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Lecture
Analyse 1: Introduction
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Related lectures (45)
Real Functions: Definitions and Examples
Explores definitions and examples of real functions of a real variable.
Real Functions: Continuity and Limits
Explores continuity and limits of real functions, including examples and the concept of uniform continuity.
Real Functions: Limits and IPE
Covers real functions, limits, and introduces Infinitely Small Equivalents (IPE) for simplifying calculations.
Real Functions of Several Variables: Definitions and Examples
Covers definitions and examples of real functions of several real variables, including limits and visualization techniques.
Real Functions: Composition and Limits
Explores real functions, composition, and limits, including algebraic operations and sequence characterization.
Real Functions: Limit of Functions
Explores real functions and the concept of limits through examples and calculations.
Real Functions, Continuity, Differential Calculus
Covers real functions, continuity, and differential calculus, including the intermediate value theorem and derivatives.
Real Functions: Continuity
Covers the concept of real functions and how to verify continuity for different values.
Limit of a Function
MOOC: Analysis I
MOOC: Analysis I (part 4) : Limit of a function, continuous functions
Covers the discussion of real functions and the concept of limits.
Real Functions: Definitions and Limits
Explores real functions of several real variables, including definitions and limits, emphasizing the uniqueness of limits.
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: Solutions and Periodicity
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Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.
Complex Analysis: Functions and Their Properties
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Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.
Implicit Functions Theorem
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Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Real Analysis: Basics and Sequences
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Introduces real analysis basics, including functions, sequences, limits, and set properties in R.
Probability and Statistics
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Covers mathematical concepts from number theory to probability and statistics.
Analyse I IN/SC: Improper Integrals and Real Functions
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Covers improper integrals, study of functions, Taylor polynomials, and real numbers.
Differentiable Functions and Lagrange Multipliers
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Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Complex Analysis: Laurent Series and Residue Theorem
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Discusses Laurent series and the residue theorem in complex analysis, focusing on singularities and their applications in evaluating complex integrals.
Taylor Polynomials: Calculating Limits and Derivatives
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Covers the calculation of Taylor polynomials and their applications in limits and derivatives of functions from R² to R.
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