Mathematics for Computer Science

Announcements

  • The class did well on a long and challenging final exam: here's the histogram. This, plus the fact that 25% of the initially enrolled students dropped the subject, merited a generous grading: we gave A grades to 61% of the class and B grades to another 30%.

  • Final exams are with the 6.042 subject secretary, Chuck Wright, chuck@csail.mit.edu, room 32-G646, 3-6025, 9am--2pm. You may make an appointment with Chuck to view and copy your final ---we keep the original, however.

  • Here are the complete handouts (w/o solutions) as a single 700pp, 13Meg pdf-file. These consist of the following subfiles

  • Outside instructors may request access to the problem solutions and slide powerpoint sources by emailing

Calendar

February

2 REG DAY 3 1st day of classes:
ln1: good & bad proofs

slides, class probs & solns

4 5 ln1: proofs by contradiction & cases

TP1 due 5PM

slides, class probs & solns

pset 1 out, due Thurs, Feb 12

6
9 ln2: propositional logic

slides class probs & solns

10 ln2: predicate logic

reading comments due 10AM
& TP2 due before class

slides, class probs & solns

11

pset 2 out, due Thurs, Feb 19

12 ln2: sets

pset 1 due & solns

slides class probs & solns

13
16 President's day 17 ln3: functions & relations

reading comments due 10AM
& TP3 due before class

slides class probs & solns

18

pset 3 out, due Thurs, Feb 26

19 ln3: partial orders

pset 2 due & solns


miniquiz & solns

slides class probs & solns

20
23 ln3: partial orders &
scheduling

slides class probs & solns

24 ln3: well ordering

reading comments due 10AM
& TP4 due before class

pset 4 out, due Mar 5

slides class probs & solns

25 26 ln4: induction

pset 3 due & solns

slides class probs & solns

27

March

2 ln4: recursive data
structural induction

slides, class probs & solns

3 ln5: state machines
invariants

reading comments due 10AM
& TP5 due before class

slides, class probs & solns

4

pset 5 out, due Mar 12

5 ln5: state machines
derived variables, termination

pset 4 due & solns
miniquiz & solns

slides, class probs & solns

6
9 ln6: simple graphs:
degrees, isomorphism

slides class probs & solns

10 ln6: connectedness, trees

reading comments due 10AM
& TP6 due before class

slides class probs & solns

pset 6 out, due Mar 19

11 12 ln6: graph coloring, bipartite matching

pset 5 due & solns

slides class probs & solns

13
16 ln6: planar graphs

slides class probs & solns

17 ln7: communication networks

slides class probs & solns

reading comments due 10AM
& TP7 due before class

18 19 ln7: digraphs

pset 6 due & solns

miniquiz & solns

slides class probs & solns

20

pset 7 out, due Apr 2

23 Spring break 24 Spring break 25 Spring break 26 Spring break 27 Spring break
30 ln8: gcd & integer linear combinations

slides class probs & solns

31 ln8: modular arithmetic, inverses mod p

reading comments due 10AM
& TP8 due before class

slides class probs & solns

pset 8 out, due April 9

Apr 1 Apr 2 ln8: inverses mod n, RSA encryption

pset 7 due & solns

slides class probs & solns

Apr 3

April

6 ln9: harmonic sums, Stirling's approximation

slides class probs & solns

7 ln9: asymptotics

reading comments due 10AM
& TP9 due before class

slides class probs & solns

8

pset 9 out, due April 16

9 ln10: counting with bijections

pset 8 due & solns

miniquiz & solns

slides class probs & solns

10
13 ln10: general product & division rules

slides, doc-cam scan, class probs & solns

14 combinations &
card magic

slides, class probs & solns

reading comments due 10AM
& TP10 due before class

15 16 ln10: inclusion-exclusion & counting repetitions

pset 9 due & solns

slides class probs & solns

17

pset 10 out, due April 30

20 Patriot's Day 21 Patriot's Day 22 23 ln11: binomial theorem
combinatorial identities

miniquiz & solns

slides class probs & solns

24
27 ln11: generating functions:
for counting

reading comments due 10AM
& TP11 due before class

slides class probs & solns

28 ln11: generating functions:
for recurrences

slides class probs & solns

29

pset 11 out, due May 7

30 ln12: intro to probability

pset 10 due & solns

slides class probs & solns

May

4 ln12: conditional prob & independence

slides class probs & solns

5 ln12: random variables &
binomial distribution

reading comments due 10AM
&
TP12 due before class

slides, class probs & solns

6 7 ln12: sampling & confidence

miniquiz & solns

pset 11 due & solns

slides class probs & solns

8
11 ln13: expectation

optional: TP13

slides class probs & solns

12 ln13: deviation

slides class probs & solns

13 14 ln12: law of large numbers

exit-survey
slides class probs & solns

15
18 Exam week 19 Exam week

6.042 Final, 1:30-4:30pm
in room 34-101

final solns

20 Exam week 21 Exam week 22 Exam week
The Class List and problem solutions are password protected. Log into the online tutor for the password.

Online Tutor Login

New Users: Register for the Tutor to get a password.

User Name:
Password:

Forgot your login/password? Send email to


For website issues, contact the
Creative Commons License 6.042 lectures & problems by Prof. Albert R Meyer is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License .

This document last modified Wednesday, 03-Jun-2009 19:13:49 EDT