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.
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.).