Lectures related to Complex Numbers: Introduction and Operations

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.

Harmonic Oscillator: Complex Numbers and Solutions

Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.

Explores harmonic oscillators' behavior under various damping conditions, covering Newton's laws, complex numbers, and Euler's formula.

Complex Numbers: Properties and Operations

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Real Numbers and Functions

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Derivatives and Trigonometry Fundamentals MOOC: Warm-up for EPFL

Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.

Complex Numbers: Polar Form

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

General Physics I: Course Organization

Covers the organization of a physics course for engineering students, including adjustments due to the current situation and support resources.

Derivatives and Approximations: Logarithmic Functions

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Verification Strategies for Exercises MOOC: Learning to study science and engineering

Covers general verification strategies for solving exercises in science and engineering, emphasizing the importance of verifying solutions.

Energy System Optimization

Covers the optimization of energy systems, focusing on solving equations and numerical methods.

Euler's Formula Demonstration MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Covers the demonstration of Euler's formula and its applications.

Work, Power

Covers the concepts of work and power, exploring real-world examples and magnitudes of power.

General Physics: Mechanics SV Log in to Mediaspace to watch this video

Covers the basics of General Physics, focusing on Mechanics SV and key mathematical concepts.

Introduction to Mathematics for Engineers Log in to Mediaspace to watch this video

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

Calculus: Derivatives and Integrals Log in to Mediaspace to watch this video

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Fourier Transform: Derivatives and Laplace Transform Log in to Mediaspace to watch this video

Explores the Fourier transform properties with derivatives and introduces the Laplace transform for signal transformation and solving differential equations.

Absolute Value and Complex Numbers Log in to Mediaspace to watch this video

Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.

Complex Numbers: Algebraic Structures and Applications Log in to Mediaspace to watch this video

Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.