ESM2B: Linear Algebra, Fourier, Probability
Spring 2010

Time and place: Mon 15:45 --17:00 Lecture Hall Research III, Th 8:15 -- 9:30 Lecture Hall Research II
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 19:00 -- 20:00 Lecture Hall Research III. On Monday, May 17, the tutorial will take place at East Hall 4

Teaching Assistant: Brennan Bell
e-mail: b dot bell at jacobs-university dot de
Office: Research I, 127
Office hours: Tue 13:00 -- 14:00

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: A midterm exam took place on Thursday, March 18

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

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 10 at 17:00 -- 19:00 in the Lecture Hall Research III.

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