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Math 279-104: Statistics and Probability for Engineers
Spring 2018 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: This course introduces methods of summarizing and analyzing engineering data and the importance of observing processes over time such as control charts. Descriptive statistics, plots and diagrams are then used to summarize the data. Elements of probability and random variables with their distributions along with mean and variance are taught. All this knowledge is then used as a platform towards covering how to do basic estimation and inference, including confidence intervals and hypothesis testing based on a single sample. Students taking this course cannot receive degree credit for MATH 225,MATH 244, or MATH 333.

Number of Credits: 2

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 279-102 Professor P. Narayanan

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

Required Textbook:

Title Engineering Statistics
Author Montgomery, et al.
Edition 5th
Publisher John Wiley & Sons, Inc.
ISBN # 978-0470631478

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

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:

Quizzes (2), Homework, and Class Participation 20%
Midterm Exam I 20%
Midterm Exam II 20%
Final Exam 40%

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 Policy: Each week, either homework will be collected or a short quiz based on the homework will be given. There will be no make-up quizzes, and absolutely no exceptions whatsoever. If absent for valid reasons ONLY, homework will be accepted the following class for full credit. Otherwise, any late homework cannot be accepted.

Exams: There will be two midterm exams held in class during the semester and one comprehensive final exam. The final exam will be held during the following week:

Midterm Exam I Week 6
Midterm Exam II Week 10
Final Exam Week 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: There will be No make-up QUIZZES OR EXAMS during the semester. In the event an exam is not taken under rare circumstances where the student has a legitimate reason for missing the exam, the student should contact the Dean of Students office and present written verifiable proof of the reason for missing the exam, e.g., a doctor’s note, police report, court notice, etc. clearly stating the date AND time of the mitigating problem. The student must also notify the Math Department Office/Instructor that the exam will be missed.

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

Additional Resources

Math Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Spring 2018 Hours)

Further Assistance: For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed on the Math Department's webpage for Instructor Office Hours and Emails.

All students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. The Department of Mathematical Sciences takes these policies very seriously and enforces them strictly.

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 lyles@njit.edu. 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

Week Chapter Topic Homework Problems
1 2.1,
2.2, 2.3
2.4
Statistical data summary,
Stem-and-Leaf  Diagram,
Box Plots, etc.
2.1, 2.3, 2.4, 2.15, 2.16, 2.34, 2.36, 2.38c, 2.40d
2 3.1 Random Variables 3.12, 3.15, 3.16, 3.17, 3.18
3.2 Probability Overview
3.3
3 Quiz #1: 3.91, 3.94, 3.95, 3.96, 3.99
3.7.1
3.7.2
Random Variable,
Discrete Random Variable
Suppose a R.V. has a discrete distribution over the values 6, 7, 8, 9, 10. Find the expected value of X and standard deviation of X.
4 3.8 Binomial Distribution, 3.107, 3.110, 3.111, 3.118
3.9.1 Poisson Distribution, 3.122, 3.123, 3.124
3.9.2 Exponential Distribution 3.136, 1.137, 3.141
5 3.4 Probability Density Function, Mean and Variance of Continuous Distribution function 3.21abc, 3.24, 3.27, 3.29, 3.34, 3.35
6 3.5.1 MIDTERM EXAM #1
Normal Distribution Function
**** MIDTERM Test 1 Covers First 4 Class Sessions ***
7 3.5.2 Normal Distribution (Continued) 3.43, 3.45, 3.47, 3.50, 3.54
8 3.6.1 Normal Probability Plot 3.83, 3.84
3.1 Normal Approximation to Binomial and Poisson distributions 3.147, 3.148, 3.150
9 3.13 Point Estimates, Distribution of Sample Mean; Central Limit Theorem 3.195, 3.199, 3.200, 3.203, 3.204
10 REVIEW SESSION
MIDTERM EXAM #2 **** MIDTERM Test 2 Covers Class Sessions 5 thru 9 ****
11 4.1–4.2, 4.4.5, 4.5.3,  Confidence Intervals, Choice of Sample Size 4.36, 4.39d, 4.42d, 4.53c, 4.54c, and 4.60d
12 4.3, 4.4 Intro to Hypothesis Testing on the Mean 4.37a, 4.38a (use rejection regions), 4.40a (use rejection regions), 4.42a
13   Quiz #2 4.37bc, 4.39a, 4.40a, 4.41a, 4.42b, 4.43a
4.3, 4.4 P-values; t-test Assume underlying data is normally distributed & ignore direction to use p-values: 4.59b, 4.60b, 4.62b, 4.65a
14 4.5, Type I and Type II error,  4.39c, 4.41b, 4.42b
4.7 Tests on a Population Proportion and t-test 4.75abd, 4.82, 4.83ab, 4.87a
└► REVIEW FOR FINAL EXAM
Final Exam -  Date: TBD Covers Chapters 2, 3, and 4.

Updated by Professor P. Narayanan - 1/17/2018
Department of Mathematical Sciences Course Syllabus, Spring 2018