Solutions of DE's with Discontinuous nonhomogeneous terms & Laplace transform solutions of linear systems

Basic properties of the Laplace transform (cont.) & the inverse transform

Laplace transforms of step functions & inverse transforms of functions of the form e^(as)F(s)

Integral equations & Laplace transform solution of linear DE's with constant coefficients

Basic properties of the Laplace transform

The inverse transform and the convolution

Bessel's equation and Bessel functions (cont.) & Definition of the Laplace transform

The method of Frobenius (cont.) & Bessel's equation and Bessel functions

The DE of the vibrations of a mass on a spring (cont.), free undamped motion & free damped motion

Free damped motion (cont.) & final exam review

Laplace transform solutions of linear systems (cont.) & the DE of the vibrations of a mass on a spring

Power series solutions about an ordinary point

Variation of parameters & the Cauchy-Euler equation

The method of undetermined coefficients & variation of parameters

The homogeneous linear equation with constant coefficients & the method of undetermined coefficients

The homogeneous equation (cont.) & reduction of order

Reduction of order, the nonhomogeneous equation & homogeneous linear equation with constant coefficients

Definition & basic existence theorem for linear DE's and the homogeneous equation

Problems in Mechanics & rate problems

Solutions about singular points & the method of Frobenius

I needed a simple and clear introductory explanation for dummies of what differential equations are.   I have only seen the 1 st lecture, but it is exactly what I was looking for.  I like his unassuming lecture style.   He explains everything in its most basic terms, and still maintains the integrity of the subject.
  
As for his personality, I think he is funny.    He just tells it like it is.
Anyone that takes offense to his aside comments is way too thin skinned.  This isn&#39;t group therapy , it&#39;s math.

Clear, concise, and direct

Someone said he was a jerk, and while he can be one, this is irrelevant. The quality of his lectures is very good and he explains the concepts very well. Why would someone focus on his personality, when it has no connection to his ability. I actually think he&#39;s kind of goofy, but not in a mean way. He expects the students to be on time, bring the book, pay attention actively, and expects that what he says is not lost on deaf ears. What&#39;s wrong with that? He goes to great lengths to explain all the material and I found it clear and much better than my current class on the same subject. I therefore understand that sometimes he may get frustrated. I personally am sick of students (and people) who expect constant cuddling and hand holding. This is an advanced class, and like he said, not required to graduate, so he expects students who love math and are pretty advanced. The lectures are great, and I fully recommend them to anyone taking this subject.

He may be a tad douchey

Differential Equations

Exact DE's (cont.) & separable differential equations

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