MATH 150B, Spring 2017
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 13:30-15:30
Lectures: Tuesday-Thursday 11:00-12:20 AP&M 5829
Teaching Assistant
Xiaolong(Bruce) Li ; office: AP&M 6444 ;
email: xil117@ucsd.edu ; Office hours: Thursdays 10:00-11:00
Sections: Wednesdays 16:00-16:50 AP&M 5829
Prerequisites
Math 150A or consent of instructor
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, 20F and 150A constantly, and you should review
it. This quarter's major goal is to generalize
to geometric objects of any dimension (manifolds) which need not
be contained in any surrounding space. Your questions on any part of the
material are always welcome in lectures or in sections.
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
150B. 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: Tuesday June 13, 11:30-14:30, in AP&M B402A. As usual, the final exam is cumulative.
Midterm 1: Thursday April 27, in class
Midterm 2: Thursday May 25, 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
Syllabus
Class Notes
Formulae for midterm 2
Practice problems for the first midtern
Topics covered by the first midterm:
Note that the material
of homework 3 is on the test, so although it is due after the
midterm, please make sure to do homework 3 before the test.
Oprea: Sections 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 5.1, 5.2, 5.3
O'Neill: Chapter 8 Section 1
Practice problems for the second midterm
Topics covered by the second midterm:
As usual, please note
that the material of homework 6 is on the test even though the
homework is due after the test. Please make sure to do homework 6
before the test.
Oprea: Sections 5.2, 5.4
O'Neill: Chapter 1 Sections 5, 6, Chapter 2 Sections 7, 8, Chapter
4 Sections 4, 8, Chapter 6 Sections 1, 2, 5, 6, Chapter 7 Section 1
Anouncements for the week of Final Exams:
Note that your final exam is in a different room: AP&M B402A
Your TA will have extra office hours to help you prepare for your
final exam on Friday June 9, from 13:00 to 14:00 and 15:00 to
16:00
I will have extra office hours on Monday June 12 from 14:00 to 15:00
Elham Izadi
Last modified: Wed May 31 15:21:57 PDT 2017