# Math 63CM Analysis and Ordinary Differential Equations (aka Modern Mathematics: Continuous Methods)

### Lectures:

MTWTh 9:30-10:20am, Section: Friday 9:30-10:20am, all in in McCullough 122.

### Instructor: *Lenya Ryzhik*

*Office:* 382U in Building 380
*Office Hours:* Tuesday and Wednesday 1:30-3:00PM
and by appointment (email me and please do not be shy about it).
*Office Phone:*
650-721-2113
*e-mail:*
ryzhik@stanford.edu

### Course Assistant: * Kevin Yang*

*Office: 380U1*
*Office Hours:* Wednesday 3-6pm, Thursday 1:30-4:30pm
*e-mail:*
kyang95 "at" stanford.edu.

### Textbooks:

S. Brendle "Ordinary Differential Equations"
an electronic version
Lecture notes with additional material
Notes on matrices by Jonathan Luk
Notes on linear ODEs by Jonathan Luk
Notes for the last week of classes

### Material from Sections:

Section 1
Section 2
Section 3
Section 4
Section 5

### Exams:

There will be two midterms, the first on January 28, and the second on February 25,
both 7:00-8:30pm, and a final on Tuesday, March 17, 12:15-3:15pm. Any need for an alternative
arrangement should be discussed at least two weeks in advance of the exam.
Homeworks will be
due on Fridays.
Practice Midterm 1
Midterm 1 solutions
Practice Midterm 2
Midterm 2 solutions
An old final
The final exam

### Homeworks:

Note: The homework problems form an integral part of the course and the most reliable check of
your progress. It is fine, and even encouraged, for you to discuss the problems in general terms with
your peers.
However, it is expected that what
you hand in is your own work. The lecture notes contain some exercises that are not part of the homework
and you do not need to turn them in. You are very much encouraged to think about the exercises daily
as you review the lecture notes and make sure you
know how to do them - this is a good check of your grasp of the material of the lecture.

### Homework 1 (Due Friday, January 10)

Homework 1 problems
Homework 1 solutions
### Homework 2 (Due Friday, January 17)

Homework 2 problems
Homework 2 solutions
### Homework 3 (Due Friday, January 24)

Homework 3 problems
Homework 3 solutions
### Homework 4 (Due Friday, February 7)

Homework 4 problems
Homework 4 solutions
### Homework 5 (Due Friday, February 14)

Homework 5 problems
Homework 5 solutions
### Homework 6 (Due Friday, February 21)

Homework 6 problems
Homework 6 solutions
### Homework 7 (Due Friday, March 6)

Homework 7 problems
Homework 7 solutions
### Homework 8 (Optional)

Homework 8 problems