Download Math333syllabus_pn_s.. - Department of Mathematical Sciences

MATH 333 Course Syllabus - SPRING 2014
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.
Number of Credits: 3
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.
Prerequisites: Math 112 with a grade of C or better or Math 133 with a grade of C or better.
Textbook: Applied Statistics and Probability for Engineers (5th Edition) by Douglas C. Montgomery and
George C. Runger; Publisher: John Wiley & Sons (Custom Edition) bundled with Wiley Plus registration
card; ISBN: 9781118780350. (ISBN for standalone Wiley Plus registration card: 9780470444276)
Course Objective: This course will acquaint students with probability, descriptive statistics and statistical
inference, and demonstrate real world applications using examples drawn from various fields.
Student Learning Outcomes: Upon successful completion of this course, the student will be able to
1) Demonstrate understanding of various statistical terms and methods for summarizing, organizing, and
presenting data
2) Compute measures of central tendency, position, and variability and interpret them.
3) 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
4) Demonstrate conceptual understanding of sampling distributions and the central limit theorem
5) Perform statistical analysis, such as estimation, hypothesis testing, regression, and draw conclusions.
Assessment:
The assessment tools used will include homework assignments/quizzes, two common mid-term exams
and a cumulative/comprehensive common final exam.
Instructor: (for specific course-related information, follow the link below)
MATH 333-002 (MR)
Padma Natarajan
MATH 333-004 (MW)
Padma Natarajan
MATH 333-102(W)
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework & Quizzes:
15%
▪ 2 Common Midterm Exams:
25% each
▪ 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
Drop Date: Please note that the University Drop Date March 31, 2014 deadline will be strictly enforced.
Homework and Quiz Policy: Homework/Quiz will be assigned on Wiley Plus and in class.
Old exams are available at:
http://math.njit.edu/students/undergraduate/course_exams.php
Attendance: Attendance at all classes will be recorded and is mandatory. Please make sure you read
and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.
Exams and Exam Policy: There will be two common midterm exams during the semester and one
cumulative/comprehensive final exam during the final exam week. Exams will be held on the following
days:
Exam 1:
February 19, 2014
Exam 2:
April 02, 2014
Final Exam Week:
May 8 - 14, 2014
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 department's Examination Policy
(http://math.njit.edu/students/policies_exam.php). This policy will be strictly enforced. Please note that
electronic devices (such as programmable calculators, CD players, etc.) are not allowed during any
exam.
Further Assistance: For further questions, students should contact their Instructor. All Instructors have
regular office hours during the week. These office hours are listed at the link above by clicking on the
Instructor’s name.
Cellular Phones: All cellular phones and beepers must be switched off during all class times and exams.
MATH DEPARTMENT CLASS POLICIES LINK
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. For DMS Course Policies, please click here.
January 20, 2014
March 16 - 23, 2014
March 31, 2014
April 18, 2014
May 6, 2014
May 7, 2014
May 8 -14, 2014
M
F
M
F
T
W
R- W
Martin Luther King, Jr. Day ~ No classes
Spring recess ~ No Classes
Last Day to withdraw from this course
Good Friday-No Classes
Classes follow a Friday Schedule
Reading Day
Final Exams
COURSE OUTLINE:
Week
Week 1
1/21 (T)
Week 2
1/28 (T)
Week 3
2/4 (T)
Week 4
2/11 (T)
Week 5
2/18 (T)
Section
6.1-6.4
6.1- 6.4
2.1- 2.4
2.5- 2.6
2.7
3.1- 3.3
3.4- 3.5
3.6- 3.7
3.9
Week 6
2/25 (T)
4.1- 4.3
4.4- 4.5
Week 7
3/4 (T)
Week 8
3/11 (T)
4.8
4.6
4.7
7.1- 7.2
8.1
Week 9
3/16 to
3/23
Week 10 8.2
3/25 (T)
8.4
Topic
Descriptive statistics: stem-and-leaf, histograms, mean, median
Variance and standard deviation, boxplot
Probability: sample space, events, interpretations of probability, Addition
rules and Conditional probability
Multiplication and total probability rules, independence
Bayes' theorem
Discrete random variables: probability mass function, Cumulative
distribution function
Mean and variance of a discrete random variable, Discrete uniform
distribution
Binomial Random Variables, Geometric distribution
Poisson random variables
REVIEW FOR EXAM #1
MIDTERM EXAM I: WEDNESDAY ~ FEBRUARY 19, 2014
Continuous random variables: pdf and cdf
Mean and Variance of a continuous random variable, Continuous Uniform
Distribution
Exponential Distribution
Normal distribution
Normal approximations
Point Estimation, Sampling distributions and the central limit theorem
Confidence interval on the mean of a Normal distribution, variance known
SPRING RECESS ( NO CLASSES)
Confidence interval on the mean of a Normal distribution, variance
unknown
Large sample confidence interval for a population proportion
(WITHDRAWAL DEADLINE MONDAY, MARCH 31ST , 2014)
Week 11 8.3
Confidence intervals on the variance and standard deviation of a normal
4/1 (T)
Week 12 9.1- 9.2
4/8 (T)
9.1 &
9.3, 9.5
Week 13 10.4
4/15 (T) 10.1
11.1-11.2
Week 14 11.1-11.2
4/22 (T)
Week 15
5/7 (W)
5/8 5/14
distribution
REVIEW FOR EXAM #2
MIDTERM EXAM II: WEDNESDAY ~ APRIL 2, 2014
Hypothesis Testing Basics; Tests on the mean of a Normal distribution, Pvalues
Type I and II error, Small sample tests on the mean, Test on a population
proportion
Paired t-test
Tests on the difference in the means of two Normal distributions
Simple Linear Regression
Simple Linear Regression
REVIEW FOR FINAL EXAM
Reading Day
FINAL EXAM WEEK
Prepared By: Padma Natarajan