Differential Equations In Depth

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
Requirements
Good knowledge of calculus (linear algebra, differentiation, integration)
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!
Who this course is for
College students
University students
Math enthusiasts
Homepage

https://www.udemy.com/course/differential/

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