Lectures related to Complex Numbers: Convergence, Equations, and Exponential Functions

Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Introduces fundamental concepts of Analysis I, focusing on functions of a variable and numerical sequences.

Covers mathematical concepts from number theory to probability and statistics.

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Explores the limit of the quotient for sequences and the periodicity of functions.

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Covers the properties of complex numbers, sequences, and series.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Provides solutions to an Analysis I exam, covering various topics.

Explores holomorphic functions in complex analysis and the Cauchy-Riemann equations.

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Explores real functions, covering parity, periodicity, and polynomial functions.

Explores the relationship between series and integrals, highlighting convergence criteria and function examples.

Explores limits, convergence, and boundedness of functions and sequences.

Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Covers the limited development of integration and methods for calculating the limit development of functions and antiderivatives.

Covers functions, differentiability, Taylor expansions, and integrals, providing fundamental concepts and practical applications.

Covers convergence and divergence in numerical analysis, focusing on series and functions.