Homepage for 106
Systems of Ordinary Equations
Winter 2009



This page will provide updated information about the course.
Please check it regularly.




Enrollment: 
For problems with and questions about enrollment please contact (mathadvising@ucsc.edu) .




Syllabus: Math 106

Instructor:
Maria Schonbek
email: schonbek at math dot ucsc dot edu
phone: 459-4657
Office: Baskin Engineering 353A
Office Hours: Tu 10:45-11:45 am, Th 4-5 pm

Lectures: T-Th 2:00-3:45,  Annex

Textbook:  Differntial equations, Dynamical systems, by HIrsh, Smale and Devaney,    
                  2nd edition






Exams:  Midterm:  November 5-2009
Final: Take-home


Homework:

Homework problems will be assigned on this webpage each  Tuesday and will be due the following Tuesday.
 

Homework problems:

HW1: ( due Tuesday Oct 6)
Page 16-: Problems 1,2(a,d,e), 3(b,c), 4(a,b),
Page 17:  6,7(b,c)
Page 18-19: 10,15,16


HW2: ( Tu Oct. 13)
Page 36-38: 1 (b,c), 2 (b,c), 4,7,9,11,14.
Page 56-60: 1, 4,  7, 8


HW3:
Page  72: 2 ,3,4
Page 104: 2b,3, 8
Page 135: 1b, 2.

HW4:
Page 135:5, 6a,

HW5
Page 135 8,9, 12,13,14.
Using exponential matrices solve

\[ x" + x' + x = \sin t .]


Topics-for-Midterm

HW6:
Page 156 1a,c, 2,3,4,7.
Note: I will start with Hamiltonian systems and Lyapunov functions.
I will give you notes on Thursday
The problems correspond to the notes
page 466:1,3a,b,4,18

HW 7 (due Tuesday NOv 24)
Page 497 :1, 2a, 4. 9, 10,12, 14, 18 a,b,c.

HW8 Due Tuesday dec 1
Page 518 1,2a,b 3, 13,19,21,22.

Stability-Lyapunov

Topics for final

FINAL-Math106