ESM2B: Linear Algebra, Fourier, Probability
Spring 2011

Room: Lecture Hall Research III
Time: Mon 9:45 -- 11:00, Wed 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: Wed 16:00 -- 17:00 and by appointment

Tutorials: Mon 18:45 -- 19:45, Lecture Hall Research III

Teaching Assistant: Brennan Bell
e-mail: b dot bell at jacobs-university dot de
Office: Research I, 116b
Office hours: by appointment

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: There will be a midterm exam scheduled for Wed, March 23

Make up final exam will take place on
Monday, September 12, 19:00 -- 21:00,
CNLH.

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

AP exam: AP exam (not mandatory) takes place on Wednesday, Feb 9 at 17:15 -- 19:15 in the Lecture Hall Research II.

Math Support Center: additional help is provided by Math Support Center