MATH 639 Course Syllabus – SPRING 2013


NJIT HONOR CODE:  All Students should be aware that the Department of Mathematical Sciences takes the NJIT Honor Code 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 Honor Code, students are obligated to report any such activities to the Instructor.

 

Math 639:  Mathematical Modeling II

 

Instructor:   Prof. Miura

 

Prerequisites:  Math 613

 

Number of Credits:  3

 

Course Description:  Continuation of Math 613 (Advanced Applied Mathematics I, Modeling). Concepts and strategies of Mathematical Modeling are developed by case studies in a selection of areas. Topics will be complementary to those presented in Math 613, and include for example, the mathematical theory of elasticity and electromagnetism. Effective From: Fall 2006

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

Hand-In Homework and

Class Participation

 35%

Midterm Examination

 25% 

Final Examination

 40%

 

 

 Your final letter grade will be based on the following tentative curve:

 

A

90 – 100

C

60 – 74

B+

85 – 89

D

55 – 59

B

80 – 84

F

0 - 54

C+

75 - 79

 

 

 

Course Policies:

·         Homework Policy: There will be hand-in homework.

·         Attendance: Attendance in all classes is strongly encouraged. Absences from class will inhibit your ability

to learn and will affect your grade. Late arrival to class is very disruptive and will not be tolerated.

·         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 electronic devices (cellular phones, beepers, iPods, laptops, etc.) must be switched off during all class and exam times.

 


Departmental Policies:

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 22

First Day of Classes

March 17-24

Spring Recess – No Classes

March 26

Last Day to Withdraw from Classes

March 29

Good Friday – No Classes

May 7

Classes follow a Friday Schedule

May 8

Reading Day

May 9-15

Final Exams

 

 

 

  

Tentative Course Outline

Week

Topic

1

Introduction to Applied Mathematics and the Art of Mathematical Modeling

2

Mathematical Models – Physical Sciences and Biological and Medical Sciences

3

Models from Neurophysiology

4

Models from Neurophysiology

5

Resonance and Nonlinear Resonance

6

Excitable Cells

7

Bursting Electrical Activity in Beta Cells

8

Cortical Spreading Depression and Wave Propagation

9

Fermi-Pasta-Ulam Nonlinear Strings – Nonlinear Water Waves

10

The Korteweg-de Vries Equation and Modified Korteweg-de Vries Equation

11

Solitary Waves and Solitons

12

Gardner’s Equation

13

Case Studies

14

Case Studies

 

 Prepared by Prof. Robert Miura

Last revised: January 8, 2013