APPM 3170 - DISCRETE APPLIED MATHEMATICS

COURSE SCHEDULE & MATERIALS


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Quiz Samples (Fall 2008)*: q1, q2, q3, q4, q5

Exam Samples (Fall 2008)*: e1, e2, e3

*: Material for reference
only. Section contents for quizzes and exams are different this year!

Course Study Recommendations:


Tentative Course Schedule

Week
Day
Date
Main Topic
Homework problems
for Quizzes

Examination Dates
01
M
 AUG/24
Multiplicative
Principle

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

W
AUG/26
Permutations & Combinations 5.3: 1, 5, 15, 21, 38, & study everything that seems unfamiliar

F
AUG/28
Binomial
Coefficients
5.4: 1, 5, 9, 12, 25, & study everything that seems unfamiliar
02
M
AUG/31
Generating
Functions
7.4: 1, 5(a-d), 7(a-d), 9a, 9c, 30(a-b) Answerkey Quiz #1
AUG/24-AUG/28


W
SEP/02
Generating
Functions
More on Section 7.4


F
SEP/04
Recurrence
Relations
7.1: 1(a-b,d), 5, 11, 19, 35
03
M
SEP/07
N/A
Labor Day: No classes!


W
SEP/09
Linear
Recursions
7.2: 1, 3(a-c), 13, 27(a-c), 37

F
SEP/11
Linear
Recursions
More on Section 7.2
Answerkey Quiz #2
AUG/31-SEP/09
Answerkey for selected homework problems for Quiz #2
04
M
SEP/14
Models of Thought
1.1: 1, 11, 31, 47, 61


W
SEP/16
More on Models of Thought
1.2: 1(a-c), 7(a-b), 9(a-c), 27, 41


F
SEP/18
Models of Argument
1.3: 3, 7, 11, 33, 59

05
M
SEP/21
More on Models
of Argument
1.4: 1, 13, 15(a-d), 27, 45
1.5: 1, 3, 15, 23
Answerkey Quiz #3
SEP/11-SEP/18
Answerkey for selected homework problems for Quiz #3

W
SEP/23
 Proof Methods 1.6: 1, 17, 27, 37

F
SEP/25
More on Proof Methods 1.7: 3, 11, 23, 40
06
M
SEP/28
Set Theory
2.1: 1, 7, 20, 23, 31


T
SEP/29

Practice Problems for Exam #1
Answerkey Exam #1 (5-6:30pm)
AUG/24-SEP/25
@ ECCR 137


W
SEP/30 More on Set Theory
2.2: 1, 11, 29, 45, 57


F
OCT/02
Functions
2.3: 15, 17, 21, 31, 39 & study everything that seems unfamiliar
07
M
OCT/05
Algorithms
3.1: 9, 41, 45, 53, 55


W
OCT/07
More on Algorithms
More on section 3.1


F
OCT/09
Growth Functions
3.2: 1, 33, 37, 44, 60
Answerkey Quiz #4
Sep/28-Oct/02
Answerkey for selected homework problems for Quiz #4
08
M
OCT/12
Complexity of Algorithms
3.3: 3, 7, 9, 11, 27


W
OCT/14
Algorithms over Integers
3.4: 5, 9, 17, 27, 31(c)


F
OCT/16
Greatest common divisor
3.5: 15, 17, 19, 25, 32

09
M
OCT/19
Prime Numbers
3.6: 1, 3, 13, 23, 53
Answerkey Quiz #5
Oct/05-Oct/16
Answerkey for selected homework problems for Quiz #5

W
OCT/21
More on Primes
3.7: 1, 3, 7, 10, 19


F
OCT/23
Modular arithmetic
n/a

10
M
OCT/26
Basic Induction
4.1: 3, 6, 19, 31, 52


W
OCT/28
N/A
Campus Closed due to Winter Storm


F
OCT/30
Strong Induction 4.2: 3, 11, 21, 27, 33 Answerkey Quiz #6
Oct/14-Oct/23
11
M
NOV/02
Recursive Algorithms
4.3: 1, 9, 25, 27, 59


W
NOV/04
More on recursive algorithms
4.4: 7, 11, 19, 24, 44
4.5: read and study section


R
NOV/05

Practice Problems for Exam #2
Answerkey Exam #2 (5-6:30pm)
SEP/28-OCT/30
@ ECCR 137

F
NOV/06
Pigeonhole Principle
5.2: 1, 7, 15, 29, 39

12
M
NOV/09
More on Pigeonhole Princilple
n/a


W
NOV/11
Divide-and-Conquer algorithms 7.3: 9, 17, 21

F
NOV/13
Divide-and-Conquer recursions n/a
13
M
NOV/16
Inclusion-Exclusion method 7.5: 1, 3, 5, 9, 13 Answerkey Quiz #7
NOV/02-09

W
NOV/18
More on Inclusion-Exclusion  7.6: 3, 6, 13, 22, 25

F
NOV/20
Graphs
9.1: 3, 5, 7, 9, 13

14
M
NOV/23
N/A Fall Break: No classes!


W
NOV/25
N/A Fall Break: No classes!

F
NOV/27
N/A Fall Break: No classes!
15
M
NOV/30
Special types of graphs
9.2: 1, 5, 9, 21, 25


W
DEC/02
More on special types of graphs
n/a
Answerkey Quiz #8
NOV/09-16

F
DEC/04
Graph isomorphisms
9.3: 1, 11, 13, 17,19, 25, 35, 39


S
DEC/05


Makeup lectures (9:45-11:15am)
@ ECCR 110
16
M
DEC/07
More on graph isomorphisms n/a


W
DEC/09
Connectivity
9.4: 1, 11, 17, 19, 25


F
DEC/11
Euler and Hamilton Paths
9.5: 5, 7, 10, 31, 33

17
W
DEC/16
N/A

Additional Office Hours
Morning: 9-10:40am
Evening: 1-2:40pm

R
DEC/17

Practice Problems for Exam #3 Answerkry Exam #3
NOV/02-DEC/11
@ DUAN G131