Instructor: Professor Andrej
Cherkaev Office: JWB 225 Telephone: 581-6822 E-mail: cherk@math.utah.edu |
Offie Hour M 1:30 - 2:30
Addressed to graduate and senior undergraduate students in
math, science, and engineering.
Syllabus:
Ch. 1
Linear systems, Gaussian elimination, Cholesky decomposition,
Minimal principles, eigenvalues, and dynamical systems
Ch.2
Structure of electrical networks. Constraints and Lagrange
multipliers, Structures in equilibrium
Ch.3
Equilibrium in a continuum medium; Laplace equation and potential
flow; Vector calculus in 3d: Div, Grad, Gurl; introduction to
Calculus of Variations. Equilibrium in fluids and solids.
Ch.6
6.4. Heat equation and wave equation
6.6. Nonlinear Conservation Laws
Grade
The grade will be based on homework scores, exams, and an optional course project.Final exam: Friday, December 13, 2019, 10:30 am – 12:30 pm
Applied Math in the University of Utah
Why study applied math?