Beginning Scientific Computing

Video Lectures and Supplementary Tutorials

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    Advanced Numerical Algorithms through MATLAB

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    Three-body Problem of Celestial Mechanics and Chaotic Behavior

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    Programming in MATLAB

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    Gradient Descent for Optimization

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    Fourier Transform and Applications

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    Quadrature Rules for Integration

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    Newton-Raphson Iteration Methods

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    Principal Component Analysis from SVD

Schedule

  • Midterms: October 29, November 19, December 10
  • Detailed syllabus: Schedule
  • Homework: [ HW 1 ] (10/7), [ HW 2 ] (10/14), [ HW 3 ] (10/25), [ HW 4 ] (11/4), [ HW 5 ] (11/10), [ HW 6 ] (11/24) [ HW 7 ] (12/2)
  • Monday Office Hours (zoom link on canvas): 9-1230 & 3-5
  • Tuesday Office Hours (zoom link on canvas): 1030-1230 & 230-430 & 5-7
  • Wednesday Office Hours (zoom link on canvas): 9-1230 & 3-5
  • Thursday Office Hours (zoom link on canvas): 1030-430 & 7-9
  • Friday Office Hours (zoom link on canvas): 10-1 & 330-530

 

About This Course

 

This webpage is designed to provide a easy access point for all video materials related to AMATH 301: Beginning Scientific Computing (Department of Applied Mathematics, University of Washington). Each topic is broken down into weekly lectures (3 lectures per week) that are arranged topically. Included are supplementary materials related to each lecture.

 

Topics Covered

Below are the mathematical subjects covered over the course of a 10-week course.

  • Introduction to MATLAB and programming
  • Linear Systems of Equations: Ax=b
  • Singular Value Decomposition & Principal Components
  • Differential and Integrable Calculus
  • Differential Equations
  • Fourier Transform
  • Optimization and curve fitting
  • Deep learning

 

 

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