T. Andrew Yang

 

Email:yang@uhcl.edu

Web page: http://sce.uhcl.edu/yang/

Tel.: (281) 283-3835

 


Last updated:

 

July 2008

Discrete Mathematics

Summer 2008  (6/9 – 8/9)

  • Check the discussion group for recent announcements & reminders.  To join the group, you'd need to have a Google id. To be accepted into the discussion group, make sure that your Google id contains both your first and last names. If you have not joined the discussion group yet, you may join at http://groups.google.com/group/Math3331Summer2008.
  • Note: Sample test questions and additional exercises for the chapters can be found in the Files section of the discussion group.

·         Important Information:

o    In addition to the exercises required by the instructor, you may want to work on some of the other exercises at the end of each sub-section. Appendix B of the text book contains complete or partial solutions to some of the exercises. Note: Work on an exercise first to try to solve it yourself before checking the provided solution.

Class Notes, Topics & Schedule

- Print out the class notes for the day and bring them to the class.

Assignments & Projects


Time & Classroom

Tue. & Thur. 9 - 11:30am (Delta 241)

Prerequisite:  College Algebra

Course Objectives:  This is an introductory course intended to give the student the basics of discrete mathematics to build a strong foundation for more advanced work. Major topics covered in the course, and the approximate allocated number of hours, are listed below:

-          The Logic of Compound Statements (4 hours)

-          The Logic of Quantified Statements (4 hours)

-          Sequences and Mathematical Induction (4 hours)

-          Set Theory (3 hours)

-          Counting (9 hours)

-          Recursion (6 hours)

-          O-Notation (3 hours)

-          Graphs and Trees (9 hours)

Class Format:  Lectures are combined with in-class exercises and discussions.  Students are expected to be active participants, by studying the relevant chapters, and participating at in-class exercises and discussions.


Instructor:   Dr. T. A. Yang

(office) Delta 106

(phone#) (281) 283-3835 (Please leave a message if not available.) 

NOTE: If the suite office is locked, you may use the phone outside the office to call me (by entering the extension 3835).

(email address) yang@uhcl.edu

Important note: Emails without a subject line or signature will be considered as potential viruses and be discarded.  Here is a sample subject line: "Math3331 exercise 1, question 1".

(Web site) http://sce.uhcl.edu/yang
NOTE: Find the assignments and/or projects at the  Assignments & Projects page.

NOTE: In addition, you are highly encouraged to send your questions to me by e-mails. Try to provide sufficient details in your email message, such as the problem(s) you have encountered, the solution(s) you have tried, and the outcome you have got from these solution(s).

Teaching Assistant: 

Name: Sayali Umbarkar

Email: umbarkars4361@uhcl.edu

Location: Math Center (2.101 Student Support Building, 1st floor, next to the Fitness Center)

Office Hours:

Monday                2:30-4:30

Tuesday               11:30-4:30

Wednesday          2:30-4:30

Thursday              11:30-4:30

Monday         11:30 AM-4:30 PM (updated hours starting June 19)

Tuesday         1:30 PM-4:30 PM

Wednesday    1:30 PM-4:30 PM

Thursday       11:30 AM-4:30 PM

 Note: If you could not make it to any of the office hours, please send an email to the TA to make a special appointment.

Tutoring: 

The School of Science and Computer Engineering (SCE) and the Math Center at UHCL provide tutoring services for fundamental computer science and mathematics courses. Please contact the SCE office and the Math Center for the respective tutoring hours.

UHCL’s Dean of Students office also provides tutoring services for various courses.

 

Resources: 

The student companion site for the text contains various resources.

 


Required Text:

Susanna S. Epp.

Discrete Mathematics with Applications.

Brooks Cole; 3 edition (December 22, 2003)

ISBN: 0534359450

+ Instructor's handout in the class and/or on the Web

 


Topics and Notes
NOTE: The following schedule will be followed as closely as possible, although changes are probable.  Always check with your instructor if you are not sure what would be covered next week.

wk (dates)

Topics (Sections)

Due

1 (6/10)

Syllabus
The Logic of Compound Statements (1.1, 1.2)

 

1  (6/12)

The Logic of Compound Statements (1.3)

 

 

2 (6/17)

The Logic of Quantified Statements (2.1, 2.2, 2.3, 2.4)

Exercise #1

Note: Exercises are due every Tuesday.

2 (6/19)

Elementary Number Theory and Methods of Proof (3.1)

 

3 (6/24)

Elementary Number Theory and Methods of Proof (3.5, 3.6, 3.8)

Exercise #2

3  (6/26)

 

Note: Each person should comment on five or more of the abstracts posted by the classmates.

Report abstract - Post the abstract of your report to the class discussion group.

4 (7/1)

Sequences and Mathematical Induction (4.1, 4.2) + exam review (sample solution to Q7)

Exercise #3

4 (7/3)

Exam

Exam #1

5 (7/8)

Set Theory (5.1, 5.2, 5.3)

Exercise #4

5 (7/10)

Counting (6.1, 6.2, 6.3, 6.4, 6.5)

 

6 (7/15)

Recursion (8.1, 8.2)

Exercise #5

6 (7/17)

Functions (7.1, 9.1)

O-Notation, etc. (9.2)

 

7 (7/22)

Graphs Intro. (11.1)

Exercise #6

7 (7/24)

Paths and Circuits (11.2)

 

8 (7/29)

Review questions

Exercise #7

8 (7/31)

Exam

Exam #2

9 (8/5)

<no class meeting>

Note: Each person should comment on five or more of the drafts posted by the classmates.

8/4: report draft – post it in the discussion group

9 (8/7)

<no class meeting>

Note: Send the final report to yang@uhcl.edu as an email attachment.

8/8: Final report


Evaluation:

 

category

percentage

Exercises (top 5 of the 7)

40%

Exams

40%

Research report

10%

Participation

10%

Total:

100%

NOTE:  The accumulated points from all the categories determine a person's final grade. There will be no extra-credit projects.

Grading Scale:

 

Percentile

Grade

93% or above

A

90% - 92%

A-

87% - 89%

B+

84% - 86%

B

80% - 83%

B-

77% - 79%

C+

74% - 76%

C

70% - 73%

C-

60%-69%

D

59% or below

F

Exams:

Most questions in the exams come from the exercises. Advanced questions requiring the ability to apply the learned knowledge toward problem solving will also be included.

Assignments and Late Penalty:

Assignments and projects will be posted at the class web site. Assignments & projects are due before the beginning of the class on the due day.  See Topics and Notes for the due dates. 

Points will be deducted from late assignments: 20% for the first 24 hours after the due time, 40% for the next 24 hours, 70% for the third 24 hours, and 100% after that. No extension will be granted except for documented emergency. Starting to work on the assignments as early as possible is always the best strategy.

Academic Integrity:

Unless otherwise specified, all assignments and projects are individual work.  Students should take caution not to violate the academic honesty policies.  See UHCL Online Policies for details.

 

Assignments Guidelines:

When applicable, check the following before submitting your assignments.

a. Identification page: All assignments must have your name, and course name/number/section number (e.g., CSCI5132-01 or CSCI5333-03) at the top of the first page.

b. Proper stapling:  Staple all the pages together at the top-left corner. NOTE: Do not use paper clips.

c. Order! Order!  Arrange the solutions following the sequence of the questions. Write the question number at the top-right corner of each page.

d. Word  processing It is required that you type your reports (e.g., print them using a printer). Use a word processor and appropriate typesetting and drawing tools to do the assignments. Spell-check the whole document before printing it. You may loose points due to spelling or grammatical errors. 


Attendance Policy:

You are expected to attend all classes. If you ever miss a class, it is your responsibility to get hold of whatever may have been discussed in the class.

Instructor's Notes:

  • Unless due to unexpected, documented emergency, no make-up exams will be given.  No make-up exams will be granted once the exams have been corrected and returned to the class. 
  • Important:   If you think you have lost some points due to grading errors, make sure you approach the instructor within a week after the assignment, project, or test is returned to you.  
  • To get the most out of this class, you need to read the textbook and spend time working on the exercises regularly.  Be prepared for a class by previewing the material to be covered in that class. Participate in discussions and problem-solving exercises, if applicable, in the class.
  • Due to the intensive nature of summer classes, 15-20 hours per week are expected of students in studying the textbook/notes and working on the assignments, in addition to class attendance.

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