Representation, analysis, techniques, and principles for manipulation of basic combinatoric data structures used in computer science. Rigorous reasoning is emphasized. (Counts as a CS Background Course for the concentration.)
Basic (high school level) calculus and algebra.
Tues-Thur 2-3:30 pm, GCB 205.
I expect you to come to lectures (on time!) and I encourage you to participate. There is no perfect textbook for the class, and lectures are your important source of information. Be sure to take good notes.
Lab: MCS B29, Mon, 1:00pm-2:00pm
Lab: MCS B33, Mon, 2:00pm-3:00pm
Behzad Golshan, firstname.lastname@example.org
Office Hourse: Thursday 12:00 (noon) - 1:30pm and Fri 3:00pm - 4:30pm.
Behzad’s office hours take place in the undergraduate lab
The Teaching Fellow will lead the discussion sessions. The objective is to reinforce the concepts covered in the lectures, and answer questions (or provide clarifications) regarding the homework assignments.
The purpose of the office hours of the Instructor and Teaching Fellow is to answer specific questions or clarify specific issues. Office hours are not to be used to fill you in on a class you skipped or to explain entire topics. Please come to class and to your discussion session.
There is no perfect textbook that covers all the material of this course from a CS perspective. We will mostly make use of the following online notes. Do not print anything yet! The notes are 339 pages long, so you might consider printing them out in chapters as we get to them rather than all at once. We won’t cover all chapters anyway.
Notes for MIT’s CS 6.042 course (PDF format), by Eric Lehman and Tom Leighton, 2004.
Together with your lecture notes, these notes should be quite sufficient, but if for some reason you want to do additional reading, you might consider some discrete mathematics book, e.g., Discrete Mathematics and Its Applications, by Kenneth H. Rosen, McGraw Hill. However, be warned: each discrete math book has its cons and they can be quite expensive!
Problem sets (20%)
2 midterms (25% each)
1 final (30%)
Incompletes will not be given.
Late assignments will not be accepted. The assignment grade will be the average over all assignments (the two lowest-grade assignments will be ignored).
|Jan 17, 19||Introduction: Logic and Proofs||Chapter 1|
|Jan 24, 26||Proof by Induction I||Chapter 2|
|Jan 26||Homework 1; Due Feb 2 at 2pm||pdf solutions|
|Jan 31, Feb 2||Proofs by Induction II||Chapter 3|
|Feb 2||Homework 2; Due Feb 9 at 2pm||pdf solutions|
|Feb 7||Review class|
|Feb 7||Review material for exam 1||review-questions and solutions|
|Feb 9||Exam 1|
|Feb 14, 16||Sums and Approximations||Chapters 10, 11|
|Feb 16||Homework 3; due Feb 23||pdf solutions|
|Feb 21||No Class; Monday Schedule|
|Feb 23||Recurrences||Chapter 12|
|Feb 28, Mar 1||Recurrences||Chapter 12|
|March 1||Homework 4; due March 8||pdf solutions|
|Mar 6,8||Recurrences||Chapter 12, 13|
|Mar 8||Homework 5; due March 22||pdf solutions|
|Mar 13,15||Spring Break|
|March 20,22||Recurrences||Master Theorem|
|Mar 22||Homework 6; due March 29||pdf solutions|
|Mar 23||Review material for exam 2||review-questions andsolutions|
|Mar 27||Review Class|
|Mar 29||Exam II|
|April 3, 5||Counting||Chapters 14, 15, 16|
|April 6||Homework 7; Due April 13||pdf solutions|
|Apr 10,12||Counting||Chapters 14, 15, 16|
|April 13||Homework 8; Due April 23||pdfsolutions|
|Apr 17,19||Counting||Chapters 14,15, 16|
|Apr 24, 26||Probability||Chapters 18,19|
|April 26||Homework 9; Due May 3||pdf solutions|
|May 1||Review class|
|May 1||Review material||pdfand solutions|
Course participants must adhere to the CAS Academic Conduct Code. All instances of academic dishonesty will be reported to the academic conduct committee. Collaboration/Academic Honesty
I encourage you to discuss course material and even problem sets with other students in the class (esp. on the class mailing list), subject to the following rules:
You must write up your solutions completely on your own (and certainly without looking at other people’s write-ups).
In your solution to each problem, you must write the names of those with whom you discussed it.
You must include citations of all the materials you have used beyond the class notes and the textbook.
You may not consult solution manuals or other people’s solutions from similar courses or prior years of this course.
I expect you to follow these rules as well as the academic conduct code of CAS/GRS. If you have any questions or are not sure what is appropriate, consult me before taking steps that you are afraid may violate the rules.
If you violate the academic conduct code, you will be reported to the Academic Conduct Committee.