Office: 726

Phone: +61 8 8313 6184

eMail: wolfgang.globke @ adelaide.edu.au

The University of Adelaide

School of Mathematical Sciences

Adelaide SA 5005

Australia

*Mathematics IA (Linear Algebra)*(Lecture – 2016 Semester 2)Linear equations, matrix algebra, linear optimization, eigenvalues.

*Mathematics for Information Technology (Discrete Mathematics)*(Lecture – 2014 Semester 2)Sets, relations, modular arithmetic, logic, cryptography, recursion, graphs and trees.

*Linear Algebra II for Computer Scientists*(Lecture – Summer 2012)Matrices and polynomials, canonical forms of matrices, scalar products and hermitian products, isometry groups, self-adjoint endomorphisms, spectral theorem.

*Linear Algebra I for Computer Scientists*(Lecture – Winter 2011/12)Groups, rings, fields, abstract vector spaces and linear maps, coordinate representation by column vectors and matrices, systems of linear equations, determinants, eigenvalues and eigenvectors.

*Lie Groups and Lie Algebras*(Seminar – Winter 2011/12)Linear Lie Groups, Lie algebra and exponential maps, Lie's and Engel's theorems, complex semisimple Lie algebras, compact Lie groups.

*Mathematics II for Biologists, Chemists and Geoscientists*(Problem Session – Summer 2011)Elementary linear algebra and multi-variable calculus: Vectors and matrices, linear equations, cross product, partial derivatives, extremal values, Lagrange multipliers, systems of ordinary differential equations.

*Mathematics I for Biologists, Chemists and Geoscientists*(Problem Session – Winter 2010/11)Single variable calculus: Sequences and series, limits, continuity, derivatives, Taylor expansion, ordinary differential equations.

*Homogeneous and Symmetric Spaces*(Problem Session – Summer 2010)Lie groups and Lie algebras as left-invariant vector fields, Lie subgroups, homogeneous manifolds, symmetric spaces, semisimple Lie groups, locally symmetric spaces.

*Algebraic Groups and Arithmetic Groups*(Problem Session – Winter 2007/08)Linear algebraic groups, arithmetic groups, hyperbolic plane, proper actions, fundamental and Siegel domains, Harish-Chandra's theorem.