Lectures and exercises "Computer Science and Mathematics"

W. Kurth / I. Kuzyakova

Summer term 2015, 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

 

14./15. 4.

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

21./22. 4.

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

28./29. 4.

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

  5./ 6. 5.

Basic calculus:

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

12./13. 5.

19./20. 5.

26./27. 5.

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

  2./ 3. 6.

Basic calculus: Integration

  9./10. 6.

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

16./17. 6.

The World Wide Web; foundations of programming

23./24. 6.

Introduction to rule-based simulation

30. 6./1. 7.

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

  7./ 8. 7.

14./15. 7.

 

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