Welcome!
Here you will see info about what we did in class, upcoming exams, solutions for past exams, etc.,
CHECK AT LEAST ONCE A WEEK!!
NOTES, TESTS AND HOMEWORKS FROM PROOFS I
COURSE PAGE WITH SYLLABUS, GRADING SCHEME ETC
Reference: Johnsonbaugh's "Discrete Mathematics" 8th edition.
NOTES, TESTS AND HOMEWORKS FROM Spring 2019 PROOFS II
Started 1/10/2020
Room change: From now on we will meet in Annex 3, 210 (Graduate school bldg).
Enter from 4th and College, go to the right and then go up.
LAST DAY TO REQUEST LETTER GRADES IS MONDAY, 13TH.
GRADES AS OF 4/10/20 ON BLACKBOARD. GRADING SCHEME TO BE EMAILED.
PLEASE SUBMIT TEACHER EVALUATIONS.
Wednesday, 4/22/20.
Grades have been posted under "Content," on blackboard.
The total from the 4 quizzes along with scores for test and project have been added and the total out of 300 is divided by 3 to get your percentage score.
I have given extra credit to those who did exceptionally well with the project.
I will post the grades on bisonweb early next week.
Monday, 4/20/2020
Wednesday will be out last class with remaining project presentations.
Will put grade sheet on blackboard soon after.
Wednesday, 4/15/2020
Please go to "file exchange" on your group page in Black board and read all comments and instructions in the file with "rev" at the end of its name.
Next week we will have presentations on your project in class talkng about everything you learned in task1 and task 2.
Solutions to oral quiz from class today.
Monday, 4/13/2020
Please read the Updated Notes (refresh browser) on Binomial probability distribution including derivation of Poisson distribution from it.
We will have an oral quiz wednesday on these problems on the notes above.
Friday, 4/10/2020
Please read the Updated Notes (refresh browser) on Binomial probability distribution including derivation of Poisson distribution from it.
We will go over this monday and it will be useful for the project task 2.
For those who submitted satisfactory reports under task 1, I have reviewed their papers and uploaded the review to "File Exchange."
It should contain: (a) Your grade for task 1 at top, (b) comments, if any, on the sides (c) suggestions for improvement and instructions for task 2 at the end of the file.
Please complete task 2 by end of next week. During the last week we will have 15 minute presentations in class.
We will have an oral quiz wednesday on Binomial distribution and Poisson distribution.
SOLUTIONS FOR QUIZ 3 problems on exponential functions and differential equations.
Monday, 4/6/2020
Please read the Notes on Binomial probability distribution including derivation of Poisson distribution from it.
We will have an oral quiz wednesday on these problems on exponential functions and differential equations.
Study notes on those topics as well as video on exponential functions and spread of coronavirus.
Wednesday, 4/1/2020
Please read the Updated Notes (Refresh browser) on Basics of probability.
Please try the problems in the last page.
We will have a quiz next wednesday (details soon), on exponential functions and differential equations.
Monday, 3/30/2020
Please read the Notes on Basics of probability .
Also read the Notes from problem session.
We will have a quiz soon, on exponential functions and differential equations.
Sunday, Mar 29, 2020.
I have posted projects for each person in Blackboard.
Log in, select this course, and please look under group tasks in the group with your name in it.
(most of you are in single person groups).
You might also see it under "My tasks".
You can use the group file exchange to put up your project related work.
All work must be submitted in Blackboard in your group page.
Task 2 to be posted next week, due monday April 13.
Please try to finish the current task by the end of next week.
Each student will be required to give a presentation.
Task 1: 30 points (penalty 10 points /week for late submission); Task 2: 30 points; presentation: 40 points.
Wednesday, 3/25/2020
Please read the Updated Notes (Refresh browser) on Differential Equations and Spread of Diseases.
Includes what we did in class.
Please try to answer all practice questions.
Tuesday, 3/23/2020
I will email everyone with invites for tomorrow's class in a minute. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read the Notes on Differential Equations and Spread of Diseases.
It is based on MAA article linked below.
Please try to answer all questions on last page.
Thursday, 3/19/2020
I just emailed everyone about our classes going forward. Please write to ssitaraman AT howard.edu (NOT bison.howard) if you didn't get it.
Please read this article
on S.I.R model of spread of disease by Mathematical Association of America
TRY TO ANSWER ALL QUESTIONS IN ARTICLE.
Wednesday, 3/11/2020
Today we watched This video on spread of coronavirus
We also learned how to develop differential equations modeling spread of disease.
Please read this article
on S.I.R model of spread of disease by Mathematical Association of America
TRY TO ANSWER ALL QUESTIONS IN ARTICLE.
Monday, 3/9/2020
Midterm Grades on Bisonweb and Current Grade Sheet on Blackboard have been posted.
There was an error in problem one of both midterm review and midterm exam. It has been corrected (see below).
Regret the error. Please refresh reload file after opening it.
Friday, 3/6/2020
Midterm Grades on Bisonweb and Current Grade Sheet on Blackboard by this afternoon.
Thursday, 3/5/2020
Please read the
MIDTERM EXAM PROBLEMS
MIDTERM EXAM SOLUTIONS
MIDTERM TEST ON WEDNESDAY MARCH 4.
Please study all class notes, quiz solutions and the following review problems.
Please also try the practice problems in the class notes.
We will go over some practice / review problems monday.
Midterm review problems
Solutions to problems are below.
Monday, 3/2/2020
Midterm review problems solutions
Please try the problems first before looking at solutions.
Friday, 2/28/2020
Please read the Notes on Hamiltonian Cycles from this week.
Let me know if you would like me to post anything else.
Monday, 2/24/2020
Today we went over quiz. Will go over the graph theory problems 7,8,9,10 from 2/14 notes below, on wednesday.
Today also we started discussing Hamiltonian cycles and Traveling Salesman Problem.
If possible, read Johnsonbaugh's "Discrete Mathematics" 8th edition, chapter 8 section 3 for more.
Will post notes from today soon.
Please let me know ASAP if you are interested in doing your project on wikipedia.
Friday, 2/21/2020
On Monday we will go over quiz and the graph theory problems 7,8,9,10 from the notes on 2/14 below.
Please let me know ASAP if you are interested in doing your project on wikipedia.
Wednesday, 2/19/2020
Today we worked out some exercises before doing Quiz I.
QUIZ II PROBLEMS
QUIZ II SOLUTIONS
QUIZ ON WEDNESDAY, 2/19. READ NOTES BELOW:
Friday, 2/14/2020
Please read the Updated Notes on Decimal Number Bases and Complete Graphs
Please read notes (RELOAD PAGE FOR LATEST VERSION) and try practice problems 1,2,3,4,5,6 to prepare for next wednesday's quiz.
I have posted solutions for probems 5 and 6. Rest were discussed in class.
Also try practice problems 7,8,9,10 just to get practice in proving things.They are all quite easy.
Wednesday, 2/12/2020
Please read the Notes on Decimal Number Bases and Complete Graphs
Please read notes and try practice problems in last page to prepare for next wednesday's quiz.
Tuesday, 2/3/2020
Please read the Notes on strong induction and Proof of Eulerian Theorem
A Project Presentation on Eulerian Graphs, With Pictures and Examples.
Monday, 2/10/2020
Please read the Notes on Decimal Number Bases and Complete Graphs
Please read notes and try practice problems in last page to prepare for wednesday's quiz.
Tuesday, 2/3/2020
Please read the Notes on strong induction and Proof of Eulerian Theorem
A Project Presentation on Eulerian Graphs, With Pictures and Examples.
Wednesday, 1/27/2020
Today we worked out some exercises before doing Quiz I.
Please read the Updated Notes on strong induction from today (Refresh browser)
I have included solutions to all the exercises.
QUIZ I PROBLEMS
QUIZ I SOLUTIONS
Monday, 1/27/2020
Today we reviewed strong induction and worked out some exercises.
Please read the Updated Notes on strong induction from today (Refresh browser)
and try the exercises 3 to 6.
Wednesday, 1/22/2020
Today we reviewed basic induction and started with strong induction.
Please read the Updated notes on induction from today (REFRESH BROWSER).
Also please read the Notes on strong induction from today
and try the problems on the last page.
Friday, 1/17,2020
Room change: From now on we will meet in Annex 3, 210 (Graduate school bldg).
Enter from 4th and College, go to the right and then go up.
Wednesday, 1/13/2020
Today we discussed Eulerian graph and Hamiltonian cycles, and necessary and sufficient conditions for a graph to be Eulerian or Hamiltonian.
Please read the Updated notes from today (REFRESH BROWSER) and try the problems on pages 12 and 14.
Monday, 1/13/2020
Today we discussed the Knight's tour problem, Koenigsburg bridge problem, Eulerian graph and Hamiltonian cycles.
Note that Hamiltonian cycles visit each vertex once while Eulerian cycles visit each edge once. Eulerian cycles can pass vertices more than once.
We also reviewed the different kinds of proofs and the Binomial formula.
Please read the notes from today and try the problems on pages 10, 12 and 14.
Also try to come up with a graph which has no Eulerian paths.
(So it must have 1 odd vertex or 3 or more odd vertices).
Friday, 1/10/2020
On Monday we will start with a review of induction and quickly move on to strong induction.
We will use the binomial formula as a source for examples.
Please review these notes from Spring 2019 before coming to class.