The Refraction of Light and Snell's Law Summary: In this class, we will explore the refraction of light through the analysis of Snell's Law. The concept of the refractive index will be explained, Snell's Law will be derived using Fermat's principle, and the study of how this law allows us...
The Concept of the Electric Field In the 19th century, Michael Faraday, one of the greatest experimenters in the field of electricity, had a peculiar way of working: he filled his laboratory with wires, charged spheres, and small containers with conductive liquids. A famous anecdote tells that, in his obsession...
Projectile Motion Summary: In this class, we will review all the kinematic aspects of projectile motion, a crucial topic in physics that extends our previous study on uniformly accelerated motion. We will address how, by removing the restriction on the direction of motion, we encounter parabolic trajectories typical of projectiles....
Electric Flux and Gauss’s Law In electrostatics, calculating the electric field “from scratch” can become very costly when the geometry of the charge distribution is not trivial. Electric flux and Gauss’s law offer a more efficient route: instead of struggling with endless integrals, you choose an appropriate closed surface and...
Refraction at Spherical Interfaces Summary: In this lesson, we will analyze Refraction at Spherical Interfaces, highlighting how light behaves when passing through spherical surfaces and how images are formed. The key equations for calculating the position and size of images are presented. Practical cases, such as lenses and the estimation...
Continuous Probability Distributions SummaryIn this section, we will delve deeply into the concept of continuous probability distributions, highlighting the characteristics and uses of the five most well-known ones: the exponential distribution, the rectangular uniform distribution, the normal (Gaussian) distribution, the Weibull distribution, and the Gamma distribution. The mathematical formulas defining...
Thin Lenses: Everything About Their Properties and Calculations Summary: This class introduces thin lenses, explaining their types (convergent and divergent), their optical properties, and the object-image relationship. Graphical methods are presented, and the lens maker's equation is derived to understand their functioning. The aim is to provide a basic understanding...
How to Calculate the Normal Distribution Using the Table? Summary In this class, we will address the topic of the normal distribution, one of the most common continuous probability distributions. We will analyze how a random variable X with parameters μ and σ can follow a normal distribution and how...
The Euclidean Space In this class, we explore the Euclidean space , its algebraic structure, and metric properties. You will learn about vector operations, the dot product, the norm, and the Euclidean distance, essential concepts in geometry and analysis. With clear explanations and intuitive examples, this material will help you...
Introduction to Ordinary Differential Equations This class offers a detailed exploration of the fundamental ideas that govern these equations and their applications in various fields. Beginning with an analysis of the nature of constant change in the world around us, basic concepts such as functions, derivatives, and their relationship with...
