5710   Introduction to Applied Math 
Fall 2019, MWF 11:50-12:40, JTB 320
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.

Text: Gilbert Strang. Introduction to Applied Mathematics. Chapters 1, 2, 3, 6.4, 6.6.
 About the book and its author 

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?
Course projects (optional)

1.  Derive equations of rocket motion (with and without gravity). Discuss.
2. Investigate Equilibrium of a structure with cables and rods (I will give the chart of the structure to the interested students)
3. Describe Cloaking of an insulating ball in a homogeneous conducting medium.

To chapter 2. Lagrange multip[lyers method
http://www.math.utah.edu/~cherk/teach/5500-19/note5.2.8.19.constrains.pdf