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MATH 170B Introduction to Numerical Analysis:
Approximation and Nonlinear Equations
MWF 1:00pm-1:50pm, APM 2301.
Instructor
- Prof. Melvin Leok
Office: AP&M 5763
Email: mleok@math.ucsd.edu
Office Hours: MW 2:00pm-2:50pm, or by appointment.
Teaching Assistant
- Shi Cheng
Office: AP&M 5768
Email: scheng@ucsd.edu
Section: M 5:00pm-5:50pm, APM 2301
Office Hours: TTh 2pm-3pm, APM 5768
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.
Sections to be covered:
Announcements
- The final exam will be on Friday, March 22, from 11:30am to 2:30pm, in
APM B412. The exam is comprehensive, and will cover all the material, up
to and including numerical differentiation. You are allowed two sheets of
notes (handwritten, letter sized paper, both sides), and a calculator.
- The TA will be holding a review session on Saturday, March 16, from
12:30pm to 2:00pm in APM B402A, and will have office hours on Thursday,
March 21, from 2pm-4pm in APM 5768. The instructor will hold office hours
on Wednesday, March 15, from 1pm to 3pm in APM 5763 (additional meetings
available by appointment).
- The midterm exam will be
on Wednesday, February 20, from
1:00pm-1:50pm. All the material up to and including Hermite interpolation
will be included. You are allowed one sheet of notes (handwritten, letter
sized paper, both sides), and a calculator.
- The final exam will be on Friday, March 22, from 11:30pm-2:30pm. You are
allowed two sheets of notes, and a calculator.
- Course
Handout
- Introduction to MATLAB
- Homework 1, [ PDF ], Due
January 18, 2013 (Questions were revised on 1/11/13).
- Homework 2, [ PDF ], Due
January 25, 2013.
- Homework 3, [ PDF ], Due
February 1, 2013.
- Project 1, [ PDF ], Due
February 8, 2013.
- Homework 4, [ PDF ], Due
February 15, 2013.
- Project 2, [ PDF ], Due
March 1, 2013.
- Homework 5, [ PDF ], Due
March 8, 2013.
- Homework 6, [ PDF ], Due
March 15, 2013.
- Homework 7, [ PDF ], this homework
will not be
collected or graded, but you may be tested on this material in the final.
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.
MATLAB Resources:
- MATLAB tutorial [ PDF ]
- Guide to MATLAB Plotting [ PDF ]
- Numerical Computing with MATLAB [ LINK ]
- MATLAB Help Desk [ LINK ]
- Octave, a free,
mature, and high-quality MATLAB clone, with ports to Mac OS X and Windows.
- FreeMat, free
native clone of Matlab for Mac OS X, Windows, and Linux.
- JMathLib, a Free Java Clone of
Matlab.
Prerequisites
- MATH 170A 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 170B 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.