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MATH 170C Introduction to Numerical Analysis:
Ordinary Differential Equations
TTh 11:00am-12:20pm, HSS 1330
Instructor
- Prof. Melvin Leok
Office: AP&M 5763
Email: mleok@math.ucsd.edu
Office Hours: T 3:30pm-4:30pm, or by appointment..
Teaching Assistant
- Jeremy Schmitt
Office: AP&M 5760
Email: j2schmitt@ucsd.edu
Section: T 7:00pm-7:50pm, APM B412
Section: T 8:00pm-8:50pm, APM B412
Office Hours: T 5pm-7pm, Th 9:30am-11:30am, AP&M 5760
Textbook
- David Kincaid and Ward Cheney, Numerical Analysis: Mathematics of Scientific Computing, Third Edition, AMS Press, 2002.
An electronic copy of the second edition (from 1991)
is available in Adobe Acrobat format.
Please note that while the
technical
material is substantially similar to the third edition, the exercises
differ in some instances.
If you choose to use a second edition of this textbook, it is your responsibility to ensure that you are answering the assigned homework problems.
Announcements
- The midterm will be held in class on Tuesday, May 9, 11:00am to
12:20pm. You are allowed the use of a calculator, and one sheet of notes
(handwritten, letter sized paper, both sides). It will cover the material
on numerical quadrature, error extrapolation, numerical differentiation,
Taylor methods, and Runge--Kutta methods (including collocation methods).
- The
final will be held in HSS 1330 (where the class usually meets) on Tuesday,
June 13, 11:30am to 2:30pm. You are allowed the use of a calculator, and two sheets of notes (handwritten,
letter sized paper, both sides). It will cover all the material in this
course.
- Course
Handout
- Introduction to MATLAB
- Homework 1, Due Friday, April 14, 2016. [ PDF ]
- Homework 2, Due Friday, April 21, 2016. [ PDF ]
- Homework 3, Due Friday, April 28, 2016. [ PDF ]
- Homework 4, Due Friday, May 5, 2016. [ PDF ]
- Homework 5, Due Friday, May 19, 2016. [ PDF ]
- Homework 6, Due Friday, May 26, 2016. [ PDF ]
- Homework 7, Due Friday, June 2, 2016. [ PDF ]
- Homework 8, Due Friday, June 9, 2016. [ PDF ]
Additional Reading
- Cleve Moler, Numerical Computing with MATLAB, SIAM, 2004.
- Endre Süli and David Mayers, An
Introduction to Numerical Analysis, Cambridge, 2003.
- Brian Bradie, A
Friendly Introduction to Numerical Analysis, Prentice Hall, 2005.
- Eugene Isaacson and Herbert Keller, Analysis
of Numerical Methods, Dover, 1994.
- Richard Burden and Douglas Faires, Numerical
Analysis, 8th Edition, Brooks/Cole, 2004.
Prerequisites
- MATH 170B and a good knowledge of MATLAB.
Collaboration Policy
- Homework is an essential part of advanced mathematics courses. Most
students will find that some problems will require repeated and persistent
effort to solve. This process is an integral component of developing a
mastery of the material presented, and students who do not dedicate the
necessary time and effort towards this will compromise their performance
in the exams in this course, and their ability to apply this material in
their subsequent work.
- A student may after working conscientiously on a problem for over 30
minutes, consult with other current MATH 170C students to develop and
clarify their approach to the problem. The written solution should however
be an independent and individual effort that reflects the student's
understanding of the problem and its solution.
- As a general guide, a student should be able to independently
reproduce any solution that is submitted as homework. Copying of solutions
is not permitted and will be considered a violation of these guidelines.
Email Policy
- I will not respond to emails which are composed in an unprofessional
manner, or which violates basic email etiquette. Think professional
business letter to a potential employer, as opposed to a text message to
your friend.
- Before sending an email inquiry, please carefully review the syllabus
and course website to ensure that your question has not been addressed
there. Questions that have been addressed in the syllabus or on the course
website will receive responses that redirect you back to the appropriate
resource.
- I do not offer immediate round the clock technical support, please
plan ahead accordingly.
- I will try to respond to emails within 36 hours during the week, and
within 72 hours during the weekend.
- Emailed questions should primarily be limited to clarification of the
homework questions, and I will defer questions that require more
substantial responses, in particular programming questions, to my
office hours.
Academic Dishonesty:
Academic dishonesty is considered a serious offense at UCSD. Students
caught cheating will face an administrative sanction which may include
suspension or expulsion from the university. It is in your best interest
to maintain your integrity. Suspected violations will be investigated in
accordance with university
statute and referred to the academic
integrity office.