MATH:7400:0001 Topology of Manifolds

Fall 2020 10:30A - 11:20A MWF World Wide Web

Instructor:  Dr. Isabel Darcy                  Office: Online                     Phone: 319-335- 0770
Email: isabel-darcy AT uiowa.edu           
Office Hours: M 2:00 - 2:30pm, WF 3:30-4:45pm online and by appointment.
DEO Contact Information Professor Weimin Han, 14 MLH, 319-335-0714, weimin-han@uiowa.edu
Some of the policies relating to this course (such as the drop deadline) are governed by its administrative home, the College of Liberal Arts and Sciences, 120 Schaeffer Hall.

Course WWW site:  http://www.math.uiowa.edu/~idarcy/COURSES/7400/FALL20/7400.html
Check this for a list of assignments so far, possible changes in the course schedule, and electronic copies of course handouts.

Description of Course: We will discuss topology of manifolds from the applied point of view. Topics will include how Dehn surgery and Seifert fibered spaces relate to protein action on DNA as well as how cohomology and handlebody decompositions can be used in data analysis. All needed background will be covered.

Prerequisites: MATH:6400 and MATH:6410 or consent of instructor

Objectives and Goals of the Course: 1.) Improve visualization skills.
2.) Be familiar with applications of topology.
3.) Learn the basics of several topology software such as knotplot.
4.) Developed online skills that may be helpful in the job market.

Text: None.

GRADING & EXAMS:  We will use ICON for exams and homework. Please review your homeworks before each exam. The exams will not be cumulative. We will not have a final exam.

Attendance and absences: Your attendance at each scheduled class meeting and problem section is expected.  You are  responsible for material covered in class and announcements made during class; these may include changes in the syllabus. Absences from exams will require a compelling reason, and must be arranged with your instructor in advance. University regulations require that students be allowed to make up examinations which have been missed due to illness, mandatory religious obligations, or other unavoidable circumstances or University activities

Student Collaboration: You may collaborate with other students on the homework;   however, each individual student is responsible for turning in your own homework in your own words.  Copying is not collaboration and will be prosecuted under scholastic dishonesty.  Any significant collaboration should be acknowledged. You should also cite any sources that you use including online resources.

Typical MWF class:

• For each 10:30am class, indicate if you would like to be called on in class by responding to a chat message.
• Being called on in class is optional.
• Being called on in class is good practice for the real world. Those who speak up, ask questions, etc. are generally the ones who move up the ladder more quickly.
• If you don't know the answer to a question, you can simply say "pass". This way I know I need to give a better explanation before (possibly) asking someone else.
• You will be able to see me and the slides as I will use two computers.
  • One computer will display the slides. That is the computer that will be recording our lecture so that only slides and voices are recorded.
  • The second computer will be hooked to a largish screen TV where I will display your screens. Thus unless you mute your video, I will be able to see you. This way I will be able to give my lecture to people rather than a computer.

Resources for Students
Tutor Iowa: https://tutor.uiowa.edu/
Math Tutorial Lab

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