MAT 511 Fundamental concepts of mathematics.
There are two sections of MAT 511, LEC 1 (Prof. Olga Plamenevskaya) and LEC 2 (Prof. Julia Viro).
The sections will generally follow the same syllabus but not necessarily cover the same topics in the same weeks.
The homework assignments will be different in the two sections. It is therefore crucial that you attend class in the section you are enrolled in.
The webpage for MAT 511 LEC 2 can be found here.
This is the webpage for MAT 511 LEC 1.
The Final Exam is scheduled for Thursday, Dec 18, 8:00- 10:00 pm.
We will have a review session in class on Monday, Dec 15. (Dec 15 follows the Thursday schedule on
the University calendar, so we'll have a class)
- Instructor: Olga Plamenevskaya, office 3-107 Math Tower,
- Office hours: Thursday 6:00-6:50 pm and 9:50-10:20 pm.
- Class meetings: Thursday, 6:50-9:50pm, Math 4-130.
A Transition to Advanced Mathematics , by Smith, Eggen, and St. Andre, Thomson Brooks/Cole, 6th edition.
This is a required text. Parts of the homework will be assigned from it.
Grading policy: your grade for the course will be based on:
homework 40%, in-class work 30%, final exam 30%
There will be occasional quizzes in this class (sometimes they will be announced, sometimes not).
The quizzes will contribute to your in-class score. No makeups for missed quizzes will be allowed.
Make-ups for missed final will be allowed only in exceptional cases of unforeseen circumstances
beyond student's control. Proper documentation will be required.
Homework: weekly assignments will be posted on
this page, and will be due in class the following week. Late homework will not be accepted.
- Homework 1 (pdf), due Sept 11. Reading:
sections 1.1, 1.2, 1.4 of the textbook.
- Homework 2 (pdf), due Sept 18. Reading:
sections 1.3, 1.5, 1.6 of the textbook (pay special attention to p. 51) Read ahead for
- Homework 3 (pdf), due Sept 25. I think this hw is harder than the
- Homework 4 (pdf), due Oct 2. Reading:
section 2.4 Read ahead for
- Homework 5 (pdf), due Oct 16. Reading:
sections 2.4, 2.5
- Homework 6 (pdf), due Oct 23. Reading:
section 2.1, parts of 2.2 Read ahead for
sections 2.2, 2.3
- Homework 7 (pdf), due Oct 30.
- Homework 8 (pdf), due Nov 6.
sections 3.1, 3.2 Read ahead for
sections 3.3, 3.4
- Homework 9 (pdf), due Nov 13.
sections 3.3, 3.4, 4.1, part of 4.4 Read ahead for
sections 4.4, 4.2, 4.3
- Homework 10 (pdf), due Nov 20.
sections 4.4, 4.2, 4.3
- Homework 11 (pdf), due Dec 4. Reading:
please read about functions again. Almost everybody did poorly on the quiz.
- Homework 12 (pdf), due Dec 11.
sections 5.2, 5.3
Please look at these and all the past homeworks, focusing on topics that you find hardest. Bring your
questions to the review on Monday, Dec 15. (The review will be a question-answer session. I won't
actually teach anything.)
Course description: This course aims to develop your appreciation of the logical basis of mathematics,
and to lay the foundation for subsequent courses in the program. One of our goals will be to enhance your ability to understand and construct proofs.
We will discuss fundamental ideas like number, set, and function; topics to be covered are
1.3 5beh, 7afh
1.4 5d, 7bdf
1.5 6b, 12b
1.6 1ac, 7c
2.1 3i, 4acgk, 5ac
2.2 10c, 11c, 14ace, 17dejk
2.4 8ako, 9af, 15be
3.1 3b, 20ab
3.2 1aek, 3ad, 6a
3.3 3b (check that this is an equiv relation), 6d (check that you get an equiv relation!)
4.3 1ack, 3, 8ae,9c, 10a, 17ac
4.4 2ac, 7ac, 14ad, 15b, 19a, 22a
5.2 1, 4a
5.3 12ab, 16a
A more detailed schedule, along with homeworks, will be posted below as the
- Logic and proofs
- Mathematical induction
- Set theory, relations and partitions
- Axioms and construction for integers, rationals, and reals
Students with Disabilities:
If you have a physical, psychological, medical, or learning
disability that may impact your course work, please contact
Disability Support Services at (631) 632-6748 or
They will determine with
you what accommodations are necessary and appropriate. All
information and documentation is confidential.
Students who require assistance during emergency evacuation are
encouraged to discuss their needs with their professors and
Disability Support Services. For procedures and information go to the