Bijles Wiskunde HBO en Universiteit

Calculus

  • Function and Limits
  • Derivatives and Partial Derivatives
  • Integrals and Multiple Integrals
  • Sequences and Series
  • Power Series
  • Taylor Series and Maclaurin Series
  • Vector Functions
  • Line Integrals and Surface Integrals
  • Green’s Theorem, Stokes’ Theorem, Divergence Theorem
  • Differential Equations
  • Non-Linear Differential Equations
  • Series Solution for Differential Equations
  • Difference Equations
  • Variation of Variables
  • Principle of Mathematical Induction


 
 

Linear Algebra

  • Vectors, Lines, Planes, Volumes
  • Dot Product and Cross Product
  • Matrix Operations and Matrix Algebra
  • Inverse of a Matrix
  • Eigenvectors and Eigenvalues, Diagonalization
  • Gram-Schmidt Process
  • LU, LDU, and QR Factorization
  • Singular Value Decomposition

 
 

Complex Function Theory

  • Complex Numbers, Complex Integrals
  • Laplace Transform in Complex Plane
  • Fourier Transform in Complex Plane
  • Residue of the Complex Function
  • Laurent Series for Complex Function
  • Taylor Series for Complex Function
  • Contour Integration