Welcome to Topology! For course info and policies, please see the syllabus. For grades, log into Moodle. If you need help, contact Prof. Wright.
Prof. Wright's office hours: Mon. 9–10am, Tues. 10–11am, Wed. 2:30–3:30pm, Thurs. 1–2pm, Fri. 11am–noon, and other times by appointment (in RMS 405)
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Today
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Thursday
September 5
September 5
Introduction; Continuous functions
Do the following before next class:
- Complete the Introductory Survey, if you haven't done so already.
- Read the syllabus carefully and complete the Syllabus Quiz on Moodle.
- Read pages 1–14 in the Essential Topology textbook and complete the reading questions. Bring your completed reading questions to class on Tuesday.
Tuesday
September 10
September 10
Open sets
Do the following before next class:
- Begin Homework 1, which is due next Tuesday, September 17.
- Read Sections 3.1 and 3.2, at least through Example 3.24, in the Essential Topology textbook and complete the reading questions. Bring your completed reading questions to class on Thursday.
Bonus video: Paths to Math: John Urschel
Do the following before next class:
- Finish Homework 1, and upload your solutions to the Homework 1 assignment on Moodle.
- Re-read all of the examples in Sections 3.1 and 3.2, then continue through the end of Section 3.3 in the Essential Topology textbook and complete the reading questions. Bring your completed reading questions to class on Tuesday.
Do the following before next class:
- Begin Homework 2, which is due next Tuesday, September 24.
- Read from the beginning of Section 3.4 through page 39 in the Essential Topology textbook and complete the reading questions. Bring your completed reading questions to class on Thursday.
Thursday
September 19
September 19
Bases and Connectedness
Bonus video: Eugenia Cheng on The Late Show
Do the following before next class:
- Finish reading Section 4.1, and read the first two pages of 4.2. Also read Topologies in Applications." Complete the reading questions and bring them to class on Tuesday.
- Read "How to write proofs: a quick guide" by Eugenia Cheng.
- Finish Homework 2 and upload your soloutions to the Homework 2 assignment on Moodle.
Do the following before next class:
- Begin Homework 3, which is due next Tuesday, October 1.
- Re-read Section 4.1 and read Section 4.2 in the Essential Topology textbook and complete the reading questions. Bring your completed reading questions to class on Thursday.
- Read the Exam 1 Info.
Bonus: video How Not to Be Wrong: The Power of Mathematical Thinking - with Jordan Ellenberg and article The Psychology of Statistics by Jordan Ellenberg
MSCS Showcase Thursday, September 26, 4:30pm, Tomson 280
MSCS Colloquium: How many ways are there to juggle? Monday, September 30, 3:30–4:30pm in RNS 210
Do the following before next class:
- Re-read Sections 4.1 and 4.2 in the text. There are no reading questions for Tuesday.
- Finish Homework 3 and upload your soloutions to the Homework 3 assignment on Moodle.
- Read the Exam 1 Info. Recall the precise definitions for each concept, as well as examples of things that satisfy or don't satisfy each definition. Think through the proofs of the results stated on the exam info page.
Northfield Undergraduate Mathematics Symposium Tuesday, October 1, 3:15–6:45pm at Carleton
Do the following before next class:
- Review the Exam 1 Info.
- Re-read sections 2.1 through 4.2 in the text.
- Make sure you can state precise definitions and give examples (with justification) of the concepts on the exam info page.
- Make sure you can give proofs of the five results on the exam info page.
Thursday
October 3
October 3
Exam 1
Do the following before next class:
- Read Sections 4.3 in the text. There are no reading questions for Tuesday.
- Begin Homework 4. This homework is shorter than usual and is due on Thursday, October 10.
Tuesday
October 8
October 8
Homeomorphisms
Do the following before next class:
- Reading to be announced.
- Finish Homework 4, and upload your soloutions to the Homework 4 assignment on Moodle.
MSCS Research Seminar: Craig Kaplan, "Computing Tiling Properties of Polyforms," Thursday, October 10, 11:30am–12:30pm in RNS 203
Have a great fall break! No class October 15.
Do the following before next class:
- To be determined
Thursday
October 17
October 17
Quotient spaces
Do the following before next class:
- To be determined
Tuesday
October 22
October 22
Applications
Homework 5
due at 5pm
due at 5pm
Do the following before next class:
- To be determined
Thursday
October 24
October 24
Homotopy
Do the following before next class:
- To be determined
Tuesday
October 29
October 29
Brouwer's fixed-point theorem
Homework 6
due at 5pm
due at 5pm
Do the following before next class:
- To be determined
Thursday
October 31
October 31
Simplicial complexes
Do the following before next class:
- To be determined
Tuesday
November 5
November 5
Euler characteristic
Homework 7
due at 5pm
due at 5pm
Do the following before next class:
- To be determined
Thursday
November 7
November 7
Exam 2
Do the following before next class:
- To be determined
Tuesday
November 12
November 12
Homotopy groups
Do the following before next class:
- To be determined
Thursday
November 14
November 14
Simplicial homology
Do the following before next class:
- To be determined
Tuesday
November 19
November 19
Simplicial homology
Do the following before next class:
- To be determined
Thursday
November 21
November 21
Computing homology
Do the following before next class:
- To be determined
Tuesday
November 26
November 26
Computing homology
Do the following before next class:
- To be determined
Have a great Thanksgiving break! No class November 28.
Tuesday
December 3
December 3
Persistent homology
Do the following before next class:
- To be determined
Thursday
December 5
December 5
To be determined
Do the following before next class:
- To be determined
Tuesday
December 10
December 10
To be determined
We've made it to the end of the semester!
Friday
December 13
December 13
Final Exam
