Lectures & Schedule | James C. Sutherland

You can join the zoom lectures by following this link. You’ll need the password that was in the email you received prior to the first day of class, and is also posted on Piazza.

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

Date	Topic & Notes	Recorded lecture	Other resources
8/24/2020	Course overview & introduction to python & Jupyter - see syllabus		Introduction to Jupyter Notebooks Arrays in python Introductory exercises (download only)
8/26/2020	Deriving some common governing equations	Governing equations - part 1	Some notes on the material derivative Interactive Material Derivatives (download notebook)
8/31/2020		Governing equations - part 2 (previous year recording)
9/2/2020	Taylor series review Numeric differentiation	Numeric differentiation - part 1	Taylor series notebook Numeric derivatives notebook
9/9/2020		Numeric differentiation - part 2
9/14/2020	ODE Intro Boundary Value ODEs	Intro to ODEs; Finite difference for BVPs
9/16/2020	Supplemental notes on vector norms	Discussion of error norm calculations; BVP part 2	A notebook on norms Jupyter notebook to solve the 1D heat equation problem from class notes
9/21/2020	Nonlinear systems of equations	Finite Volume; Nonlinear BVP intro
9/23/2020		Newton's method demo Nonlinear equations & Jacobian formation Linearization BVP example	Bisection notebook Newton's method notebook Linearization for BVPs example notebook
9/28/2020	Initial Value Problem ODEs	Tips on matrix setup for BVPs; Explicit IVP techniques (Forward Euler, Runge Kutta)	Notebook for Forward Euler
9/30/2020		Adams Bashforth, FE example, Backward Euler	Integrator demo notebook
10/5/2020	Stability of ODE integrators	Implicit time integrators, stability	Stability notebook Nonlinear ODE eigenvalues notebook Stiff ODE Systems stability demo
10/12/2020		Stability & systems of ODEs
10/14/2020	PDE Classification Elliptic PDEs	PDE classification; Elliptic PDEs	Elliptic PDE notebook
10/19/2020	Parabolic PDEs	Parabolic PDEs	Linear parabolic PDE example Nonlinear PDE example
10/21/2020	Hyperbolic PDEs	Parabolic PDEs (part 2), hyperbolic PDEs (part 1)
10/26/2020		Hyperbolic PDEs & modified equation analysis	Hyperbolic PDE notebook
10/28/2020	Stability for parabolic systems Verification & Convergence	Flux limiter review; Stability for Parabolic PDEs; Verification	Convergence notebook
11/2/2020	Numeric Integration	Verification (part 2) Numeric Integration
11/4/2020	Least Squares Regression	Least Squares Regression	Supplemental "soft-start" summary of linear least squares
11/9/2020	Other regression techniques Review for midterm	Midterm review; non-parametric regression/machine learning	Kernel regression notebook
11/11/2020	Midterm 2
11/16/2020	Optimization	Optimization - part 1	Optimization notebook
11/18/2020		Optimization - part 2