MA428: Introduction to Numerical Analysis II

This is the second half of a one-year sequence courses that introduce you to the wonderland of numerical analysis.

• General syllabus about this one-year sequence includes the following subjects (not necessarily in order.)
• The emphasis in MA427 is on the nonlinear problems, whereas the emphasis in MA428 is on the linear problems. 
• So that you can see the full spectrum of computational techniques, it is strongly recommended that you take the full year course.

Reading materials:

• Many textbooks for the sole subject of numerical linear algebra are available. We recommend the following list as general references some of which might be slightly more advanced than others. Talk to me if you have specific topics in mind.

- Introduction to Numerical Analysis, Third Edition, by Stoer and Bulirschs.

- Numerical Linear Algebra, by Trefethen and Bau.

- Matrix Computation, by Golub and Van Loan.

• My own lecture notes by subjects for this course are available on line.

Some useful tools:

• MATLAB Primer: A good starting point for learning MATLAB
• Unix Reference Desk
• Netlib: Numerical Analysis Library Network (Lots of library routines)
• AMS: American Mathematical Society (Math Review on line)
• NCSU Library: Enter it with an fearsome heart and a humble attitude; out of it with a learned mind.
• Encyclopedia s and Dictionaries: Who says a mathematician doesn't need these? Knowledge is awesome!
• RBC: Something good for your souls.

Grading Policy:

• final grade= (30% homework) + (50% projects) + (20% final exam)
• Homework must be done by individuals and turned in on time. No particular format is required. Numeric grades are given on the basis of completion and correctness
• Projects may be worked on and turned in by study groups of up to 2 people per group. All group members receive the same grade.

- It is recommended that all computer projects be carried out by Matlab.

- Each project report should contain four sections: Introduction, Mathematical Theory, Computer Program/Test, and Discussion.

- Projects are evaluated on the basis of completion and creativity.

• Final exam is a written, 3-hour, in-class, comprehensive test on your familiarity with all topics discussed in class.