Instructor: Adam S. Sikora
115 Math Bldg, Email: asikora at buffalo.edu
Office hours: Tu 3:30-4:30, Th 1-2pm, or by appointment.
Class meets: Tu,Th 2:00-3:20, 150 Math
Recitations: Mth 150, Tu 4-4:50 starting Jan 24.
TA: John Nicponski, Office: 140 Math Bldg, Phone:
645-8825,
Email: johnnicp at buffalo dot edu
TA's office hours: TBA and Math Help Center, Rm 107/110.
Prerequisite: Math 141.
Text:
Lecture Notes
Supplemental text: Mathematical Proofs, A Transition to Advanced Mathematics by Chartrand, Polimeni, and Zhang.
Study Groups: The class will be divided into study groups. Each study
group should meet at least once a week to go over homework and prepare for
quizzes and tests. You may move to another group if you wish and some shifting
of the groups to achieve better balance may occur after the first few weeks.
How to do well in this course:
The beginning of the course seems easy. Do not be misled; it is much harder
than it looks. It covers the most the abstract mathematics you have ever
encountered. It is designed to teach you precision of thinking and
writing proofs. This will make it very difficult for some of you. You are
expected to understand the material well and to be able to come up with proofs
during tests and quizzes. Come to class, take good notes, go over the
lectures every night after class, meet with your study group,
ask questions on the material you do not understand, do the homework,
participate in class and recitation, and get help as soon as you begin to fall
behind. The most important thing is to study hard and to know the definitions
and theorems. Help is available from me (before or after class; or e-mail
for an appointment) and from the TA. You will find it useful to make flash
cards for definitions and propositions. You should plan on spending a minimum
of 10 hours a week in preparation/homework.
Preliminary Test Schedule: Feb 16, Mar 29, Apr 26.
You are
required to know the material in the lectures, the notes (even if not
covered in lecture, except as indicated) and in the homework. Only
non-graphing, non-programmable calculators are permitted on exams/quizzes.
You are expected to attend each test as scheduled, unless you have a
documented medical or other valid excuse. IDs will be checked. Contact me
before taking an exam if you are seriously ill.
Quizzes: There will be a short quiz in each recitation on the recent
material. No makeups will be given, but the 2 lowest marks will be
dropped without penalty.
Additionally, there may be some simple quizzes during lectures.
Homework: due in Tu class. No late homework will be accepted. Each homework assignment will
consist of a large number of problems, of which only some problems (not
specified beforehand) will be graded. You may work jointly on homework
with your study group or other members of the class, but you must write up the
problems on your own.
Final grade will be based on HW (and in-class quizzes if they are given), 100pts, and the best of
| Class Date | Class contents and HW | Due |
|---|---|---|
| Jan 17,19 | Sec 2: 1,2,3,4,5, Sec 3: 2,3,4,6,8,9i,10. | Jan 31 |
| Jan 24,26 | Sec 4: 2,3,4,6,9,10(ii),(iii), and (v),12, Sec 5: 2,3,5,7,9,11 | Feb 9 |
| Jan 31,Feb 2 | Sec 6: 1,2,3 Sec 7: 1,2,3,4,5 | Feb 16 |
| Feb 7,9 | Sec 8: 1,2,3,5,6,7,8, Sec 9: 2,3,4,5 | Feb 23 |
| Feb 14,16,21 | Sec 9: 6,8,9,10,11,12,13,14,15 | Mar 1 |
| Feb 23 | Sec 9: 16, 17,18 Sec 10: 1,2,3 Sec 11: 1,2,3 | Mar 8 |
| Feb 28 | Test 1 (Sec. 2-7) | |
| Mar 1 | Sec 11: 4, Sec 12: 1,2,3,4,7 | Mar 22 |
| Mar 6,8 | Sec 13: 1,2,3 Sec 14: 1,2,3,4 | Mar 29 |
| Mar 13,15 | Spring Break | -- |
| Mar 20,22,27 | Sec 15: 1,4,5 Sec 16: 1,2. New version of notes. | Apr 5 |
| Mar 29, Apr 3 | Sec 15: 2, Sec 17: 1,2,4,5,6. | Apr 12 |
| Apr 5 | Sec 18: 1,2,4. | Apr 19 |
| Apr 10 | Test 2: Sec 8-11 | -- |
| Apr 12 | Sec 20: 1,2,4,5,6,7 | Apr 26 |
| Apr 17,19 | Sec 20: 11, Sec 21: 1,2,3, Sec 22: 4. New version of notes. | May 1 |
| Apr 24 | Review | -- |
| Apr 26 | Test 3: Sec 12,13,14,15,16,17. | -- |