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Master of Financial Engineering: Program Overview
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Related lectures (40)
Complex Numbers: Introduction and Operations
Covers the introduction and operations of complex numbers in physics and engineering applications.
Derivatives and Continuity in Mathematics
Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.
Implicit Functions and Taylor Polynomials
Covers implicit functions, Taylor polynomials, and tangent equations.
Applications of Theorems
Demonstrates the practical application of theorems in calculus through two clever examples.
Bernoulli's Hospital Rule
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Covers the statement of the Bernoulli's Hospital Rule and its application.
Hyperbolic Functions: Tangent and Cotangent
Covers the definitions and examples of hyperbolic tangent and cotangent functions.
Partial Derivatives and Derivability
Explains partial and directional derivatives, and functions' derivability.
Taylor Polynomial: Order 2
Presents the solution to finding the second-order Taylor polynomial of a function.
Derivatives of Functions
MOOC: Warm-up for EPFL
Introduces derivatives, composition of functions, Taylor expansion, velocity, acceleration, and temporal derivative notation in physics.
Differential Equations: Solutions and Monotonicity
Explores solutions of differential equations and their monotonicity properties.
Foundations of Digital Humanities: Introduction
Introduces 'Foundations of Digital Humanities', emphasizing collaboration and knowledge building among students and instructors.
Developing Limit Concepts
Explores developing limits using Taylor series for function approximations and understanding functions with derivatives approaching zero.
Computational Science and Engineering: Master Program Overview
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Outlines the Master in Computational Science and Engineering program at EPFL, detailing its structure, projects, and career opportunities for graduates.
Integration by Substitution
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Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.
Implicit Functions Theorem
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Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Advanced Analysis II: Derivatives and Functions
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Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Calculus: Derivatives and Integrals
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Covers the fundamentals of calculus, focusing on derivatives and integrals.
Introduction to Mathematics for Engineers
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Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.
Differential Equations: Implicit Solutions
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Explores implicit solutions for differential equations and their applications in different scenarios.
Implicit Differentiation: Basics
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Covers the basics of implicit differentiation, focusing on techniques and applications.
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