list 8 sequences
assignment Level : Introductive
chat_bubble_outline Language : English
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Key information

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About the content

In this course, you'll hone your problem-solving skills through learning to find numerical solutions to systems of differential equations. You'll write code in Python to fight forest fires, rescue the Apollo 13 astronauts, stop the spread of epidemics, and resolve other real-world dilemmas.

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Syllabus

Lesson 1: Rescuing Apollo 13, Part 1

Introduction to the Forward Euler Method

Lesson 2: Rescuing Apollo 13, Part 2

Comparing solvers, Heun’s Method, and the Symplectic Euler Method

Lesson 3: Analyzing the Spread of Diseases

Implicit methods and stiffness

Lesson 4: There’s Plenty of Fish in the Sea?

Stability, sensitivity, and optimization

Lesson 5: Antilock Brake Systems

Friction, equilibria, and control theory

Lesson 6: The Path of a Forest Fire

Partial differential equations and heat conduction

Lesson 7: Advanced Applications of Numerical Methods

Chaos, software, and predictive capability
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Instructors

  • Jörn Loviscach - Jörn Loviscach is a professor of technical mathematics and computer engineering. In a former life, he was a professor of computer graphics, animation, and simulation, worked as editor and senior editor for several computer magazines. For three years he also served as deputy editor-in-chief of c’t Magazin für Computertechnik, a renowned German biweekly. His research integrates human-computer interaction, visual computing, and audio and music computing. Both as a researcher and as a practitioner he is interested in applying digital media to education. He has published over 1800 video lectures on his YouTube channel on mathematics and computer science, and his channel is one of the most popular of its kind in Germany.
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Platform

Udacity

Udacity is a for-profit educational organization founded by Sebastian Thrun, David Stavens, and Mike Sokolsky offering massive open online courses (MOOCs). According to Thrun, the origin of the name Udacity comes from the company's desire to be "audacious for you, the student". While it originally focused on offering university-style courses, it now focuses more on vocational courses for professionals.

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