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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:  3

 

Course Description:  Combines mathematical modeling with physical and computational experiments conducted in the Undergraduate Mathematics Computing Laboratory.

Prerequisites:  Math 331, Math 337, and Math 340 with a grade of C or better.

 

 

Textbook:  There is no book which would cover the whole course. We will be using various books which are familiar from previous classes, as well as handouts. Here is a suggested list of useful books:

Reference Books:

• R. Haberman, Mathematical models: mechanical vibrations, population dynamics, and traffic flow: An introduction to applied mathematics; ISBN: 0898714087.

• Boyce and DiPrima: Elementary Differential Equations;

• Lin and Segel: Mathematics Applied to Deterministic Problems in the Natural Sciences; ISBN: 0898712297.

• Farlow: Partial Differential Equations for Scientists and Engineers; ISBN 048667620X.

If you still have the textbooks from the following courses, that would be a plus:

 

-Haberman from Math 331 (PDE),

-Strogatz from Math 473 (Nonlinear Dynamics and Chaos) -Brown & Churchill from Math 332 (Complex variables)

 

Course Objectives:

 

Learn fundamental tools of applied mathematics used to solve problems from linear and nonlinear physics, including analytical, numerical, and asymptotic methods. Perform physics experiments, make predictions, and understand the results using the above techniques.

 Specifically, a successful student should be able to:

- analyze and understand the dynamics of the mass-spring system, the pendulum, and other simple mechanical systems using perturbation methods, phase-plane analysis, and numerical simulation.

- derive ODE's for simple mechanical models using Newton's laws or variational methods

- conduct simple experiments, analyze them, and present the results in a lab report

- understand and apply the basic theory of chaotic dynamics

- understand Laplace's equation as the governing PDE of electrostatics and be able to apply different tools to its study

 

Capstone Attendance Policy: In this course, we will do physics experiments, and you will be required to turn in lab reports. Unexcused absences on lab days will result in the student receiving zero credit for the lab they miss.

 

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

 

Math 450-H01

Prof. Goodman

 

 

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

▪ Homework & Projects:	40%
▪ Quizzes:	15%
▪ Midterm Exam:	15%
▪ Final Exam:	30%

 

Drop Date:  Please note that the University Drop Date November 6, 2012 deadline will be strictly enforced.

Examinations:  There will be one midterm exam and one final exam during the final exam week. Exams are held on the following days:

Exam 1:	October 17, 2012
Final Exam Week:	December 14-20, 2012

 

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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.

September 3, 2012	M	Labor Day ~ No classes
November 6, 2012	T	Last Day to Withdraw from this course
November 20, 2012	T	Classes follow a Thursday Schedule
November 21, 2012	W	Classes follow a Friday Schedule
November 22-25, 2012	R-Su	Thanksgiving Recess
December 13, 2012	R	Reading Day
December  14-20, 2012	F- R	Final Exams

 

Course Outline:

(Each topic includes experimental demonstration)

 

 

Prepared By:  Prof. Roy Goodman

Last revised:  August 14, 2012