Probability Theory and Applications

 MATP 4600/DSES 4750


Syllabus

Instructor: Dr. Peter R. Kramer 

  • Office: 310 Amos Eaton Hall 

  • Telephone:  (518) 276-6896 

  • Email: kramep@rpi.edu 

  • Class Meetings:  Mondays and Thursdays, 2:00-3:50PM in Amos Eaton 215

  • Office Hours:  Wednesdays 2-3 PM and Fridays 4-5 PM

Resources

Course Objectives

Exams/Grading

Learning Strategy

Honesty 

Schedule


Resources

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Course Objectives

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Exams/Grading

Your course grade will be weighted as follows:

Your course grade can be enhanced by active and substantive contribution to discussions in class and on the WebCT site.   You can be awarded as much as 5 percentage points on your final grade for exceptionally insightful and thoughtful input and questions

Late homework will be penalized 10 points (out of 100) per working day.  Once I post solutions to the homework (which could be as soon as the class after the assignment was due), no more homeworks will be accepted for credit.  If you have need for an extension on your homework, you should ask me in advance of the due date.  Homework is due at 2 PM on the due date specified on the calendar; submissions later in the class or day will be penalized 5 points.

Takehome components of exams are due at 2 PM on the due date specified on the calendar.  I will accept submissions until 4 PM with a 10 point penalty, but nothing later than that without an excellent excuse.

The grading scale for undergraduates is:

Graduate students are graded in the same way for scores of 70% and above, but they will receive a grade of F for scores between 0-69%.

If you miss an exam, you will only be permitted to make up the exam if you obtain an explanatory note from the Dean of Students indicating that you had a valid excuse (such as serious illness).  In any event, you must contact me within 24 hours of a missed exam with at least a preliminary explanation if you wish to make it up.  Unexcused absences (including "forgetting" about the exam) will result in a 0 score for that exam.

Your grade is based solely on performance, not effort.   There is no official "mercy" clause for a bad exam.  However, I do sometimes adjust the final grade in your favor if your work demonstrates a strong upward trend or a generally consistent performance at a certain grade level with the exception of a rare disaster.  Such grade adjustments are given purely at my discretion, and are not motivated by external matters such as your need to maintain a certain GPA for financial aid, domestic tranquility, etc.  I view grades simply as a means of reporting, as accurately as possible, the demonstrated level of your mastery with the material.

You may only appeal scores on exams based on factual criteria (a correct answer was marked wrong, or scores were added incorrectly).  Any such legitimate appeals will only be accepted within one week of the date on which the graded exam was returned to the class.  I will not entertain quibbles about how many points of partial credit you think you should have been given on some problem.  Students making frivolous appeals will be given one warning, after which further nuisance appeals will be penalized by as many points as the student was frivolously arguing. 
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Learning Strategy
I will direct the class according to the following learning strategy:
  • Students preview the sections of their textbook pertaining to the material to be covered in class before the class.  It is not necessary to have a thorough understanding of the section after a first reading, but knowing the basic facts and content should help in following the class discussion.  In particular, I do not plan on spending much time in class on simply stating facts and definitions which students can more easily read in a nicely typeset textbook (as opposed to my childlike scrawls).  Rather, I will assume students have at least looked over the section enough to have encountered new definitions and classifications, so that I can spend the class time explaining more about the "how" and "why" of the material rather than the "what."
  • Students attend class as much as possible, and obtain class notes from a friend when they are unable to attend.  The material covered in class is intended to supplement, and not simply restate, the material in the textbook.   Moreover, the class discussion will emphasize those aspects of the material which I find most important (and are therefore most likely to appear on the exams).
  • Students work either alone or with a small group of colleagues to solve the homework problems. A pair of students may submit a single set of homework solutions with both students receiving the same grade for that assignment. While collaboration is encouraged to stimulate learning and understanding, each student is responsible for understanding any solution submitted under his or her name. If the assigned homework problems are too difficult, students should work out some of the simpler problems from the related sections of their textbooks until they have gained enough confidence and skill to tackle the assigned problems. Students may in particular want to work on those problems for which answers appear in the back of the book so they can check their work and understanding.   If students do not feel sufficiently confident with the material through self-study or consultation with colleagues, they should seek further assistance from the professor during his office hours.
  • Students review for exams by checking that they are familiar with the material from the classes and textbook sections to be covered, can still do the homework problems from the relevant sections, and by taking one or more practice exams until they are satisfied with their performance. 
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Honesty
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Schedule

Dates
Topics


August 28
Conceptual Foundations of Probability
August 31--September 11
Counting and Combinatorial Techniques

No class on September 4

September 14
Conditional Probability, Independent Events, and Bayes' Rule
September 18--21
Discrete Random Variable Theory
September 25--28
Binomial Distribution Model and Generating Functions
October 2 
Other Discrete Probability Model Examples
October 5
Exam 1 in class
October 10--19
Continuous Random Variable Theory
Monday, October 9 class moved to Tuesday, October 10
October 23-26
Continuous Probability Model Examples
October 30--November 2
Joint Probability Distributions
November 6--16
Characterizations of Relations between Random Variables
Exam 2, Monday, November 13 in class
November 20--30
Functional Relationships between Random Variables
No class November 23
December 4--7
Probability Limit Theorems
December 14 Final exam, 6:30-9:30 PM


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Date Last Revised: 09/06/06