MATH 177

Geometric Methods in ODE


Spring Quarter 2015

Mo We: 12:50--2:05pm -- 381T

INSTRUCTOR - Professor Yakov Eliashberg

Office 383S

Office hours: MoWe 2:15-3:30 pm   

TEACHING ASSISTANT -  Jesse Madnick

Office 380T

Office hours:  TuTh   12:00-2:00.


SYLLABUS



                                            Homework N1                                       
         Solutions to Homework N1                                                         
                                            Homework N2          Solutions to Homework N2
                                            Homework N3          Solutions to Homework N3

Midterm Exam

Final Exam


Textbook     :   

Additional Texts:                                            
        


     
V. I. Arnold,  Geometrical Methods in the Theory of Ordinary Differential Equations, 2nd edition, Springer 1988

V. I. Arnold, Mathematical Methods of Classical Mechanics, 2nd Edition, Springer

52h online text: Multilinear functions, differential forms and Stokes's Theorem

53h online text: Additional Chapters

Fixed points text

The  online text will be from time to time updated and expanded

 The class  will  be  using the Piazza system: www.piazza.com.
Piazza is a question-and-answer platform specifically designed to get you answers fast.
You can use  Piazza for  asking questions, as well as answering questions of your classmates.
Please never hesitate to ask questions. Your questions will also benefit other students.
The instructor and the TA will be monitoring  all the discussions on Piazza.

Homeworks  will be given once every two weeks, posted online on Wednesdays, and collected in class the Wednesdays in a week.

                               


EXAMS

There will be two take-home exams:

  Midterm will be given the last week of April

Final will be given the first week of June

GRADING:

                                                                                                Homework                    
                       30%                                                                                                         
                                                                                                    Midterm
                         25%
                                                                                                        Final
                         45%