MATH 431/531
SPRING 2026
Text: Introduction to Real Analysis, 4th ed., Bartle and Sherbert, Wiley Publishers
Lecturer:
X. Li
202 Mathematics
XL29@buffalo.edu
Office Hours: Tuesdays, 3:00PM – 4:00PM or by appointment
Location: 202 Mathematics
Course Schedule:
Lecture Time: TuTh 12:30PM - 1:50PM
Location: Math 250
Recitations (Start Week 1):
Section A1: TA Mathie,Joe
Fridays, 1:00PM-1:50PM Park 440
Email: jqmathie@buffalo.edu
Grader:
Prerequisite
Math 241 or Math 251.
Examinations and Grading Policy:
There will be 4 exams given during the lecture periods: EXAM #1 will be on 2/5
(Thursday); EXAM #2 will be on 3/5 (Thursday); EXAM #3 will be on 4/9 (Thursday) and EXAM
#4 will be on 5/5 (Tuesday). There will be NO “make-up” exams. Instead, each student’s worst
exam will NOT be used in determining the course grade. There will be NO FINAL
EXAMINATION.
Calculators are not permitted during any exam.
Quizzes
Weekly 10-minute quizzes during recitations (except Week 1)
No make-ups will be given.
The lowest two quiz scores will be dropped.
Homework
Homework will be assigned and collected and graded 4 times during the semester. Due
dates will be posted on Brightspace in the Announcements section.
Only a selection of problems (not specified in advance) will be graded.
Submission: Homework must be submitted in person at the beginning of lecture on
the due date.
o No late homework will be accepted. Students must pick up the graded
homework in class.
o Please take a photo of your completed homework for your records, in case it is
lost.
Grading Breakdown
Exams: 20% each
Homework: 25%
Quizzes: 15%
Final letter grades will be curved.
Students with disabilities:
If you have a diagnosed disability (physical, learning or psychological) which will make it
difficult for you to carry out the course work as outlined, or require help such as recruiting note
takers and readers or extended time on exams and/or quizzes, please make this known to me during
the first two weeks of the course so we may review possible arrangements for reasonable
accommodations.
Making up an Incomplete:
Do NOT re-register for this course if you are using it to make-up an incomplete (“I”).
Go to Mathematics Room 244 and ask for an incomplete petition.
Sign the petition.
(a) If your original instructor determined that the work was to be completed with him/her,
take the completed petition form to your original instructor for his/her signature.
(b)If your original instructor determined that the work was to be completed by your
repeating the course, take the completed petition form to me for my signature.
5. Return the petition form to Mathematics Room 244 by the last day of drop/add.
1.
2.
3.
4.
Homeworks
1/22-1/27
1.1, 1.2, 1.3, 2.1
p. 10; 5, 11, 18
p. 15; 1, 6, 13, 18
p. 22; 6, 8, 11
p. 30; 7, 9, 19
1/29-2/3
2.2, 2.3, 2.4, 2.5 , REVIEW
p. 35; 4, 11, 13
p. 39; 4, 7, 10
p. 44; 1, 8, 13, 16
p. 52; 2, 9, 12, 13
2/5-2/10
EXAM # 1, 3.1, 3.2
p. 61; 1, 4, 8, 14
p. 69; 1, 2, 9, 10, 17
2/12-2/17
3.3, 3.4, 3.5
p. 77; 1, 2, 4, 11, 12
p. 84; 1, 4, 7, 9
p. 91; 1, 10, 12
2/19-2/24
3.6, 3.7, 4.1
p. 93; 1, 5
p. 100; 2, 11, 12, 15, 16, 17, 18
p. 110, 1, 5, 7, 13
2/26-3/3
4.2, 4.3, REVIEW
p. 116; 1, 2, 10, 12, 15
p. 123; 7, 11
3/5-3/10
EXAM # 2 , 5.1, 5.2, 5.3
p. 129; 3, 7, 8, 11
p. 133; 1, 3, 7, 12, 13
p. 140; 4, 6, 17
3/12-3/24
5.4, 5.5
p. 148; 2, 3, 6, 7, 9, 11, 16
p. 152: 1, 5, 9, 10
3/26-3/31
5.6, 6.1, 6.2
p. 160; 3, 4, 10, 12
p. 171; 7, 8, 9
p. 179; 2, 4, 6, 15, 17, 20
4/2-4/7
6.3, 6.4, REVIEW
p. 187; 7, 9, 14
p. 196; 1, 3, 4, 16
4/9-4/14
EXAM #3, 7.1, 7.2
p. 206; 1, 2, 7, 11, 12, 13
p. 215; 1, 5, 6, 8, 9, 10, 16
4/16-4/21
7.3, 7.4, 8.1
p. 223; 2, 7, 11, 15, 16
p. 233; 1, 3, 7
p. 246; 3, 9, 19, 20, 22, 23
4/23-4/28
8.2, 8.3, 8.4
p. 252; 1, 5, 7, 12
p. 259; 3, 4, 8
p. 265; 2, 3
4/30-5/5
REVIEW; EXAM #4
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