Concept

Interval (mathematics)

Related lectures (31)

Explores Taylor's theorem for functions on open intervals, focusing on nth derivatives.

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

Covers Taylor series with integral remainder for open intervals and their applications in mathematical analysis.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Explores continuity on a compact interval and its implications in limit calculations.

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Explores limits, continuity, and elementary functions' properties, emphasizing the importance of understanding continuous functions.

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Explores inequalities on real numbers, including real intervals and comparison properties.

Covers the definition and criteria for continuous functions and explores the intermediate value theorem.

Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Explores the theorems on maximum and minimum values of functions and their relation to continuity.

Explores continuous functions on open intervals and elementary functions constructed from algebraic functions.

Explores infimum, supremum, and absolute value concepts with examples and proofs.

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.

Explores reciprocal functions, strict monotonicity, and continuity in advanced analysis.

Explains generalized integrals with simplified concepts, convergence criteria, and variable changes in integration.

Covers the definition of integrals of type 1 and the importance of continuity.

Covers the demonstration of the BH theorem and the continuity of functions.