Lectures and exercises "Computer Science and Mathematics"

W. Kurth / I. Kuzyakova

Summer term 2017, 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

 

11./12. 4.

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

18./19. 4.

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

25./26. 4.

Cross product, linear transformations, matrices, rank of a vector system / of a matrix, determinants

  2. / 3. 5.

Systems of linear equations, matrix product, inverse matrix; Leslie matrix

  9./10. 5.

Eigenvalues, eigenvectors, stochastic matrices, attractors of age classes dynamics

16./17. 5.

Basics in computer science: Introduction, representation of information, bits, bytes, measurement of information

23./24. 5.

Databases, geographical information systems; the World Wide Web

30./31. 5.

Foundations of programming (1)

  6. / 7. 6.

Foundations of programming (2)

13./14. 6.

Introduction to rule-based simulation

20./21. 6.

Basic calculus:

Sequences, limits, limit of a function,

differentiation, partial derivatives, extreme values,

integration

27./28. 6.

  4. / 5. 7.

11./12. 7.

 

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