MA 562: Methods of Applied Mathematics 2
Course information
This course will introduce techniques of applied mathematics and the theoretical sciences, focusing on topics complementary to those of 561.
The syllabus and detailed information are here: (pdf)
Mon/Wed/Fri 1:25-2:15 p.m., CAS 229.
Announcements
Midterm 1 will be on Monday, March 2.Practice problems for the first midterm are here. Partial solutions and hints are here.
Midterm 2 will be on Wednesday, April 22. Practice problems are here. Hints and solutions are here.
Office hours on Thursday, 4/16 will be moved to Friday the 17th (12-1p.m.) There will be additional office hours Tuesday, April 21 (1-3p.m.)
Problem sets
Assignment 1 is here. It is due Friday, January 30, at the beginning of class.
Assignment 2 is here. It is due Friday, Feb. 13 at the beginning of class.
My solutions are here.Assignment 3 is here. It is due Friday, Feb. 20 at the beginning of class.
My solutions are here.Assignment 4 is here. It is due March 30, at the beginning of class.
My solutions are here.Assignment 5 is here. It is due Monday, April 13 at the beginning of class.
My solutions are here.Project topics
If you're looking for ideas for topics for the final paper/presentation, here are a few potential options. Alternatively, you could focus on an application area.Independent components analysis.
Least-squares solutions for differential equations.
Stochastic differential equations.
Integral equations: types and basic theory.
Matched asymptotic expansions for ODEs.
Hamiltonian PDEs
Resources
"Linear Algebra Done Right" covers finite-dimensional vector spaces. You should be able to access it for free by the "access via your institution" link here.
Michael Chertkov and Colin Clark's lecture notes here include material on Fourier analysis, ordinary and partial differential equations, and the calculus of variations (and more!)
John Hunter's applied math notes here are good, and chapter 3 covers the calculus of variations.
John Hunter and Bruno Nachtergale's applied analysis notes here also cover operators, adjoints, Green's functions for differential equations, distributions and Fourier transforms, and the calculus of variations, all from a more analytic viewpoint.
Contact information
Professor: Gabriel Koch Ocker
Office: CCDS 443
Email: gkocker [at] bu.edu
Office Hours: Wed 2:30-4:30p.m., Tues 1-2p.m.