Jochen Kuttler
Contact
Associate Professor, Faculty of Science - Mathematics & Statistical Sciences
- jkuttler@ualberta.ca
- Phone
- (780) 492-8203
- Address
-
632G-1 Central Academic Building
11324 - 89 Ave NWEdmonton ABT6G 2G1
Overview
Research
Area
Algebraic Transformation Groups
Courses
MATH 225 - Linear Algebra II
Vector spaces. Inner product spaces. Examples of n-space and the space of continuous functions. Gram-Schmidt process, QR factorization of a matrix and least squares. Linear transformations, change of basis, similarity and diagonalization. Orthogonal diagonalization, quadratic forms. Applications in a variety of fields. Prerequisites: One of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100, and one of MATH 102, 125 or 127. Note: Credit can be obtained in at most one of MATH 225 or 227.
MATH 226 - Algebraic Structures
Groups and their homomorphisms; commutative rings and modules; fields and vector spaces; subgroups and quotient groups, permutation groups; modules, submodules, quotient modules; polynomials rings and their ideals, modules over polynomial rings. Prerequisite: MATH 125. Note: Cannot be taken for credit if credit has been received in MATH 227.
MATH 348 - Differential Geometry of Curves and Surfaces
Frenet-Seret theory of curves in the plane and in 3-space, examples; local theory of surfaces in 3-space: first and second fundamental forms, Gauss map and Gauss curvature, geodesics and parallel transport, theorema egregium, mean curvature and minimal surfaces. Prerequisites: One of MATH 102, 125 or 127 and one of MATH 209, 215, 217, 315 or MA PH 351.