Geodesics and Surface Area

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Related lectures (31)

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Derivation of Boundary Conditions

Covers the derivation of boundary conditions for total energy in bending and stretching of plates.

Surface of Revolution

Covers calculating surface areas of rotated curves using integrals and parameters.

Bounding the Poisson bracket invariant on surfaces

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Surface Integrals: Regular Parametrization

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Thermal Radiation: Power Balance in Illuminated Rectangular Prism

Focuses on finding the temperature of an illuminated rectangular prism using intensity and power formulas.

Spherically Symmetric Metrics

Explores spherically symmetric metrics in flat space and their implications in gravity and spacetime.

Quantum Mechanics: Path Integral Representation

Covers the path integral representation in quantum mechanics and the dynamics of systems described by Lagrangian.

Integral Applications: Revolution Surfaces

Explores calculating surface areas of revolution using integrals and Riemann sums.

Derivation of Boundary Conditions in Mechanics of Slender Structures

Covers the derivation of boundary conditions in mechanics of slender structures, focusing on total energy variation and equilibrium equations.

Calculus Applications: Lengths and Surfaces of Revolution

Discusses the applications of calculus in calculating lengths and surfaces of revolution, emphasizing integral calculus and geometric interpretations.