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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) Matrix condition number and SVD
20) SVD Geometry
21) Low Rank
22) Community Projects
23) Introduction to Fortran
24) Interpolation
25) Chebyshev Polynomials and Piecewise Interpolation
26) Spline Interpolation
27) Higher Dimensions
28) Noisy data
29) Numerical Intergration
30) Quadrature
31) Transformed Quadrature
32) Beyond Linear Models
33) Gradient Descent
34) Differentiation
35) Differential Equations
36) Stiff Equations
37) CFD examples
38) FEM/SEM
39) Careers in computational science and scientific computing
40) Extra: Sparse Linear Algebra
41) Extra: Fast transforms
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