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