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