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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.