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TRENT UNIVERSITY
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MATHEMATICS 155H
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2001-2002
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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% |
I**nstructor**
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. |
*LINKS:*
**TRENT
MATH**
**TRENTUNIVERSITY**
E.A. Maxwell
2001-09-06 |