Genre: eLearning | MP4 | Video: h264, 1280x720 | Audio: aac, 48000 Hz
Language: English | SRT | Size: 5.15 GB | Duration: 11h 4m

You should know basic calculus.

What you'll learn

Deteing the Type and Order of a Differential Equation

Deteing 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 Detee 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 Undeteed 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

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.



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