MATH 477 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 477-102:  Stochastic Processes

 

Instructor:  Prof. Horntrop 

Textbook:  Introduction to Probability Models, Tenth Edition by S. Ross.

Additional References: 

▪  S. Karlin and H. Taylor, A First Course in Stochastic Processes, contains a more theoretical treatment of many of the topics of this course.

▪  P. Hoel, S. Port, and C. Stone, Introduction to Stochastic Processes, is a classical introduction to stochastic processes.

▪  H. Taylor and S. Karlin, An Introduction to Stochastic Modeling, is similar in breadth and depth as our textbook.

Prerequisites:  Math 244 or Math 333, and Math 337, all with a grade of C or better, and familiarity with basic ordinary differential equations.

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

Homework + Quizzes:

30%

Midterm Exam:

35%

Final Exam:

35%


Grading:  The midterm examination will represent 35% of your grade. The final examination will also be worth 35% of your grade. The remaining 30% of your grade will be determined by your homework and quizzes; in calculating this quantity, I will drop your one lowest homework or quiz score from throughout the semester.

Drop Date:  Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.

Examinations:  There will be a midterm examination and a final examination. The midterm examination will occur before the "drop'' deadline. The final examination date, time, and location will be determined by the university.

Homework:  Homework assignments/projects will be given frequently. Each assignment must be turned in at the beginning of class. Late assignments are NOT accepted. Early assignments are always welcomed and are appropriate for preplanned absences from class. Even though not every problem in an assignment may be graded, you are expected to attempt all of them. As a standing assignment, you should read the relevant sections of the textbook prior to lecture.

Quizzes:  From time to time, quizzes may be given. Make up quizzes are NOT given.

Attendance:  Attendance at and participation in all lectures is expected. If you know in advance that you will be absent from class for a legitimate reason, please tell me prior to your absence so that appropriate arrangements (if any) can be made. Tardiness to class is very disruptive of the classroom environment and should be avoided.

Honor Code:  The NJIT Academic Integrity Code applies to all activities associated with the course, including but not limited to homework, quizzes, examinations, and projects. As an example, when you submit a homework assignment, you are certifying that your paper contains only your work and is not copied from other people or sources.


 

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:

Lecture

Date

Course Topics

 

 

1

▪  Review of Basic Probability

▪  Common Discrete and Continuous Distributions

▪  Moment Generating Functions

▪  Conditional Probability

▪  Discrete-Time Markov Chains

▪  Chapman--Kolmogorov Equations

▪  Classification of States

▪  Limiting Probabilities

▪  Mean Time in Transient States

▪  Applications

▪  Exponential Distribution

▪  Poisson Processes

▪  Continuous--Time Markov Chains

▪  Birth and Death Processes

▪  Transition Probabilities

▪  Time Reversibility

▪  Stationary Processes

▪  Brownian Motion

▪  Gaussian Processes

▪  White Noise

▪  Pricing Stock Options

 

2

3

4

5

6

7

8

9

10

11

12

13

14

 

Finals

Final EXAM WEEK:  May 9-15, 2013

 

 

 

Prepared By:  Prof. David Horntrop

Last revised:  January 25, 2013

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