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TRENT UNIVERSITY

MATHEMATICS 355

2001-2002

COURSE  TOPICS

Mathematics 355 provides an introduction to statistical analysis including data summarization, exploratory data analysis and statistical inference.  The course also includes applications of MINITAB computing software. Topic areas covered are.
 
Data sets- populations and samples
Exploring/describing data sets
Exploring/describing data relationships
Sampling and sampling distributions
Estimating means, variances and proportions
Point estimation - unbiased estimators - likelihood methods
Sample size selection for estimating means and proportions
Interval estimation for means variances and proportions
Hypothesis testing for means variances and proportions
Goodness of fit
Comparing two population means
Comparing two population variances
Comparing two population proportions
Contingency tables
Normal linear regression & correlation models
Multiple regression
Analysis of variance
Nonparametric procedures

TEXT 

Applied Statistics and Probability for Engineers
  Second Edition
  by Montgomery and Runger
  Wiley, 1999

STUDENT BACKGROUND/RESOURCES

Probability: This course is intended for students who have completed an introductory course in probability.  The probability prerequisite is Mathematics 155H or equivalent.

Mathematics: This course is intended for students who have completed an introductory course in calculus and have had an introduction to matrix algebra.  The mathematics prerequisite is Mathematics 110 or Mathematics 105H or equivalent.  Mathematics 135H is highly recommended.

Computing: Previous specific computing experience is not required for those parts of the course involving computer-based analyses; however, familiarity with the Trent University computing facilities will be assumed. The applications of MINITAB will be introduced in the courses as necessary.

Calculators: Due to the considerable amount of numerical work involved in this course, students should possess a calculator with built-in statistical function keys.

COURSE STRUCTURE 

Lectures: There will be three lecture hours per week as indicated in the University Academic Timetable.  Lecture hours will be used for the presentation of course material and for questions related to the course material.  Lecture hours will be used for tests as well, as indicated below in the test schedule.  Students are responsible for all material covered in lectures and for all announcements made in lecture hours.  Students who miss classes must ensure that they determine what material was covered and what announcements were made in classes that they miss.

Seminars: There will be problems seminars as scheduled in the University Academic Timetable. Seminars will not take place every week, but will be scheduled to coordinate with problem sets.

MARKING SCHEME 
 
Problem Sets: There will be eight problem sets through the year, four per term.  Each problem set will contribute 5% of the final mark. 
8 @ 5%
40%
Quizzes: There will be two in-class mid-term tests, one per term.  Each test will contribute 10% of the final mark.
2 @ 10%
20%
Final Examination: There will be a final examination.  The final examination will contribute 40% of the final mark*.
1 @ 40%
40%
______
100%

* There will be a class decision to determine whether the final examiniation will be a take-home examination or a regular three-hour sit-down examination.  If it is the latter, 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, provided that s/he has a complete term mark.  A student must submit solutions for all problem sets and write both tests to have a complete term mark!

TEST SCHEDULE
 
Test 1......... Friday, November 16
Test II........ Friday, March 1

PROBLEM SET DUE DATES

Problem set solutions may be submitted in class or may be submitted by 4:00 pm to the instructorÝs office.  Late submissions should be approved, in advance, by the instructor.  Tentative due dates are:
 
Problem Set 1..... Monday,  October 15 Problem Set 5..... Monday, January 21
Problem Set 2..... Monday, October 29 Problem Set 6..... Monday, February 11
Problem Set 3..... Monday, November 12 Problem Set 7..... Monday, March 4
Problem Set 4..... Monday, December 3 Problem Set 8..... Monday, March 25

 
Instructor Office Hours    Secretary
E.A. Maxwell
CC F30
748-1011x1417
eamaxwell@trentu.ca
Vary  from week to week but are posted each week on the instructor's office door.    Carolyn Johns
   LEC N126
   748-1531
   cjohns@trentu.ca

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.  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 UniversityÝs Policy on Plagiarism which is available on request from every department or college office or from the RegistrarÝs office.

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  E.A. Maxwell
  2001-08-07