Linear Request Problem: Rigorous Results

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Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Meromorphic Functions & Differentials

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Wavelet Design: Fourier Transform

Covers the design of wavelets using Fourier transform and procedures for selecting wavelet functions.

Newton's method on Riemannian manifolds

Covers Newton's method on Riemannian manifolds, focusing on second-order optimality conditions and quadratic convergence.

Internal Transport: Mass Balance and Maxwell-Stefan Equation

Explores internal transport phenomena, focusing on mass balance and the Maxwell-Stefan Equation in single pores.

Linear Models: Least Squares

Explores linear models, least squares, Gaussian vectors, and model selection methods.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Linear Independence and Bases in Vector Spaces

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Dynamical Response Functions in Neuroscience

By Tatjana Tchumatchenko explores dynamical response functions in neuroscience, emphasizing the role of linear response functions in understanding neural activity.

Constrained optimization: the basics

Covers the basics of constrained optimization, including tangent directions, trust-region subproblems, and necessary optimality conditions.