Final Exam Review Note: Wednesday May 5th I only have time between 1:30 - 3:00,  but I have time on Friday the 7th around 2:00

Test 3 Solutions

Test 2 Solutions

Last MAA Club Meeting on May 3, 2010 at 3pm in N619. They will have pizza, drinks, and be giving away FREE MAA Club T-SHIRTS.

Math 2405 

CRN 20679

Spring 2010
Dr. DeLaViņa
office hours: Tue 1:30 - 2:30 &Wed 3:00 - 4:00 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%
Class Activities, homework assignments & quizzes 17%
Cumulative Final Exam 32%
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 2 homework , class activity 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 Online  quizzes (available at www.uhd.edu/uhdonline using e-services username & password) will over 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 2 homework and or quiz grades before computing the final homework/quiz average. 
Attendance Beginning on the 2nd week of classes I will take attendance either by sign in sheet or by class activity. 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  (see the schedule)
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.
Tentative Dates Textbook Sections Reading assignment Turn-in homework Practice Homework
Wed.1/20/10 Discuss Course Read Ch. 1.1 pp.1-16    

 

Mon. 1/25/10 Ch 1.1 Logic Read Ch. 1.2   Ch. 1.1 pp. 16-18: 1-7 odds, 8 a-d, 11 -19 odds, 23-27 odds, 33 (a-c)
Wed.1/27/10

 

 Ch 1.2 Propositional Equivalences     Ch. 1.2 pp. 28-29: 1-7 all, 10 b, 11, 12, 13, 15, 16, 17, 19 - 31 odds
Mon. 2/1/10

 

 Ch 1.2 (cont'd) Read Ch. 1.3 & 1.4   see above

 

Wed.2/3/10

Online Quiz 1  due

 Ch 1.3 Quantifiers & Ch 1.4 Nested Quantifiers     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
Mon. 2/8/10

 

 Ch 1.4 (cont'd) & Ch 1.6 Introduction to Proofs Read Ch. 1.6   see above & Ch. 1.6 pp. 85-86: 1-7 all, 9-12 all, 17, 18, 26, 27, 31, 32, 33
Wed.2/10/10 Ch 1.6 (cont'd) Read Ch. 2.1 & 2.2    

 
Mon. 2/15/10

 

 Ch 1.6 (cont'd)  & Ch 2.1 Sets      Ch. 2.1 #s 1-5 all, 7-9 all, 16, 17, 18, 20, 21, 26-30 all
Wed.2/17/10 Ch 2.2 Set Operations     Ch. 2.2 #s 3-14 all, 16-18 all, 19-35 odds, 45, 46, 48, 49
Mon. 2/22/10

 

 Ch 2.2 (cont'd)     see above
Wed.2/24/10 Test 1 Over Ch 1.1-1.4, 1.6, 2.1 & 2.2  Sample Questions Previous Test 1 Note that your test will also include the topic of Sets   H1: All of Ch 1.6 practice homework due before the beginning of class. i.e. all Ch. 1.6 pp. 85-86: 1-7 all, 9-12 all, 17, 18, 26, 27, 31, 32, 33 due at the beginning of class. Suggested sources of review
  • Class notes, quizzes, class activities
  • practice homework
  • Chapter Reviews in text
  • and the sample test questions
Mon. 3/1/10

 

 completed Ch 2.2 & Began 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
Wed.3/3/10 Ch 2.3 Functions (con'td)     see above
Mon. 3/8/10 Ch 2.3 Functions (con'td)     see above

 
Wed.3/10/10 quiz 5 is due No Class on this day BUT quiz 5 is due on this day      
Mon 3/15/10 & Wed 3/17/10 Spring break      

 
Mon. 3/22/10

 

 Ch 2.4 Sequences and Summations     Ch. 2.4 #s 1-9 odds, 13-19, 27, 28-30 all
Wed.3/24/10 quiz 6 is due

 

 Ch 9.1 & 9.2 Introduction to Graph theory (these are the notes I brought to class) the modified homework is p 596 #13 & pp 608-609 1, 3, 12, 20, 29, 30, 31, 33, 37, 42, 43, 47, 53     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
Mon. 3/29/10

Test 2 Solutions

 Test 2: Over 2.1, 2.2, 2.3, 2.4, 9.1 & part of 9.2 (see modified homework for 9.2)      
Wed.3/31/10

note quiz on graph theory now available

 Ch 9.2 Introduction to Graph theory continued and Ch 9.3 Graph Isomorphisms

note quiz on graph theory now available

   H2: To complete the exercise (showing the two graphs are isomorphic) at the end of my class notes Ch 9.2 continued pp 608-609 4, 5, 6,  21, 23, 25, 26,  54, 55

Ch. 9.3 pp. 619-620 #s 34-40, 50, 51, 67

Mon. 4/5/10

H2 due

 Ch 3.4 The Integers & Division (I'll bring the notes)

 

   H3: Turn in all practice homework for Ch 3.4 (see assignment on the right) p. 209 1-11 odds, 15, 17, 18, 19, 20, 21, 22, 26,27
Wed.4/7/10  

Ch 3.5 & 3.6 Prime Numbers

    

p. 217-218: 1, 3, 20, 21, 22, 23, 24, 26, 31

p. 230: 24 & 25

 
Mon. 4/12/10

H3 due

 Ch 4.1 (I'll bring the notes)

 

   H4: Turn in #4 on p. 279 due Wednesday p. 279: 3-12 all, 15, 19, 31, 32
Wed.4/14/10

H4 due

 Ch 4.1

 

      
Mon. 4/19/10 Ch 4.1 (finish) & Ch 5.1 (begin)     pp. 344-345: 1, 3, 7, 9-13 all, 15, 17, 21, 23, 25, 33, 34
Wed.4/21/10 Ch 5.1 (finish) and discuss test 3      
Mon. 4/26/10  

Test 3: 9.1-9.3, 3.4, 3.5, 3.6, 4.1

      
Wed 4/28/10 quiz on seq & summation is active now. Ch 5.3 Combinations & Permutations (I'll bring the notes to class)

 

     Ch 5.3 pp. 360-361: 1-4 all, 10, 11 - 19 odds, 21, 27, 31, 33
Mon. 5/3/10  

Ch 5.4 Binomial Coefficients

     Ch 5.4 pp. 369: 1-9 all,
Mon.5/10/10

1:00 p.m. - 3:30 p.m.

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

course grade = 0.17*Havg + 0.32*Final exam + 0.17*(T1+T2+T3