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Convex Functions: Theorems and Examples
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Related lectures (42)
Advanced Analysis: Differential Equations Overview
Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.
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Applications of Theorems
Demonstrates the practical application of theorems in calculus through two clever examples.
Bernoulli's Hospital Rule
MOOC: Analysis I
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Covers the statement of the Bernoulli's Hospital Rule and its application.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.
Differential Equations: Solutions and Monotonicity
Explores solutions of differential equations and their monotonicity properties.
Taylor Polynomial: Order 2
Presents the solution to finding the second-order Taylor polynomial of a function.
Linear Independence: The Wronskian Concept
Explains the Wronskian and its role in determining linear independence of solutions to differential equations.
Linear Independence: The Wronskian Concept
Explains the Wronskian and its role in determining linear independence of solutions to differential equations.
Advanced Analysis: Differential Equations Overview
Provides an overview of differential equations, their properties, and methods for finding solutions through various examples and graphical representations.
Generalized Fine Increments: Applications and Examples
Discusses generalized fine increments, function evaluation, theorems, and derivative applications.
Derivatives: Chain Rule and Composed Functions
Covers derivatives, chain rule, and composed functions with examples and applications.
Introduction to Mathematical Concepts
Introduces fundamental mathematical concepts and their applications in equations and inequalities.
Implicit Functions Theorem
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Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Convex Functions
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Covers the properties and operations of convex functions.
Advanced Analysis II: Derivatives and Functions
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Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Integration by Substitution
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Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.
Calculus: Derivatives and Integrals
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Covers the fundamentals of calculus, focusing on derivatives and integrals.
Introduction to Mathematics for Engineers
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Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.
Real Analysis: Basics and Sequences
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Introduces real analysis basics, including functions, sequences, limits, and set properties in R.
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