### TRENT UNIVERSITY

#### COURSE  TOPICS

Mathematic 155H is an introduction to probability for students with a background in calculus covering topics in probability as listed below.

TEXT

Probability: an Introduction with Statistical Applications by John J. Kinney (Wiley, 1997.)

General topic areas with relevant sections of the text are listed below.
 Basic Probability........................................... Univariate Discrete Random Variables ................. Specific Univariate Discrete Random Variables........ Univariate Continuous Random Variables.............. Specific Univariate Continuous Random Variables.... Multivariate distributions ................................. Functions of Random Variables ......................... Moments & Moment Generating Functions ............ Chapter 1 Sec. 2.1-2.3.2 Sec. 2.4,2.5,2.9,2.10,2.12-2.14 Sec. 3.1 Sec. 3.2-,3.3,3.5,3.6 Sec. 5.1-5.6 Sec 4.1-4.3,4.10-4.12 Sec. 4.8,4.9
The following topics will be covered if time permits:.
 Tchebycheffís inequality....................................... Reliability ......................... Gamma, Chi-squared and Weibull Distributions .. Recursions and Markov Chains ......................... Statistical Applications.................................... ... Sec. 2.3.3 Sec. 3.4 Sec 3.4,3.7,3.8 Chap 6  Sec. 2.6-2.8,2.11,4.14-4.17

STUDENT  BACKGROUND

Mathematics: This course is intended for students who have completed or are enrolled in an introductory course in calculus.  The mathematics prerequisite is Mathematics 105H (or Mathematics 110 as a corequisite) or equivalent.

Computing: Previous specific computing experience is not required for the course.

Calculators: Due to the amount of numerical work involved in this course, students should possess a calculator.  If time permits, there will be some discussion of statistical applications; thus, a calculator with built-in statistical function keys will be useful

LECTURES    Three hours/week:  Wed. at 10:30, Thur at 15:30, Fri. at 8:30

Lecture hours will be used for the presentation of course material and for general discussion and questions related to the course material including problem sets.  Students are responsible for all material covered in lectures and for all announcements made in lecture hours.  Students who miss classes, thus, must ensure that they determine what material was covered and what announcements were made in the missed classes.

TUTORIALS

The instructor may schedule tutorials prior to assignments as he feels are required.  Students will be divided into four groups which will meet either: 9:30 Tuesdays in CCN#M2, or 13:30 Tuesdays in OCA#208, or 14:30 Tuesdays in OCA#208, or 9:30 Wednesdays in CCN#M2.  Tentative dates for tutorials are Jan. 22 & 23, Feb. 5 & 6, Feb. 26 &27, Mar. 12 & 13 and Mar. 26 & 27.

IMPORTANT DATES

February 18 to 22 is reading week.  April 5 is the last class.

MARKING SCHEME

 Problem Sets:   (usually due on Friday at various times in the year)  Problem sets are to be handed in at the Mathematics Office, Lady Eaton College, N126.  All problem sets handed in later will be assess a late penalty of 10% per day and will not be accepted after the start of the next lecture, which would usually be on a Wednesday, 10:30. Tentative due dates for problem sets are:                 January 25, February 8, March 1, March 15 and March 28. No reason will be accepted for problem sets which are late. The lowest mark from all the problem sets will be discarded. 40% Midterm Test:   (During a regular scheduled lecture)                              Tentatively scheduled for March 7 20% Final Examination:   (three hours) . * Any student who obtains a mark on the final examination that is higher than the final mark produced by the weighting above will receive her/his examination mark as her/his final mark. 40%

 Instructor F. Pulfer fpulfer@nexicom.net LEC N126 Secretary  Carolyn Johns  LEC N126

PLAGIARISM

Discussing problems and working out solutions with other students is a natural part of the learning process; however, students ultimately must be able to do problems themselves.  Although students are encouraged to work in groups on the problem sets, students are expected to produce and to write up their own final solutions individually.  Copying from other students is plagiarism.  Students should note the following university statement on plagiarism.

 Plagiarism is an extremely serious academic offence and carries penalties varying from failure in an assignment to debarment from the University.  Definitions, procedures and penalties for dealing with plagiarism are set out in Trent Universityís Policy on Plagiarism which is available on request from every department or college office or from the Registrarís office.