CS/Math 3414: Numerical Methods - Spring 2024

Tue/Thu 12.30 - 1.45 pm MCB 307 (ZOOM when necessary, see link on CANVAS)

"All is number", Pythagoras

"The purpose of computing is insight, not numbers", R. H. Hamming

Instructor:        Alexey Onufriev
Office:              2160C Torgersen Hall
Phone:              (540)231-4237
Email:               alexey AT cs.vt.edu
Office Hours:    TBA. See CANVAS for zoom link.

GTA:                  TBA
Office:                MCB 106 (via zoom when necessary, link on canvas)
Email:                @vt.edu
Office Hours:     TBA

Text Books:
Syllabus
FAQ

Submit homework and extra credit via Canvas. IGNORE DUE DATES; these will be set on CANVAS. Solutions to all HWs and quizzes will appear on CANVAS promptly after each submission deadline. If a deadline falls on an official university holiday, the due date moves to 11pm of 2nd business day after the holday.
Classes:
Intro Lecture
Machine arithmetic and associated errors Homework Problem Set 1. DUE Feb 14, 11pm   PDF ;    
Tylor series in numerical computations (review)
Roots of equations Homework Project 2. DUE Feb 21, 11pm   PDF;    
Optimization basics Homework Project 3. DUE March 28, 11 pm   PDF ;  Mathematica hints  
Effective programming practices.
Midterm. Sometime in late March.
Interpolation Homework Project 4. DUE April 15, 11 pm. Problem 3 is extra credit.   PDF ; 
Least squares Homework Project 5. Due April 22, 11 pm.   PDF   Historic Data.   The Future. (to be revealed after the deadline).
Intro into "real world" numerical packages
Basics of Mathematical Modeling Explore a model of the pandemic.   A mathematica notebook.
Ordinary differential equations Homework Project 6, Due April 29, 11 pm.   PDF ; 
Advanced topics (if time permits) Extra Credit Problem "the Universe", Due May 3, 11 pm.   PDF ; 
The final. Sometime in May.
Exam and quiz self-prep (no points assigned, solutions revealed after the deadline.):
  • Midterm self-study problems. Due 48 hrs before the midterm.
  • Beyond Midterm: self-study problems. Due 48 hrs before the final
  • Solutions to "Beyond Midterm" example problems
  • Beyond Midterm: self-study problems II. Due 48 hrs before the final
  • Beyond Midterm self-study III: Solving ODEs. Due 48 hrs before the final
  • Solutions.
    Extra Credit Projects. Unless otherwise stated, submit anytime by the absolute deadline of April 20, 11 pm. POLICY ON PROJECTS. read this first.

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