Advanced Physics I: Mathematical Concepts

Related lectures (28)

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Covers the construction of integers through equivalence relations and their properties in mathematics.

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores mathematical operations with matrices and vectors, including scalar product and matrix multiplication.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers the definition and operations involving rational numbers.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

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

Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.