Lectures related to Limit of the Quotient and Periodicity

Taylor Series: Convergence and Applications

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

Real Functions: Definitions and Properties

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

Analysis I Exam Solutions

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

Comparison Series and Integrals

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

Limit of Functions: Convergence and Boundedness

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

Convergence Criteria: Series & Functions

Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Integration of Functions: Series and Limits

Covers the integration of functions through series and limits, focusing on the development of limit expansions and the integration of entire series.

Functions: Differentials, Taylor Expansions, Integrals

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

Integration: Limited Development

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

Numerical Analysis: Convergence and Divergence

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

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Continuity of Functions: Definitions and Notations

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

Mathematics: Analysis and Algebra Overview

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Fourier Series: Understanding Periodicity and Coefficients

Explores t-periodic functions in Fourier series, discussing intervals, propositions, and variable changes for coefficient calculation and series convergence.

Laurent Series and Convergence: Complex Analysis Fundamentals

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

Analysis I: Functions of a Variable

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

Transforms of the Place

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Sequences and Convergence: Understanding Mathematical Foundations

Covers the concepts of sequences, convergence, and boundedness in mathematics.