CS1050B: Understanding and Constructing Proofs

Fall 2002

 

MWF 12:05-12:55, Location: Boggs-Chemistry, Room B6

Instructor

Margaret Loper

Office: Electronics Research Building (ERB)

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.cs1050b

Web page: http://www.cc.gatech.edu/classes/AY2002/cs1050b_fall

Teaching Assistants

Hailemelekot Seifu

   seif@cc.gatech.edu

   Tuesday/Thursday 9-10 CCB commons area

Barath Petit

   bpetit@cc.gatech.edu

   Friday 2- 4 at CCB 154

Yi Ma

   mikema@cc.gatech.edu

   Monday 9-11 CCB commons area

Abhishek Kumar

   akumar@cc.gatech.edu

   Wednesday 10-12 CCB 154

 

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: You have one week to complete homework assignments.  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 you do not turn in your homework by the end of class, 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 September 23rd and one October 28th.  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

8/19

Introduction, Syllabus, Logical Form

1.1

 

 

8/21

Logical Equivalence

1.1

 

 

8/23

Conditional Statements

1.2

 

 

8/26

Valid and Invalid arguments

1.3

HW 1

9/4

8/28

Valid and Invalid arguments

1.3

 

 

8/30

Digital Logic Circuits

1.4

 

 

9/2

NO CLASS ¨C LABOR DAY

 

 

 

9/4

Digital Logic Circuits

1.4

HW 2

9/11

9/6

Predicates and Quantified Statements

2.1

 

 

9/9

Predicates and Quantified Statements

2.2

 

 

9/11

Predicates and Quantified Statements

2.2

 

 

9/13

Arguments with Quantified Statements

2.3

HW 3

9/20

9/16

Arguments with quantified statements

Review for Test 1

2.3

EnglishtoPredicate-questions

EnglishtoPredicate-answers

ValidArgumentEx-questions

ValidArgumentEx-answer

9/18

Direct Proofs

3.1-3.3

SampleTest1 

 

9/20

Direct Proofs

3.1-3.3

 

 

9/23

TEST 1

 

 

 

9/25

Direct Proofs

3.4-3.5

 

 

9/27

Direct Proofs

3.4-3.5

 

 

9/30

Indirect Argument

3.6

  HW 4

 

10/2

Sequences

4.1

 

 

10/4

Sequences

4.1

 

 

10/7

Induction

4.2-4.3

 

 

10/9

Induction

4.2-4.3

 

 

10/11

Strong Induction

4.4

 

 

10/14

NO CLASS ¨C Midterm Recess

 

 

 

10/16

Correctness of Algorithms

4.4

  HW5

  10/23

10/18

Correctness of Algorithms

4.5

 

 

10/21

Set Theory Definitions

5.1

  Practice Exam 2

 

10/23

Properties of Sets

5.2

 

 

10/25

Empty Sets, Partitions, Power Sets, and Boolean Algebra

5.3

 

 

10/28

TEST 2

 

 

 

10/30

Functions Defined on General Sets

7.1

 

 

11/1

Finite-State Automata

7.2

 

 

11/4 Review Test 2 ¡¡ ¡¡ ¡¡

11/6

One-to-One and Onto, Inverse Functions

7.3

 

 

11/8

The Pigeonhole Principle

7.4

HW 6

11/18

11/11

Cardinality

7.6

 

 

11/13

O-notation

9.2

 

 

11/15

Relations on Sets

10.1

 

 

11/18

Relations on Sets

10.1

 

 

11/20

Reflexivity, Symmetry and Transitivity

10.2

HW7

11/27

11/22

Reflexivity, Symmetry and Transitivity