Udemy - Differential Equations with the Math Sorcerer

What you'll learn
Determining the Type and Order of a Differential Equation
Determining whether a Differential Equation is Linear or Nonlinear
Understand the Different Types of Solutions of Differential Equations: one-parameter families, two-parameter families, singular solutions, general solutions
Understand Initial Value Problems and the Interval of Definition
How to Solve Separable Differential Equations, First Order Linear, Exact, Homogeneous, Bernoulli, and DE's of the form dy/dx = f(Ax + By + C)
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Prove Functions are Linearly Independent using the Wronskian
How to Solve Higher Order Linear Homogeneous Differential Equations with Constant Coefficients
How to Solve DE's with the Method of Undetermined Coefficients(The Superposition Principle)
How to Solve DE's with Variation of Parameters
How to Solve Cauchy-Euler Differential Equations
How to Compute Laplace Transforms with the Definition
How to Compute Laplace Transforms and Inverse Laplace Transforms with Tables, Partial Fractions, and Trigonometric Identities
How to use the First Translation Theorem to Compute Laplace Transforms
How to use the Derivatives of Transforms Theorems
How to Solve DE's using Laplace Transforms
Understand what the Unit Step Function is and use it to Find the Laplace Transform of a Piecewise Function
Understand what the Dirac Delta Function is
How to use the Second Translation Theorem to compute Laplace Transforms and Inverse Laplace Transforms
How to Solve DE's that involve the Dirac Delta Function
How to Find the Minimum Radius of Convergence
How to Solve DE's using Power Series
Requirements
You should know basic calculus.
The ability to integrate well helps, but all integration techniques are reviewed in the problems.
Description
This is a complete college level course in Differential Equations with TONS of examples.
*** In order to get the most out of the course you should know Calculus ***
Basically just,
1) Watch the videos, and try to follow along. Try to do the problems before I do them if you can. If you can't, no big deal:)
2) After each section there is short assignment(with solutions).
3) Repeat!
If you finish even 50% of this course you will know A LOT of Differential Equations and more importantly just a lot of really solid mathematics.
Differential Equations is an awesome class not just because of the differential equations but because of all of the other key math techniques you learn in the process.
I hope you enjoy watching these videos and working through these problems as much as I have:)
Who this course is for:
Students who want to learn Differential Equations.
Students who plan to take Differential Equations.
Students currently taking Differential Equations.

Homepage

https://www.udemy.com/course/differential-equations-with-the-math-sorcerer/