Lectures

Schedule:

Detailed Information:

Note

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Date Topic Lecture Notes References
01/20 Lecture 01 (Umrawal)
Course introduction and preliminaries

Lec 01

Note 01

 [SITC] - Ch. 0
01/22 Lecture 02 (Umrawal)
Preliminaries (Cont.) and proof techniques

Lec 02

Note 02

 [SITC] - Ch. 0
01/27 Lecture 03 (Umrawal)
Intro. to languages and deterministic finite automata (DFAs)

Lec 03

Note 03

 [SITC] - Ch. 1
01/29 Lecture 04 (Umrawal)
Regular operations and non-deterministic finite automata (NFAs)

Lec 04

Note 04

 [SITC] - Ch. 1
02/03 Lecture 05 (Umrawal)
Equivalence of DFAs/NFAs and Regular Expressions (RegExs)

Lec 05

Note 05

 [SITC] - Ch. 1
02/05 Lecture 06 (Umrawal)
Equivalence of DFAs/NFAs/RegExs

Lec 06

Note 06

 [SITC] - Ch. 1
02/10 Lecture 07 (Umrawal)
Non-regularity and fooling sets

Lec 07

 Note 07
Extra 07		 [SITC] - Ch. 1,
[JEMC] - Ch. 3
02/12 Midterm 1
In-class midterm covering Lectures 01 - 06
02/17 Lecture 08 (Alabi)
Context-free grammars and context-free languages

Lec 08

 Note 08
Extra 08		 [SITC] - Ch. 2,
[JEMC] - Ch. 5
02/19 Lecture 09 (Alabi)
Push-down automata

Lec 09

 Note 09
Extra 09		 [SITC] - Ch. 2
02/24 Lecture 10 (Alabi)
Turing machines

Lec 10

Note 10

 [SITC] - Ch. 3,
[JEMC] - Ch. 6
02/26 Lecture 11 (Alabi)
Universal Turing machines

Lec 11

Note 11

 [SITC] - Ch. 3,
[JEMC] - Ch. 6
03/03 Lecture 12 (Umrawal)
Reductions and recursions

Lec 12

Note 12

 [JEAL] - Ch. 1
03/05 Lecture 13 (Umrawal)
Divide & conquer and selection algorithms

Lec 13

Note 13

 [JEAL] - Ch. 1
03/10 Lecture 14 (Umrawal)
Backtracking

Lec 14

Note 14

 [JEAL] - Ch. 2
03/12 Midterm 2
In-class midterm covering Lectures 07 - 13
03/24 Lecture 15 (Umrawal)
Dynamic programming I

Lec 15

Note 15

 [JEAL] - Ch. 3
03/26 Lecture 16 (Umrawal)
Dynamic programming II

Lec 16

Note 16

 [JEAL] - Ch. 3
03/31 Lecture 17 (Alabi)
Graphs and basic search

Lec 17

Note 17

 [JEAL] - Ch. 5
04/02 Lecture 18 (Alabi)
Directed graphs

Lec 18

Note 18

 [JEAL] - Ch. 5, 6
04/07 Lecture 19 (Alabi)
Shortest paths I

Lec 19

 Note 19
Extra 19		 [JEAL] - Ch. 8
04/09 Lecture 20 (Alabi)
Shortest paths II

Lec 20

Note 20

 [JEAL] - Ch. 9
04/14 Midterm 3
In-class midterm covering Lectures 14 - 19
04/16 Lecture 21 (Alabi)
Minimum spanning trees

Lec 21

Note 21

 [JEAL] - Ch. 7
04/21 Lecture 22 (Umrawal)
Reductions

Lec 22

Note 22

 [JEAL] - Ch. 12
04/23 Lecture 23 (Umrawal)
NP complete problems and reductions I

Lec 23

Note 23

 [JEAL] - Ch. 12
04/28 Lecture 24 (Umrawal)
NP-complete problems and reductions II

Lec 24

Note 24

 [JEAL] - Ch. 12
04/30 Lecture 25 (Umrawal)
Decidability

Lec 25

Note 25

 [JEMC] - Ch. 7
05/05 Midterm 4
In-class midterm covering Lectures 20 - 25