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Lecture
Trigonometric Formulas: Limits and Functions
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Analysis I: Functions of a Variable
Introduces fundamental concepts of Analysis I, focusing on functions of a variable and numerical sequences.
Limits and Operations on Limits
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Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Mathematics: Limits and Trigonometric Functions
Explores limits in mathematics, focusing on trigonometric functions and algebraic transformations to evaluate them.
Limit at Right and Left Endpoints
Explains limits at right and left endpoints, convergence conditions, and function behavior near specific values.
Real Analysis: Basics and Sequences
Introduces real analysis basics, including functions, sequences, limits, and set properties in R.
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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Explores convergence criteria for series and functions, including the squeeze theorem and D'Alembert's criterion.