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Lecturer(s)
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Peřinová Vlasta, prof. RNDr. DrSc.
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Course content
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1. Classification of quasilinear partial differential equations of the second order. 2. Special functions. 3. Integral equations with Hermite nucleus.
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Learning activities and teaching methods
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Lecture
- Preparation for the Exam
- 600 hours per semester
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Learning outcomes
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The lecture introduces students into equations of mathematical physics, especially to the fundamental solutions of linear differential operators and to the theory of integral equations. It acquaints the students with the elliptic, hyperbolic, and parabolic partial differential equations. It mentions the systems of first-order partial differential equations.
Knowledge. Define main notions, approaches, to be able to solve model problems.
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Prerequisites
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Basic knowledge of the undergraduate mathematics and physics.
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Assessment methods and criteria
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Oral exam
Serious knowledge of mathematics.
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Recommended literature
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Vladimirov, V.S. (1971). Equations of Mathematical Physics. Marcel Dekker, New York.
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Vladimirov, V.S. (1971). Uravnenija matematičeskoj fiziki. Nauka, Moskva.
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Zauderer, E. (1988). Partial Differential Equations of Applied Mathematics. John Wiley, Singapore.
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