This project for the study plan is designed on the basis of

- the recommendations made by the Faculty Council

- the current Programme

- the curriculum of other universities.

The following additional considerations have been taken into account:

- the possibility for changing the degree course studied before the beginning of the second year

- providing the three degree programmes with the necessary number of hours and fundamental knowledge.

Basic Parameters

- The number of hours of optional disciplines increases rapidly.

- The numbers of lectures and seminars may (by the student's choice) not exceed 25 hours.

- The computer practical courses finish with pass/fail marks.

- The compulsory disciplines are given in two variants A and B.

- The practical courses and courses with stars are related and it is useful, but not compulsory, to be attended together.

- Many of the optional courses are compulsory for particular degree programmes.

Limitations

- Credits for a course are equal to the number of hours. If the course is A, then 1 credit point is added. Credits for practical courses are 2.

- A student passes to the next term if

- the number of credits is not less than 25 times the number of the semester

- the number of practical courses equals the number of term.

The curriculum is designed by the following commission:

Chairman:

Assoc. Prof. D. Vandev

Members:

Assoc. Prof. J. Denev

Assoc. Prof. P. Koshlukov

Assoc. Prof. J. Mitev

Assoc. Prof. P. Nikolov

Assoc. Prof. P. Azalov

Assoc. Prof. St. Dimova

Assoc. Prof. J. Mihovski

Assoc. Prof. A. Dichev

Assoc. Prof. F. Zlatarova

The project for the curriculum is built to provide the four different degree programmes with the necessary number of hours and common fundamental knowledge. Thus, many of the optional courses are converted to compulsory courses for some of the degree programmes. Besides, the students have to select those courses, that will allow them to fulfil the governmental requirements for the number of hours for the specific degree, the faculty requirements for passing the academic year, and the requirements of each degree Programme.

In the following tables, roman figures have been used to indicate the semester recommended for attending the course and passing the exam. Some practical courses can be passed in the beginning of the semester (without compulsory attending the practical courses) if the student possesses the necessary skills and is able to prove them.

Note: The source of this file is the file TRANLAT.DOC

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Specialisation: Mathematical Economics

Major Subject: Applied Mathematics

The specialisation provides knowledge in the following areas:

• Macroeconomics and microeconomics;
• Applied Statistics;
• Insurance, Assurance. Financial and Actuarial Mathematics.

1. Mathematical Introduction to Economics - Assoc. Prof. J. Mitev;

2. Genesis of Differential Equations or Introduction to Mathematical Modelling - Assoc. Prof. I. Mihovski

3. Microeconomics;

4. Macroeconomics;

5. Finance 1 - Prof. R. Dentchev;

6. Finance 2 - Prof. R. Dentchev;

7. Telematics in Business and Management

• Statistics:

1. Statistics 2 - Assoc. Prof. D. Vandev;

2. Applied Statistics - Assoc. Prof. D. Vandev;

3. Numerical Methods in Statistics - Assoc. Prof. D. Vandev;

4. Temporary Series - Assoc. Prof. P.Maister, G. Boshnakov, G. Ianev;

• Economics:

1. Theory of the Economic Equilibrium;

2. Foundations of Management;

3. Mathematical Economics - Assoc. Prof. P. Georgiev;

• Computer Science:

1. Expert Systems;

• Insurance and Financial Mathematics:

1. Financial Programming;

2. Financial Markets - Prof. P. Dentchev, Asst.Prof. L. Minkova;

3. Life Insurance - N. Ilieva;

4. Property Insurance - N. Ilieva.

Specialisation: Applied Statistics

Department: Probability and Statistics

Major subject: Applied Mathematics, Computer Science

The specialisation provides knowledge in the following areas:

• Probability Models and Temporary Series;
• Statistics. Numerical Methods in Statistics;
• Insurance , Assurance. Financial and Actuarial Mathematics.

Before attending to the specialisation the students have to acquired the following:

• knowledge in Probability and Mathematical Statistics (good grades);
• skills (and willing) to use computers for programming, data processing and word processing;
• English - reading skills.

1. Stochastic Processes - Assoc. Prof. P. Maister, Assoc. Prof. T. Ignatov;

2. Statistics 2 - Assoc. Prof. D. Vandev, Assoc. Prof. T. Ignatov;

3. Applied Statistics - Assoc. Prof. D. Vandev;

4. Systems for Statistical Calculations - Asst. D. Nitcheva.

• Statistics:

1. Numerical Methods in Statistics - Assoc. Prof. D. Vandev;

2. Experiment Planning - N. Neikov, Assoc. Prof. D. Vandev;

3. Robust Statistics - N. Neikov, Assoc. Prof. D. Vandev;

4. Time Series - Assoc. Prof. P. Maister, G. Boshnakov, G. Ianev;

• Financial Mathematics:

1. Life Insurance - N. Ilieva;

2. Property Insurance - N. Ilieva;

3. Financial Markets - Prof. P. Dentchev, Asst.Prof. L. Minkova;

4. Financial Programming;

• Probability and Stochastic Processes:

1. Probability 2 - Assoc. Prof. T. Ignatov;

2. Dividing Processes - Prof. N. Ianev, G. Ianev, Assoc. Prof. P. Maister;

3. Measure Theory - Assoc. Prof. D. Vandev;

4. Sums of Independent Random Variables - E. Pantcheva;

5. Introduction to the Theory of Information - P. Mateev.

Specialisation: Mechanics

Department: Analytical Mechanics and Continuum Mechanics

Major subject: Applied Mathematics, Mathematics

1. Motion Stability and Control;

2. Differential-Geometric Methods in Mechanics;

3. Variation Methods in Mechanics;

4. Elasticity Theory;

5. Hydrodynamics;

6. Plasticity and Flow Theory;

7. Experimental Methods in Mechanics (with Practicals).

• for the Department of Analytical Mechanics:

1. Dynamics of Rigid-Body Systems;

2. Oscillation Theory;

3. Manageable Non-Linear Systems;

3. MATLAB Programming;

4. Bifurcation of Non-linear Systems;

• for the Department of Continuum Mechanics

1. Mathematical Methods in Mechanics;

2. Hydrodynamics of Small Reynolds Numbers;

3. Fracture Mechanics;

4. Mechanics of Composite Materials;

5. Stability of Deformable Bodies;

6. Dynamics of Deformable Bodies

Code Description

A	Groups, rings and fields, polynomials.
P2	Theorems of Carateodory and Kolmogorov, double log law.
AG	Analytic and projective geometry, second degree curves and surfaces, groups of transformations.
GDE	Genesis of ordinary and partial differential equations.
DM	Discrete objects, Combinatorics, graphs, formal languages and grammars, binary functions.
DG	Geodesic lines, divergence, conform transformation.
DEMP	Linear second-order partial differential equations, potential and integral equations, Sturm-Liouville's problem.
EAPC	Parallel algorithms and architectures, realisation in linear algebra.
EFA	Linear, normable and Hilbert spaces, linear operators, spectre.
Ins1	Mathematical models in property and personal insurance, group and individual risk.
Ins2	Bankruptcy and usefulness theory, life tables, net premiums.
LA	Lebesgue integral, Lp , derivatives.
CA	Cauchy's theorem and formula, the residue theorem.
LAAG	Complex numbers, matrices and determinants, linear spaces and operators, Euclidean spaces, polynomials, canonising of linear operators.
MC	Markov chains - state classes, boundary theorems.
DIC1	Sequence and series convergence, derivatives.
DIC2	Integration of functions of one variable, differential calculus of functions of several variables.
MA	Functional series, integration of functions of several variables, metric spaces.
MacE	International commerce, dynamic models, obligations, fiscal and monetary politics, aggregate supply and demand, inflation.
M	Mathematical modelling of the behaviour of discrete systems of absolutely rigid bodies of the continuum - fluids and deformable-rigid bodies.
ML1	Propositional and predicate calculus, resolution, fullness, unification.
MFBE	Algorithmic bases of the methods of finite and boundary elements.
MicE	Supply and demand, taxes, cross prices, elasticity, economic rent, optimisation, effectiveness, monopoly.
MO	Convex analysis, numerical methods for extreme problems.
CM	Tensor analysis, fluids and rigid bodies mechanics.
MMPh	Thermodynamics, static mechanics, electrodynamics, quantum mechanics.
MS	Point estimates, hypotheses, credible intervals, procedures.
MIE	Supply, consumption, prices and elasticity, competitive behaviour.
OS	UNIX, DOS, WIN NT, shells, programming in OS.
OS*	DOS, UNIX, commands, shell programming, system calling.
Of S*	Office-systems - WINDOWS, WORD, EXCEL.
DE	Ordinary differential equations and linear systems, critical points, stability.
AA	Finite fields and polynomials, combinatorics, coding theory.
ADEB	Modelling in biology, theoretical and numerical analysis.
AS	Applied statistics and data analysis.
........	Function approximation, numerical differentiation and integration, numerical analysis in algebra.
S2	Sufficient statistics, experiments, families, risk functions.
DSP	Recursion, dynamic memory, stack, queue, linear list, binary tree, input -output.
DSP*	Recursive subprograms, data structures realisation , input-output (Pascal, FORTRAN).
SM	The 'Mathematica' systems, Maple for symbol transformations.
SP	Stationary processes.
SMM	Invariant partial differential equations, automodel and invariant solutions.
NMSSE	Numerical methods for special systems of equations, the difference method and the method of boundary elements.
SSC*	System 'Statistica' for statistics and data analysis.
SFA	Application of B-, natural, perfect, periodic and mono - splines to the numerical evaluating of differential and integral equations.
SNC	Numerical calculus systems - MATLAB, GAUSS.
AT	Best approximations of functions, modulus and K-functionals.
P	Combinatorics, probability, the law of large numbers, the central limit theorem, .......
TE	Internet, WWW, integrated working environment.
TDS	Theory of difference schemes for mathematical physics equations.
TeX	Mathematical typesetting (TeX, LaTeX).
IT	Entropy, information theory, complexity, coding.
WA	Wavelet construction, characteristics and applications.
MI	Measure units, dimension theory, data analysis.
IP	Computer architecture, software architecture, algorithmic languages, types of objects, management, arrays and subroutines.
IP*	DOS, basic commands, editors, programming environment, linear programs, conditions, cycles, arrays and subroutines (Pascal, FORTRAN).
F1	Bank instruments, profitableness, static theory of the purse.
F2	Risk mathematical models, dynamic theory, options, forwards, futures, swaps, financial engineering.
FP	Long-term budget construction.
DS	Basic ideas of the chaotic dynamics.
NA	Numerical approximation of functions and functionals.
NMA	Numerical methods for linear algebra, solving of non-linear equations and systems.
NDE	Numerical methods for differential equations, Cauchy's problem (one- and multi-staged methods), boundary problem (difference and variation methods).
NMS	Large data arrays, sorting and quantiles. Lost values. 'Sweeping' algorithm.
NMDE	Numerical methods for solving of ordinary and partial differential equations.
NPDE	Difference methods and the method of boundary elements for elliptic, parabolic and hyperbolic equations and systems.
MSC	Stability and optimal control theory.
HD	Modelling methods of gas and liquid flows and flows past a rigid body.
ET	Classical and contemporary models of invertibly deformable rigid bodies processes.
DGMM	Bases of simplex geometry and abstract Hamilton formalism.
PFT	Basic models of non-invertible deformation of rigid bodies in case of progressive (plasticity) and constant in time (flow) compression.
VMM	Discrete and continuous systems in the variation calculus - character and applications to mechanics.
EMM	Application and practical demonstrations of physical phenomena in experimental techniques for exploring the mechanical characteristics and behaviour of real bodies.
MPEO	Computing geometry elements, active objects, wave algorithms for motion planning , morphologic operations, examples of solving the problem of planning the motion with neural network systems.