Math 5410 - 1 Introduction to Ordinary Differential Equations Sept. 7, 2017 Math 6840 - 1 M, T, W, F, 2:00 - 2:50 PM in LS 101. Homepage: http://www.math.utah.edu/~treiberg/M5410.html Instructor: A. Treibergs, JWB 224, 581 - ­8350. Office Hours: M, T, F 11:45 - 12:45 (tent.) & by appt. E-mail: treiberg@math.utah.edu Prerequisites: "C" or better in (MATH 2250 OR MATH 2280). Experience with higher level courses and computation is recommended. Texts: Morris Hirsch, Stephen Smale & Robert Devaney, Differential Equations, Dynamical Systems, and an Introduction to Chaos 3d ed, Academic Press, Waltham, 2013. ISBN 978-0-12-382010-5 Grading Homework: To be assigned weekly. Homework will be due Fridays and will be collected n class. Papers turned into my mailbox in the math mail room (JWB 228) by 4:00 PM Fridays before I leave will be regarded as being turned in on time. Homework that is late will receive half credit. Term Project: Students will write a short mathematical paper on an approved topic of their choice. This paper will allow students to explore in some detail a mathematical theory or a model from science or engineering beyond what's covered by lectures. Students will meet individually with the instructor to discuss an their proposed project for approval. Written project outlines will be due Oct.20. Completed projects are due the last day, Dec. 6. 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. 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 on Wednesdays Sept. 20 and Nov. 1. Final Exam: Mon., Dec. 11, 1:00 - 3:00 PM. Half of the final will be devoted to material covered after the second midterm exam. The other half will be comprehensive. Students must take the final to pass the course. Course grade: Two midterms 40% + Project 10% + HW 20% + final 30%. Withdrawals: Last day to register is Aug.25. Last day to drop class is Sept.1. Until Oct. 20 you can withdraw from class with no approval at all. After that date you must petition your dean's office to be allowed to withdraw. Objectives: Cover the theory of linear and nonlinear ordinary differential equations and dynamical systems, introduce initial-value problems and behavior of solutions, discusses existence-uniqueness- perturbations-continuous dependence of solution on initial conditions, and introduce nonlinear dynamical systems with applications. Tentative Course Schedule: Part I: Linear systems: Chapters 2 - 6 Part II: Fundamentals: Chapters 7, 8, 17 Part III: Nonlinear equations and dynamical systems: Chapters 9 -15 ADA: 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 this class, reasonable prior notice needs to be given 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 alternate format with prior notification to the Center for Disability Services (www.hr.utah.edu/oeo/ada/guide/faculty/) 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. Students 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, plagiarism and/or collusion, as well as fraud, theft, etc. Students should read the Code carefully and know they are responsible for the content. According to the Faculty Rules and Regulations, it is 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. Faculty must strive in the classroom to maintain a climate conductive to thinking and learning (PPM 6-316). Students have a right to support and assistance from the University in maintaining a climate conducive to thinking and learning (PPM 6-400). Note: The syllabus is not a binding legal contract. It may be modified by the instructor when the student is given reasonable notice of the modification.