Lectures related to List of periodic functions

Fourier Series: Sinusoidal Functions and Coefficients

Explains the Fourier series representation of periodic functions using sinusoidal functions and coefficients.

Explores the convergence criteria and the importance of continuity in sequences near a point xo.

Periodic Functions: Integrals and Approximations

Discusses periodic functions, integrals, and approximations using trigonometric polynomials and proofs of related theorems.

Unbounded and Bounded Systems: Fourier Methods

Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.

Elastic Collisions and Rotational Motion

Explores elastic collisions, rolling cylinders, and ballistic pendulums.

Fourier Coefficients of Periodic Functions

Explores computing Fourier coefficients of periodic functions, discussing convergence and reconstruction of the original signal.

Interference Patterns Analysis

Analyzes interference patterns from a device with six slits to determine the relation between slit width and distance, showcasing mathematical expressions and graphical representations.

The DTFT as a change of basis

Explores the DTFT as a change of basis, localizing functions, and the Dirac delta functional.

Periodic Functions and Extrema Analysis

Explores periodic functions and extrema analysis in functions.

Uniform Convergence of Fourier Series

Covers the concept of uniform convergence of Fourier series and Dirichlet's theorem application.

Trigonometric Polynomials: Periodicity and Fourier Coefficients

Explores trigonometric polynomials, periodicity, and Fourier coefficients in mathematical analysis.

Fourier Series: Convergence and Dirichlet Theorem

Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.

Parametric Resonance: Standard Base

Covers parametric resonance, standard base, linearly independent solutions, and periodic functions in mechanics.

Real Functions of Real Variables: Properties and Domains

Covers the properties of real functions, domains, and types of functions, including periodicity.

Shor Algorithm: Period Finding

Covers the Shor Algorithm for period finding and its application in factorization, discussing the circuit implementation and measurement outcomes.

Sampling Theorem and Control Systems

Explores the Sampling Theorem, digital control, signal reconstruction, and anti-aliasing filters.

Fourier Series: Dirichlet Theorem and Convergence

Explores Fourier series, Dirichlet theorem, and convergence properties in periodic functions.

Circuits in Sinusoidal Mode: Fundamentals and Analysis

Explores the fundamentals of circuits in sinusoidal mode and the analysis of linear circuits' response to sinusoidal excitations.

Fourier Series: Periodic Functions and Sine/Cosine Interactions

Covers the Fourier series and interactions between sine and cosine functions.

Algebraic Operations and Parity Functions

Covers algebraic operations and parity functions, emphasizing even and odd functions in a symmetric domain.