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Lecture
Complex Numbers: Operations and Polar Form
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Related lectures (45)
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Analyse I: Summary
Covers real numbers, complex numbers, numerical sequences, series, real functions, function limits, derivatives, Taylor series, integrals, and growth rates of functions.
Complex Numbers: Introduction and Properties
Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.
Infinite Branches
Explains infinite branches, vertical and oblique asymptotes, and limit calculations for functions with square roots.
Sequences Defined by Recurrence
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MOOC: Analysis I (part 3) : Real number sequences I and II
Covers sequences defined by recurrence, with examples and step-by-step demonstrations.
Definition of Complex Numbers Field
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MOOC: Analysis I (part 2) : Introduction to complex numbers
Introduces complex numbers and defines their field, emphasizing properties and operations.
Mathematics: Analysis and Algebra Overview
Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.
Functions: Real Numbers and Graphs
Covers functions of real numbers, graphing, and affine functions.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
Definitions and Examples
MOOC: Analysis I
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Explores the definitions and examples of real number sequences, including arithmetic and geometric sequences.
Real Analysis: Functions and Limits
Covers the basics of real analysis, including functions, limits, and max/min functions.
Complex Numbers: Definition
Covers the construction and properties of complex numbers, introducing the new constant 'i'.
Complex Roots: Conjugate Pairs and Quadratic Equations
Explores complex roots, conjugate pairs, and quadratic equations solving strategies.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
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.
Complex Numbers: Operations and Properties
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Explores complex numbers, including modulus, conjugation, and Euler formula.
Python Crash Course
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Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.
Functions in R^n to R
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Explores functions from R^n to R, focusing on graph correspondence and deficiency analysis.
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.
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