MA 562: Methods of Applied Mathematics 2

Mon/Wed/Fri 1:25-2:15 p.m., PSY B43


Announcements

Practice problems for the first midterm are here. Partial solutions and hints are here.

The key for the first midterm is here.


Problem sets

Assignment 1 is here. It is due Wednesday, Jan. 31 at the beginning of class.

Assignment 2 is here. It is due Wednesday, Feb. 14 at the beginning of class.

Assignment 3 is here. It is due Monday, March 18 at the beginning of class.


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.

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 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: Mon/Wed 11a.m.-12p.m., Tues 10a.m.-11a.m.


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)