Spring 2018

Office: SH 6718

Office hours: MW 3:00-4:00

Email: mgscharl@math.ucsb.edu

Teaching assistant:

Office: 6431V

Office hours: T 3-5

Office hours @ Mathlab T 5-7

Email: shokrian@math.ucsb.edu

You are responsible for all material presented in class, including
announcements about course procedures.
Exams, pop-quizzes, and homework may include questions on material
presented only in class. It pains me to have to actually say this, but, yes, attendance is expected.

Math 8 plus either Math 108A or Math 117, each with a grade of B- or better.

Topology is a highly abstract subject, and Math 145 will emphasize writing convincing proofs. If you had a hard time with this in Math 8, 108 or 117, you are unlikely to succeed in this course.

Homework will generally be turned in at the Wednesday class of the following week. For example, the first assignment (listed below under 4/2-4/6) is due Wednesday 4/11. No late homework will be accepted. Do all problems assigned. Not all will be read. Feel free to work with each other on the problems, but please then write them up on your own.

- Every Wednesday, from 11 April through 6 June
- 5:00
^{pm}Location: Girv 2110

Check your schedule now, for **there
will be no make-up exams**.

Midterm | 30% |

Final | 40% |

Homework and discussion | 30% |

## Tentative schedule |
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Date | Read from Mendelson Introduction to topology |
Do from Mendelson | ||||||

4/2-4/6 | 1.1-1.6, 1.8 |
§1.4 (p. 9) #3, 5 §1.5 (p. 11) #1,3 §1.6 (p. 14) #1, 2, 3 [look at 4] |
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4/9-4/13 | 1.9, 2.1, 2.2 |
§1.8 (p. 21) # 2, 3 §1.9 (p. 25) #4 § 2.2 (p. 34) #3, 4, 7 [look at 8] |
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4/16-4/20 | 2.3-2.5 |
§2.3 (p. 39) #1, 3 §2.4 (p. 45) #2, 6, 8 §2.5 (p. 51) #1, 3, 6 [look at 2, 7] |
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4/23-4/27 | 2.6, 3.1,3.2 |
§2.6 (p. 57) #1, 3, 5 §3.2 (p. 74) #2, 4, 6 |
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4/30-5/4 |
3.4-3.5 |
§3.4 (p. 86) #1, 2, 5, 13 §3.5 (p. 91) #1, 3 |
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5/7 | Review | |||||||

5/9 | Midterm | Chapters 1-3.4 | ||||||

5/11 | 3.6 |
§3.6 (p. 96) #1, 2, 4 |
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5/14-5/18 | 3.7, 4.1, 4.2 |
§3.7 (p. 100) #2, 6 §4.2 (p. 118) #2, 3 |
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5/21-5/25 | 4.3-4.5 |
§4.3 (p. 122) #1, 2 §4.4 (p. 129) #1, 2 [look at 3] §4.5 (p. 133) #1, 2 |
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5/28 | HOLIDAY | Memorial Day | ||||||

5/30-6/1 | 4.6, 5.1-5.2 |
§4.6 (p. 138) #2, 4 §5.2 (p. 164) #1, 2, 5 |
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6/4-6/8 | 5.3-5.4 |
§5.3 (p. 168) #2, 3 §5.4 (p. 171) #1, 2 [look at 3] Which of the nine intervals listed in Theorem 3.3 are homeomorphic to each other? (Justify your answer.) |
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FINAL EXAM Monday June 11, 4-7
^{pm} |