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During my work at the Technical University of Varna
and Varna Free University I have taught undergraduate
courses in mathematics and statistics from 1990 to 1999
for engineering and economic students
(1st and 2nd university school year):
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Computational Methods for Engineers;
representation of real numbers on computers,
methods (iterative and exact) for solving system
of linear equations, interpolation,
least square method, cubic splines,
nonlinear equations, numerical integration,
ordinary and partial differential equations;
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Basic Course in Mathematics:
arrays and determinants,
systems of linear equations and inequalities, vectors,
coordinate systems, straight lines, simplex method of
the linear programming problem, basics of calculus,
differential and integral calculus
of a function of one variable, function of two variables;
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Calculus I and Calculus II:
introduction to calculus, differential and integral
calculus of functions of one variable, differential
and integral calculus of functions of many variables,
differential geometry,
ordinary differential equations, vector calculus,
line integrals, surface integrals, divergence,
flux, curl, the divergence theorem,
Green's theorem, Stokes' theorem;
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Selected Topics in Mathematics:
functions of a complex variable,
Fourier analysis, Laplace transform calculus,
partial differential equations,
probability theory, statistics;
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Statistics:
probability theory, random variables,
tests and analysis of variance,
regression and correlation analysis;
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High School Mathematics:
Euclidean geometry, trigonometry, algebra,
optional preparation in mathematics, math club.
My teaching load consisted approximately of 400 hours yearly.
The number of students in these courses varied
between 20 and 110 students:
I was also involved in the Math Summer Seminar 2003 organized by
Prof. Andy Liu from the University of Alberta, Edmonton,
which was intended for high school students interested in the
Canadian Mathematical Olympiad Correspondence Program.
Last Updated:
March 17, 2004
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