Le Catalog

Oh la... I have not updated this blog in a while :( I got my grades finally after so much drama around the grade for MAE143A. I got for both classes A-. 

I am now taking

MAE101B-Advanced Fluid Mechanics

MAE143B-Linear Controls

Numerical Differentiation:

Forward approximation

Backward approximation

Central approximation

Note: Forward difference

Numerical Integration:

Rectangle

Trapezoid

Simpson's rule (1/3) (Lagrange interpolation)

Legendre-Gauss quadrature

Numerically solving ODE:

Explicit Euler

Implicit Euler (Unconditionally stable)

Crank Nicholson (Unconditionally stable)

Runge-Kutta 2

How to find roots of f(x)=0

             --> f(x)=Ax - b, if A is an invertible matrix (x=inv(A)*b):

                        --> Gauss elimination

                        --> Iterative methods : -> Jacobi (S is a diagonal matrix of A)

                                                               -> Gauss-Seidel (S is a triangular matrix of A)

             --> if non-linear equation(s):

                        --> Newton's method

                        --> Higher dimension Newton's method (know how to compute the Jacobian and how to write Matlab iteration!)

If function is not given, you are not screwed. You just have to get some values of f(x)!

           --> Estimation:  -> Least-square method (curve fitting) (remember the    pseudo-inverse!!!)

                                     -> Polynomial interpolation-->Lagrange 

                                     -> Taylor series

Monday: Homework 2 for MAE107 complete and turned in :) Exam went well [ :) ]^2. Finished HW1 for signals!

I learned about Laplace and Z transform!