Lectures related to Characteristic Polynomial: Selections and Equations

Homogeneous Linear Second-Order Differential Equations

Covers the solution of homogeneous linear second-order differential equations with constant coefficients and explores various cases of real and complex roots.

Linear Algebra: Matrix Representation of Linear Applications

Explores matrix representation of linear applications, emphasizing eigenvalues and bases.

Protein Abundance: Random Walks

Explores protein abundance as a random walk and the Moran model in population genetics.

Components: Ball-bearing

Explores the selection and usage of components, focusing on ball bearings and their types, materials, and assembly.

Projection-based Testing in Longitudinal Functional Regression

By Ana-Maria Staicu covers testing for time-varying mean and covariate effects in longitudinal functional regression.

B and T Cell 3D Maturation

Covers the 3D maturation process of B and T lymphocytes, including heavy and light chain recombination.

Immune Selection and Cancer Evolution

Delves into immune selection, cancer evolution, neoantigen quality, fitness cost, tumor heterogeneity, and evolutionary predictions.

Orthogonal Diagonalization

Explores orthogonal diagonalization of symmetric matrices using orthonormal bases and the Gram-Schmidt method.

Newton's Method: Convergence

Explores the convergence of Newton's method for solving nonlinear equations and the importance of selecting appropriate initial guesses.

Eigenvalues and Eigenvectors

Covers eigenvalues and eigenvectors, explaining their importance in linear algebra.

Matrix Equations: Finding Free Variables

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Diagonalisation of Symmetric Matrix by Orthogonal Matrix

Covers the method of diagonalizing a symmetric matrix using an orthogonal matrix.

Eigenvalues and Eigenvectors

Covers eigenvalues and eigenvectors of a matrix, including the characteristic equation and polynomial.

Stéréotomie: Vousssoirs and Collaborative Work

Covers the organization of the course, creation of voussoir components, collaborative work, and selection of group components.

Random Walks and Moran Model in Population Genetics

Explores random walks, Moran model, bacterial chemotaxis, entropy, information theory, and coevolving sites in proteins.

Drug Discovery: Computational Approaches

Explores the EXSCALATE4COV project, focusing on computational drug discovery for COVID-19 treatments and the collaboration between academia and industry.

Thermal Bridges in Building Design

Explores the impact of materials and construction techniques on heat transfer in buildings.

Complex Eigenvalues Appendix

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

Eigenvalues and Minimal Polynomial

Explores eigenvalues and minimal polynomial, emphasizing their importance in linear algebra.