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PMF2
Course: Proseminar in Mathemat. for Physicists 2
Department/Abbreviation: SLO/PMF2
Year: 2021
Guarantee: 'RNDr. Pavel Horváth, Ph.D.'
Annotation: Acquire the basic knowledge of mathematical analysis, linear algebra and geometry focused on physics applications.
Course review:
1. Linear algebra: Vectors, matrices, determinants, systems of linear equations (the Frobenius's Theorem and the Cramer's Rule).
2. Fundamentals of analytic geometry in plane and space.
3. Fundamentals of integral calculus: Indefinite integral, the Riemann integral, application in determination of curve length, area, surface and volume of a revolution solid.
4. Applications of differential and integral calculus in physics.
5. Functions of two variables: Partial derivative, differential.
6. Introduction to differential equations: First order ordinary differential equations.
7. Use of the software MATHEMATICA for selected themes - exercises.