In Math 54, you have a number of responsibilities which may be new and demanding. It is essential that you be fully aware of the content of the general information page. In relation to homework, pay special attention to the homework policy, expectations of students, and honor principle sections. Please contact your instructor with questions about any or all of these.
Throughout the course, there will be four major types of assignments: in-class problem solving, textbook reading, problem sets, and exams. Feedback will be provided on all assignments and underlined sections of writing correspond to fundamental misunderstandings. Extra effort should be put toward understanding these mistakes, individually or with the instructor.
During most class periods, there will be problems that are intended to be solved in small groups or by the class at-large. Any problems not solved during class are to be completed before the next class period. These problems are not due for a grade but they part of the course material and may be drawn upon for problem sets or exams.
As part of the course, everyone is expected to read specific sections of the textbook prior to each class. Munkres' text contains a good amount of exposition and these assignments are meant to provide exposure to new material and additional examples. In general, the examples used in the textbook will be different from those covered in class but both may be drawn upon for problem sets or exams.
Every week, there will be problems posted below that are due Wednesday or Friday. These are a core component of the course and they are essential to learning the course material. Unless otherwise noted, all such problems are due at the beginning of class on the date listed. In general, the assignment due on Wednesday will cover material from Monday and the previous Friday; the one due on Friday will cover Tuesday and Wednesday.
The difficulty of the problems will vary from assignment to assignment. Some will build on examples from the text or class while others will present entirely new ideas. Work diligently on these problems and be patient, it takes time to find solutions.
All assignments and reading listed below are organized by due date. For example, a problem set listed for June 29 should be completed by the start of class on June 29. The practice problems, on the other hand, are assigned specifically for the material covered that day.
Refresh this page frequently to ensure that all current assignments are shown.
|Week||Date||Reading||Assignment (TeX File)||Extra Practice|
|6/25||§1, §2, §6 (to Lem 6.1),
§7 (to Thm 7.1)
|Overleaf Tutorial||2.1, 2.2, 2.4, 6.5, 7.5(a,e)|
|2||6/27||§12||Mathematical History (TeX)||13.3, 13.4(a,b)|
|6/28||§13 (up to Lem 13.1)||13.5, 13.7|
|6/29||§3 (Order Relations, up to Ex 12), §14||Homework 2 (TeX)||3.7, 3.11|
|7/1||§15 (thru Ex 1), §16 (Defn, Ex 1,2)||Homework 3 (TeX)||16.1, 16.3, 16.8, 16.9|
|3||7/5||§17 (up to Limit Points)||17.2, 17.20|
|7/6||§17 (Limit Points-end)||Homework 4 (TeX)||17.6, 17.7|
|7/8||Homework 5 (TeX)||17.12, 17.14, 17.18|
|4||7/11||§18 (Continuity of a Function, Constructing Continuous Functions)||18.2, 18.10, 18.12|
|7/12||§18 (Homeomorphisms)||18.3, 18.5|
|7/13||Homework 6 (TeX)
|7/15||Take-Home Midterm (TeX)|
|6||7/25||§20 (up to Thm 20.3)||21.1, 21.3(a)|
|7/27||§19||Homework 7 (TeX)||19.5, 20.4|
|7/29||§23||Homework 8 (TeX)||23.1, 23.5, 23.6|
|8/2||§3 (Equivalence Relations), §25||25.1, 25.4|
|8/3||§26 (thru Thm 26.6)||Homework 9 (TeX)||26.1, 26.3, 26.8|
|8/5||§26 (Thm 26.6-end), §27|
|8||8/8||§31||31.1, 31.2, 31.4|
|8/10||§30||Homework 10 (TeX)||30.4, 30.10|
|8/17||Homework 11 (TeX)|
|8/24|| Homework 12 (TeX)
The Cantor Set (TeX)