Monotonic function

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Related lectures (32)

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Real Sequences: Definitions and Operations

Explores real sequences, limits, and algebraic operations on sequences.

Convergence of Sequences

Explains convergence of sequences, including increasing, decreasing, and limits.

Convergence of Monotonic Sequences

Covers the convergence of monotonic sequences, discussing how a monotonically increasing or decreasing sequence that is bounded converges to its supremum or infimum respectively.

Sequences and Convergence: Solutions to Exercises

Covers solutions to exercises related to sequences, convergence, bounded functions, and bijective functions.

Dynamical System Theory for Engineers: Large Scale Stability

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Convergence of Sequences: Examples and Theorems

Explores the convergence of sequences through examples and theorems.

Semicontinuous Functions

Covers the concept of semicontinuous functions and their integration.

Real Functions: Definitions and Examples

Explores definitions and examples of real functions of a real variable.

Derivative and Variation

Covers the concepts of increasing and decreasing functions and the relationship between the derivative and monotonicity.

Immediate Consequences

Explores the immediate consequences of f' = 0 and monotonicity on intervals.