MATH 6610-001 — Analysis of Numerical Methods I


Fall 2026


Instructor: Akil Narayan
Email: akil(-at-)sci.utah.edu
Office phone: +1 801-581-8984
Office location: WEB 4666, LCB 116
Office hours: TBA


Class meeting time: Monday, Wednesday, Friday 11:50am - 12:40pm
Class meeting location: JWB 333


Mathematical analysis of numerical methods in linear algebra, interpolation, integration, differentiation, approximation (including least squares, Fourier analysis, and wavelets), initial- and boundary-value problems of ordinary and partial differential equations.

The course syllabus is here: PDF



The content of this course is split across this website and Canvas. The material available on this website is:
  • Course syllabus
  • Homework assignments
  • Lecture slides and notes
  • Miscellaneous handouts and resources
The material available on Canvas is:
  • Course syllabus
  • Homework assignments and submission portal
  • Grades

Graded assignments


Individual grades for each assignment will be posted to Canvas. (uNID login required.) Note that the letter grades appearing on Canvas are not representative of predicted final letter grades for the course. Final letter grades will be computed according to the rubric and policies on the syllabus.



Homework assignments


Late work will not be accepted without advance approval from the instructor.

Problem set description Due date Homework
1 : Linear Algebra Septebmer 4, 2026 PDF
2 : Unitary and projection matrices Septebmer 11, 2026 PDF
3 : Eigenvalues Septebmer 21, 2026 PDF



Miscellaneous handouts


The following are slides from class.

Description Posting date Download Marked document
Course Notes August 26, 2026 PDF
D00: Introduction and hello August 23, 2026 PDF
D01: LA Preliminaries August 25, 2026 PDF PDF
D02: Projections and permutations August 28, 2026 PDF PDF
D03: Eigenvalues September 2, 2026 PDF PDF
D04: The singular value decomposition September 15, 2026 PDF PDF