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MATH 333 H 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.
Math 333H: Probability and Statistics Honors
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 112H with a grade of B or better or Math 112 with a grade of A or Math 133 with a grade of A.
Textbook: Applied Statistics and Probability for Engineers (5th Edition) by Douglas C. Montgomery and George C. Runger; Publisher: John Wiley & Sons (Custom Edition); ISBN: 9780470053041
Instructor: (for specific course-related information, follow the link below)
|
Math 333-H01 |
Grading Policy: The final grade in this course will be determined as follows:
|
▪ Homework & Quizzes: |
15% |
|
▪ 2 Common Midterm Exams: |
20% each |
|
▪ Project: |
15% |
|
▪ Final Exam: |
30% |
Your final letter grade will be based on the
following tentative curve. This curve may be adjusted slightly at the end of the semester.
|
A |
88-100 |
C |
60-69 |
|
B+ |
82-87 |
D |
55-59 |
|
B |
75-81 |
F |
0-54 |
|
C+ |
70-74 |
|
|
Drop Date: Please note that the University Drop Date November 6, 2012 deadline will be strictly enforced.
Homework and Quiz Policy: The first class of each week, one of the following will occur: A quiz on the previous week’s material will be given during the first 15 minutes of class OR the homework from the previous week will be collected and graded. There are no make-ups for a missed quiz. At the end of the semester, the lowest of these grades will be dropped.
Reference Material Available at:
▪ http://web.njit.edu/~dhar/math333/math333.html
▪ 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: There will be two common midterm exams during the semester and one comprehensive final exam during the final exam week. Exams are held on the following days:
Exam 1:
October 10, 2012
Exam 2:
November 7, 2012
Final Exam Week:
December 14-20, 2012
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.
This policy will be
strictly enforced. Please note that electronic devices (such as calculators, cell phones, CD players,
etc.) are not allowed during any exam.
Makeup Exam Policy: There will be No make-up QUIZZES OR 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 |
|
| T |
Last Day to Withdraw from this course |
|
| T |
Classes follow a Thursday Schedule |
|
| W |
Classes follow a Friday Schedule |
|
| R-Su |
Thanksgiving Recess |
|
| R |
Reading Day |
|
| F- R |
Final Exams |
Course Outline and Homework Assignments:
|
Week |
Lecture |
Section |
Topic |
Homework Assignments |
|
Week
1 9/4 (T) |
1 |
6.1-6.4 |
Descriptive statistics: stem-and-leaf, histograms, mean,
median |
|
|
2 |
6.1-
6.4 |
Variance and standard deviation, boxplot |
||
|
Week 2 |
3 |
2.1-
2.2 |
Probability: sample space, events, interpretations of
probability |
2.42, 2.45, 2.47a, 2.51, 2.58, 2.67 |
|
4 |
2.3-
2.4 |
Addition rules and Conditional probability |
2.76, 2.80, 2.88, 2.93, 2.96 |
|
|
Week 3 |
5 |
2.5- 2.6 |
Multiplication and total probability rules, independence |
2.108, 2.113, 2.125, 2.172, 2.178 |
|
6 |
2.7 |
Bayes' theorem |
2.142, 2.144, 2.148 |
|
|
Week 4 |
7 |
3.1-
3.3 |
Discrete random variables: probability mass function,
Cumulative distribution function |
3.10, 3.16, 3.21, 3.26, 3.40 |
|
8 |
3.4-
3.5 |
Mean and variance of a discrete random variable,
Discrete uniform distribution |
3.50, 3.56, 3.66, 3.69, 3.73
|
|
|
Week 5 |
9 |
3.6-
3.7 |
Binomial Random Variables, Geometric distribution |
3.76, 3.79, 3.84, 3.85, 3.90, 3.103 |
|
10 |
3.9 |
Poisson
random variables |
3.132, 3.140, 3.158 |
|
|
Week 6 |
11 |
|
REVIEW FOR EXAM #1 |
|
|
|
|
MIDTERM EXAM I: Wednesday ~
OCTOBER 10, 2012 |
|
|
|
Week 7 |
12 |
4.1-
4.3 |
Continuous random variables: pdf and cdf |
4.5, 4.8, 4.14, 4.16, 4.26 |
|
13 |
4.4-
4.5 |
Mean
and Variance of a continuous random variable,
Continuous
Uniform Distribution |
4.27, 4.33, 4.42, 4.44
|
|
|
Week 8 |
14 |
4.8 |
Exponential Distribution |
4.90, 4.95, 4.98, 4.104, 4.110
|
|
15 |
4.6 |
Normal
distribution |
4.49, 4.62, 4.64, 4.68, 4.54abc |
|
|
Week 9 |
16 |
4.7 |
Normal
approximations |
4.80, 4.84, 4.87 ab |
|
17 |
7.1-
7.2 |
Point Estimation, Sampling distributions and the central
limit theorem |
7.5, 7.11, 7.12 |
|
|
Week 10 |
18 |
|
REVIEW FOR EXAM #2 |
|
|
|
|
MIDTERM EXAM II: Wednesday ~
NOVEMBER 7, 2012 |
|
|
|
Week 11 |
19 |
8.1 |
Confidence interval on the mean of a Normal
distribution, variance known |
8.10, 8.12, 8.21, 8.24 |
|
20 |
8.2 |
Confidence interval on the mean of a Normal
distribution, variance unknown |
8.28, 8.29, 8.38bc |
|
|
Week 12 |
21 |
|
Classes follow Thursday Schedule |
|
|
11/22-11/25 |
22 |
|
Thanksgiving Recess: No classes |
|
|
Week 13 |
23 |
8.3-8.4 |
Confidence intervals on the
variance and standard deviation of a normal
distribution, large sample confidence interval for a
population proportion |
|
|
24 |
9.1-
9.2 |
Hypothesis Testing Basics; Tests on the mean of a Normal
distribution (rejection region approach only) |
|
|
|
Week 14 |
25 |
9.1- 9.2 |
Tests of hypothesis on the mean of a normal dist.:
one-sided and two-sided hypotheses, P-values |
9.46b, 9.47b |
|
26 |
9.1
& |
Type I and II error, Small sample tests on the mean |
9.15, 9.41 bc, 9.47cde, 9.58a, 9.60a |
|
|
Week 15 |
27 |
9.4-
9.5 |
Tests on the variance and standard deviation, Test on a
population proportion |
9.72, 9.81, 9.82 a, 9.86, 9.87, 9.94 |
|
28 |
10.4 |
Paired
t-test Tests
on the difference in the means of two Normal
distributions |
10.40 b, 10.44a |
|
|
29 |
|
RPROJECT DUE AND
REVIEW FOR FINAL
EXAM |
|
|
|
12/14-12/20 |
|
|
Final EXAM WEEK |
|
Prepared By: Prof. Ari Jain
Last revised: May 4, 2012