Lectures and exercises "Computer Science and Mathematics"

W. Kurth / I. Kuzyakova / A. Tavkhelidze

Summer term 2018

 

Outline of the syllabus and estimated time schedule

 

 

25 and 27 April, 2018

(Kurth)

Basics in Computer Science:

Introduction, number systems, representation of information, bits, bytes, measurement of information, databases, geographical information systems, the World Wide Web, foundations of programming, introduction to rule-based simulation

 

2 May - 5 June, 2018

(Tavkhelidze)

Basics in set theory and linear algebra:

Notations from logic and set theory, relations, graph theory, functions, number sets, powers, roots, logarithms, intervals, vectors, linear combinations, linear independencs, inner product of vectors, norm, angle, cross product, linear transformations, matrices, rank of a vector system / of a matrix, determinants, systems of linear equations, matrix product, inverse matrix, Leslie matrix of a population, eigenvalues, eigenvectors, stochastic matrices, attractors of age class dynamics of populations

 

6 June - 10 July, 2018

(Kuzyakova)

Basic calculus:

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

 

 

 

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