All Students should be aware that the
Department of Mathematical Sciences takes the NJIT Honor code very seriously and enforces
it strictly. This means there must not be any forms of plagiarism, i.e., copying of
homework, class projects, or lab assignments, or any form of cheating in quizzes and
exams. Under the Honor Code, students are obligated to report any such activities to
the Instructor.
Spring 2004
Monday, Thursday: KUPF 104, 1:00 PM 2:25 PM
v
Instructor: Sunil
Dhar
v Office: 327 Cullimore Hall
v
Phone: 973-596-3488
v
Email: dhar@njit.edu
v
Office Hours: Tuesday and Wednesday, 5:00 PM to 6:00 PM
Thursday 10:15 AM to 11:15 AM
Textbook: Jay L.
Devore, Probability and Statistics for Engineering and the Sciences, 6th Edition, Duxbury,
Boston, 2002 (Custom Edition)
Software: StataQuest for
Windows, Wadsworth, Belmont, CA, 1996; Microsoft Excel with Data Analysis Add-in; Webstat
(Web-based JAVA applets for statistical computing) http://www.statcrunch.com/
Grading Policy:
v
Common
Homework and Quizzes:
20%
v
Two
Common Exams 25% each=:
50%
v
Common
Final Exam:
30%
Class |
Topics |
Sections |
|||
1/20 |
Descriptive statistics: stem-and-leaf, histograms, |
1.1 - 1.4 |
|||
1/27 |
Probability: sample space, events, properties of probability |
2.1 - 2.2 |
|||
2/3 |
Counting: basic, permutations and combinations, Conditional
probability |
2.3 - 2.4 |
|||
2/10 |
Bayes' theorem, independence |
2.4 - 2.5 |
|||
2/17 |
Discrete random variables: pmf, probability histogram and cdf,
mean and variance, Binomial distribution |
3.1 - 3.3, |
|||
|
1st
Common Exam: Wednesday, February 25, 2004 |
|
|||
2/24 |
Poisson random variables, its approximation to binomial;
Continuous random variables: pdf and cdf, percentiles, expected values and variance,
standard deviation |
3.6, |
|||
3/2 |
Normal distribution; probability plots |
4.3, 4.6 |
|||
3/9 |
Exponential distribution, "memoryless" property |
4.4 |
|||
|
March
15 to March 21, 2004, Spring break |
|
|||
3/23 |
Distribution of the sample mean and total, the central limit
theorem, normality of linear combination and its probability |
5.3 - 5.5 |
|||
|
Monday, March 29, 2004, Last Day to Withdraw from Course(s) |
|
|
|
|
|
2nd Common Exam: Wednesday, March 31, 2004 |
|
|
|
|
3/30 |
Large sample confidence interval estimation for mean and
proportion using equation (7.11) only sample size also based on (7.11) |
7.1 - 7.2 |
|
|
|
4/6 |
Interval estimation for normal population means (small sample),
variance and standard deviation; NO tolerance interval; NO prediction interval |
7.3, 7.4 |
|
|
|
4/13 |
Tests of hypothesis: Type I and II error |
8.1 |
|
|
|
4/20 |
Tests for the mean and proportion (large sample); small sample
tests for the mean |
8.2 - 8.3 |
|
|
|
4/27 |
p-values; two-sample confidence intervals and tests for the
means (equal and unequal variances) and proportions. |
8.4, |
|
|
|
Computing Information:
Some
homework requires that students demonstrate the skill to use statistical software. Among the software available to the students are
STATAQUEST which is bundled with your text book. It
may be available on PCs in computing center below the parking deck and the Learning Center
computing laboratory (University 201). All
the homework exercises that require the use of a statistical software can be answered
using STATAQUEST. If you do not wish to use STATAQUEST, you can use the Data Analysis
tools of Microsoft Excel, which is an Add-in in Excel.
This tool in Excel is available on all PC labs on campus. You could also use the Web-based statistical
software WEBSTAT (http://www.statcrunch.com/
). The data for the textbook
problems are in the ASCII directory in the CD that comes with your book. You will have to get these data files into
STATAQUEST with the commands File and then Import ASCII. Data sets can be hand typed
directly in to the StataQuest Editor in case the Import ASCII command does not work.
Graphs
in StataQuest are printed using Print Graph command from the File menu. Graphs can also be
cut and pasted into Microsoft Word. In order to print a stem-and-leaf or text from the
"Stata Results" window, (i) copy and paste output on to an editor such as Note
pad, Word, etc. and then print from the word processor; or (ii) create a LOG FILE by using
the "Log" button and a file name for the log and the printing the file file.log
using the command PrintLog from the File menu. Graphs
created in Excel can be printed directly. WebStat
has an online help for saving and printing the output.
Weekly
homework problems from your textbook
will be assigned. Some of these assignments may require the use of statistical
software for their solution. You must work out not only these problems but also
practice similar problems and learn the techniques needed to solve them. The assigned
problems will be posted on the web at the address to be announced and also written on the
board in class.
Every week you will have either a quiz (5-10 minutes) or you will be handing in your
homework. The quiz will test your knowledge on the material covered in class and the
corresponding assigned homework. Your ten best Homework/Quiz scores will be selected (20%
of your final grade).
There are two common exams for all
Math 333 sections and will represent 50% of the final grade. These exams are scheduled for
Wednesdays, February 25 and March 31, from 4:15-5:40 (day students must hand in their
exams and wait in class for the last ten minutes) (5:45-7:10 for night sections). The
final exam is also common with other Math 333 sections and it represents 30% of your
grade. You will be given a formula sheet to use during the tests and exams.
Class Rules, Department and University Policies:
Please
note that all the rules noted below is for the proper running of our course. Please
cooperate with instructors to help implement these rules.
Please
see University's Undergraduate attendance policy: Attendance
is mandatory for Freshmen and Sophomores.
v
Please
see Mathematical Science Exam policy
v
Only
simple calculators are allowed, which cannot store formulas or notes, e.g. graphic
calculators are not allowed.
Free Tutor Assistance
Available:
The Math Learning Center-Kupfrian 100-current schedule: The
following statistics graduate students can help you with Math 333 problems.
DAY |
10 am1:30 am |
11:30 am1 :00 pm |
1:00 pm2:30 pm |
2:30 pm4 pm |
Monday |
|
Lahiri |
Lahiri |
Tin |
Tuesday |
Tin |
Tin |
Lahiri |
Lahiri |
Wednesday |
|
Lahiri |
|
|
Thursday |
Tin |
Tin |
|
|
Class
Policies:
Attendance and
Participation: Students must attend all classes.
Absences from class will inhibit your ability to fully participate in class discussions
and problem solving sessions and, therefore, affect your grade. Tardiness to class is very
disruptive to the instructor and students and will not be tolerated.
Makeup Exam Policy:
There will be no makeup exams,
except in rare situations where the student has a legitimate reason for missing an exam,
including illness, death in the family, accident, requirement to appear in court, etc. The
student must notify the Math office and the Instructor that he/she will miss an exam. In
all cases, the student must present proof for missing the exam, e.g., a doctor's note,
police report, court notice, etc., clearly stating the date AND times.
Cellular Phones: All cellular phones and beepers must be
switched off during all class times.