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Related lectures (9)

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Curvilinear Coordinates: Calculations and Examples

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

Integral Closures: Eisenstein Primes

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.

Advanced analysis II: volume change and variable transformation

Covers partitioning, integrable functions, variable transformations, and volume change in R².

Linear Algebra: Surjections

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

Graphical Definition: Level Sets and Domains

Covers the graphical definition of functions, focusing on level sets and domains.

Functions in R²: Definitions and Examples

Introduces functions in R² with examples and graphical techniques, illustrated by Peter Wittwer.

Properties of Functions

Covers the properties of functions, including symmetry, continuity, and limits.

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.