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Lecture
Characterization of Sequences
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Advanced Analysis II: Integrals and Functions
Covers advanced topics in analysis, focusing on integrals, functions, and their properties.
Limits of Multivariable Functions: Techniques and Theorems
Discusses limits of multivariable functions, focusing on definitions, examples, and techniques for calculating limits effectively.
Convergence Criteria: Series & Functions
Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
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Discusses local extrema of functions in two variables around the point (0,0).
Comparison Series and Integrals
Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
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.
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Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.
Mock Exam: Solutions to the open question
Explores solutions to an open question from a mock exam, focusing on series convergence and function properties.