Lectures related to Untitled | EPFL Graph Search

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

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

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

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.

Covers the concept of continuity, providing examples and definitions of continuous functions.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers ordinary linear homogeneous differential equations, focusing on the harmonic oscillator equation and its solutions.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Covers expressing sums and products using trigonometric functions step by step.

Covers the introduction and operations of complex numbers in physics and engineering applications.

Explores differentiability, limits, and open sets in multivariable functions, with a focus on local minimums and continuity.

Covers the definition and examples of limits at a point in calculus.