Math 3161 – Introduction to Real Analysis

Lecture Time: 2:00pm 3:50pm (MW) Location: Knudson Hall 207

Textbook: Abbott, Understanding Analysis 2nd Ed.

Prerequisite: Math 2080 and Math 2200

Instructor: Mei Yin
   Office and Office Hours: Knudson Hall 203B, 10:30am12:00pm (TR), or by appointment

TA: Gavin St. John
   Office and Office Hours: Knudson Hall 305,
12:00pm2:00pm (TR)

Lecture Schedule: Here is a plan of the course (may be altered for pedagogical reasons as the course develops).

Ch. 1: The Real Numbers
2 weeks
Ch. 2: Sequences and Series
4 weeks
Ch. 3: Basic Topology of R
2 weeks
Ch. 4: Functional Limits and Continuity
2 weeks

Course Description: Topics of study will include a theoretical introduction to the structure of real numbers, to convergence of sequences and series, and to the topology of the real line, including limits and continuity.

Tentative Calendar:

The Week Of
Material Covered
September 11 September 15
Introduction, 1.1, 1.2, 1.3
September 18 September 22
1.4, 1.5
September 25 September 29
2.1, 2.2, 2.3
October 2 October 6
2.3, 2.4, Review
October 9 October 13
Midterm, 2.5
October 16 – October 20
2.6, 2.7
October 23 October 27
2.8, 3.1, 3.2
October 30 November 3
3.2, 3.3
November 6 November 10
4.1, 4.2, 4.3
November 13 November 17
4.3, Review

Grading: Your final grade for the course will be determined based on a numerical weighted average calculated as follows: Homework 30% Midterm 30% Final Exam 40%. This average percentage will then be converted into a final letter grade based partially on how other students perform this quarter, and partially on typical percentage grades from previous quarters of the course.

Homework: Homework will be assigned about once a week. The due date is every Monday at the beginning of the class. Homework must be turned in promptly to receive credit. For submitted problems, students are expencted to show work and justify their answers. Please write your name on the first page. If you are submitting multiple pages, please staple them together. The eight highest homework scores will contribute to 30% of your final grade.

Exams: A midterm is tentatively scheduled during class time on Monday, October 9. The final exam is scheduled on Monday, November 20 at 2:00pm 3:50pm in our usual classroom. Makeup exams will only be offered in the event of extreme circumstances. If you think you have a problem which will force you to miss an exam, come talk to me as soon as possible.

Help: Additional handouts will be distributed throughout the quarter. Students are also encouraged to ask for individualized help from the instructor or the TA at any time.

Students with Disabilities: If you qualify for academic accommodations because of a disability or medical issue, please submit a faculty letter to me from Disability Services Program (DSP) in a timely manner so that your needs may be addressed. DSP determines accommodations based on documented disabilities/medical issues. DSP is located on the 4th floor of Ruffatto Hall, 1999 E Evans Ave, 303-871-2278. Information is also available online at; see the Handbook for Students with Disabilities.

Honor Code: Follow the Honor Code in all activities related to this course. Incidents of academic misconduct will be reported to and investigated by the Office of Student Conduct.

Religious Accommodations: University policy grants students excused absences from class or other organized activities for observance of religious holy days, unless the accommodation would create an undue hardship. Faculty are asked to be responsive to requests when students contact them in advance to request such an excused absence. Students are responsible for completing assignments given during their absence, but should be given an opportunity to make up work missed because of religious observance. Once a student has registered for a class, the student is expected to examine the course syllabus for potential conflicts with holy days and to notify the instructor by the end of the first week of classes of any conflicts that may require an absence (including any required additional preparation/travel time). The student is also expected to remind the faculty member in advance of the missed class, and to make arrangements in advance (with the faculty member) to make up any missed work or in-class material within a reasonable amount of time.

Other: Check the DU academic calendar for important dates throughout the quarter: