Topics:

• Equations, functions, mappings
• Polynomials, rational functions, trigonometric functions, exponential and logarithmic functions
• Sequences, continuity
• The derivative and its applications

Topics:

• The integral and its applications
• Curves and line integrals
• Calculus in multiple variables

• Numbers and Proofs
• Complex Numbers
• Vectors and Matrices
• Systems of linear Equations
• Matrices and LU factorization
• Determinants
• Lineare Structures
• Linear Mappings
• Applications

Find the complete lecture notes for this class in either french or german in the PFD format. A short summary of the content of the class is given in overview .

Topics:

• Ordinary differential equations, the basics
• Laplace transform, the basics
• Applications of the Laplace transform
• Ordinary differential equations, numerical approches and systems of equations

Find the current version of the lecture notes for this class as a PFD file.

Fourier Methods

Topics:

• Fourier series, the basics, real and complex notation,
• Properties, convolution
• DFT, FFT, windowing
• Applications, boundary value problems
• Fourier transform, basics and applications

Find the current version of the lecture notes for this class as a PFD file.

Applied Statistics

The course is using the lectures notes by Prof. Roger Filliger, available as PDF: Angewandte Statistik.

Throughout the class Octave and/or Matlab will be used. You will need a laptop with a working copy of Octave or Matlab. For Matlab you will need the Statistics Toolbox and for Octave the package Statistics. Since there are (too) many commands I created a short document with the commands useful for statistics, available at Statistics with Matlab/Octave. This document will be updated during the semester.

Many data sets will be used to test the results and apply the algorithms. Find the data files and sample codes in the directory Data_Files.

• Analysis 1: Analysis1_1_HS05 , Analysis1_1_HS08 , Analysis1_2_HS05 , Analysis1_2_HS08
• Analysis 2: Analysis2_FS06, Analysis2_FS09, Analysis2_FS10
• Linear Algebra and Geometry 1: LinAlg1_HS07
• Mathematics 1: Math1_HS06, Math1_HS08, Math1_HS10, Math1_HS15, Math1_HS16, Math1_HS17
• Fourier Methods: Math2_FS07, Math2_FS09, Math2_FS11, Math2_FS12, Math2_FS13, Math2_FS15, Math2_FS16, Math2_FS17
• Statistics: Statistics_FS16, Statistics_FS17

• Analysis
  1. Anal96-1 , Anal97-1 , Anal99-1 , Anal00-1 , Anal01-1 , Anal02-1 , Anal03-1 , Anal04-1
  2. Anal96-2 , Anal99-2 , Anal00-2 , Anal01-2 , Anal02-2 , Anal03-2 , Anal04-2
  3. Anal97-3 , Anal96-3 , Anal00-3 , Anal01-3 , Anal02-3 , Anal03-3
  4. Anal96-4 , Anal00-4 , Anal01-4 , Anal02-4 , Anal03-4
  5. Anal96-VD , Anal97-VD , Anal00-VD , Anal01-VD , Anal02-VD , Anal03-VD
• Linear Algebra and Geometry
  1. LinAlg96-1 , LinAlg97-1 , LinAlg00-1 , LinAlg03-1
  2. LinAlg96-2 , LinAlg97-2 , LinAlg00-2 , LinAlg03-2
  3. LinAlg97-3 , LinAlg00-3 , LinAlg03-3
  4. LinAlg96-4 , LinAlg97-4 , LinAlg00-4
  5. LinAlg96-VD , LinAlg97-VD
• Mathematics, second year
  1. F2-97-1 , M2-99-1 , F2-00-1 , F2-01-1 , F2-02-1 , F2-03-1 , F2-04-1 , F2-05-1
  2. F2-97-2 , M2-99-2 , F2-00-2 , F2-01-2 , F2-02-2 , F2-03-2 , F2-04-2 , F2-05-2
  3. M2-99-3 , F2-99-3 , F2-00-3 , F2-01-3 , F2-02-3 , F2-03-3 , F2-04-3 , F2-05-3
  4. M2-99-4 , F2-99-4 , F2-00-4 , F2-01-4 , F2-02-4 , F2-03-4 , F2-04-4 , F2-05-4
  5. M2-99-VD , F2-99-VD , F2-00-VD , F2-01-VD , F2-02-VD , F2-03-VD , F2-04-VD

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October 20, 2002 by Andreas.Stahel@bfh.ch