Last updated: 4/29/08 Tue 9:45 a.m.

  • Class Review for Final Exam with Instructor: Wednesday, April 30, 2008 from 8:30 am to 10:30 am. Room A-701.

 

Math 2305 

CRN 21029

Spring 2008

Dr. DeLaViņa
office hours: Mon&Wed 2:30 - 3:30 and by appointment
office: South 712
email: delavinae@uhd.edu

phone #: 713 226 5241

fax: 713-221-8086 make sure to write ATTN.: Dr. DeLaViņa

 

Catalogue description Topics include sets and functions, Elementary Number Theory, logic, induction, combinatorics, relations and graph theory.
Prerequisites MATH 1404 or MATH 1305 or MATH 1306; and credit or enrollment in CS 1410.
Text book Discrete Mathematics and Its Applications, 6th Edition, Kenneth H. Rosen, McGraw-Hill, 2007. Publisher link.
Chapters to be covered
  • Ch 1. Sections 1-4,6
  • Ch 2. Sections 1-4
  • Ch 3. Sections 4-6
  • Ch 4. Sections 1-2
  • Ch 5. Sections 1-5
  • Ch 9. Sections 1-4
Grades
3 Tests 51%
Homework assignments & quizzes 15%
Cumulative Final Exam 34%
Grading Scale
A 100-90
B 89-80
C 79-70
D 69-60
F below 60
Homework Assignments All assignments are on the syllabus, which is posted on my web page. 
  • Practice homework: I strongly suggest that you attempt all assigned problems as the tests will reflect these problems and any other problems done in class. Ten to fifteen minutes will be allotted at the beginning of each class so that you may ask questions over the previous class meeting's assignment. There is no way that I can answer all questions at this time, so see the section on where to get help.  
  • Turn in homework: The due dates for the turn in homework (which is sometimes distinct from the practice homework) will be given with each assignment. No late homework assignments will be accepted. You have two ways to makeup a zero on homework. One way is that I "may" assignment bonus homework (which are optional.) The other way is that I will drop the lowest 4 homework and or quiz grades before computing the final homework/quiz average. But, you may turn the assignments in early by email, fax or sliding under my door  before the end of class on the due date.
  • Reading Assignments: I strongly suggest that you read the sections before we discuss them in class. I may assign some reading assignments for a grade.
Quizzes Short quizzes will be over the previous class meetings lecture and homework material. The objective for quizzes will be to check for understanding of the basic material (homework and reading assignments), and thus will be much simpler than exams. No makeup quizzes will be given. However,  as described above I will drop the lowest 4 homework and or quiz grades before computing the final homework/quiz average. 
Attendance Beginning on the 2nd week of classes I will take daily attendance. At the end of the semester, if you have not missed more than 4 class meeting, then I will replace your lowest test grade with your final exam grade (if it is better). Also in the event that you are absent, visit this syllabus online to see what content and assignments you have missed.
Where to get help 1. My office hours are for all of my students' to ask questions.
2.  The Collaborative Learning Committee Center in S735 offers tutoring  (look for the tutoring hours about the 3rd week of the semester.)
3.  Try study groups with students in our class.
Statement on reasonable accommodations UHD adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with disabilities.  Students with disabilities should register with the office of Disabled Student Services and contact me in a timely manner to arrange for appropriate accommodations.

Course Content and Tentative Dates: The rest of the information will be filled in throughout the semester. In the event that you are absent please check this website for assignments and content covered.

Tentative Dates Textbook Sections Reading assignment Turn-in homework Practice Homework
Tue.1/15/08 Discuss Course and Overview of Ch 1 Logic Read Ch. 1.1 pp.1-16 N/A  
Thu. 1/17/08 Ch 1.1 Logic Read Ch. 1.2   Ch. 1.1 pp. 16-18: 1-7 odds, 8 a-d, 11 - 27 odds, 33, 37, 45
Tue.1/22/08

Quiz 1 over Ch 1.1

Ch 1.2 Propositional Equivalences   H1. Ch. 1.2 pp. 28: #12 part b) is due at the beginning of class by Tue 1/29/08 Ch. 1.2 pp. 28-29: 1-7 all, 10 b, 11, 12, 13, 15, 16, 17, 19 - 31 odds
Thu. 1/24/08 Ch 1.2 (cont'd)   see above see above

 

Tue.1/29/08

H1 due

Ch 1.3 Quantifiers & Ch 1.4 Nested Quantifiers   H2. Ch. 1.4 pp. 61: 28 & 30 a-d are due at the beginning of class by Tue 2/5/08 Ch. 1.3 pp. 46-49: 1-15 odds, 19 a-d, 43, 45, 51

Ch. 1.4 pp. 58-62: 1,  5 a-d, 15 a-d, 19-23 odds, 27, 31, 33

Thu. 1/31/08

Quiz 2 over Ch 1.2 & 1.3

Ch 1.3 (cont'd) & Ch 1.6     see above

 

Tue.2/5/08

H2 due

Ch 1.6 Ch 1.4      

 

Thu. 2/7/08 Sample Questions Previous Test 1

H2 due & H3: All practice homework due at the beginning of class

Test 1 Over Ch 1.1-1.4 & 1.6     Suggested sources of review
  • Class notes, quizzes,
  • practice homework
  • pp. 105 - 108 Review questions #s 1-4 all, 6-13 all, 16 and Supplementary Exercises #s 1-9 all, 13-19 all, 21-29 all, 31,  32, 35
  • and the sample test questions
Tue.2/12/08 Ch 1.6 Introduction to Proofs   H4. Ch. 1.6 pp. 85-86: 6, 18 (a) & 26 are due at the beginning of class by Tue 2/19/08 Ch. 1.6 pp. 85-86: 1-7 all, 9-12 all, 17, 18, 26, 27, 31, 32, 33

 

Thu. 2/14/08

Quiz 3 over Ch 1.6 (direct, indirect and contradiction beginning of proofs)

Ch 1.6 (con'td)      

 

Tue.2/19/08

H4 due & Quiz 3 over Ch 1.6 (direct, indirect and contradiction beginning of proofs)

Ch 1.6 (con'td)    

Ch. 2.1 #s 1-5 all, 7-9 all, 16, 17, 18, 20, 21, 26-30 all

Thu. 2/21/08  Ch 2.1 Sets      

 

Tue.2/26/08 Ch 2.1 Sets & Ch 2.2 Set Operations     Ch. 2.2 #s 3-14 all, 16-18 all, 19-35 odds, 45, 46, 48, 49

 

Thu. 2/28/08

Quiz 4 over Sets

Ch 2.1 Sets & Ch 2.2 Set Operations      

 

Tue.3/4/08 Ch 2.2 Set Operations     see above

 

Thu. 3/6/08 Test 2 Ch 1.6, 2.1 & 2.2      

 

Tue.3/11/08  Ch 2.3 Functions     Ch. 2.3 #s 1, 3, 5, 9-16 all, 19, 21, 27-31 all, 36, 38, 39, 40, 41, 66, 67
Thu. 3/13/08

 

 Ch 2.3 Functions & Ch 2.4 Sequences and Summations   H5. Test 2 corrections are due at the beginning of class by Tue 3/25/08

print this handout and submit it together with grade graded Test 2.

H6. Ch 2.3 practice homework is due at the beginning of class by Thu 3/27/08

Ch. 2.4 #s 1-9 odds, 13-19, 27, 28-30 all
Tue 3/18/08 & Thu 3/20/08 Spring break      
Tue.3/25/08

H5 due

 Ch 2.3 Functions     Ch. 2.4 #s 1-9 odds, 13-19, 27, 28-30 all
Thu. 3/27/08

H6 due

Ch 2.4 Sequences and Summations      
Tue.4/1/08 Finish 2.4      

see above

Thu. 4/3/08 Ch 9.1 & 9.2 Introduction to Graph theory     p 596 #13 & pp 608-609 1, 3, 4, 5, 6, 12, 20, 21, 23, 25, 26, 29, 30, 31, 33, 37, 42, 43, 47, 53, 54, 55
Tue.4/8/08 Finish 9.2 &  Ch. 3.4 Integers and Division     p. 209 1-11 odds, 15, 17, 18, 19,21,26,27
Thu. 4/10/08 Ch 3.4 (con'td) & & Ch. 3.5 Primes and GCDs    

p. 217-218: 1,3, 21, 23, 24, 25, 26, 27, 31

Tue.4/15/08 Test 3      

 

Thu. 4/17/08  Ch 4.1 Mathematical Induction     p. 279-281: 3-23 odds, 31, 33

 

Tue.4/22/08 Ch 4.1 Mathematical Induction     see above

 

Thu. 4/24/08 Ch 5.1 The basics of counting     pp. 344-345: 1, 3, 7, 9-13 all, 15, 17, 20, 21, 23, 25, 33, 34
Thu.5/8/08

10:00 a.m. - 12:30 p.m.

Final Exam Comprehensive. Bring a Blue Book. Formula for course grade:

course grade = 0.15*Havg + 0.34*Final exam + 0.17*(T1+T2+T3)