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Essential infimum and essential supremum
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Fundamental Theorem of Algebra
Covers the Fundamental Theorem of Algebra, complex sequences, convergence, and continuity of functions.
Supremum
Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.
Analysis I: Lecture 4 Repeated Hour 1
Explains how to find supremum and infimum of a set with examples.
Mock Exam: Solutions to TF Questions
Covers a mock exam with true or false questions related to convergent sequences and series convergence.
Formulation, Properties: Infimum vs Optimum
Explains the difference between infimum and optimum in optimization problems and how to find the optimal solution.
Real Number Sequences: Introduction
Introduces real number sequences, limits, and their properties.
Quiz on Chapters 1-3: Solutions to TF questions
Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.
Real Numbers: Definitions and Equivalence Classes
Covers the existence of real numbers and equivalence classes of Cauchy sequences.
Bisection Algorithm: Convergence and Continuity
Explores the Bisection Algorithm, convergence of sequences, and function continuity.
Global Properties of Continuous Functions
Explores the global properties of continuous functions, including behavior, limits, and interval characteristics.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
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