University of Massachusetts, Amherst
Math 300 (Section 2)
Fundamental Concepts of Mathematics
Click here to go the Homework Page
Click here to go to the Course Blog
Course News: These will occasionally be posted to the course web site.
Midterms 1,2 are scheduled for October 14, and November 18, 7-9 pm in LGRT 103. Midterm 2 is scheduled for November 18, 7-9 pm in LGRT 103.
The Final Exam is scheduled for Dec. 17, 1:30-3:30 in LGRT 103.
Meeting times: Tuesdays and Thursdays, 9:30-10:45, in Lederle
206. Additionally, during the first week of class, students will be
assigned to a one-hour per week TA session. Please bring your
schedule to the first day of class so that we can arrange the
assignments. You should make every attempt to attend your own TA
session, but if for some reason, you miss your TA session one day, you
should feel free to attend another one that fits into your schedule.
Dr. Farshid Hajir
Office: Lederle 1118
Email: hajir AT math.umass.edu
Office Hours: Current office hours are Monday and Wednesday
2:00-3:00. These may change after a week or two depending on student
demand. You are always welcome to set up an appointment by
e-mail or phone.
Homework: Homework will be posted on The Homework Page and collected every
Thursday, unless otherwise noted, at the beginning of lecture. Late
homework will not be accepted and the lowest homework grade will be
dropped. Be sure to read and follow the homework rules.
Teaching Assistant and Seminar Leader: Nick Reyes
nzreyes AT student.umass.edu
Office Hours: Friday 3:30-5:30 in 1117 LGRT.
Blog: Here's a link to the course blog, which is a
place where the students can discuss math, including additional
problems posed by Farshid and/or Nick and/or the students themselves.
Texts: 1) Gilbert and
Vanstone: An Introduction to Mathematical Thinking, Prentice
2) I have posted FARSHID'S
Quizzes: Quizzes may be given by the TA during discussion
sections or by Farshid during lecture; they will probably not be
announced ahead of time. They will consist of one or two very simple
questions. Absolutely no make-up quizzes will be given. Your lowest
quiz grade will be dropped when computing your quiz average score.
Remarks: They became so numerous, they lobbied successfully for
their own page.
Attendance: Attendance is required both during lectures and at
the discussion sections. The instructors of the course consider
attendance AND participation important ingredients for your success in
the course. Frequent absences will be reflected in your
Extra Credit: Some extra credit problems will be included in
the homework assignments, or given during class. The number of points for each
problem will vary, as will the difficulty of the problem. The student
with the most points at the end of the semester wins a fabulous
prize. You may hand in Extra Credit solutions at any time throughout
the term, until the last day of class.
homework, quizzes, participation - 30%
2 midterms - 20% each
Final exam - 30%
>= 86% and < 90%
>= 82% and < 86%
>= 78% and < 82%
>=74% and < 78%
>= 70% and < 74%
>=65% and <70%
>=60% and < 65%
The approximate schedule of topics and readings is as follows.
Note: Readings in Gilbert-Vanstone are in ().
Readings from Farshid's notes are in . Thus, (1.2--1.6)
refers to sections 1.1 through 1.6 of Gilbert-Vanstone
and [II] refers to Chapter 2 of Farshid's notes.
Week 1: Problem Solving, Intro to proofs (1.1) [I]
Week 2: Reasoning methods, basic logic, sets (1.2--1.6) [II]
Functions, injection, surjection, bijection, inverse (6.1--6.5) [III]
Week 4: Finite sets (6.6) [IV]
Week 5: Equivalence relations, partitions (3.3) [V]
Week 6: Review, MIDTERM 1
Week 7: Counting Principles [VI]
Week 8: Mathematical Induction (4.1--4.3) [VI]
Week 9: Elementary number theory, divisibility (2.1--2.5) [VII]
Week 10: Congruences (3.1-3.6) [VII]
Week 11: Review, MIDTERM 2
Week 12: The set of real numbers, countability (5.1--5.4) [VIII]
Week 13: Uncountable sets, Cantor's theorem (6.6) [VIII]
Week 14: Complex Numbers (8.1--8.4) [IX]
Week 15: Complex Numbers (8.5--8.8) [IX]