Math 5470/6440
Math 5470/6440 - Chaos Theory, Spring 2017
Lecturer:
Alla Borisyuk
Office: LCB 303, Phone: (801) 585-1639
E-Mail:
borisyuk at math.utah.edu
Office Hours: Monday 9-10
Class Project
HOMEWORK
Selected homework solutions: Page 1, Page 2, Page 3
Partial solution for the Midterm 2
Solution for the Midterm 1
Solution for Quiz 3
Solution for Quiz 5
Textbook: Stephen H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to
Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity)
2nd ed., Westview Press; 2014. ISBN-13: 978-0813349107
Course description:
Chaos is everywhere around us from fluid flows, weather forecasting, stock
prices and fractal images. The theory of nonlinear dynamical systems uses
bifurcations, attractors and fractals to describe the chaotic behavior in
the real world. The course gives an introduction to chaotic motions,
strange attractors, fractal geometry:
We shall generally follow Strogatz' text. We will emphasize applications
taken from various subjects like mathematical biology, engineering,
geometry and physics.
Class time: TTh 9:10-10:30 in LS 101
Prerequisites: Math 2250 or Math 2270-2280 sequence
3 credit hours
Course Grade: 2 Midterms (20% each) + Quizzes (20%) + Final (30%)
Homeworks and quizzes: Homework will be assigned every lecture
and posted on the class website.
The homework itself will not be turned in! However, every
Tuesday, at the start of the class, there will be a quiz, featuring
one or two of the homework problems. The quiz will be graded.
I want to emphasize greatly that doing the homework in the timely fashion is the only way to keep up with the course, to identify where you may be having trouble, and need additional work. Math can only be learned through practice. Doing homework is your chance to learn! The quizzes will be easy if you
really understand how to do the assigned problems, and impossible if you don't.
Extra credit problems and 6440 students:
Some homework assignments will contain extra-credit
problems (including exercises from additional sections of the book, computing exercises or open-ended
questions). The extra credit problems can be turned in and will be graded.
Students who successfully complete most of these will be permitted to do a project at the
end of the class, instead of the comprehensive part of the final exam.
Students registered for 6440 are required to attempt extra credit
problems – they will contribute to your homework score.
Exams:
Exams will be closed book except that you will be allowed
to bring a "cheat sheet," an 8.5" x 11" piece of paper with
notes on both sides (the "cheat sheet" will not be allowed on quizzes). Your text, notes, homework papers,
calculators, laptops, tablets, phones, text messaging devices,
and other books will not be allowed.
Midterms: There will be two in-class one-hour midterm exams, tentatively, on Thursdays
Feb. 23 and Mar. 30.
Final Exam: Th, April 27, 8:00 - 10:00 AM. Half of the final will be devoted to
material covered after the second midterm exam. The other half will be
comprehensive.
With any questions, please, contact me in class or by email: borisyuk at math.utah.edu
Friendly advice:
Ask questions!!! If lecture was unclear, homework confusing, homework grading strange, book
mysterious or anything else – ask! (office hours, after class, email).
Since ideas will build
on each other throughout the semester, seek help as soon as possible
Read your book! It has detailed explanations and more examples that can be covered in class. It
is a good book – use it wisely.
Do your exercises! This is really the only way to learn or to know what questions to ask. Make
sure that you look over your homework when it is returned to you, and if you still do not know
why an answer is wrong, ask about it.
I strongly encourage you to start the homework as early as possible, so that
you can seek help as needed. Do feel free to ask questions after you attempted the problems yourself. I also strongly suggest that you complete
the homework even if you are late in handing it in.
ADA statement. The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accommodations in the class, reasonable prior notice needs to be given to the Center for Disability Services, 162 Olpin Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to make arrangements for accommodations.
All information in this course can
be made available in alternative format with prior notification to the
Center for Disability Services.
Faculty and Student Responsibilities:
All students are expected to maintain professional behavior in
the classroom setting, according to the Student Code, spelled out in the
Student Handbook. You have specific rights in the classroom as detailed in
Article III of the Code. The Code also specifies proscribed conduct
(Article XI) that involves cheating on tests, collusion, fraud,
theft, etc. Students should read the Code carefully and know you are
responsible for the content. According to Faculty Rules and Regulations,
it is the faculty responsibility to enforce responsible classroom behaviors,
beginning with verbal warnings and progressing to dismissal from
class and a failing grade.
Students have the right to appeal such action to the
Student Behavior Committee.http://regulations.utah.edu/academics/6-400.php