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MOOC

Warm-up for EPFL

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Lectures in this MOOC (31)

Produit mixte MOOC: Warm-up for EPFL

Covers the concept of the mixed product and related vector identities.

Number of Solutions in Linear Systems MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Explores the number of solutions in linear systems of equations and the conditions for no solution, a unique solution, or an infinite number of solutions.

Second Order Differential Equation MOOC: Warm-up for EPFL

Explores solutions for real inhomogeneous second-order differential equations and physical examples of vertical oscillatory motion.

Linear Equations and Matrices: Solution Methods, Elementary Operations MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.

Integration of Functions using Derivatives MOOC: Warm-up for EPFL

Covers the calculation of integrals of various functions using derivative rules.

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

Covers the resolution of linear systems through the Gaussian elimination method.

Elementary Operations: Matrix Version MOOC: Warm-up for EPFL MOOC: Linear Algebra (Part 1)

Covers elementary operations in matrix form, matrix size, component notation, equality, augmented matrices, and row operations.

Differential Equations in Free Fall MOOC: Warm-up for EPFL

Corrects exercise 1 on first-order differential equations in vertical free fall.

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

Discusses reciprocal functions and their graphs, including x² and √x, e^x and ln(x), and tangent and arc tangent.

Dimensional Analysis: Gravitational Constant MOOC: Warm-up for EPFL

Corrects exercise 3 on dimensional analysis using the gravitational constant as an example.

Prelude: Linking Mathematics and Course Content MOOC: Warm-up for EPFL MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers MOOC: Analysis I

Introduces the course content by linking familiar mathematics with upcoming topics.

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