Introduction to Numerical Analysis
(22M:072 & 22C:055)
Spring 1998

Professor: Suely Oliveira (MLB Room:B1J), phone: 335-0755
Classes: MWF 10:30-11:20
Office hours: M and F: 2:00-3:00; T and Tr : 11:00-12:00

In this class we are going to cover diverse topics in the area of basic Numerical Analysis We will rely on the mathematical software Matlab to implement and understand algorithms and concepts. The book used is Charles Van Loans' Introduction to Scientific Computing. Emphasis will be given to projects and homeworks.

SYLLABUS

• Introduction to Matlab and Numerical problems:
  1.4.2/1.4.3/1.4.4/1.5.1/1.5.2 (1.5 weeks)
• Polynomial Interpolation:
  2.1/2.2/2.3/2.4/3.1 (2.5 weeks)
• Linear Systems:
  6.1/6.2/6.3/6.4 (2 weeks)
• [] exam I: Covers everything so far.
• QR and Cholesky Factorizations:
  6.1/6.2/6.3/6.4 (2 weeks)
• Nonlinear Equations:
  8.1/8.2/8.4 (2 weeks)
• [] exam II: Covers everything after exam I.
• Numerical Integration: 4.1./4.2/4.3 (2 weeks)
• Initial Value Problems: 9.1/9.2/9.3 (2 weeks)
• [] exam III (final) : Covers everything after exam II.
• [] Possible extra topics: Splines and numerical PDE's.

Grading: Exams: 51% (17% each), projects: 35% and homeworks: 14% . There will be approximately 3 projects and 7 homeworks.