MA427: Introduction to Numerical Analysis I

This is the first 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 will be on the nonlinear problems, whereas the emphasis in MA428 will be 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.
• A familiarity with some programming skills is required for this course.

Reading materials:

• Text book: My own lecture notes by subjects for this course are available on line.
• The following books are good references for this subject:
1. Introduction to Numerical Analysis, Third Edition, Stoer and Bulirschs.
2. Numerical Analysis, L. Ridgway Scott.
3. Numerical Analysis, 2^nd Edition, Tim Sauer.

Some useful tools:

• 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 awesome heart and a humble attitude; out of it with a learned mind.
• Encyclopedia s and Dictionaries: Who says a mathematician doesn't need these?
• RBC: Something good for your souls
  

Grading Policy:

• final grade= (25% homework) + (50% projects) + (25% final exam)
• Homework and final exam are to be completed by individuals.
1. Homework will be assigned intermittently.
2. Homework is meant to supplement gaps in lectures, so do expect a quick turn-around.
• Projects may be worked on and turned in by study groups of up to 2 people per group.
1. All group members receive the same grade.
2. Projects are related to skills learned in class, but most topics require additional endeavors to investigate new territories.
3. Project papers require specific format. All reports and figures must be computer generated.
• Final exam will be in the take-home format. It is a comprehensive test on all subjects.
1. The test will be given out on the last day of class, Monday, 11/29/2021, and is due by Wednesday, 12/8/2021 at 2:30 PM.
2. The answer sheets should be typed and submitted as one single .pdf file via email.