Mathematics 406:
Variational and Approximate Methods in Applied
Mathematics
 Class: Monday, Wednesday, Friday at 14h00
in Math 203.
 Instructor:
 Anthony Peirce
 mailto:peirce@math.ubc.ca
 MATH 108
 Office Hours: Location Math 108: Times: Monday: 12:301:30 am, Wed:
33:55 pm, Fri: 1011 am..
 Course information
 Dates to Remember

Programming Resources

Course notes
 MATLAB Demos:
 Overview of the course
 Approximation Theory: Interpolation and Approximation of functions:
 Lecture1, Lecture 2, Lecture 4, Lecture 5
 Numerical Integration:
 Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10
 ODE:
 Green's Functions for Boundary Value Problems:
 2017: Lecture 11, Lecture 12, Lecture 13, Lecture 14, Lecture
15, Lecture 16, Lecture 17, Lecture 18
 Variational methods for Boundary Value Problems
 2017: Lecture 19, Lecture 20, Lecture 21, Lecture 22, Lecture
23
 PDE
 Elliptic Equations:
 Finite Difference Methods
 The Finite Element Formulation for Elliptic Equations with triangular
tesselation of arbitrary regions
 Lecture 24, Lecture 25, Lecture 26, Lecture 27
 Green's Functions for Elliptic PDE
 Green's Theorems and multidimensional delta functions: Lecture
28,
 Free Space Green's Functions: Lecture 29,
 The Boundary Integral Method: Lecture 30, Lecture 31
 The Indirect Boundary Element Method: Lecture 32,
 Green's Fuction for a circle using the Method of Images:
Lecture 33,
 Imanges, Eigen Function Expansions, and the FT: Lecture
34
 Evolution Equations
 Initial Value Problems for ODE: Lecture 35, Lecture 36, Lecture
37.
 The heat Equation
 The wave Equation
 Class Demo Programs
 MATLAB: Demo session in Class
 Interpolation and Integration:
 Midterms
 Homework
 Assignments
 Assignment 1 (Due 20 th Sept 2019) Solutions
 Assignment 2 (Due 4 th October 2019) Solutions, trapez.m
 Assignment 3 (Due 18 thOctober 2019) Solutions
 Assignment 4 (Due 8th November 2019), Solutions
 Project 1 (Due November 13 th)
 Assignment 5 (Due 15th November 2019), Solutions, FEM_pack
 Project 2 (due) Z.dat
 Assignment 6 (Due 22nd November 2019), Solutions, BEM_Pack