Brief Introduction
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!Course Summary
Learn how to solve real-world problems using differential equations with this course. Gain practical skills in modeling and simulation that can be applied to a wide range of industries and fields.Key Learning Points
- Discover the power of using differential equations to solve complex problems
- Learn how to model real-world phenomena using mathematical equations
- Gain practical skills in simulation and numerical methods
Job Positions & Salaries of people who have taken this course might have
- USA: $113,000
- India: ₹1,075,000
- Spain: €37,000
- USA: $113,000
- India: ₹1,075,000
- Spain: €37,000
- USA: $100,000
- India: ₹900,000
- Spain: €32,000
- USA: $113,000
- India: ₹1,075,000
- Spain: €37,000
- USA: $100,000
- India: ₹900,000
- Spain: €32,000
- USA: $90,000
- India: ₹800,000
- Spain: €28,000
Related Topics for further study
- Differential Equations
- Modeling and Simulation
- Numerical Methods
- Real-World Applications
- Mathematical Modeling
Learning Outcomes
- Understand the power of differential equations in solving real-world problems
- Gain practical skills in modeling and simulation
- Learn how to apply numerical methods to solve complex problems
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of calculus
- Familiarity with linear algebra
Course Difficulty Level
IntermediateCourse Format
- Self-paced
- Online
- Video lectures
- Hands-on projects
Similar Courses
- Partial Differential Equations
- Mathematical Modeling
Related Education Paths
Notable People in This Field
- Dr. Steven Strogatz
- Dr. Edward Lorenz
Related Books
Description
Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!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.
Knowledge
- Instructor videosLearn by doing exercisesTaught by industry professionals
Outline
- 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 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.
Summary of User Reviews
Read reviews for the Differential Equations in Action course on Udacity. Users have praised the course for its comprehensive coverage of differential equations, practical examples, and engaging instruction. Overall, the course has received high ratings from users.Key Aspect Users Liked About This Course
Many users have highlighted the practical examples used in the course, which help to reinforce the concepts covered.Pros from User Reviews
- Comprehensive coverage of differential equations
- Practical examples to reinforce concepts
- Engaging instruction
- Flexible learning options
- Good value for the price
Cons from User Reviews
- Some users found the pace of the course to be too fast
- Not enough emphasis on advanced topics
- Lack of interaction with instructors
- Limited opportunities for hands-on practice
- Course materials can be overly technical at times
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