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 473-101: Intermediate Differential Equations
FALL 2010
Textbook: Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering by Steven Strogatz; ISBN-10: 0-738-20453-6. Westview Press © 2001.
Required Software & MATLAB Routines: Dynamics Solver (DS) (Windows) by J. M. Aguirregabiria (or the more advanced DSTool and XPP), and MATLAB routines dfield and pplane (pick the appropriate codes for your particular version of MATLAB, and download these programs).
Prerequisites: Math 222 or Math 337 with a grade of C or better.
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework & Projects: |
25% |
▪ Midterm Exam: |
35% |
▪ Final Exam: |
40% |
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 |
90-100 |
C |
60-69 |
B+ |
85-89 |
D |
50-59 |
B |
75-84 |
F |
0-49 |
C+ |
70-74 |
|
|
Drop Date: Please note that the University Drop Date November 1, 2010 deadline will be strictly enforced.
Homework Policy: You must hand in all indicated homework and projects on time, as they account for a significant portion of your overall grade. There will be several homework assignments to submit, and MATLAB type projects – including a Final Project.
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 one midterm exam held in class and one comprehensive final exam during the semester. Exams are on the following days:
Midterm Exam: |
October 13, 2010 |
Final Exam Week: |
December 10-16, 2010 |
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 to
Examination Policy.
This policy will be strictly enforced.
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 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 Holiday ~ University Closed |
|
M |
Last Day to Withdraw from this course |
|
R-Su |
Thanksgiving Recess ~ University Closed |
|
T |
Classes follow a Thursday Schedule |
|
December 8, 2010 |
W |
Classes follow a Friday Schedule |
Course Outline:
Week |
Section & Topic |
Assignments |
|
|
|||
Week
1 |
Chapter 1 |
Introduction, Overview, Review |
|
└► |
Labor day holiday ~ University Closed |
||
Week
2 |
2.0-2.8 |
Stability, Population Dynamics, |
|
Week
3 |
3.0 - 3.5 |
Series Solutions,
Saddle-Node,
Transcritical, |
|
Week
4 |
Chapter 4 Software |
Imperfect Bifurcations, Flow on a Circle, |
|
Week
5 |
5.0 - 5.2 |
2D Linear Systems |
|
Week
6 |
6.0 - 6.3 Notes |
Phase Portraits, Fixed Points, Simulations
└► REVIEW FOR
Midterm EXAM |
|
Week
7 |
└► |
MIDTERM EXAM: Wednesday ~ October 13, 2010 |
|
6.4 - 6.5 |
Lotka-Volterra Equations, Conservative Systems |
||
Week
8 |
6.7, 7.0 - 7.3 |
Structural Stability, Peixoto’s Theorem,
|
|
Week 9 |
7.0 - 8.4 |
2D Bifurcations, Hopf Bifurcation |
|
└► |
final Project assigned: Due on December 1, 2010 |
||
└► |
Last Day to Withdraw from this course |
||
Week 10 |
8.6, 8.7 |
Coupled Oscillators, Quasiperiodicity, Poincaré Maps |
|
Week
11 |
9.0 - 9.4 10.0 - 10.2 |
Lorenz and
|
|
Week 12 |
10.3 - 10.6 |
Logistic Map, Lyapunov Exponent, Universality, |
|
Week 13 |
11.0 - 11.4 |
Fractals and Fractal Dimensions |
|
└► |
[Thurs-Sun: Nov. 25-28] Thanksgiving Recess ~ University Closed |
||
Week 14 |
12.0 - 12.5 |
Strange Attractors, Henon and related Maps |
|
└► |
final Project DUE: December 1, 2010 |
||
└► |
REVIEW FOR FINAL EXAM |
STUDY FOR FINAL EXAM |
|
Week 15 |
└► |
[TUE & Wed: DEC. 7-8] Classes follow a THURSDAY and FRIDAY Schedule |
|
|
|||
Finals |
Final EXAM WEEK: December 10-16, 2010 |
Prepared By: Prof. Denis Blackmore
Last revised: May 28, 2010