Lectures

The notes for each lecture are available on the Resources page, in PDF format. To read PDF files you need Adobe Acrobat Reader, which can be downloaded for free here.
Date Topics Assignments Reading
Jan 22 Introduction
Gaussian Elimination
Notes: PDF
Video: YouTube
Code: forwsub.m
  § 3.1
Jan 27 Gaussian Elimination, cont'd
Notes: PDF
Video: YouTube
Diary: TXT
  § 3.1
Jan 29 The LU Decomposition
Notes: PDF
Video: YouTube
  § 3.2
Feb 3 The LU Decomposition, cont'd
Notes: PDF
Video: YouTube
  § 3.2
Feb 5 The LU Decomposition, cont'd
Notes: PDF
Video: YouTube
Homework 1 Due § 3.2
Feb 10 Special Matrices
Notes: PDF
Video: YouTube
Diary: TXT
  § 3.3
Feb 12 Special Matrices, cont'd
Notes: PDF
Video: YouTube
Homework 2 Due § 3.3
Feb 17 Estimating and Improving Accuracy
Notes: PDF
Video: YouTube
Diary: TXT
  § 3.4
Feb 19 Review
Video: YouTube
   
Feb 24 Mardi Gras, no class    
Feb 26 Midterm Exam
Practice Exam: PDF
Practice Exam Solution: PDF
   
Mar 2 Stationary Iterative Methods
Notes: PDF
Video: YouTube
  § 5.1
Mar 4 Review of Fixed-Point Iteration
Notes: PDF
Video: YouTube
Diary: TXT
Homework 3 Due § 10.3
Mar 9 Review of Newton's Method and the Secant Method
Notes: PDF
Video: YouTube
  § 10.4
Mar 11 Systems of Nonlinear Equations
Notes: PDF
Video: YouTube
Diary: TXT
Homework 4 Due § 11.1
Mar 16 Spring Break, no class    
Mar 18 Spring Break, no class    
Mar 23 Spring Break, no class    
Mar 25 Spring Break, no class    
Mar 30 Basics of Differential Equations
Notes: PDF
Video: YouTube
  § 12.1
Apr 1 One-Step Methods
Notes: PDF
Video: YouTube
Diary: TXT
Code: timestep.m
Homework 5 Due § 12.2
Apr 6 Multistep Methods
Notes: PDF
Video: YouTube
  § 12.3
Apr 8 Convergence Analysis
Notes: PDF
Video: YouTube
Homework 6 Due § 12.4
Apr 13 Convergence Analysis, cont'd
Notes: PDF
Video: YouTube
  § 12.4
Apr 15 Convergence Analysis, cont'd
Notes: PDF
Video: YouTube
Homework 7 Due § 12.4
Apr 20 No Class    
Apr 22 The Shooting Method
Notes: PDF
Video: YouTube
Homework 8 Due § 13.1
Apr 27 The Shooting Method, cont'd
Notes: PDF
Video: YouTube
  § 13.1
Apr 29 Finite Difference Methods
Notes: PDF
Video: YouTube
  § 13.2
May 4 Finite Difference Methods, cont'd
Notes: PDF
Video: YouTube
  § 13.2