Lectures in MOOC Warm-up for EPFL

Row-echelon and reduced row-echelon matrices MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.

Gaussian Elimination Method MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Explains the Gaussian elimination method for transforming matrices into reduced row-echelon form using elementary row operations.

Integrals of Functions MOOC: Warm-up for EPFL

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.

Elementary Functions: Examples MOOC: Warm-up for EPFL MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Covers elementary functions like sin(x), cos(x), and tan(x) with examples and properties.

Derivatives and Trigonometry Fundamentals MOOC: Warm-up for EPFL

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

Powers, Roots, etc.: Calculation Rules MOOC: Warm-up for EPFL MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.

History of Mechanics MOOC: Warm-up for EPFL

Covers the history and methodology of mechanics from Aristotle to Newton.

Methodology of Mechanics MOOC: Warm-up for EPFL

Explores the methodology of mechanics, including modeling, laws application, problem-solving, theory limitations, and the historical evolution of classical mechanics.

Linear Systems Resolution MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Covers the resolution of linear systems using the Gauss method to determine unique, infinite, or no solutions.

Vector Projection in a Frame MOOC: Warm-up for EPFL

Explains how to project a vector onto a frame, calculating horizontal and vertical components in a Cartesian system.

Systems of Linear Equations and Matrices MOOC: Warm-up for EPFL MOOC: Learning to study science and engineering MOOC: Linear Algebra (Part 1)

Covers the definition and solution of linear equations with real coefficients in 2D and 3D space.

First Order Differential Equation MOOC: Warm-up for EPFL

Covers first-order differential equations, including linear equations and applications in physics.

Vector Product: Antisymmetric Coordinates MOOC: Warm-up for EPFL

Covers the vector product and its geometric interpretation in a Cartesian coordinate system.

Derivative of a Product of Functions MOOC: Warm-up for EPFL

Explores the derivative of a product of functions and discusses algebraic products and scalar products of functions.

Scalar Product MOOC: Warm-up for EPFL

Explains the concept of scalar product, its properties, and geometric interpretation.

Derivatives of Functions MOOC: Warm-up for EPFL

Introduces derivatives, composition of functions, Taylor expansion, velocity, acceleration, and temporal derivative notation in physics.

Derivative of a Function Composition MOOC: Warm-up for EPFL

Covers the derivative of a composition of functions with examples from physics.

Developing Limited Functions MOOC: Warm-up for EPFL

Covers the concept of developing limited functions and includes physical examples.

Second Order Differential Equations MOOC: Warm-up for EPFL

Explores second order linear differential equations, including complex solutions and trigonometric functions.

Vector Calculus: Direct Frame MOOC: Warm-up for EPFL

Explores the concept of a direct frame in vector calculus and its properties, emphasizing the importance of understanding fundamental vector concepts.