Math 351  Introduction to Numerical Analysis  Winter 2020
Class Information
Instructor: Tuan Pham
Section 1
Class meetings: Bexell Hall 321, MWF 9:00  9:50 AM
[Syllabus]
[Tentative calendar]
[Canvas site]
Office Hours
M, W, F 1:00  2:00 PM at Kidder Hall 268
Th 12:00  2:00 PM at Kidder Hall 268
W 2:00  3:00 PM at Kidder Hall 108 J (computer lab)
Assignments
Lecture notes
Review (Mar 13): review for Final exam, link to Zoom video
Lecture 27 (Mar 11): error estimates of Riemann sums (cont.)
Lecture 26 (Mar 9): error estimates of Riemann sums
Lecture 25 (Mar 6): numerical integration, Riemann sums
Lecture 24 (Mar 4): draw quadratic spline, Matlab example
Lecture 23 (Mar 2): compute quadratic spline
Lecture 22 (Feb 28): explain Runge phenomenon; spline interpolation
Lecture 21 (Feb 26): use polynomial interpolation to approximate a function, Matlab example
Lecture 1920 (Feb 2124): Newton formula
Lecture 18 (Feb 19): programming Lagrange formula on Matlab, Matlab example
Lecture 17 (Feb 17): interpolation problems; Lagrange formula
Lecture 16 (Feb 14): fixed point method
Lecture 15 (Feb 12): an example of Newton's method in higher dimensions
Lecture 14 (Feb 7): bisection method and Newton's method in higher dimensions
Lecture 13 (Feb 5): stopping condition of Newton's method, Matlab example; practice on order of convergence
Lecture 12 (Feb 3): order of convergence
Lecture 11 (Jan 31): error analysis of Newton's method
Lecture 10 (Jan 29): error analysis of bisection method, Matlab example; Newton's method
Lecture 9 (Jan 27): sources of error, rootfinding problem, bisection method
Lecture 8 (Jan 24): defects of arithmetics in floatingpoint format and consequences
Lecture 7 (Jan 22): addition and multiplication in floatingpoint format
Lecture 6 (Jan 17): floatingpoint format and fixedpoint format
Lecture 5 (Jan 15): arithmetic operations in binary system
Lecture 4 (Jan 13): estimate an integral using Taylor approximation
Lecture 3 (Jan 10): error estimate of Taylor approximation, Matlab example
Lecture 2 (Jan 8): Taylor approximation
Lecture 1 (Jan 6): introduction
Remarks before / after class
Final review
Matlab practice 3
Midterm exam solution
Midterm review
Matlab practice 2
Matlab practice 1
Instructions to install Matlab
Links
Department of Mathematics
Oregon State University
 This page was last modified on Monday, March 16, 2020.

