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Welcome
Syllabus
Slides
1) First Class: Reproducibility and Git
2) The Linux Filesystem and commands
3) Functions
4) Intro to C
5) Intro to C pointers
6) C structs and functions
7) C memory
8) Function errors
9) Conditioning
10) Rootfinding
11) Convergence classes
12) Newton methods
13) Stability
14) Linear Algebra
15) Gram-Schmidt and QR
16) Householder QR
17) Cholesky QR
18) Solving Systems
19) HW2 Review
20) Matrix condition number and SVD
21) SVD Geometry
22) Low Rank
23) Community Projects
24) Introduction to Fortran
25) Interpolation
26) Chebyshev Polynomials and Piecewise Interpolation
27) Spline Interpolation
28) Midterm Solution
29) HW3 Solution
30) Higher Dimensions
31) Noisy data
32) Numerical Intergration
33) Quadrature
34) Transformed Quadrature
35) Beyond Linear Models
36) Gradient Descent
37) Differentiation
38) Differential Equations
39) Stiff Equations
40) CFD examples
41) FEM/SEM
42) Careers in computational science and scientific computing
43) Extra: Sparse Linear Algebra
44) Extra: Fast transforms
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