Lectures related to General Physics: Mechanics SV

Mechanics: Introduction and Calculus

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

Black Holes: Dimensional Analysis and Gravitational Force

Covers the study of black holes and gravitational force.

Calculus: Derivatives and Integrals

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

Derivatives and Differential Equations

Covers trigonometric functions, derivatives, differential equations, and vector properties.

Mathematical Functions

Covers mathematical functions, including limits, derivatives, integrals, and trigonometric functions.

Complex Numbers: Introduction and Operations

Covers the introduction and operations of complex numbers in physics and engineering applications.

Laplacian in Polar and Spherical Coordinates: Derivatives

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Analysis I Exam Solutions

Provides solutions to an Analysis I exam, covering various topics.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Introduction to Mathematical Concepts

Introduces fundamental mathematical concepts and their applications in equations and inequalities.

Mathematical Reminders: Derivatives, Primitives, Integrals

Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.

Real Numbers and Functions

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

Vector Calculus: Scalars and Vectors

Introduces scalars and vectors, explaining their properties and mathematical operations.

Vector Calculus: Derivatives and Products

Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.

Exemples à connaître

Covers various examples related to mathematical functions, including derivatives and integrals.

Linear Dependence and Solutions

Explores linear dependence in matrices, systems of equations, unique solutions, derivatives, and integrals of quadratic functions.

Taylor Series: Derivatives and Integrals

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Fundamental Analysis: Integrals and Primitives

Covers the fundamental concepts of integrals and primitives, including properties and examples.

Fundamental Theorem of Calculus: Integrals and Primitives

Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.

Solutions to QCM 1-3

Covers the solutions to multiple-choice questions 1 to 3.