## MA 351: Elementary Topology 1

Kate Ponto
Fall 2015

Syllabus

### Announcements

You may want to look at information about math study abroad programs
Math in Moscow
Budapest Semesters in Mathematics
or
National Science Foundation Research Experiences for Undergraduates

My office hours are Monday 1-1:45, Tuesday 10-11, and Wednesday 3-3:45.

The textbook for this course will be

Introduction to Topology: Pure and Applied by Colin Adams and Robert Franzosa (ISBN: 0131848690)

It is sometimes helpful to have another textbook with a slightly different perspective. A good choice is

Introduction to Topology: Third Edition (Dover Books on Mathematics) by Bert Mendelson (ISBN: 0486663523)

The book by Mendelson is not required for the course.

### Homework

All assignments come from the physical edition of the textbook. So if there is a conflict between that edition and the electronic one, got with the physical version.

Suggested Problems 5.1, p. 150-152, 5.3 5.2, 5.3, 5.8, 5.5, 5.10
December 9 7.1, 7.3, p. 213-215, 227-229 6.39, 6.49, 7.5, 7.7, 7.8, 7.13a
December 2 6.4 6.18, 6.21, 6.23, 6.24, 6.38
November 18 6.2, 6.3 6.1, 6.3, 6.5, 6.10a, 6.7
November 11 6.1 4.5, 4.10, 4.13(a), 4.23, 4.29, 4.31, 4.33
November 4 4.2 3.37, 4.4, 4.7, 4.11, 4.14
October 28 3.4, 4.1 3.23, 3.27, 3.24, 3.29, 3.33 (a, c, f, g, j, k)
October 21 3.3 3.10, 3.11, 3.12, 3.17, 3.19, 3.22
October 14 3.1, 3.2 3.2, 3.5 (f-j), 3.7, 3.9
October 7 2.16, 2.21 (You can use the intermediate value theorem), 2.14, 2.19 (an injective sequence just means that all the terms in the sequence are different), 2.24 (c,d, e,f,h)
September 30 2.3 2.7, 2.9, 2.12, 2.13(a,b,c,e,f,h), 2.15
September 23
2.1, 2.2 1.28, 1.29, 2.1 (b-d, g-i), 2.3, 2.5 (Do for the interior and the closure.)
September 16 1.18, 1.19, 1.13, 1.16
September 9 1.2, 1.3 Do the last problem of Problems for Chapter 1, and 1.4, 1.6, 1.8, 1.12, 1.15
September 2 0.1, 0.2, 0.3, 0.6, 1.1 Do the first five problems of Problems for Chapter 1