Předmět Matematics 4 (KMA / WMAT4)

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Materiál	Typ	Datum	Počet stažení

Obsah

1. Riemann integral of functions of two and three variables, properties of integrals.2. Integrable functions, integrability criteria.3. Methods of calculating the integral: Fubini's theorem, theorem of transformation.4. Geometric and physical applications.5. Partial differential equations of the 2nd order: elliptic, hyperbolic and parabolic.6. Heat conduction equation.7. Vibrations of strings.8. Wave equation.

Získané způsobilosti

Studentunderstands the concepts and characteristics of the integral of bounded function over a bounded set knows the properties of integrable functions knows the basic methods of integration (Fubini's theorem, the integral transformation) acquires the ability to use these methods to integrate functions of two and three variables acquires knowledge of geometrical and physical applications of the integral and develops the ability to use it to solve specific problems he/she has a good knowledge of the concepts of a curve and multidimensional surface and their parametrization knows the basic operations with differential forms knows the curve and surface integrals of the first kind and their calculation knows Stokes theorems and can use themhe/she has a good knowledge of applications and flat and curvilinear integral in geometry and physics, acquires the ability to solve geometrical and physical problems acquires the ability to study and orientate in relevant technical literature develops knowledge of basic computer techniques in the field and their use

Literatura

O.Krupková. Matematická analýza 4 Integrální počet. učební text OU, Ostrava, 2006. Sikorski, R. Diferenciální a integrální počet funkcí více proměnných. Academia Praha, 1973. Kluvánek,I., Mišík,L., Švec,M. Matematika I. a II. SVTL Bratislava, 1959. REKTORYS, K. Přehled užité matematiky, SNTL, Praha 1981. Anton, H. Multivariable calculus. John Wiley and Sons, 1992.

Požadavky

Interm monitoring: 3 tests during the seminar Students have the right to retake the test once. The overall grade is calculated by taking three best scores from four tests.If the student gains mark "excellent" or "very good" from the test written in the seminar he/she has the right not to take a final written examination and the grade is recognized as the final grade.Course completion: written examination. The evaluation of the course including the classification is carried out in accordance with the Study and Examination Regulations OU.

Garant

prof. RNDr. Olga Rossi, DrSc.

Vyučující

doc. RNDr. Ladislav Mišík, CSc.prof. RNDr. Olga Rossi, DrSc.RNDr. Radka Malíková, Ph.D.doc. RNDr. Ladislav Mišík, CSc.