|
(A)
+ Recapitulation of Basic Requirements
+ Notation, Textbooks, Formularies, Calculators + PC Programs
(B) ALGEBRA
+ Complex Numbers
+ Vectors + Matrices in N-Dimensions
+ Linear Systems of Equations
+ Eigenvalues and Eigenvectors
+ Scalar Product + Vector Product
(C) CALCULUS I: FUNCTIONS DEPENDING ON ONE VARIABLE
+ Recapitulation: Derivatives + Integrals
+ Sequences + Series
+ Taylor Series + Fourier Series
+ Important Non-Elementary Functions (Error Function etc.)
(D) CALCULUS II: N-DIMENSIONAL SPACE
+ Functions Depending on More Than One Variable
+ Partial Derivatives, Derivatives in Certain Directions
+ Total Derivatives
+ Minimization Problems in N-Dimensions
+ Simple N-Dimensional Integrals
(E) NUMERICAL METHODS
+ Searching for Zeros and Extreme Values of Functions
+ Newtons Algorithm
+ Gradient Methods for Minimization
+ Numerical Integration
|