Resources and Education for the Mathematical Sciences

Stacks Image 1985

Beginning Scientific Computing [View]

 

This website makes available all lectures for AMATH 301, Beginning Scientific Computing. This course provides an introduction to programming and the MATLAB scripting language. It is intended for engineering and physical sciences majors, providing a broad introduction to the power of numerical methods, scientific computing and MATLAB programming.

 

 

Stacks Image 9424

Reduced Order Modeling [View]

 

This website makes available all lectures for a new course that is still in development on Reduced Order Modeling. The course covers topics in nonlinear model reduction, balanced truncation and reduced basis methods.

 

 

Stacks Image 30026

Dynamic Mode Decomposition [View]

 

This website makes available a variety of lectures for the emerging method of dynamic mode decomposition. It includes numerous MATLAB codes as well.

 

 

Stacks Image 30071

Data Methods for Biologists [View]

 

This website makes available a variety of lectures for a new course focusing on data methods used in the biological sciences. It includes numerous MATLAB codes as well as lecture materials and lightboard videos.

 

 

COURSERA COURSES

 

Stacks Image 4775

Scientific Computing [View]

 

This course provides a survey of numerical solution techniques for ordinary and partial differential equations. Emphasis is on the application of numerical schemes to practical problems in the engineering and physical sciences.

 

Stacks Image 4808

Computational Methods for Data Analysis [View]

 

Exploratory and objective data analysis methods applied to the physical, engineering and biological sciences. Brief overview of statistical methods and their computational implementation for time series analysis, spectral analysis, filtering methods, principal component analysis, proper orthogonal decompositions, and image processing and compression.

 

 

Lightboard Architecture

 

Stacks Image 21682
Over the Spring and Summer of 2015, I built (with critical help from Derek Franz and Steven Brunton) a lightboard in the Department of Applied Mathematics. The lightboard is a remarkable tool for online education since you can integrate multiple teaching modalities: standard lecturing, powerpoint, MATLAB, and computer drawing programs. This allows the instructor to face the audience, which improves the online engagement over standard methods.

We used this method to film and produce our Data Science for Biologists course which is available on EdX and YouTube.
© 2015 kutz Contact Me