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Math 698: Sampling Theory
Spring 2018 Graduate 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: Role of sample surveys. Sampling from finite populations. Sampling designs, the Horowitz-Thompson estimator of the population mean. Different sampling methods, simple random sampling, stratified sampling, ratio and regression estimates, cluster sampling, systematic sampling.

Number of Credits: 3

Prerequisites: Math 662.

Course-Section and Instructors

Course-Section Instructor
Math 698-102 Professor A. Wang

Office Hours for All Math Instructors: Spring 2018 Office Hours and Emails

Required Textbooks:

Title Sampling
Author Steven K. Thompson
Edition 3rd
Publisher John Wiley & Sons, Inc.
ISBN # 978-0821828236
Notes 978-0470402313

University-wide Withdrawal Date:The last day to withdraw with a w is Monday, April 2, 2018. It will be strictly enforced.


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 20%
Project 25%
Midterm Exam 25%
Final Exam 30%

Your final letter grade will be based on the following tentative curve.

A 90 - 100 C+ 75 - 79
B+ 85 - 89 C 65 - 74
B 80 - 84 F 0 - 64

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.

Exams: There will be one midterm exam held in class during the semester and one comprehensive final exam. Exams are held on the following days:

Midterm Exam March 5, 2018
Final Exam Period May 4 - 10, 2018

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 your absence from a midterm or final exam, please review and follow the required steps under the DMS Examination Policy found here:

Cellular Phones: All cellular phones and other electronic devices must be switched off during all class times.

Additional Resources

Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporary accommodations for undergraduate, graduate and visiting students at NJIT.

If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director of Disability Support Services at 973-596-5417 or via email at The office is located in Fenster Hall, Room 260.  A Letter of Accommodation Eligibility from the Disability Support Services office authorizing your accommodations will be required.

For further information regarding self identification, the submission of medical documentation and additional support services provided please visit the Disability Support Services (DSS) website at:

Important Dates (See: Spring 2018 Academic Calendar, Registrar)

Date Day Event
January 16, 2018 T First Day of Classes
January 22, 2018 M Last Day to Add/Drop Classes
March 11 - 18, 2018 Su - Su Spring Recess - No Classes/ University Closed
March 30, 2018 F Good Friday - No Classes/ University Closed
April 2, 2018 M Last Day to Withdraw
May 1, 2018 T Friday Classes Meet - Last Day of Classes
May 2 - 3, 2018 W - R Reading Days
May 4 - 10, 2018 F - R Final Exam Period

Course Outline

Lecture Date Toic Homework Assignment
1 1/22 Introduction  Given in class
2 1/29 Simple Random Sampling A (General)  Given in class
3 2/5 Simple Random Sampling B (Conf. Interv.-Sample size) Given in class
4 2/12 Simple Random Sampling C (Proportions-Ratios) Given in class
5 2/19 Simple Random Sampling D (Unequal probabilities) Given in class
6 2/26 Review Given in class
7 3/5 EXAM Given in class
8 3/12 No Class (Spring Break) Given in class
9 3/19 Ratio & Regression Estimation Given in class
10 3/26 Stratified Sampling Given in class
11 4/2 Cluster Sampling Given in class
12 4/9 Systematic Sampling Given in class
13 4/16 Double or Two phase Sampling Given in class
14 4/23 Capture-Recapture Sampling Given in class
15 4/30 Review Given in class

Updated by Professor A. Wang - 1/18/2018
Department of Mathematical Sciences Course Syllabus, Spring 2018