1. Learn differential calculus in 10 minutes
2. Roadmap and Overview  
3. Constant factor rule
4. Sum rule
5. Product rule
6. Quotient rule
7. Chain rule (proof)
  
Laplace Transform
Learn Laplace Transform and ODE in 20 minutes

Theorems:
First shifting theorem (Dr.Tisdell)  Frequency shifting
Second shifting theorem (Dr. Tisdell)   Time shifting
Convolution (Prof.Strang, MIT)

Piecewise defined functions
Example (MathisPower4you)
Example (BlackPenRedPen)   

Laplace Transform and ODE :
1.Order (Prof.Gilbert Strang, MIT)
1.Order (Dr. Chris Tisdell)
2.Order homogenus (blackpenredpen)
2.Order non-homogenus (blackpenredpen)
ODE with the Delta-Function (Prof. Gilbert Strang MIT)
ODE with discontinuous inputs (Prof. Mattuck, MIT)

Laplace Transform and PDE :
Laplace Transform und PDE (Dr. Tisdell)
Laplace Transform und PDE (Dr. Tisdell)
Laplace Transform und PDE (Prof. Brunton)

Laplace Transform Theory 1:
Laplace Transform of the function "f(t)=1"
Laplace Transform of the sine (Method 1)
Laplace Transform of the sine (Method 2)

Laplace Transform Theory 2:
Where does the Laplace transform come from - 1  (MIT, Prof. Mattuk)
Where does the Laplace transform come from - 2 (MIT, Prof. Mattuk)


Vectors:
Angle between two vectors: