ESM2B: Linear Algebra, Fourier, Probability
Spring 2009

Room: Lecture Hall Research II
Time: Tue 9:45 -- 11:00, Th 8:15 -- 9:30
Instructor: Pavel Tumarkin
e-mail: p dot tumarkin at jacobs-university dot de
Office: Research I, 130 Phone: 200-3517
Office hours: Th, Fri 10:00 -- 11:00 and by appointment

Teaching Assistant:
Shafie Shokrani
e-mail: s dot shokrani at jacobs-university dot de
Office: Research I, 127
Office hours: Mon 11:30 -- 13:00

Every Monday at 7pm in Lecture Hall Research III we have a tutorial. Please don't forget to attend!

Textbook: K.F. Riley, M.P. Hobson, and S.J. Bence, Mathematical Methods for Physics and Engineering, 3rd Edition
You may also use the notes of the Spring 2008 course by Prof. Stadlbauer

Course description:  The course covers the following topics: Linear Algebra (matrix algebra, systems of linear equations, matrix inverse, vector spaces, linear independence, basis, dimension, linear transformations, change of basis, eigenvalues and eigenvectors, diagonalization, inner products, orthonormalization); Fourier methods (expanding functions in terms of orthonormal function systems, Fourier series, Fourier transform, Dirac delta-function); Probability (basic notions of set theory, outcomes, events, sample space, probability, conditional probability, Bayes' rule, permutations and combinations, random variables, expected value, variance, binomial, Poisson, and normal distributions, central limit theorem).

The corresponding parts of the textbook are the following:

Midterms: Midterm exam took place on Thursday, March 19

Homeworks: There will be weekly homework assignments, starting from the second week. The assignments are due 14:00 Wednesday of the next week. Please drop them in the relevant mailbox located in the entrance hall of Research I

Grading policy:

Grades will be computed according to the following rule (subject to minor changes):

Cutoff score: 95% 90% 85% 80% 75% 70% 65% 60% 55% 50% 45%
Grade: 1.0 1.33 1.66 2.0 2.33 2.66 3.0 3.33 3.66 4.0 4.33

Math Support Center: additional help is provided by Math Support Center (see also Schedule for Spring'09).