Lectures related to Radius | EPFL Graph Search

Polar Coordinates: Jacobian Matrix and Examples

Covers polar coordinates, the Jacobian matrix, and examples of calculating areas in polar coordinates.

Rolling Motion: Friction and Inclined Planes

Explores the dynamics of a rolling cylinder on inclined planes with and without slipping.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Complex Analysis: Laurent Series

Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Physics of Toboggan Jump

Covers the physics of a toboggan jump, analyzing forces, speeds, and motion equations.

Geometric Places: Symmetry and Properties

Covers geometric places, symmetry, alignment, circles, radii, diameters, and more in a plane.

Parametrized Curves in 2D

Covers the concept of parametrized curves in 2D and their properties.

Regular Curves and Constant Speed

Covers regular curves and constant speed, with examples of circles and helices.

Helical Curves: Theory and Applications

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Ball Rolling on Hemisphere

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Circular Trigonometry: Understanding Geometric Angles

Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.

Z-Transform Theory

Covers the theory of Z-transform, involving time shifts, complex derivation, convergence, scaling, accumulation, inversion, and convolution.

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Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

General Physics: Mechanics

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Python Programming Basics

Covers the basics of Python programming, focusing on flow control structures, interactive mode, script mode, and variables.

Cylinders: Pressure and Geometry

Explores the equilibrium of cylindrical pressure vessels and the parametrization of cylindrical surfaces.

Analytical Geometry: Circles and Planes

Explores equations of circles, tangents, and planes in analytical geometry.

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.