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MATH 170B Introduction to Numerical Analysis:
Approximation and Nonlinear Equations
MWF 10:00am-10:50am, SOLIS 109.
Instructor
- Prof. Melvin Leok
Office: AP&M 5763
Email: mleok@math.ucsd.edu
Office Hours: MW 11:00am-11:50am, or by appointment.
Teaching Assistant
- Helen Parks
Office: AP&M 5748
Email: hfparks@ucsd.edu
Section: M 5:00pm-5:50pm, APM B402A
Office Hours: M 1:00pm-3:00pm
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 midterm exam will be on Wednesday, February 19, from 10:00am to
10:50am, in class. The exam will cover the material up to and including
divided differences and Hermite interpolation. It will be closed book, but
you are allowed a single handwritten sheet of notes (letter sized, both
sides), and you may use a calculator.
- The final exam will be on Friday, March 21, from 8:0am to 10:59am. 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.
- Course
Handout
- Introduction to MATLAB
- Homework 1, Due Friday, January 17, 2014. [ PDF ]
- Homework 2, Due Wednesday, January 29, 2014. [ PDF ]
- Project 1, Due Wednesday, February 5, 2014. [ PDF ]
- Homework 3, Due Wednesday, February 12, 2014. [ PDF ]
- Homework 4, Due Wednesday, February 19, 2014. [ PDF ]
- Project 2, Due Wednesday, February 26, 2014. [ PDF ]
- Homework 5, Due Wednesday, March 5, 2014. [ PDF ]
- Project 3, Due Friday, March 14, 2014. [ PDF ]
- Homework 6. You are not required to turn this in, but will be
responsible for this material for the final. [ 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.
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.