Master differential equations with our comprehensive course covering ODEs, PDEs, numeric methods, and their applications in science using MATLAB and Maple.
This course dives into the world of differential equations! You'll learn ODEs, PDEs, and numerical solving methods, with a sprinkle of software tools like MATLAB and Maple to bring those equations to life. Ready to tackle some math magic?
An in-depth course on differential equations, covering first/second order ODEs, PDEs and numerical methods, too!
This course has everything you need to learn and understand Differential Equations. Differential equations are a class of equation that involves the use of differentials (derivatives) in their construction. Differential equations are used in many areas of science, particularly in physics, where they are used to model real-world phenomena such as the propagation of waves.
This course covers:
Ordinary differential equations (ODEs) - first and second order
Laplace Transform and Fourier Series
Partial differential equations (PDEs) - including common equations such as the Wave Equation and the Heat Conduction Equation
Numeric solutions of differential equations - e.g., Euler's Method, Runge-Kutta
Modeling and solving differential equations using MATLAB and Maple.
Course pre-requisites:
Fundamental understanging of differentiation and integration
Knowledge of common integration operations (integration by parts, integration by substitution)
Basic understanding of numerical computing (required for numerical methods)
Access and basic knowledge of common CAS packages such as MATLAB, Maple, Mathematica, etc.
This course is presented as a series of hand-written lectures where we discuss the relevant topics. I also present approaches to using CAS (Computer-aided Algebra Systems) to solving differential equations either analytically or symbolically.
It is recommended that you augment your study of differential equations on this course with a good textbook on differential equations.
This course will continue to evolve and improve based on feedback from the course participants. Please leave feedback!
Learn how to solve different types of differential equations
Discover tricks and shortcuts to find solutions quicker
Find out how to solve equations numerically as well as analytically
7 Lectures
9 Lectures
5 Lectures
8 Lectures
5 Lectures
8 Lectures
5 Lectures
1 Lectures
Dmitri is a quant, developer, book author and course author. His interests lie in software development and integration practices in the areas of computation, quantitative finance and algorithmic trading. His technological interests include C# and C++ programming as well high-performance computing using technologies such as CUDA and FPGAs. He has been a C# MVP since 2009.
not for noob because he skip steps or leave it to you to solve it or uses some software to answer.
Fast pace - good review if you had differential equations course in the past
This guy is good but the section on Exact Diff Equations was TERRIBLE! This is a hard topic for sure but I had to go to a few other sources to understand Exact DEs and when I watched the Exact DE section again I was blown away by how confusing it was purely due to the way he named his functions.
Super informative and interesting course.
I just enrolled for a quick overview but too many basic mathematical errors! This course needs rectification before releasing it openly.
it's not really a course, but a summary of techniques
so far so good
Great course.
Need to check that this guys arithmetic is right. He jumps too many steps
Your email address will not be published. Required fields are marked *
Rafael R.
it explains every how things work.