Concept
Interval (mathematics)
Related lectures (156)
Interval Analysis: Properties and Examples
Explores infimum, supremum, and absolute value concepts with examples and proofs.
Generalized Integrals: Simplified Concepts
Explains generalized integrals with simplified concepts, convergence criteria, and variable changes in integration.
Hyperbolic Transport Equations
Explores hyperbolic transport equations and numerical schemes, emphasizing higher-order methods and characteristics for exact solutions.
Derivability on an Interval: Rolle's Theorem
Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.
Derivatives Rules: Notation, Extrema
Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.
Properties of Continuous Functions
Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.
Taylor Series: Expansion and Properties
Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.
Intermediate Value Theorem
Explores the Intermediate Value Theorem, continuous functions, and the verification of their continuity in various examples.
Differentiability and Derivatives
Revisits the definition of differentiability and the existence of derivatives for functions in open intervals.
Uniform Continuity: Proof and Theorem
Covers the concept of uniform continuity and a theorem on continuous functions.