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MATH 333 Course Syllabus - SPRING 2013

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 333:  Probability and Statistics

 

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); ISBN: 9780470053041

Instructor:   (for specific course-related information, follow the link below)

 

Math 333-002

Prof. Natarajan

Math 333-004

Prof. Natarajan

Math 333-006

Prof. Swanson

Math 333-102

Prof. Natarajan
   Math 333-104     Prof. Porus

 

Grading Policy:  The final grade in this course will be determined as follows: 

▪ Homework & Quizzes:

20%

▪ 2 Common Midterm Exams:

25% each

▪ 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 March 26, 2013 deadline will be strictly enforced.

Homework and Quiz Policy:  Either homework will be collected every week or a quiz will be given 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:  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:

February 27, 2013

Exam 2:

March 27, 2013

Final Exam Week:

May 9 - 15, 2013

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 programmable calculators, cell phones, CD players, etc.) are not allowed during any exam. Please refer to the registrar's website for the official date and time of each exam at http://www.njit.edu/registrar/exams/index.php

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.

January 21, 2013

 M

Dr. Martin Luther King, Jr. Day ~ University Closed

March 17-24, 2013

 Su-Su

Spring Recess ~ No Classes Scheduled ~ University Open

March 26, 2013

 T

Last Day to Withdraw from this course

March 29, 2013

 F

Good Friday ~ University Closed

May 7, 2013

 T

Classes follow a Friday Schedule, Last Day of Classes

May 8, 2013

 W

Reading Day

May 9-15, 2013

 T-W

Final Exams

 

 

Course Outline and Homework Assignments:

 

 

Week

Section

Topic

Homework Assignments

Week  1

1/22 (T)

6.1-6.4

Descriptive statistics: stem-and-leaf, histograms, mean, median


6.9, 6.14, 6.24, 6.54

6.1- 6.4

Variance and standard deviation, boxplot

Week 2
1/29 (T)

2.1- 2.2

Probability: sample space, events, interpretations of probability

2.42, 2.45, 2.47a, 2.51, 2.58, 2.67

2.3- 2.4

Addition rules and Conditional probability

2.76, 2.80, 2.88, 2.93, 2.96
 

Week 3
2/5 (T)

2.5- 2.6

 

Multiplication and total probability rules, independence

2.108, 2.113, 2.125, 2.172, 2.178

2.7

Bayes' theorem

2.142, 2.144, 2.148

 

Week 4
2/12 (T)

3.1- 3.3

Discrete random variables: probability mass function,  Cumulative distribution function

3.10, 3.16, 3.21, 3.26, 3.40

 

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
2/19 (T)

3.6- 3.7

Binomial Random Variables, Geometric distribution

3.76, 3.79, 3.84, 3.85, 3.90, 3.103

3.9

Poisson random variables

3.132, 3.140, 3.158

Week 6
2/26 (T)

 

REVIEW FOR EXAM #1

 

 

MIDTERM EXAM I:  Wednesday ~ February 27, 2013

 

Week 7
3/5 (T)

4.1- 4.3

Continuous random variables: pdf and cdf

4.5, 4.8, 4.14, 4.16, 4.26

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
3/12 (T)

4.8

Exponential Distribution

4.90, 4.95, 4.98, 4.104, 4.110 

4.6

Normal distribution

4.49, 4.62, 4.64, 4.68, 4.54abc

3/17-3/24

 

Spring Recess: No classes

 

Week 9
3/26 (T)

 

REVIEW FOR EXAM #2
(WITHDRAWAL DEADLINE  MArch 26, 2013)

 

 

MIDTERM EXAM II:  Wednesday ~ March 27, 2013



Week 10
4/2 (T)

4.7

Normal approximations 

4.80, 4.84, 4.87 ab

7.1- 7.2

Point Estimation, Sampling distributions and the central limit theorem

7.5, 7.11, 7.12

Week 11
4/9 (T)

8.1

Confidence interval on the mean of a Normal distribution, variance known

8.10, 8.12, 8.21, 8.24

 

8.2

Confidence interval on the mean of a Normal distribution, variance unknown

8.28, 8.29, 8.38bc

Week 12
4/16 (T)

8.3-8.4

Confidence intervals on the variance and standard deviation of a normal distribution, large sample confidence interval for a population proportion


8.44, 8.52abc, 8.54, 8.58

9.1- 9.2

Hypothesis Testing Basics; Tests on the mean of a Normal distribution (rejection region approach only)


9.41 a, 9.47a

Week 13
4/23 (T)

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

9.1 &
9.3

Type I and II error, Small sample tests on the mean

9.15, 9.41 bc, 9.47cde, 9.58a, 9.60a

Week 14
4/30 (T)

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

10.4

10.1

Paired t-test

Tests on the difference in the means of two Normal distributions

10.40 b, 10.44a

10.5ab, 10.6ab

 

REVIEW FOR FINAL EXAM

 

Week 15

5/7 (T)

 

Classes follow Friday Schedule on 5/7

Reading Day on 5/8

 

5/9-5/15

 

Final EXAM WEEK

 

 

Prepared By:  Prof. Padma Natarajan

Last revised:  January 14, 2013

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