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Complex Numbers and Sequences
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Related lectures (38)
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Limit of Functions: Convergence and Boundedness
Explores limits, convergence, and boundedness of functions and sequences.
Functions of Several Real Variables
Explores real functions of several real variables, limits, and algebraic operations.
Analysis I Exam Solutions
Provides solutions to an Analysis I exam, covering various topics.
Theorem of Generalized Mean Value: Study of Functions
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Explores the conditions for continuity and differentiability of functions on a closed interval.
Limits of Functions in Several Variables
Explores limits of functions in several real variables, including the two gendarmes theorem and the minimum and maximum theorem on compact sets.
Demonstration of BH Theorem
MOOC: Analysis I
MOOC: Analysis I (part 6) : Study of functions, limited developments
Covers the demonstration of the BH theorem and the continuity of functions.
Limits of Functions: Calculus Methods
Explores the concept of limits of functions of several variables and methods for calculation, including criteria based on convergent sequences and the 'two gendarmes' theorem.
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
Limit of the Quotient and Periodicity
Explores the limit of the quotient for sequences and the periodicity of functions.
Infinite Limits at a Point
Explores infinite limits at a point and their properties, including lateral infinite limits and comparisons with sequences.
Integral: Motivation
MOOC: Analysis I
MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)
Covers the motivation behind indefinite integrals and the non-injectivity of the derivative operator.
Complex Numbers: Convergence, Equations, and Exponential Functions
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Covers convergence of power series, complex equations, exponential functions, and function properties.
Limits and Continuity: Analysis 1
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Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.
Python Crash Course
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Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.
Analysis I: Functions of a Variable
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Introduces fundamental concepts of Analysis I, focusing on functions of a variable and numerical sequences.
Probability and Statistics
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Covers mathematical concepts from number theory to probability and statistics.
Convergence of Sequences in Multivariable Analysis
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Covers the convergence of sequences in multivariable analysis, including definitions, properties, and examples in higher dimensions.
Continuity of Functions: Definitions and Notations
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Explores the continuity of functions in R² and R³, emphasizing accumulation points and limits.
Complex Numbers: Operations and Polar Form
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Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.
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