APPM 3170 - DISCRETE APPLIED MATHEMATICS
COURSE SCHEDULE & MATERIALS

Fall 2012


Refresh this page everytime you visit it (!)


Exam Samples (Fall 2010)*: e1, e2, e3
Exam Samples (Fall 2011)*: e1, e2, e3
*: Material for reference
only. Section contents for exams may be different this year!

Course Study Recommendations:


Tentative Course Schedule

Week
Day
Date
Main Topic
Homework Problems
Examination Dates & Content
01
M
 AUG/27
Multiplicative
Principle

5.1: 1, 11, 23, 47, 57 & study everything that seems unfamiliar

W
AUG/29
Permutations & Combinations 5.3: 1, 5, 15, 21, 38 & study everything that seems unfamiliar

F
AUG/31
Binomial
Coefficients
5.4: 1, 5, 9, 12, 25 & study everything that seems unfamiliar
02
M
SEP/03
Labor Day - No Classes


W
SEP/05
Generating
Functions
7.4: 1, 5(a-d), 7(a-d), 9a, 9c, 30(a-b)

F
SEP/07
Generating
Functions
More on Section 7.4

Answerkey Hw #1
AUG/27-AUG/31
03
M
SEP/10
Recurrence
Relations
7.1: 1(a-b,d), 5, 11, 19, 35

W
SEP/12
Linear
Recursions
7.2: 1, 3(a-c), 13

F
SEP/14
Linear
Recursions
7.2: 27(a-c), 37
04
M
SEP/17
Models of Thought
1.1: 1, 11, 31, 47, 61
Answerkey Hw #2
SEP/05-SEP/12

W
SEP/19
More on Models
of Thought

1.2: 1(a-c), 7(a-b), 9(a-c), 27, 41


F
SEP/21
Models of Argument
1.3: 3, 7, 11, 33, 59

05
M
SEP/24
More on Models
of Argument
1.4: 1, 13, 15(a-d), 27, 45
1.5: 1, 3, 15, 23


W
SEP/26
 Proof Methods 1.6: 1, 17, 27, 37 Answerkey Hw #3
SEP/14-SEP/21

F
SEP/28
More on Proof Methods 1.7: 3, 11, 23, 40
06
M
OCT/01
Set Theory
2.1: 1, 7, 20, 23, 31


W
OCT/03 More on Set Theory
2.2: 1, 11, 29, 45, 57


R
OCT/04

Additional Practice
Problems for Exam #1
Answerkey Exam #1
AUG/27-OCT/01
5-6:30pm@ECCR 150

F
OCT/05
Functions
2.3: 15, 17, 21, 31, 39 & study everything that seems unfamiliar
07
M
OCT/08
Algorithms
3.1: 9, 41, 45, 53, 55


W
OCT/10
More on Algorithms
More on section 3.1


F
OCT/12
Growth Functions
3.2: 1, 33, 37, 44, 60

08
M
OCT/15
Complexity of Algorithms
3.3: 3, 7, 9, 11, 27
Answerkey HW #4
OCT/03-OCT/10

W
OCT/17
Algorithms over Integers
3.4: 5, 9, 17, 27, 31(c)


F
OCT/19
Greatest common divisor
3.5: 15, 17, 19, 25, 32

09
M
OCT/22
Prime Numbers
3.6: 1, 3, 13, 23, 53


W
OCT/24
More on Primes
3.7: 1, 3, 7, 10, 19
Answerkey HW #5
OCT/12-OCT/19

F
OCT/26
Modular arithmetic
n/a

10
M
OCT/29
Basic Induction
4.1: 3, 6, 19, 31, 52


W
OCT/31
Strong Induction 4.2: 3, 11, 21, 27, 33

F
NOV/02
More on Induction
n/a
Answerkey HW #6
OCT/22-OCT/29
11
M
NOV/05
Recursive Algorithms
4.3: 1, 9, 25, 27, 59


W
NOV/07
More on recursive algorithms
4.4: 7, 11, 19, 24, 44
4.5: read and study section


F
NOV/09
Pigeonhole Principle
5.2: 1, 7, 15, 29, 39


S
NOV/10
Make-up Lecture

11-11:50am @ DUAN G1B25
12
M
NOV/12
More on Pigeonhole Princilple
n/a


T
NOV/13

Additional Practice
Problems for Exam #2

Answerkey Exam #2
OCT/01-NOV/07
5-6:30pm@ECCR 150

W
NOV/14
Divide-and-Conquer algorithms 7.3: 9, 17, 21

F
NOV/16
Divide-and-Conquer recursions n/a
13
M
NOV/19
Fall Break - No Classes



W
NOV/21
Fall Break - No Classes


F
NOV/23
Fall Break - No Classes

14
M
NOV/26
Inclusion-Exclusion method 7.5: 1, 3, 5, 9, 13

W
NOV/28
More on Inclusion-Exclusion  7.6: 3, 6, 13, 22, 25 Answerkey HW #7
NOV/09-NOV/16

F
NOV/30
Graphs
9.1: 3, 5, 7, 9, 13

15
M
DEC/03
Special types of graphs
9.2: 1, 5, 9, 21, 25


W
DEC/05
More on special
types of graphs
n/a


F
DEC/07
Graph isomorphisms
9.3: 1, 11, 13, 17,19, 25, 35, 39
Answerkey HW #8
NOV/26-DEC/03
16
M
DEC/10
More on graph isomorphisms n/a


W
DEC/12
Connectivity
9.4: 1, 11, 17, 19, 25


F
DEC/14
Euler and Hamilton Paths
9.5: 5, 7, 10, 31, 33

17 S
DEC/15

Additional Practice
Problems for Exam #3
Answerkey Exam #3
NOV/09-DEC/14
2-3:30pm @ ECCR 118