Stochastic and Deterministic Systems,
Qualitative Theory of Differential Equations,
Department of Mathematics aims to:
Department of Mathematics boasts highly-qualified and experienced faculty members who studied at prominent universities and have published numerous books and articles in their field of expertise. The education offered to students is supported by extensive research facilities such as technical equipment, highly-developed computer laboratories, Internet and rich library resources. Our department has adopted a system enabling effective student-academic staff communication. Students are provided with a comfortable environment whenever they wish to discuss their problems with academic staff. Additionally, students of the Mathematics and Computer Sciences Department may complete a minor program by taking three compulsory and three elective courses from the Economics and Finance Departments. Upon their successful completion of the aforementioned courses, students receive a Minor Program Certificate in the fields of Managerial Economics and Financial Management.
Department of Mathematics offers 2 undergraduate programs in the fields of Applied Mathematics and Computer Sciences, and Mathematics and a total of 5 postgraduate programs in the fields of Applied Mathematics and Computer Sciences, and Mathematics and Information Systems.
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Limits and continuity. Derivatives. Rules of differentiation. Higher order derivatives. Chain rule. Related rates. Rolle's and the mean value theorem. Critical Points. Asymptotes. Curve sketching. Integrals. Fundamental Theorem. Techniques of integration. Definite integrals. Application to geometry and science. Indeterminate forms. L'Hospital's Rule. Improper integrals. Infinite series. Geometric series. Power series. Taylor series and binomial series.
Vectors in R3. Lines and Planes. Functions of several variables. Limit and continuity. Partial differentiation. Chain rule. Tangent plane. Critical Points. Global and local extrema. Lagrange multipliers. Directional derivative. Gradient, Divergence and Curl. Multiple integrals with applications. Triple integrals with applications. Triple integral in cylindrical and spherical coordinates. Line, surface and volume integrals. Independence of path. Green's Theorem. Conservative vector fields. Divergence Theorem. Stokes' Theorem.