Math 53: Winter 2017


This
is a first course in ordinary differential equations. The material
includes separation of variables and other elementary methods; elements
of linear algebra (
eigenvalues, eigenvectors, matrix diagonalization), systems of linear
differential equations; the method of variation of parameters for
solving inhomogeneous system;
stability of equilibria, the Laplace transform; Fourier series
and their applications
This course will focus on
solving concrete problems. Students interested in a more
theoretically oriented course should look into Math 63CM.
For a more detailed syllabus see the schedule of topics.
Prerequisites:
Single Variable Calculus (Math 192021, or 4142, or equivalent);
Linear Algebra and Multivariable Calculus (Mathematics 51 or equivalent)

Prof. Yakov Eliashberg, Email: eliash@stanford.edu,
office 383S
Prof. Tian Yang, Email: yangtian@stanford.edu, office
382F
Christos Mantouldis, Email: c.mantoulidis@math.stanford.edu, office 381K
Ka Yu Tam, Email: kytam@stanford.edu, office 380M

The text for the course is Differential Equations:
An Introduction to Modern Methods and Applications  Second Edition,
by Brannan and Boyce. If you have problems finding the textbook at the
campus bookstore, please contact your instructor. Additional material
will be posted online.
Course website:
The course website is web.stanford.edu/class/math53/.

Your final grade is calculated by averaging your
homework, midterm, and final examination scores as follows:
 Homework: 20%
 This
is a nontrivial portion of your grade, so be sure to spend time
completing your homework assignments. (Your lowest homework score will
be dropped before this average is computed; this policy is to
accommodate exceptional circumstances such as a serious illness.)
 Two Midterm Exams: 20% each
 The
first midterm will be on Thursday, February 2 from 79pm in Bishop
Auditorium . The second midterm will be Thursday, February 23 from
79pm in Bishop Auditorium.
 Final Exam: 40%
 The final exam will be on Monday, March 20 from 710 pm. (Location TBA).
A note regarding homework:
There will be weekly homework assignments to be turned into your TA at
the beginning of your Thursday discussion section. No late homeworks
will be accepted. To accommodate exceptional situations such as a
serious illness, your lowest homework score will be dropped. The
homework assignments and solutions will be posted on this website.

 You are encouraged to attend the office hours provided by the instructors
and teaching assistants. You may attend the office hours of any
instructor or teaching assistant.
 The Stanford University Mathematics Organization
(SUMO) offers free
dropin tutoring for students in the 50's sequence. Tutoring is
available on Mondays and Wednesdays from 610 PM in room 380381T.
 Free Tutoring
at the Center for Teaching &
Learning.
 The
math department offers a "Homework Night" where students in any math
course can get together to work on assignments. It takes place Tuesdays
from 79 PM in room 380381U.
 Math Department
Web Page
 Tips for Success in
Undergraduate Math Courses by Jessica Purcell
 Some very good
advice for college calculus students. Read this carefully and do as it
suggests.
 Note:
Pay particular attention to #3 under "Weekly" and #6 and #7 under
"Before the exam". Students who think they're following these tips
often overlook those parts, and they're the most important ones!
 Common
Errors in Undergraduate Mathematics by Eric Schechter
 Although
this document is a bit on the long side, you should read at least some
of it carefully  you'll do better in your math classes because of it.
We encourage you to pay particular attention to the sections: bad
handwriting, all of the algebra
errors, streamofconsciousness
notations, and going
over your work.
 Statement from the Registrar concerning students
with documented disabilities:
 "Students who may need an academic
accommodation based on the impact of a disability must initiate the
request with the Student
Disability Resource Center
(SDRC) located within the Office of Accessible Education (OAE). SDRC
staff will evaluate the request with required documentation, recommend
reasonable accommodations, and prepare an Accommodation Letter
for faculty dated in the current quarter in which the request is being
made. Students should contact the SDRC as soon as possible since timely
notice is needed to coordinate accommodations. The OAE is located at
563 Salvatierra Walk (phone: 7231066)."
 Honor Code
and Fundamental
Standard

