MOOC

Warm-up for EPFL

Description

It's designed to help you remember certain notions that will be useful in your first few weeks at EPFL. It's not a prerequisite course. You can do this MOOC in the two weeks before the semester, like a warm-up before a match.

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Description

Instructor

Simone Deparis

Expertise Simone Deparis is a professor at EPFL specializing in applied mathematics, numerical analysis, and the didactics of university-level mathematics. His research spans computational modeling for biomedical applications and innovations in mathematics education, with a focus on equity, self-efficacy, and assessment reform in large STEM cohorts. Mission Our group conducts research at the intersection of applied mathematics and learning sciences. In applied mathematics, we focus on modeling and simulatio

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Lectures in this MOOC (31)

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 MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers

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.

Related concepts (32)

Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differential equations which may be with respect to one independent variable. A linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a_0(x), .

Lausanne

Lausanne (loʊˈzæn , USalsoloʊˈzɑːn , lɔzan; Losena lɔˈzəna) is the capital and largest city of the Swiss French-speaking canton of Vaud. It is a hilly city situated on the shores of Lake Geneva, about halfway between the Jura Mountains and the Alps, and facing the French town of Évian-les-Bains across the lake. Lausanne is located northeast of Geneva, the nearest major city. The municipality of Lausanne has a population of about 140,000, making it the fourth largest city in Switzerland after Basel, Geneva, and Zurich, with the entire agglomeration area having about 420,000 inhabitants (as of January 2019).

Partial differential equation

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similar to how x is thought of as an unknown number to be solved for in an algebraic equation like x2 − 3x + 2 = 0. However, it is usually impossible to write down explicit formulas for solutions of partial differential equations.