Lectures related to Top-level domain

Covers the modeling of territory through simplification and schematization.

Covers integral closures, focusing on Eisenstein primes and their properties.

Ordinary Differential Equations: Definitions and Solutions

Explores Ordinary Differential Equations definitions, solutions, polynomial degrees, autonomous solutions, maximal solutions, and Cauchy's problem.

Curvilinear Coordinates: Calculations and Examples

Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.

General Manifolds: A First Look

Introduces d-dimensional charts on manifolds and the concept of an atlas.

Derivatives of Trigonometric Functions

Explores the derivatives of trigonometric functions and their reciprocals.

Newtonian Potential: Bounded Domains

Explores Newtonian potential in bounded domains, discussing its conditions and properties.

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Laplace Transforms: Circuit Analysis

Explores Laplace transforms in circuit analysis, emphasizing pole-zero diagrams and s-domain concepts.

Monitoring with Icinga2

Explores the monitoring of a new VM and the use of Icinga2 for critical alerts and incident management.

Predicate Logic: Quantifiers and Normal Forms

Explores predicate logic, focusing on quantifiers and normal forms, emphasizing the importance of finding witnesses and counterexamples.

Definition of Sobolew Spaces

Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.

Green Theorem: Analyzing Potential Derivatives

Explores potential derivatives, Green theorem, simple curves, and adherence in open domains.

Variable Change Theorem: Polar Coordinates

Covers the variable change theorem in polar coordinates and its applications.

Definitions and Notations

Covers the definitions and notations related to functions.

Construction of Solutions by Dirichlet-Laplace

Explores the construction of solutions by Dirichlet-Laplace in general domains.

Introduction to Partial Differential Equations

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Introduction to R Programming for Genetics & Genomics

Introduces a course on Genetics & Genomics, focusing on R programming with interactive exercises.

Linear Transformations: Matrices and Applications

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Linear Algebra: Surjections

Explores surjections in linear algebra, demonstrating their importance in mapping elements between sets.