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MATH 279 Course Syllabus
- FALL 2012
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: 2
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, 244, or 333. Effective From: Spring 2008.
Prerequisites: Math 112 with a grade of C or better or Math 133 with a grade of C or better.
Textbook: Engineering Statistics (5th Edition), by Montgomery Runger and Hubele; ISBN: 9780470631478
Instructor: (for specific course-related information, follow the link below)
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Math 279-001 |
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Math 279-003 |
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Math 279-101 |
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Math 279-103 |
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Math 279-105 |
Grading Policy: The final grade in this course will be determined as follows:
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▪ Homework & Quizzes: |
25% |
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▪ Midterm Exam: |
35% |
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▪ Final Exam: |
40% |
Your final letter grade will be based on the
following tentative curve. This curve may be adjusted slightly at the end of the semester.
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A |
90-100 |
C |
65-74 |
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B+ |
85-89 |
D |
55-64 |
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B |
80-84 |
F |
0-54 |
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C+ |
75-79 |
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Drop Date: Please note that the University Drop Date November 6, 2012 deadline will be strictly enforced.
Homework Policy: Homework will be due each Monday for both lectures that occurred the previous week. We will have a short quiz during the first 15 minutes of each Monday lecture which will be on any topics from the previous week (and may be questions taken directly from the homework). It is therefore vital that you complete all of the homework assignments by the specified dates. There are no make-up quizzes, but the lowest quiz grade for the semester will be dropped.
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.
MATLAB: MATLAB is a mathematical software program that is used throughout the science and engineering curricula.
Exams: There will be one midterm exam and one comprehensive final exam during the semester. Exams are scheduled during normal class times. 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 to Examination Policy. This policy will be strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may not be used during any exam.
Makeup Exam Policy: There will be No make-up EXAMS during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.
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. Teaching Assistants are also available in the math learning center.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
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.
| M |
Labor Day ~ No classes |
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| T |
Last Day to Withdraw from this course |
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| T |
Classes follow a Thursday Schedule |
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| W |
Classes follow a Friday Schedule |
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| R-Su |
Thanksgiving Recess |
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| R |
Reading Day |
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| F- R |
Final Exams |
Course Outline and Homework Assignments:
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Week |
Lect. |
Section |
Topic |
Homework Problems |
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Week 1 |
1 |
1.1–1.4
2.1–2.2 |
Role of Statistics, Data
summary, |
Read Chapter 1 + |
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2 |
2.3–2.5 |
Frequency histogram, box
plot and
time series plots
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2.22, 2.27e, 2.30, 2.34,
2.38 |
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Week 2 |
3 |
3.1–3.3 |
Probability, random
variables, probability mass function, mean and
variance |
3.11, 3.17, 3.18 |
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Week 3 |
4 |
3.4 |
Probability density
function, mean and variance |
3.19ab, 3.22, 3.27, 3.29,
3.23 |
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5 |
3.7 |
Binomial distribution |
3.83, 3.84, 3.94, 3.97,
3.99 |
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Week 4 |
6 |
3.8–3.9.1 |
Poisson process
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3.107, 3.110, 3.111 |
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7 |
3.9.2 |
Exponential distribution |
3.122, 3.124, 3.125 |
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Week 5 |
8 |
3.5, 3.10 |
Normal distribution,
normal approximation |
3.34, 3.39ab, 3.41, 3.46,
3.48, |
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9 |
3.13 |
Point Estimates,
Distribution of sample mean; Central Limit Theorem |
3.174, 3.175 |
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Week 6 |
10 |
3.11 |
Independence, Covariance
and correlation |
3.139a, 3.149, 3.150 |
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11 |
└► |
REVIEW FOR Midterm EXAM |
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Week 7 |
12 |
└► |
MIDTERM EXAM: |
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13 |
4.1–4.2 |
Statistical inference,
point and interval |
4.1, 4.3, 4.4 |
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Week 8 |
14 |
4.3 |
Statistical hypotheses,
one-sided and |
4.13a, 4.15a, 4.17a |
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15 |
4.3 |
Procedure for hypothesis
testing, computing probabilities of type I and type
II errors |
4.31, 4.33, 4.34, 4.36 |
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Week 9 |
16 |
4.3 |
Procedure for hypothesis
testing, computing probabilities of type I and type
II errors (cont.) |
4.37, 4.38, 4.40 |
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17 |
4.4 |
Hypothesis testing on the
mean, p-values, |
4.31, 4.33, 4.34, 4.36,
4.37, 4.38, 4.40 |
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Week 10 |
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18 |
4.4, 4.7 |
Large sample tests
including the one on
population proportion
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4.74, 4.76 |
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19 |
4.5, 4.6 |
t-test, hypothesis
testing on the variance |
4.49, 4.52, 4.53a, 4.59,
4.60 |
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Week 11 |
20 |
└► |
REVIEW FOR FINAL EXAM |
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Final |
FINAL EXAM: |
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Prepared By: Prof.
Last revised: September 14, 2012