Statistics
and Probability Math 370 

Eastern
Michigan University
Math 370: Probability and Statistics I
Winter 2011
Student Syllabus
Instructor: Dr. Ovidiu Calin
Office #: Hoyt 423
email: ocalin@emich.edu ________________________
Class Hours: Tuesday, Thursday 5:30 am – 7:10
am, Alexander bldg., room 216
________________________
Office Hours: Tuesday, Thursday: after the class
I. Course description
MATH 370 is a required course for math major, math major with concentration
in statistics and actuarial science and economics major. It is one of
the required courses for math minor, math minor with concentration in
statistics, and math minor for secondary teaching.
It contains basic
concepts of probability, expectation, variance, covariance distribution
functions and their application to statistical tests of hypothesis,
bivariate, marginal and conditional distributions, treatment of experimental
data. Applications to problems in science and/or social science are
emphasized.
The usual course content is as follows:
1. Probability Topics include an overview of probability and inference,
set notations, laws of probability, conditional probability and independence
of events.
2. Discrete Probability Distributions Topics include probability distributions
of various discrete random variables (uniform, binomial, geometric,
hypergeometric, and Poisson distributions), moments and moments generating
functions.
3.Continuous Probability Distributions Topics in this unit cover probability
distributions and expected values for continuous random variables (uniform,
normal, gamma, exponential, and chisquared distributions).
4. Multivariate Probability Distributions Key concepts include bivariate
and multivariate probability distributions, marginal and conditional
probability distributions, covariance of two random variables.
5.Sampling Distributions Key concepts in this unit include sampling
distribution of sample mean, the Central Limit Theorem.
6.Estimation Problems Topics include some common unbiased estimators,
bias and mean square error of point estimators, confidence intervals
for population parameters, selecting the sample size.
7.Methods of Estimation Key topics include the methods of moments, the
method of maximum likelihood.
8.Hypotheses Testing Topics include oneand twosample tests of hypotheses
concerning means, proportions and variances.
II. Prerequisites
Math 223 Multivariable Calculus I
III. Course
Objectives
The main objective of this course is to give students a solid
foundation in statistical theory and apply those theories in solving
practical problems in the real world. At the end of the course, students
will have a clear understanding of the important role played by statisticians
in scientific investigations. IV. Standards
Student evaluation
will be based on the following performance criteria:
1. Correct use of
concepts, laws, formulas and principles.
2. Appropriate use of language, terminology and nomenclature.
3. Accuracy of language, calculations and simplifications.
4. Adequate interpretation of solutions to problems.
5. Presentation of tests and assignments.
V.Textbook
Mathematical Statistics with Applications, 7th edition, by
Wackerly, Mendenhall and Scheaffer. ISBN: 9780495110811.
VI. Technology
Students will be using computer software SAS, R or Excel for
computational purposes.
VII. Follow
up courses:
After completion of MATH 370, students would pursue:
MATH 460/576 Applied Survey Sampling
MATH 461/575 Linear Regression Analysis
MATH 462/572 Design and Analysis of Experiments
MATH 451 Probability and Statistics II
MATH 571 Mathematical Statistics I: Probability Theory
MATH 573 Statistical Data Analysis
MATH 474/574 Applied Statistics
MATH 577 Applied Multivariate Statistics
MATH 578 Nonparametric Statistics.
VIII. Evaluation
There are two midterm exams and a final exam. There are weekly
quizzes from the material presented during that week. Midterms: February
1 and March 8.
Final : April (to be announced)
Quizzes: every Tuesday and Thursday.
Quizzes have attendance value, so they can’t be made up later!
All exams are hold
during the regular class sections.
There is no make
up for the exams unless you have a verifiable excuse (for instance,
being sick will require written proof from the doctor).
There is homework
provided weekly in class as practice problems. Students are free to
discuss the homework problems, get help in the Math Help Center, ask
questions in class and attend office hours. I will solve at the beginning
of each class the most challenging problems assigned in the homework.
Failing to do the weekly homework will have a negative impact on the
quizzes and exams performance. However, there is no extra credit for
doing the homework.
Attendance will
be taken regularly on a daily basis. Students are encouraged to attend
every single class. In the case of missing a class, it is the student
responsibility to ask for the homework and take the notes from a friend.
The final grade
in this course is computed using the following weights: Midterm I 20
%
Midterm II 20%
Final 20 %
Quizzes 40 %
The cutoffs for the final grade in this course will be calculated as
follows:
A 95 %
A 90 %
B+ 85 %
B 80 %
B 75 %
C+ 70 %
C 65 %
D 60 %
E <60 %
IX. Attendance
Even if class attendance is not required, only few students are able
to understand the material by themselves, just reading the material.
So absences will most probably affect your grade in a negative manner.
It is your best interest to show up.
X .Webpage:
XI.Instructor
Information
I am a fulltime faculty member at Eastern Michigan University in the
Department of Mathematics and you are my primary responsibility. I am
happy to meet with you an any issue regarding class activity and to
provide help when you do not understand something we have covered. You
may see me in my office before the class. Also, my email address is
ocalin@emich.edu. More information about my teaching and research interests
can be found at my webpage http://math.acad.emich.edu/~ocalin/
XII. Classroom Etiquette
Please silence your cellular phones before class and, under no circumstances
may you use a phone for any purposes during class, including text messaging.
If you need to make an emergency call, please do it after leaving the
class quietly.
XIII. Disabilities
Any students needed to arrange a reasonable accommodation for a documented
disability should contact Access Service Office in 203 King Hall, 4872470.
XIV. Miscellaneous
1.In the event that you must miss an exam or a quiz due date
for a VALID (emergency) AND verifiable (PRESENT PROOF) I must be notified
preferably in advance by a phone call or an email message.
2.Examples of unverifiable (or inadequate) reasons: oversleeping, going
on a pleasure trip, or just not feeling like coming to class.
3.Weatherrelated problems that I can verify through the news media
are always valid. Do not risk your life to come to class! If school
is in session I will most likely be here, because I don't live far away.
If you commute and do not feel it is safe to travel, do not come. Give
me a call and you will not be penalized for missing the class.
4.Class attendance is essential. If you must miss a class, it is your
responsibility to get any handouts from the professor, notes from a
classmate, and complete the assignments. Also, the professor is available
during the office hours. Tutorial assistance is available free of charge
in the Math Student Help Center (220 PrayHarrold). Assistance is also
available through The Learning center on campus (Bruce T. Halle Library).
5.If you cannot attend the official office hours, I also offer office
hours by appointment.
6.Every student will be assigned a number in the first day of class,
called lucky number. Please write this number together with your name
on all homework assignments and tests for the rest of the semester.
7.When you prepare your homework please write eligibly. The grade is
given not only for correctness but also for the presentation and style.
8.During exams students often do mistakes and they need to erase some
parts of the solution. It is suggested to write the exam in a black
pencil and have an eraser on hand.
