Lectures related to Approximation: Polynomial

Taylor Series: Approximating Functions with Polynomials

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Algebraic Operations and Taylor Expansions

Explores algebraic operations on Taylor expansions and the development of various functions.

Quantum Physics: Exercises on General Physics

Covers exercises related to quantum physics and mathematical calculations involving trigonometric functions.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Complex Numbers: Sequences, Series in C, exp, sin, cos

Covers complex numbers, sequences, series, and exponential, sine, and cosine functions in the complex plane.

Taylor Polynomials: Approximating Functions with Taylor Polynomials

Delves into Taylor polynomials, showcasing how higher orders improve function approximations and how they can be used to calculate limits.

Quantum Science and Technology

Covers the crisis of classical physics, quantum mechanics, entanglement, and quantum computing.

Taylor Polynomials: Approximating Functions

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

Geometric Quantization

Explores geometric quantization, the process of quantizing classical systems to obtain quantum systems using mathematical techniques like pseudo-differential calculus.

Laplace Transform of Typical Signals

Explores the Laplace transform of unit jump, exponential, sine, and cosine signals.

Quantum Physics: Historical Introduction and Schtenger-Lach Experiment

Delves into the historical development and significance of quantum physics, highlighting the failure of classical physics and the key Schtenger-Lach experiment.

Taylor Series: Limits and Composition

Covers the calculation of limits using Taylor series and the composition of compound functions.

Taylor Series: Cosine Function

Explains the Taylor series expansion of order 4 for the cosine function.

Taylor Polynomials: Calculating Limits and Derivatives

Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.

Divergence Examples

Explores examples of divergence in vector fields and their physical meanings.

Functions: Differentials, Taylor Expansions, Integrals

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

Trigonometric Formulas: Addition Theorem

Explores trigonometric addition theorem, double angles, and tangent properties.

Newton's Laws: Harmonic Oscillator

Covers the application of Newton's laws to harmonic oscillators with damping.

Taylor Polynomials: Correction Term

Explores the correction term in Taylor polynomials, showcasing its role in refining function approximations.

Fourier Transform of a Digital Rectangular Window

Covers the calculation of the Fourier transform of a digital rectangular window.