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Lecture
Approximation: Polynomial
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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.