Math 5046,  Spring 2022

Instructor

• Xiang Tang, Cupples I, 112B, xtang@math.wustl.edu

Classroom and Time

• Cupples II, Room 200, TuTh 2:30-3:50.

Office Hours

• I will hold Zoom Office hours at Monday 9-10 a.m., Wednesday 2:20-3:20 p.m., Thursday 5-6 p.m.
  
• Write to me to make an appointment if the above time does not work with your schedule or prefer to meet in person. 

Webpage

• http://www.math.wustl.edu/~xtang/spring2022-manifolds.html

Text

• Introduction to Smooth Manifolds, 2nd Edition, John M. Lee

Reference

• A comprehensive introduction to differential geometry, vol. I, 3rd edition, by Michael Spivak
• An Introduction to differentiable manifolds and riemannian geometry, 2nd edition, by William M. Boothby

Prerequisite

• Math 5045

Preview

• This is a course about introduction to smooth manifolds.  We will try to cover most topics in chapters 1-19 of Lee's book.

Lectures

• You are strongly recommended to attend the lectures. No talk, food and drinking is allowed in class. Please close your cell phone or change it to ``silent".  Information about materials covered and homework assigned every week will be updated on the course website.

Homework

• You will have graded homework turned in every Thursday by 11:59 p.m.  Late homework will not be accepted! The homework collected is to be considered a bare minimum of homework that you should do. "A" students will generally do nearly every problem in the exercise sections.
• We will use an online system called CrowdMark to collect and distribute homework, https://app.crowdmark.com/sign-in/wustl, which you can sign in with your Canvas account. Only PDF and JPEG format files will be accepted by CrowdMark. You will need to upload your work for each problem separately. Simply drag and drop your files to the upload areas under the questions or browse to locate them. You can drag between questions, and add or delete pages under each question. Please make sure your pictures are sharp enough to be graded. And please ensure the uploaded pages are in order and rotated correctly if  your solution is written on several pages.
• Homework is graded according to the following distribution. Each homework set consists of 5 problems. Each problem counts for 10 points and the total score of a homework  is 50 points. 

Exams

• There will be one midterm and one final exam. The following is the schedule

Midterm Exam	March 10, 2022 at 2:30-3:50 p.m.	Cupples II, Room 200
Final Exam	May 11, 2022 at 3:30-5:30 p.m	Cupples II, Room 200

Grading scale

• Homework: 50%, Midterm: 25%, Final: 25%. The grades are assigned according the percentage you are in the class. 
• You are expected to take the exams at their scheduled times. If you are away because of a  university sporting event or field trip, then you may arrange for your coach or professor to administer the exam. Excused absences may be granted in the case of illness or bereavement. All excused absences must be granted before the exam is taken. The final exam date cannot be changed for reasons of traveling convenience.
• In total, we will collect 10 homework sets. You are allowed to drop the lowest homework score.
• Letter grades will be given based on your overall score. The cutoffs for the various letter grades will be no higher than the following:

A	85
B	75
C	60
D	50

Disability Resources

• Special accommodations for exams are offered to students who have registered in a timely manner at Disability Resources (DR). Information about DR may be found at https://students.wustl.edu/disability-resources/ (Links to an external site.).

Covid Policies

• Students are expected to follow university-mandated COVID safety procedures.
• If you are sick, quarantined, or do not pass WashU self-screening, do not come to class in person. Watch the recorded lecture for that day instead