Download Math 333 - Department of Mathematical Sciences

MATH 333: Probability and Statistics
Spring 2016 Course Syllabus
NJIT Academic Integrity Code: All Students should be aware that the Department of Mathematical Sciences
takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that
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 University Code on Academic Integrity, students are
obligated to report any such activities to the Instructor.
COURSE INFORMATION
Course Description: Descriptive statistics and statistical inference. Topics include discrete and continuous
distributions of random variables, statistical inference for the mean and variance of populations, and graphical
analysis of data. Effective From: Fall 2012.
Number of Credits: 3
Prerequisites: Math 112 with a grade of C or better or Math 133 with a grade of C or better.
Course-Section and Instructors
Course-Section
Instructor
Math 333-002
Professor P. Natarajan
Math 333-004
Professor P. Natarajan
Math 333-006
Professor G. Mytalas
Math 333-102
Professor J. Porus
Math 333-104
Professor G. Kariuki
Required Textbook:
Title
Applied Statistics and Probability for Engineers
Author
Montgomery and Runger
Edition
6th
Publisher
John Wiley & Sons
ISBN #
978-1118963548 (Custom Ed. Bundled w/ WP)
978-1118470688 (Standalone WP Registration Card)
University-wide Withdrawal Date: Please note that the last day to withdraw with a W is March 28, 2016. It
will be strictly enforced.
COURSE GOALS
Course Objective: The objective of this course is to acquaint students with probability, descriptive statistics
and statistical inference and demonstrate real world applications using examples drawn from various fields.
Course Outcomes
Demonstrate understanding of various statistical terms and methods for summarizing, organizing, and
presenting data.
Compute measures of central tendency, position, and variability and interpret them.
Describe sample space and events and demonstrate their knowledge of various counting techniques, notions of
probability, random variables and various discrete and continuous probability distributions.
Demonstrate conceptual understanding of sampling distributions and the central limit theorem.
Perform statistical analysis, such as estimation, hypothesis testing, regression, and draw conclusions.
Course Assessment: The assessment tools used will include weekly homework assignments/quizzes, two
common midterm exams and a common final exam.
POLICIES
DMS Course Policies: All DMS students must familiarize themselves with, and adhere to, the Department of
Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies
very seriously and enforces them strictly.
Grading Policy: The final grade in this course will be determined as follows:
Homework and Quizzes
15%
Common Midterm Exam I
25%
Common Midterm Exam II
25%
Final Exam
35%
Your final letter grade will be based on the following tentative curve.
A
90 - 100
C
65 - 74
B+
85 - 89
D
55 - 64
B
80 - 84
F
0 - 54
C+
75 - 79
Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read
and fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced.
Homework/ Quiz Policy: Weekly Homework will be assigned on WileyPlus. Additionally, Quizzes would be
given in class.
Old Exams: http://math.njit.edu/students/undergraduate/course_exams.php
Exams: There will be two common midterm exams held during the semester and one comprehensive common
final exam. Exams are held on the following days:
Common Midterm Exam I
March 2, 2016
Common Midterm Exam II
April 6, 2016
Final Exam Period
May 6 - 12, 2016
The time of the midterm exams is 4:15-5:40 PM for daytime students and 5:45-7:10 PM for evening students.
The final exam will test your knowledge of all the course material taught in the entire course. Make sure you
read and fully understand the Math Department's Examination Policy. This policy will be strictly enforced.
Makeup Exam Policy: To properly report their absence during a midterm or final exam, please review the
required steps under the DMS Examination Policy found here:
http://math.njit.edu/students/policies_exam.php
Extra
Cellular Phones: All cellular phones and other electronic devices must be switched off during all class times.
ADDITIONAL RESOURCES
Math Tutoring Center: Located in Cullimore, Room 214 (See: Spring 2016 Hours)
Accommodation of Disabilities: NJIT is committed to providing students with documented disabilities equal
access to programs and activities. If you have, or believe that you may have, a physical, medical,
psychological, or learning disability that may require accommodations, please contact the Coordinator of
Student Disability Services located in the Center for Counseling and Psychological Services, in Campbell Hall,
Room 205, (973) 596-3414. Further information on disability services related to the self-identification,
documentation and accommodation processes can be found on the webpage at:
http://www.njit.edu/counseling/services/disabilities.php
Important Dates (See: Spring 2016 Academic Calendar, Registrar)
Date
Day
Event
January 19, 2016
T
First Day of Classes
January 25, 2016
M
Last Day to Add/Drop Classes
March 13 - 20, 2016
Su - Su
Spring Recess - No Classes, University Open
March 25, 2016
F
Good Friday - No Classes, University Closed
May 3, 2016
T
Friday Classes Meet/ Last Day of Classes
May 4 & 5, 2016
W&R
Reading Days
May 6 - 12, 2016
F-R
Final Exam Period
Course Outline
Week +
Dates
Section
Topic
WEEK 1
1/19 (T)
6.1-6.4
Descriptive Statistics: Stem-and-Leaf, Histograms, Mean, Median
6.16.4
Variance and Standard Deviation, Boxplot
WEEK 2
1/26 (T)
2.12.4
Probability: Sample Space, Events, Interpretations of Probability, Addition Rules and
Conditional Probability
2.5-
Multiplication and Total Probability Rules, Independence
2.6
WEEK 3
2/2 (T)
2.7
Bayes' Theorem
3.13.3
Discrete Random Variables: Probability Mass Function, Cumulative Distribution Function
WEEK 4
2/9 (T)
3.43.5
Mean and Variance of a Discrete Random Variable, Discrete Uniform Distribution
3.6
Binomial Distribution
3.7,
3.9
Geometric Distribution, Poisson Distribution
4.14.3
Continuous Random Variables: pdf and cdf
4.44.5
Mean and Variance of a Continuous Random Variable, Continuous Uniform Distribution
WEEK 5
2/16 (T)
WEEK 6
2/23 (T)
REVIEW FOR EXAM #1
WEEK 7
3/1 (T)
WEEK 8
3/8 (T)
MIDTERM EXAM I: WEDNESDAY ~ MARCH 2, 2016
4.8
Exponential Distribution 4.6
Normal distribution
4.7
Normal approximation
3/13(S) TO 3/20(S) SPRING RECESS (NO CLASSES) (MARCH 13 TO MARCH 20, 2016)
: WEEK 9
3/22 (T)
7.17.2
Point Estimation, Sampling Distributions and the Central Limit Theorem
8.1
Confidence Interval on the Mean of a Normal Distribution, Variance Known
(WITHDRAWAL DEADLINE Monday, MArch 28, 2016) WEEK 10
3/29 (T)
WEEK 11
4/5 (T)
8.2
Confidence Interval on the Mean of a Normal Distribution, Variance Unknown
REVIEW FOR EXAM #2
MIDTERM EXAM II: WEDNESDAY ~ APRIL 6, 2016
8.3 8.4
Confidence Intervals on the Variance and Standard Deviation of a Normal Distribution, Large
Sample Confidence Interval for a Population Proportion
9.19.2
Hypothesis Testing Basics; Tests on the Mean of a Normal Distribution, P-values
9.19.2
Type I and II error
WEEK 13
4/19 (T)
9.3,
9.5
Small Sample Tests on the Mean, Test on a Population Proportion
WEEK 14
4/26 (T)
10.4,
10.1
Paired t-test, Tests on the Difference in the Means of Two Normal Distributions
11.2
Simple Linear Regression, REVIEW FOR FINAL EXAM WEEK 12
4/12 (T)
WEEK 15
5/3 (T)
REVIEW FOR FINAL EXAM
5/4 - 5/5 (W-R)
READING DAYS
5/6 5/12
FINAL EXAM WEEK Updated by Professor P. Natarajan - 12/24/2015
Department of Mathematical Sciences Course Syllabus, Spring 2016