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Differential Equations In Depth (Udemy.com)

An in-depth course on differential equations, covering first/second order ODEs, PDEs and numerical methods, too!

Created by: Dmitri Nesteruk

Last updated July 2017

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What you will learn

  • 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
  • Learn to use MATLAB to solve differential equations

How it compares

Against the other 127 rated Udemy courses in Math on CourseDuck:

  • Rating4.5 out of 5higher than 25% of them
  • Reviews234#64 of 128 by number of reviews
  • Length3.3 hoursshorter than 81% of them
  • Last updatedJuly 2017earlier than 93% of them

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Course Description

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!

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Instructor Details

Dmitri Nesteruk

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. 

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Reviews

4.5

234 ratings on Udemy

Select a bar to show only those reviews.Select the bar again to show every rating.

By José Daniel Aceituno Dardon on 4/24/2020

Me ayudó a complementar ciertos conocimientos del área de ecuaciones diferenciales que estudié en la universidad.

By Alberto Rodriguez on 1/31/2019

An awesome explanation, helped me save the semester. And I learned another things I didnt even need. 10/10 would take it again

By Michael Augustine on 11/17/2018

This course has been very useful for understanding a difficult topic. I would like more computer matlab examples. The instructor should slow down the pace and perhaps organize the work better to improve understanding.

By Julio Losada Perez on 3/3/2018

Like the short well explained videos.Could improve by adding more detailed solutions rather than jumping from one block of the answer to the other assuming the viewer already knows the steps in between. Overall very good though!

By Andrew Grove on 3/2/2018

Clear communication & simply presented. However, the presenter is moving very fast and I am having to replay various slides or stop and work through them in more detail. Struggling with Laplace transforms a bit, especially in understanding the s term. The latter bit of the course was presented too fast. It felt like the Heat Conduction Equation, Wave Equation lectures did not add as much value as they could have because they were glanced over. Some problems and solutions would have been nice.

By Dale Beard on 1/18/2018

This is an overall decent course. This is not in depth for those who would like to learn differential equations in detail; however, this is a good refresher course for those who know differential equations and or need a quick refresher.

By KAI HONG LAM on 10/15/2017

the course is very precise and clear but lack of examples. it's good for revision before exam but not enough for student who is new to differential equation

By Mayank Rasu on 7/29/2017

Very well paced and thorough review of differential equations. Would have liked even better if there was a portion on application of differential equation in quantitative finance/stochastic methods.

By Franklin Monzon on 4/14/2017

This has been an amazing class! I'm taking Differential Equations soon, and it's been very helpful to see a complete map of the course beforehand!

By Martin Hewing on 2/21/2016

Great course! Very informative, excellent content and presentation, just hoping for more courses in the future.

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Overall Score : 90 / 100