150B Calculus on Manifolds 

Math 150B  Calculus on Manifolds (Winter 2020) Course Information (http://www.math.ucsd.edu/~bdriver/150B_W2020/index.htm) Announcements
Instructor: Bruce Driver, Office: AP&M 5260, Phone: 5342648. Email: bdriver at ucsd dot edu Office Hours: Tuesday 1112 and Thursday 23 TA: Evangelos (Vaki) Nikitopoulos, Office AP&M 5412. Email: enikitop at ucsd dot edu Office Hours: Wednesdays 56:50pm in AP&M 5412 Textbook: Victor Guillemin and Peter Haine, "Differential Forms," first edition. [See a draft version of this book here.] Lectures: TuTh 9:30a10:50a in APM 2402. Discussion: W 7:00p7:50p in APM 5402 Midterm:
Thursday February 6, at 9:30am in Class. Homework: Homeworks will be given weekly and are due in the homework drop box by 9:00PM on the Thursday due date. Click here to see the assignments. The drop box is located in the basement of APM. Drop Box Basement Location: If you view Box 1 as a 6x2 matrix, then 150B is the 3,2 entry of this matrix.
Prerequisites: Math 150A or consent of instructor. Course Goals: We will cover most of
chapter 14. of the text.
For a more detailed list of chapter sections, see
the
homework page. Catalog Description: Calculus of functions of several variables, inverse function theorem. Further topics may include exterior differential forms, Stokes’ theorem, manifolds, Sard’s theorem, elements of differential topology, singularities of maps, catastrophes, further topics in differential geometry, topics in geometry of physics. Prerequisites: MATH 150A or consent of instructor.
Lecture: Attending the lecture is a fundamental part of
the course; you are responsible for material presented in the lecture
whether or not it is discussed in the
textbook. You should expect questions on the exams that will test your
understanding of concepts discussed in the lecture.
Reading: Reading the sections of the textbook
corresponding to the assigned homework exercises is considered part of the
homework assignment; you are responsible for material in the assigned reading
whether or not it is discussed in the
lecture. You should expect questions on the exams that will test your
understanding of concepts addressed in the reading and assigned homework
exercises.
Homework: See the
homework page for guidelines, assignments
and due dates. Your homework grade will be based on your best eight (8) of nine
(9) graded homework assignments. You should make every effort to complete each
assigned homework problem. You may seek help during office hours and/or section
with any exercises you have difficulty solving. Students are also encouraged to
discuss homework with fellow classmates. However, each student is expected to
write up his/her own solutions independently.
Late Homework: Late homework is not accepted.
Electronic Computing
Devices: Graphing calculators and computer programs (or
online computing websites such as
WolframAlpha) can be very helpful when
working through your homework. However, a calculator/computer should be used as
an aid in the learning concepts, not just as a means of computation. You should
use these devices when working on math problems at home, but always keep in mind
that you will not be allowed access to any electronic computing devices during
exams. Of course, this also means that you will not be asked to solve problems
on exams that require the aid of an electronic computing device.
You must take the midterm
at the scheduled date and time.
You cannot take any exam early or late.
The Final Exam is
cumulative. You cannot take the final exam early or late. It
is your responsibility to ensure that you do not have a schedule conflict
involving the final exam. You should not enroll in this class if you cannot sit
for the final exam at its scheduled time.
Regrades: The midterm exam and graded homework assignments
will be returned in the discussion sections. If you find a grading or point
totaling error on an exam or a homework assignment,
you must return it immediately to your
TA. Regrade requests will not be considered once the exam or assignment
leaves the room. If you do not retrieve your graded exam or assignment during
discussion section, you must arrange to pick it up from your TA within one week
after it was returned in order for any regrade request to be considered.
Grade Recording Errors: Keep all of your returned homework and exams and
check TED to make sure that the grades on your papers are the same as the grades
recorded on TED. If there is any mistake in the recording of your scores, you
must bring us the original assignment/lab/exam in order for us to make a change.
Grades: Your cumulative average will be the best of
the following two weighted averages:
After your weighted average is calculated, letter
grades will be assigned based on the standard grading scale:

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