecture. Questions on any part of the material are always welcome in class or in sections.

Exams

Final Exam: Wednesday December 7, 11:30-14:30, in AP&M B412. As usual, the final exam is cumulative.
Midterm 1: Thursday October 20, in class
Midterm 2: Thursday November 17, in class
No make-up exams will be given (please see the grading policy below in case you miss a midterm). No textbooks, notes, calculators, phones or electronic devices are allowed during exams.
You do not need to bring anything other than a pen or pencil to the exam. We will not use blue books.
Please ensure that you do not have a schedule conflict involving the final examination; you should not enroll in this class if you cannot take the final examination at its scheduled time.

Grading

Your final grade for the course will be the maximum of the following

Homework: 20%, Each midterm: 20%, Final: 40%
Homework: 20%, Midterm 1: 20%, Final: 60%
Homework: 20%, Midterm 2: 20%, Final: 60%
In addition, you must pass the Final Exam in order to pass the course.
Since there are no makeup exams, if you miss an exam then your course grade will be computed with your final exam counting 60%.

Regrade Requests

You midterm exams will be returned to you in discussion section. If you wish to have the grader take a second look at your exam, please attach a note explaining your concern and return the exam to your TA. Regrade requests will not be considered once your exam leaves the room.

Academic Honesty and Integrity

UCSD's code of academic integrity outlines the expected academic honesty of all students and faculty, and details the consequences for academic dishonesty. The main issues are cheating and plagiarism. However, academic integrity also includes things like giving credit where credit is due (listing your collaborators on homework assignments, noting books, webpages, or other resources containing information you used in solutions, etc.).

Homework assignments

Some useful formulae

Practice problems for the first midtern

Solutions to the practice problems we did not do in class

Topics covered by the first midterm

Solutions to the first midterm

Practice problems for the second midterm

Solutions to the practice problems we did not do in class

Topics covered by the second midterm

Solutions to the second midterm

Scanned Notes

Typed Notes

Practice Problems for the Final Exam

Solutions to the practice problems we did not do in class

Anouncements for the week of Final Exams:
My extra office hours: Monday 16:00-17:00
TA's extra discussion session: Sunday 10:00-12:00 in AP&M 7421
Elham Izadi
Last modified: Wed Dec 7 08:57:38 PST 2016