Lectures and exercises "Computer Science and Mathematics"

W. Kurth / A. Tavkhelidze

Summer term 2019, Tuesday, 14:15-16:00 h, and Wednesday, 10:15-12:00 h (FSR 1.2)

 

Outline of the syllabus and estimated time schedule

 

16./17. 4.

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

23./24. 4.

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

      30. 4.

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

  7. / 8. 5.

Determinants, systems of linear equations, matrix product, inverse matrix

14./15. 5.

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

21./22. 5.

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

28./29. 5.

Databases, geographical information systems; the World Wide Web

  4./ 5. 6.

Foundations of programming (1)

11./12. 6.

Foundations of programming (2)

18./19. 6.

Introduction to rule-based simulation

25./26. 6.

Basic calculus:

Sequences, limits, limit of a function,

differentiation, partial derivatives, extreme values,

integration

  2./ 3. 7.

  9./10. 7.

16./17. 7.

 

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