Introduction to Physics: Scientific Approach and Mathematics

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Related lectures (31)

Introduction: Purpose of Physics, Physical Law, CMS

Introduces the purpose of physics, the role of mathematics, and the importance of observation in understanding natural phenomena.

Warm-up for EPFL: Physics

Offers a warm-up for EPFL students, covering key concepts in mathematics and physics through thematic videos and practical exercises.

Metaphysics: Aristotle's Theory and Natural Philosophy

Explores Aristotle's metaphysics, the role of science in answering 'why' questions, and the essence of natural philosophy.

Applications of Theorems

Demonstrates the practical application of theorems in calculus through two clever examples.

Duplication of the Cube

Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Elliptic Problems

Covers the concept of elliptic problems and their applications in various scenarios.

Introduction to Physics: Observations, Mathematics, and Natural Phenomena

Introduces the basics of physics, emphasizing curiosity, observation, and mathematical description of natural phenomena.

Conformal Blocks: Understanding Young Diagrams and Weight States

Covers conformal blocks, Young diagrams, and their significance in weight states.

Advanced Analysis: Differential Equations Overview

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Mechanics: Introduction and Calculus Log in to Mediaspace to watch this video

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

Integration Techniques: Fundamental Theorems and Methods Log in to Mediaspace to watch this video

Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.

Differentiable Functions and Lagrange Multipliers Log in to Mediaspace to watch this video

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Differentiability of Functions of Several Variables Log in to Mediaspace to watch this video

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Integration by Substitution Log in to Mediaspace to watch this video

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Differentiability and Tangent Planes in Multivariable Functions Log in to Mediaspace to watch this video

Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.

Taylor Polynomials: Approximating Functions in Multiple Variables Log in to Mediaspace to watch this video

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Complex Integration and Cauchy's Theorem Log in to Mediaspace to watch this video

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Improper Integrals: Fundamental Concepts and Examples Log in to Mediaspace to watch this video

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Mathematics: Cylinders and Parametrizations Log in to Mediaspace to watch this video

Discusses the mathematical concepts of cylinders and their parametrizations, including surface area, volume, and related exercises.

Introduction to Physics: Understanding Natural Phenomena Log in to Mediaspace to watch this video

Covers the basics of physics, emphasizing understanding natural phenomena and the role of mathematics in representing physical laws.

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