Geometric Sequences: Recurrence System

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Introduces the basics of physics, emphasizing curiosity, observation, and mathematical description of natural phenomena.

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Covers the ring of polynomials, focusing on coefficients and multiplication.

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

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores rings, fields, ideals, and their properties in algebraic structures.

Covers vector spaces, subspaces, linear combinations, and independence concepts with illustrative examples.

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

Explores geometric examples related to linear applications in algebra.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.