Complex Numbers: Operations and Properties

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Related lectures (30)

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Complex Numbers: Definitions and Properties

Covers the definitions and properties of complex numbers, including conjugate and modulus.

Analytical Study of Space

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Geometric Examples

Explores geometric examples related to linear applications in algebra.

Tensor Products of Modules

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Pushouts in Group Theory: Universal Properties Explained

Covers the construction and universal properties of pushouts in group theory.

Dimension Theory: Topological Space and Closed Subsets

Explores dimension theory in topological spaces and closed subsets, including height interpretation and additivity.

Integration: more examples and rational functions

Covers antiderivatives, fundamental theorems, integration techniques, and rational functions.

Complex Roots: Conjugate Pairs and Quadratic Equations

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Analyse I: Summary

Covers real numbers, complex numbers, numerical sequences, series, real functions, function limits, derivatives, Taylor series, integrals, and growth rates of functions.

Group Theory Basics

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.