Lectures related to Untitled | EPFL Graph Search

Explores the limit of the quotient for sequences and the periodicity of functions.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores finding the equation of the tangent line to a function's graph at a point.

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

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Covers the integration of limit expansions and continuous functions by pieces.

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

Introduces Fourier series, explaining their approximation properties and convergence, along with the Dirichlet theorem and coefficient computation.

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.

Explores neural networks, activation functions, backpropagation, and PyTorch implementation.

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

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

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

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Covers the limited development of integration and methods for calculating the limit development of functions and antiderivatives.