About this Course

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.

Play Trailer Play Trailer
Differential Equations in Action
Course Cost
Free
Timeline
Approx. 2 months
Skill Level
Intermediate
Included in Course
  • Icon course 01 3edf6b45629a2e8f1b490e1fb1516899e98b3b30db721466e83b1a1c16e237b1 Rich Learning Content

  • Icon course 04 2edd94a12ef9e5f0ebe04f6c9f6ae2c89e5efba5fd0b703c60f65837f8b54430 Interactive Quizzes

  • Icon course 02 2d90171a3a467a7d4613c7c615f15093d7402c66f2cf9a5ab4bcf11a4958aa33 Taught by Industry Pros

  • Icon course 05 237542f88ede3178ac4845d4bebf431ddd36d9c3c35aedfbd92e148c1c7361c6 Self-Paced Learning

  • Icon course 03 142f0532acf4fa030d680f5cb3babed8007e9ac853d0a3bf731fa30a7869db3a Student Support Community

Join the Path to Greatness

This free course is your first step towards a new career with the VR Developer Nanodegree Program.

Free Course

Differential Equations in Action

Enhance your skill set and boost your hirability through innovative, independent learning.

Icon steps 54aa753742d05d598baf005f2bb1b5bb6339a7d544b84089a1eee6acd5a8543d

Course Leads

  • Jörn Loviscach
    Jörn Loviscach

    Instructor

  • Miriam Swords Kalk
    Miriam Swords Kalk

    Instructor

What You Will Learn

Lesson 1

Rescuing Apollo 13, Part 1

  • Introduction to the Forward Euler Method.
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.
  • Symplectic Euler Method.
Lesson 2

Rescuing Apollo 13, Part 2

  • Comparing solvers, Heun's Method.
  • Symplectic Euler Method.
Lesson 3

Analyzing the Spread of Diseases

  • Implicit methods and stiffness.
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 4

There's Plenty of Fish in the Sea?

  • Stability, sensitivity, and optimization.
Lesson 5

Antilock Brake Systems

  • Friction, equilibria, and control theory.
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 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.
Lesson 7

Advanced Applications of Numerical Methods

  • Chaos, software, and predictive capability.

Prerequisites and Requirements

You'll need a basic knowledge of programming in Python for this course, around the level of Intro to Computer Science. An understanding of Python packages, as discussed in Programming Foundations with Python, will also be helpful.

In addition, you'll need to feel comfortable with trigonometry at the high school level, as well as basic vector algebra. This class will primarily involve solving differential equations numerically rather than analytically, but some exposure to calculus and physics at the level of Intro to Physics wouldn't hurt.

Most of all, bring with you a love of learning and problem solving!

See the Technology Requirements for using Udacity.

Why Take This Course

By the end of this course, you'll develop an intuition for the use of differential equations in the applied sciences. You'll also learn how to build mathematical models for systems of differential equations using a variety of techniques. Along the way, you'll learn how to translate mathematical expressions into Python code and solve some really cool problems!

What do I get?
  • Instructor videos
  • Learn by doing exercises
  • Taught by industry professionals
Icon globe e82eae5d45465aba4fbe4bb746905ce55dc3324f310b79c60e4a20089057d347

Udacity 现已提供中文版本! A Udacity tem uma página em português para você! There's a local version of Udacity for you!

前往优达学城中文网站 Ir para a página brasileira Go to Indian Site or continue to Global Site