Kevin Long's teaching page
Current courses
- Numerical Analysis I (Introductory numerical linear algebra)
- Diff Eq II (Systems, BVPs, and PDEs)
Notes
- Diff Eq II Notes (Math 3351)
- Numerical Analysis Notes (Math 5334 and 5335)
- Supplementary notes #1: Never solve a hard problem; transform it to a sequence of easy problems! Notes
on using recursion to prove theorems, devise algorithms, and estimate computational costs. Learn a few clever tricks to simplify cost estimation.
Backsubstitution and the Sherman's March variant of LU factorization
are analyzed in this way.
Applications of the LU factorization are discussed: solving systems, solving multiple systems, computing determinants and inverses. Finally, now that
you know how to compute a matrix inverse, find out why you shouldn't bother.
Previous courses
- TTU
- Graduate numerical analysis
- Undergraduate numerical analysis
- Graduate classical applied analysis
- Topics in numerical analysis: high-performance numerical linear algebra
- Topics in numerical analysis: programming the finite element method
- Topics in numerical analysis: advanced numerical ODEs
- Diff Eq I & II
- Calculus II
- SUNY
- Classical mechanics
- Statistical mechanics and thermodynamics
- Modern physics (relativity and introductory quantum mechanics)
- Classical physics (oscillations and waves)
- Introductory astronomy
- Astronomy lab
- U. Massachusetts
- Computational methods in astrophysics
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