1 
Mon, 
Jan 23 
Introduction
[NB (Julia)][NB (HTML)]



Wed, 
Jan 25 
Matrix manipulations
[NB (Julia)][NB (HTML)]



Fri, 
Jan 27 
Vector spaces, norms, singular values


2 
Mon, 
Jan 30 
Matrices, norms, canonical forms



Wed, 
Feb 01 
Neumann series, sensitivity, conditioning



Fri, 
Feb 03 
Floating point
[NB (Julia)][NB (HTML)]


3 
Mon, 
Feb 06 
Floating point
[NB (Julia)][NB (HTML)]



Wed, 
Feb 08 
Gaussian elimination
[NB (Julia)][NB (HTML)]



Fri, 
Feb 10 
Blocking
[NB (Julia)][NB (HTML)]


4 
Mon, 
Feb 13 
Perturbation theory, refinement, Cholesky, project 1 intro
[NB (Julia)][NB (HTML)][P1 (Julia)][P1 (HTML)]



Wed, 
Feb 15 
Pivoting, conditioning, error estimation



Fri, 
Feb 17 
Sparse, banded, and structured solves


5 
Mon, 
Feb 20 
Intro to least squares
[NB (Julia)][NB (HTML)]



Wed, 
Feb 22 
Least squares and QR
[NB (Julia)][NB (HTML)]



Fri, 
Feb 24 
Illposedness and regularization
[NB (Julia)][NB (HTML)]


6 
Mon, 
Feb 27 
February break 


Wed, 
Mar 01 
Illposedness and regularization
(Bindel away)



Fri, 
Mar 03 
Applications of eigenvalue problems
(Bindel away)


7 
Mon, 
Mar 06 
Power iteration
[NB (Julia)][NB (HTML)]



Wed, 
Mar 08 
From power methods to QR iteration
[NB (Julia)][NB (HTML)]



Fri, 
Mar 10 
Hessenberg, tridiagonal, and bidiagonal


8 
Mon, 
Mar 13 
Stationary iterations
[NB (Julia)][NB (HTML)]



Wed, 
Mar 15 
GaussSeidel convergence, extrapolation



Fri, 
Mar 17 
Krylov subspace iterations


9 
Mon, 
Mar 20 
Nonlinear equations in 1D
(Bindel away)
[NB (Julia)][NB (HTML)][P2 (Julia)][P2 (HTML)]



Wed, 
Mar 22 
Nonlinear equations in 1D
(Bindel away)
[NB (Julia)][NB (HTML)]



Fri, 
Mar 24 
Optimization in 1D
(Bindel away)
[NB (Julia)][NB (HTML)]


10 
Mon, 
Mar 27 
Nonlinear equations and optimization
[NB (Julia)][NB (HTML)]



Wed, 
Mar 29 
Newton in many dimensions
[NB (Julia)][NB (HTML)]



Fri, 
Mar 31 
Gradient descent and Newton for optimization
[NB (Julia)][NB (HTML)]


11 
Mon, 
Apr 03 
Spring break 


Wed, 
Apr 05 
Spring break 


Fri, 
Apr 07 
Spring break 

12 
Mon, 
Apr 10 
GaussNewton and nonlinear least squares
[NB (Julia)][NB (HTML)]



Wed, 
Apr 12 
Modified Newton iterations
[NB (Julia)][NB (HTML)]



Fri, 
Apr 14 
QuasiNewton and other iterations
[NB (Julia)][NB (HTML)]


13 
Mon, 
Apr 17 
Line search and globalization
[NB (Julia)][NB (HTML)]



Wed, 
Apr 19 
Trust regions
[NB (Julia)][NB (HTML)]



Fri, 
Apr 21 
Homotopy and continuation
[NB (Julia)][NB (HTML)]


14 
Mon, 
Apr 24 
Constraints and multipliers
[NB (Julia)][NB (HTML)]



Wed, 
Apr 26 
Methods for equality constraints
[NB (Julia)][NB (HTML)]



Fri, 
Apr 28 
Methods for inequality constraints
[NB (Julia)][NB (HTML)]


15 
Mon, 
May 01 
Derivative free methods
[NB (Julia)][NB (HTML)]



Wed, 
May 03 
Stochastic optimizers



Fri, 
May 05 
Review


16 
Mon, 
May 08 
Review

