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Lecture
Implicit Functions Theorem
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Implicit Functions Theorem
Covers the Implicit Functions Theorem and its applications in defining functions implicitly.
Piecewise Functions Composition
Covers the composition of piecewise functions and introduces the signum and Heaviside functions.
Advanced Analysis II: Derivatives and Functions
Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Improper Integrals: Convergence and Comparison
Explores improper integrals, convergence criteria, comparison theorems, and solid revolution.
Advanced Analysis II: Differential Equations and Timers
Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.
Taylor Polynomial: Order 2
Presents the solution to finding the second-order Taylor polynomial of a function.
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Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.