CS1050C: Understanding and Constructing Proofs

Spring 2002

MWF 1:05-1:55, Location: Weber SST III, Room 1

Instructor

Margaret Loper

Office: Electronics Research Building (ERB) 248

Phone: 894-4663

Email: margaret@cc.gatech.edu

Office Hours: Monday and Wednesday 11:00-11:45 or by appointment

 

General Class Information

Textbook: Discrete Mathematics with Applications, 2nd edition, by Susanna Epp

Newsgroup: git.cc.class.cs1050c

Web page: http://www.cc.gatech.edu/classes/AY2002/cs1050c_spring

 

Teaching Assistants

Kemin Yang

Office Hours:  Tuesday and Thursday 1:00-2:30pm in CoC common area

Email: kemin@cc.gatech.edu

 

Bessie Yang

Office Hours:  Tuesday and Thursday 11:00-12:00am in CoC common area

Email: bessie@cc.gatech.edu

 

Homework

To do well on the exams, you need to do the homework.  When I make up the exam, I expect that you have done and understood all the homework problems.  If you do not keep up with the homework, you will do poorly on the exams.

Assignments: Homework assignments will be given on Wednesdays and you have one week to complete the assignment.  All assignments must have your name and e-mail address (from your prism account) written legibly at the top.  Failure to write one’s name on the assignment will result in a zero for the assignment.

Late Homework Policy: I will collect homework at the beginning of the class period.  If your homework is more than fifteen minutes late, your homework grade will be reduced by 25%.  If your homework is not turned in during class time on the day it is due and you do not have an excused absence, I will not accept it.

Honor Code: I do not mind if you work together on assignments, but you must write up the solutions on your own.  You are expected to reconstruct the solution to each problem without the help of your study group.  You may not substitute material that is wholly or substantially identical to that created or published (even in web format) by another individual or individuals. 

Re-grade Policy: All re-grade requests must be made to the instructor in writing.  Verbal re-grade requests and any re-grade requests made to someone other than the instructor will not be honored.  If you alter your work after it is graded, please use a different color (not red) than you used when you originally submitted the work. 

 

Exams

We will have two exams during the semester, one February 8th and one March 22nd.  Students are expected to take exams at the scheduled times.  A student who misses an exam may not take it unless the student has received prior approval or, in the case of illness or an emergency, the student calls the instructor within a reasonable time.

 

Grading

Homework: 20%

Exam 1: 25%

Exam 2: 25%

Final 30%

I will use the following grading scale:

A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%

 

Reading Assignments and Topics

 

Date

Topic

Book Section

Homework

Due Date

1/4

Introduction, Syllabus, Logical Form

1.1

 

 

1/7

Logical Equivalence

1.1

 

 

1/9

Conditional Statements

1.2

HW 1

1/16

1/11

Valid and Invalid arguments

1.3

 

 

1/14

Valid and Invalid arguments

1.3

 

 

1/16

Digital Logic Circuits

1.4

HW 2

1/23

1/18

Digital Logic Circuits

1.4

 

 

1/21

NO CLASS – MLK DAY

 

 

 

1/23

Predicates and Quantified Statements

2.1

 

 

1/25

Predicates and Quantified Statements

2.2

HW 3

2/1

1/28

Predicates and Quantified Statements

2.2

 

 

1/30

Arguments with Quantified Statements

2.3

 

 

2/1

Arguments with quantified statements

Review for Test 1

2.3

 

 

2/4

Direct Proofs

3.1-3.3

 

 

2/6

Direct Proofs

3.1-3.1

 

 

2/8

TEST 1

 

 

 

2/11

Direct Proofs

3.1-3.3

 

 

2/13

Direct Proofs

3.4-3.5

 

 

2/15

Direct Proofs

3.4-3.5

 

 

2/18

Indirect Argument

3.6

HW 4

2/25

2/20

Sequences

4.1

 

 

2/22

Sequences

4.1

 

 

2/25

Induction

4.2-4.3

 

 

2/27

Induction

4.2-4.3

HW 5

3/13

3/1

Induction

4.4

 

 

3/4

NO CLASS - SPRING BREAK

 

 

 

3/6

NO CLASS - SPRING BREAK

 

 

 

3/8

NO CLASS - SPRING BREAK

 

 

 

3/11

Induction

4.4

 

 

3/13

Correctness of Algorithms

4.5

 

 

3/15

Correctness of Algorithms

Review for Test 2

4.5

 

 

3/18

Set Theory Definitions

5.1

 

 

3/20

Properties of Sets

5.2

 

 

3/22

TEST 2

 

 

 

3/25

Properties of Sets

5.2

 

 

3/27

Empty Sets, Partitions, Power Sets, and Boolean Algebra

5.3

 

 

3/29

Functions Defined on General Sets

7.1

 

 

4/1

Functions Defined on General Sets

7.1

 

 

4/3

Finite-State Automata

7.2

 

 

4/5

One-to-One and Onto, Inverse Functions

7.3

 

 

4/8

The Pigeonhole Principle

7.4

 

 

4/10

The Pigeonhole Principle

7.4

 

 

4/12

Cardinality

7.6

 

 

4/15

O-notation

9.2

 

 

4/17

Relations on Sets

10.1

 

 

4/19

Relations on Sets

10.1

 

 

4/22

Reflexivity, Symmetry and Transitivity

10.2

 

 

4/24

Equivalence Relations

10.3

 

 

4/26

Equivalence Relations

Review for Final

10.3

 

 

 

Examples

Determining an argument is valid or not (Questions, Answers).

Converting between formal English and Predicates (Questions, Answers).

 

Assignments

Homework 1—Due on 1/16/02 Wednesday

Section 1.1

2,7,13,14,18,24,28,39,44,45

Section 1.2

4,7,10,16b,16e,17b, 26, 30, 35, 40c

 

Homework 2

Section 1.3

5, 9, 22, 25, 31, 37b, 41

Section 1.4

8, 12, 17, 21, 26, 31, 32

 

Homework 3

Section 2.1

5, 10, 11b, 14, 25, 34

Section 2.2

4, 8, 15, 19, 23, 29

Section 2.3

12, 14, 16, 19c, 24, 28                                                        

 

Homework 4 (due 2/25)
3.1: 8, 16, 20, 26, 35
3.2: 10, 19
3.3: 10, 15, 20, 24, 31c
3.4: 3, 9, 20
3.5: 20, 27

 

Homework 5 (due 3/13)
Section 3.6
3, 7, 14
Section 4.1
16, 21, 30, 36, 53
Section 4.2
4, 7, 10, 20
Section 4.3
7, 10, 15
Section 4.4
3, 5

 

Homework#6 (due 4/8)

Section 5.1

7, 14, 17

Section 5.2

11, 12, 18, 33

Section 5.3

13, 18, 23      

 

Homework#7(due 4/15)

section 7.1

2, 12b, 12d

section 7.2

6, 9, 22

section 7.3

3 (a,b), 5 (a,b,c), 9a, 36

section 7.4

16, 29

section 7.6

2, 11, 12

 

Homework#8 (due 4/22)

Section 9.2

6, 12, 22, 26

Section 10.1

2, 6, 14, 18, 30

Section 10.2

10, 16, 22, 24

Section 10.3

5, 10, 16, 28