University of Kentucky

MA/CS/EGR 537 Numerical Analysis
Section 2 - Spring 2016
MWF 11:00-11:50 in CB 341

Dr. Qiang Ye
735 Patterson Office Tower, Phone: 257-4653, Email: qye3 "at" uky . edu
Office Hours: M: 2-3 pm; WF: 3-4pm.

Text

Numerical Analysis by Walter Gautschi, Birkhäuser, 2011.
Ebook is available for free when on UKY network through springer link SpringerLink.

Course Coverage

The course studies numerical algorithms and related theory for solving a variety of mathematical problems. The following topics will be covered:

Computer arithmetic and condition number
Polynomial and Spline Interpolation and Approximation
Numerical Differentiation and Integration
Finding Roots and Fixed-Points:
Initial Value Problems for Ordinary Differential Equations:

Grading

The course grade will be based on homeworks (55%), a midterm exam (15%) and a final exam (30%).

Computing

Some assigned homework problems will require programming in MATLAB (or Octave). For those who have not used MATLAB before, this free book by Moler (Introduction to MATLAB) provides a good introduction. MATLAB also has an extensive on-line help facility (just type "help" or "help commandname" in MATLAB).

Homeworks and Exams:

HW 1 Solutions.
HW 2 Solutions.
HW 3 Solutions.
HW 4 Solutions.
Midterm Exam Solutions.
HW 5 Solutions.
HW 6 Solutions.
HW 7 Solutions.
HW 8 Solutions.
HW 9 Solutions.
Final exam coverage: Chapters 3, 4, 5, 6. (Two questions from each chapter).

Demonstration Programs

The following are some MATLAB demonstration codes. You can run them online at Octave online.