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Lecture
Complex Numbers: Introduction and Operations
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Complex Numbers: Operations and Applications
Covers the fundamental operations and applications of complex numbers.
Complex Numbers: Definitions and Operations
Covers the introduction and operations of complex numbers, including powers and roots.
General Physics: Mechanics SV
Covers the basics of General Physics, focusing on Mechanics SV and key mathematical concepts.
Harmonic Oscillator: Complex Numbers and Solutions
Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.
Introduction to Mathematics for Engineers
Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.
Calculus: Derivatives and Integrals
Covers the fundamentals of calculus, focusing on derivatives and integrals.
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Explores the Fourier transform properties with derivatives and introduces the Laplace transform for signal transformation and solving differential equations.
Absolute Value and Complex Numbers
Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.
Complex Numbers: Algebraic Structures and Applications
Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.
Mechanics: Oscillator Harmonics
Explores harmonic oscillators' behavior under various damping conditions, covering Newton's laws, complex numbers, and Euler's formula.