Limits and Infinity

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Covers essential concepts of vectors, norms, and their properties in linear algebra.

Explores linear transformations, matrices as functions, and geometric interpretations.

Explores stationary points and the Lagrange multiplier theorem for function optimization.

Introduces NumPy and Matplotlib, essential tools for scientific computing and data visualization in Python.

Introduces the Abel summation formula and its application in establishing various equivalent formulations of the Prime Number Theory.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

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Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Covers the Mean Value Theorem, l'Hopital rule, Taylor's approximation, and more.

Discusses Laurent series, residue theorem, and their applications in complex analysis.

Explores eigenvalues and eigenvectors in matrices through examples and calculations.

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

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