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Lecture
Extrema Absolutes
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Extreme Values of Continuous Functions
Covers extreme values of continuous functions on compact sets and differentiability.
Extreme Points and Function Extrema
Explores finding extrema of functions over compact sets and edge parametrization.
Compact Sets and Extreme Values
Explores compact sets, extreme values, and function theorems on bounded sets.
Continuous Functions on Compact Sets
Explores continuous functions on compact sets, discussing boundedness and extremum values.
Analyse II: Theorems on Continuous Functions and Extremums
Covers the theorems on continuous functions and extremums in compact sets.
Optimization of Functions: Maximum and Minimum
Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.
Finding Absolute Extrema in Multivariable Functions
Covers the conditions for finding absolute extrema in multivariable functions.
Optimization Techniques: Local and Global Extrema
Discusses optimization techniques, focusing on local and global extrema in functions.
Preliminaries in Measure Theory
Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.
Optimization: Extrema of Functions
Covers the optimization of functions, focusing on finding the maximum and minimum values.