Lectures & Schedule

 

Lecture notes and resources will be posted here.  Please check this page frequently.

DateTopic & NotesRecorded lectureOther resources
8/23/2021Course overview & introduction to python & Jupyter - see syllabusClass overview & syllabus discussion
Taylor series review		Introduction to Jupyter Notebooks

Arrays in python

Introductory exercises (download only)
8/25/2021Taylor Series refresher

Numerical Differentiation		Numerical derivatives - part 1Discretization notebook
8/30/2021Error Norms
Lagrange polynomial examples; vector norms & convergencehomework 1 tips (jupyter notebook)
9/1/2021Convergence; Modified wavenumber analysis
9/8/2021ODE Introduction

Boundary value ODEs		Intro to ODEs
Boundary Value Problems - part 1		Example BVP solution notebook
9/13/2021Nonlinear systems of equationsThomas algorithm, Finite Volume methods, intro to nonlinear systems
9/15/2021Nonlinear EquationsBisection demo
Newton's method demo
9/20/2021Nonlinear Systems - part 2
Nonlinear BVPs - linearization		Nonlinear BVP example
9/23/2021Initial Value ODEsTips on matrices for systems of BVPs
Initial Value Problems (part 1)