Download Faculty of Arts and Sciences - EMU

EASTERN MEDITERRANEAN UNIVERSITY
FACULTY OF ARTS AND SCIENCES
DEPARTMENT OF MATHEMATICS
2010-2011 SPRING SEMESTER
COURSE CODE
MATH211
COURSE TITLE
Introduction to Statistics
COURSE TYPE
University Core (UC) - Mathematics
LECTURER(S)
Yücel Tandoğdu (Office AS356, Extension: 1004)
ASSISTANT
To be announced
EMU CREDITS
(3,1,0) 3, ECTS CREDITS
PREREQUISITES
MATH112
COREQUISITES
None
WEB LINK
http://brahms.emu.edu.tr/tandogdu
TEXTBOOK
Statistics. Schaum’s Outline Series. M. R. Spiegel, L. J. Stephens. 3rd Edition. isbn:
007060281-6, McGraw Hill, 1999.
OTHER REFERENCES
Miller and Freund’s Probability and Statistics for Engineers, R. A. Johnson. 7 th Edition,
Isbn: 0131278401. Prentice Hall 2005.
TIME TABLE
Grp. 1: WEDNESDAY 10.30 –12.20, CL102. FRIDAY 8.30 – 09.20, CL104.
Tutorial: Friday 9.30 – 10.20, CL104
Y. Tandoğdu: THURSDAY 14.30 – 15.20.
OFFICE HOUR
6
AIMS & OBJECTIVES
Basic ideas about statistics will be introduced. Initially essential concepts of probability, conditional probability and
independence, some important discrete and continuous probability distributions will be explained. Statistics part will
include graphical and theoretical methods of processing data for the estimation of population parameters, some basics
about regression analysis and hypothesis testing.
CATALOGUE DESCRIPTION
Variables and Graphs; Statistic, population and sample, inductive and descriptive statistics. Variables; Discrete and
continuous. Frequency Distributions; General rules of forming frequency distributions. Histograms and frequency
polygons. Measures of central tendency; the arithmetic mean, the median and the mode. Harmonic and geometric
mean, root mean square, quartiles deciles and percentiles. Measures of dispersion; the range, the mean deviation, the
semi-interquartile range, the 10-90 percentile range, the standard deviation, the variance. Elementary probability theory;
conditional probability, probability distributions, expectation, relation between population, sample, mean and variance.
Some discrete probability distributions; binomial and normal distributions, Poisson distribution, multinomial distribution.
Elementary sampling theory. Curve fitting and method of least squares
GRADING CRITERIA
Quizzes (best 2 out of 3) - %20, MT - %30, Final - %40, home work, class participation: 10%.
METHOD OF ASSESSMENT
85–100 (A); 80–84 (A-); 75–79 (B+); 70–74 (B); 66–69 (B-); 63–65 (C+); 60–62 (C); 57–59 (C-); 54–56 (D+); 50–53 (D);
45–49 (D- /FAIL); 0-44 (F/FAIL). These intervals are subject to change based on the overall achievement in the course.
TEACHING METHOD
Lectures, tutorials and assignments
RELATION TO OTHER COURSES
The course is essential for the students to successfully follow topics in the junior and senior classes that require some
background in probability and statistics.
GENERAL LEARNING OUTCOMES
On successful completion of this course, all students will have developed knowledge and understanding of:
 Basic probability concepts,
 Conditional probability and independence of events
 Some important discrete and continuous probability distributions.
 Sample and population concepts, raw data, graphing data and drawing conclusions from processed data
 Some introductory concepts of estimation of population parameters using sample statistics
On successful completion of this course, all students will have developed their skills in:
 Probability related matters and their practical use,
 Essential statistical knowledge towards statistical decision making.
On successful completion of this course, all students will have developed their appreciation of and respect for values
and attitudes regarding the issues of:
 Probability’s role in life,
 Decision making based on statistical knowledge,
 Application areas of probability and statistics in their professions.
COURSE OUTLINE
WEEK TOPICS
1
Review of some mathematical concepts needed in probability and statistics.
2
Some combinatorial concepts, sample space, events, independence
Probability distribution, expectation, mean and variance. Quiz. 1
3
4
Some important probability distributions (Binomial, Hypergeometric,
Poisson, Normal, Normal approximation to the binomial).
5
Relationship between some theoretical distributions.
Data, data collection and validation. Quiz.2
6
7
Grouping and picturing data.
MIDTERM WEEK. (26 March - 06 April 2011)
8
9
Statistical measures of central tendency
10
Computation of central tendency measures from raw and grouped data
Measure of variation, range, variance, standard deviation. Quiz.3
11
12
Curve fitting, method of least squares
13
Linear regression, explained and unexplained variation.
14
Estimation using linear regression
FINAL EXAMINATIONS (23 May - 07 June 2011)
15
ACADEMIC HONESTY
Copying from others or providing answers or information (written or oral) to others is cheating. According to University’s
bylaws cheating and plagiarism are serious offences resulting in a failure from exam or project and disciplinary action
(which includes an official warning or/and suspension from the university for up to one semester).
IMPORTANT NOTES
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Attendance is compulsory. Students with more than 50% absence and fails to score at least a letter grade D will
be given NG grade.
Students missing an examination should provide a valid excuse within 3 days following the examination they
missed. One make-up examination will be given at the end of the semester after the final examination period.
No make-up will be given for missed quizzes.
Use of Mobile telephones in the class or during lectures or examinations is prohibited.