See the update for H3 below.

 

Math 2305 

CRN 21029

Spring 2009
Dr. DeLaViņa
office hours: Mon&Wed 10:30 - 11:30 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
2 Tests 50%
Homework assignments & quizzes 16%
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 2 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 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 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.
Tentative Dates Textbook Sections Reading assignment Turn-in homework Practice Homework
Wed.1/21/09 Discuss Course and Overview of Ch 1 Logic Read Ch. 1.1 pp.1-16 N/A  
Mon. 1/26/09 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.1/28/09

 

 Ch 1.2 Propositional Equivalences   H1. Handout Over 1.1 & 1.2 Ch. 1.2 pp. 28-29: 1-7 all, 10 b, 11, 12, 13, 15, 16, 17, 19 - 31 odds
Mon. 2/2/09

Online Quiz 1 due

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

 

Wed.2/4/09

H1 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. 2/9/09

Online Quiz 2 due

Ch 1.3 & 1.4 (cont'd) Read Ch. 1.6   see above

 
Wed.2/11/09

 

 Ch 1.6 Introduction to Proofs     Ch. 1.6 pp. 85-86: 1-7 all, 9-12 all, 17, 18, 26, 27, 31, 32, 33
Mon. 2/16/09

 

 Ch 1.6 (con'td)     Ch. 1.6 pp. 85-86: 1-7 all, 9-12 all, 17, 18, 26, 27, 31, 32, 33

 
Wed.2/18/09 Ch 1.6 (con'td) & Ch 2.1 Sets Read Ch. 2.1 & 2.2   Ch. 2.1 #s 1-5 all, 7-9 all, 16, 17, 18, 20, 21, 26-30 all
Mon. 2/23/09

 

 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

 
Wed.2/25/09 Ch 2.2 Set Operations Read Ch. 2.2    

 
Mon. 3/2/09

 

 Discussion of Test 1 & begin Ch 2.3 Functions     for test 1 must know definitions: function, domain, codomain, range, image of an element, image of a set
Wed.3/4/09 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     Suggested sources of review
  • Class notes, quizzes,
  • practice homework
  • Chapter Reviews
  • and the sample test questions
Mon. 3/9/09  Ch 2.3 Functions   H2. Test Corrections due at the beginning of class on Mon 3/23/09 Ch. 2.3 #s 1, 3, 5, 9-16 all, 19, 21, 27-31 all, 36, 38, 39, 40, 41, 66, 67
Wed.3/11/09  Ch 2.3 Functions (con'td)   H3. All the following Practice homework for Ch 2.3 (1, 3, 5, 9, 10, 12, 14, 21, 27, 28, 36, 38 & 39) is due at the beginning of class on Mon 3/23/09 see above

 
Mon 3/16/09 & Wed 3/18/09 Spring break      
Mon. 3/23/09

H2 & H3 due

 Ch 2.4 Sequences and Summations     Ch. 2.4 #s 1-9 odds, 13-19, 27, 28-30 all
Wed.3/25/09

 

 Ch 2.4 Sequences and Summations      
Mon. 3/30/09

 

 Ch 9.1 & 9.2 Introduction to Graph theory      
Wed.4/1/09 Ch 9.1, 9.2 Introduction to Graph theory & Ch 9. 3 Representing Graphs     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

p 618-621 #1, 5, 6, 9, 10, 25, 28, 32 a, b, c, 34-40, 50, 51, 67

 
Mon. 4/6/09 Revisited Functions & brief review of graph theory Ch 9. 4 Connectivity     see above

 
Wed.4/8/09 Ch 9. 3 Representing Graphs & Ch. 3.4 Integers and Division     p. 209 1-11 odds, 15, 17, 18, 19,21,26,27
Mon. 4/13/09 Ch 3.4 (con'td) & & Ch. 3.5 Primes and GCDs     p. 217-218: 1,3, 21, 23, 24, 25, 26, 27, 31
Wed.4/15/09  Ch 4.1 Mathematical Induction     p. 279-281: 3-23 odds, 31, 33

 
Mon. 4/20/09 Ch 4.1 (con'td)      

 
Wed.4/22/09 Test 2:      

 
Mon. 4/27/09 Ch 5.1 The basics of counting     pp. 344-345: 1, 3, 7, 9-13 all, 15, 17, 20, 21, 23, 25, 33, 34
Wed 4/29/09 Ch 5.3 combinations & permutations     TBA
Mon. 5/4/09 Ch 5.4 Binominal Coefficients     TBA

 
Mon.5/11/09

4:00 p.m. - 6:30 p.m.

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

course grade = 0.16Havg + 0.34*Final exam + 0.25*(T1+T2)