Fall 2006
Theme: Basic primitives and paradigms for the mathematical
understanding of computation.
Tentative list of topics:
MWF 1:05-2, CoC Room 102.
Alexander Gray,
Assistant Professor
Office hours: TBA, TSRB Room 240, or by appointment.
Howard, howardz *AT* cc.gatech.edu
Office Hours: M 10-12, F 2-3,
held in the College of Computing Commons Area on the first floor.
(1) Discrete Mathematics and Its Applications, 6th Edition, by Kenneth H.
Rosen.
(2) Notes from a similar class at Berkeley.
Weekly or biweekly homeworks (we shall drop the lowest 2 grades):
33.33%.
You may discuss the homeworks with other people in the class.
But:
You MUST write your answers by yourselves, without any collaboration and
without using any resource, as if you are taking a test.
You should also
indicate on the top of your homework who, if anyone, you discussed the homework
with.
Academic conduct is subject to the Georgia Tech Honor
Code.
Complete solutions will be always posted on the Web shortly
after the deadline.
Homeworks are due at the beginning of class on the
noted date.
Late homework policy: no credit for late homeworks.
Two quizes: 33.33%.
Final exam: 33.33%.
Nayan Jain (nayan.jain *AT* gatech.edu)
Seth Finberg (sfinberg3 *AT* gatech.edu)
Daniel Neuberger (Daniel.neuberger *AT* gatech.edu)
Andrew Ho (gtg939x *AT* mail.gatech.edu)
Matthew Robertson (mhr *AT* gatech.edu)
| Date | Topic | Reading | Homework |
| Mon, Aug 21 | Course Overview | |
|
| Wed, Aug 23 | Proofs: logic and logical inference |
Rosen textbook, Chapter 1 Optional: Intro Lecture from Berkeley Class and Intro Lecture from MIT Class. |
|
| Fri, Aug 25 | Proofs: direct and indirect |
Rosen textbook, Chapter 1 Optional: Intro Lecture from Berkeley Class and Intro Lecture from MIT Class. |
|
| Mon, Aug 28 | Proofs: types and strategies |
Rosen textbook, Chapter 1 Optional: Intro Lecture from Berkeley Class and Intro Lecture from MIT Class. |
HW1 out |
| Wed, Aug 30 | Induction and recursion: proof by induction | Rosen textbook, Chapter 4 | |
| Fri, Sep 1 | no class |
|
|
| Mon, Sep 4 | holiday | |
|
| Wed, Sep 6 | Induction and recursion: strong induction, recursive definitions | Rosen textbook, Chapter 4 | HW1 due |
| Fri, Sep 8 | Induction and recursion: structural induction, generalized induction | Rosen textbook, Chapter 4 | |
| Mon, Sep 11 | Induction and recursion: recursive algorithms |
Rosen textbook, Chapter 4 | |
| Wed, Sep 13 | Analysis of algorithms: big-O notation, complexity | |
HW1 solutions out |
| Fri, Sep 15 | Analysis of algorithms: complexity, bubble sort, sums | |
HW2 out |
| Mon, Sep 18 | Analysis of algorithms: merge sort | |
|
| Wed, Sep 20 | Recurrence Analysis | |
Supplement1 out |
| Fri, Sep 22 | Recurrence Analysis | |
|
| Mon, Sep 25 | Review for Quiz 1 | |
|
| Wed, Sep 27 | Review for Quiz 1 | |
HW2 due, Supplement1 due HW2 solutions out Supplement1 solutions out |
| Fri, Sep 29 | QUIZ 1 | |
|
| Mon, Oct 2 | Solutions for Quiz 1 | |
HW3 out |
| Wed, Oct 4 | Counting: Sets | |
Quiz1 solutions out |
| Fri, Oct 6 | Counting | |
|
| Mon, Oct 9 | Counting | |
HW3 due, HW3 solutions out HW4 out |
| Wed, Oct 11 | Probability | |
|
| Fri, Oct 13 | Probability | |
|
| Mon, Oct 16 | fall break | |
|
| Wed, Oct 18 | Probability | |
HW4 due, HW4 solutions out HW5 out |
| Fri, Oct 20 | Probability | |
|
| Mon, Oct 23 | Probability | |
|
| Wed, Oct 25 | Probability | |
HW5 due, HW5 solutions out HW6 out |
| Fri, Oct 27 | Number Theory | |
|
| Mon, Oct 30 | Number Theory | |
|
| Wed, Nov 1 | Number Theory | |
|
| Fri, Nov 3 | Number Theory | |
HW6 due, HW6 solutions out Supplement2 out |
| Mon, Nov 6 | Number Theory | |
|
| Wed, Nov 8 | Review for Quiz 2 | |
Supplement2 due, Supplement2 solutions out |
| Fri, Nov 10 | QUIZ 2 | |
|
| Mon, Nov 13 | Solutions for Quiz 2 | |
HW7 out, Quiz2 solutions out |
| Mon, Nov 15 | Number Theory | |
|
| Fri, Nov 17 | Number Theory | |
|
| Mon, Nov 20 | Number Theory | |
HW7 due, HW8 out, HW7 solutions out |
| Wed, Nov 22 | Number Theory | |
|
| Fri, Nov 24 | holiday | |
|
| Mon, Nov 27 | Infinities | |
|
| Wed, Nov 29 | no class | |
Supplement3 out |
| Fri, Dec 1 | Halting problem | |
HW8 due, HW8 solutions out |
| Mon, Dec 4 | |
|
|
| Wed, Dec 6 | Review for Final Exam | |
Supplement3 due, Supplement3 solutions out |
| Fri, Dec 8 | Review for Final Exam | |
|
| Week of Dec 11-15 | Final Exam | |
|