Lectures and exercises "Computer Science and Mathematics"

W. Kurth / I. Kuzyakova

Summer term 2014, Tuesday, 14:15-16:00 h (FSR 1.2) and Wednesday, 10:15-12:00 h (FSR 2.7)

 

Outline of the syllabus and estimated time schedule

 

22./23. 4.

Notations from logic and set theory, relations, graph theory, functions

29./30. 4.

Numbers, powers, roots, logarithms, intervals; vectors, linear combinations, linear independence, inner product of vectors, norm, angle, cross product, linear transformations, matrices

  6./  7. 5.

Linear transformations, matrices, rank of a vector system / of a matrix, determinants, systems of linear equations, matrix product, inverse matrix

13./14. 5.

Leslie matrix, eigenvalues, eigenvectors, stochastic matrices, attractors of age classes dynamics

20./21. 5.

Basic calculus:

Sequences, limits, limit of a function, differentiation, partial derivatives, extreme values, integration

27./28. 5.

  3./  4. 6.

10./11. 6.

17./18. 6.

Basics in computer science: Introduction, representation of information, bits, bytes, measurement of information, databases, geographical information systems.

24./25. 6.

The World Wide Web; foundations of programming

  1./  2. 7.

Introduction to rule-based simulation

  8./  9. 7.

Basics in statistics: scale levels of variables, histrograms and scatterplots, measures of location, dispersion and correlation, linear regression, probability, expected value, variance.

15./16. 7.

22./23. 7.

 

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