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Related lectures (31)

Covers multivariable integral calculus, including rectangular cuboids, subdivisions, Douboux sums, Fubini's Theorem, and integration over bounded sets.

Compact Embedding: Theorem and Sobolev Inequalities

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Interior Points and Compact Sets

Explores interior points, boundaries, adherence, and compact sets, including definitions and examples.

Sequences: Induction Method

Covers sequences, induction method, Fibonacci, Bernoulli's inequality, and binomial formula.

Limits of Recursive Sequences

Explores limits of recursive sequences, convergence, boundedness, and algebraic operations related to limits at infinity.

Analysis I: Decreasing and Growing Functions

Explores decreasing and growing functions, bounded sequences, and limit existence.

Convergence Criteria

Covers the convergence criteria for sequences, focusing on the definition of convergence and the properties of convergent sequences.

Lattices for Abstract Interpretation

Covers lattices, abstract interpretation, fixpoint analysis, Hoare logic, and partial orders with extreme elements.

Real Numbers Sequences

Explores real number sequences, convergence, limits, boundedness, and monotonicity.

Continuity on a Compact Interval

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

Fourier Transform: L^2 Analysis

Explores the Fourier transformation on L^2, emphasizing convergence and density in Fourier analysis.

Functional Analysis I: Norms and Bounded Operators

Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.

Sobolev spaces, Lax-Milgram

Covers Sobolev spaces, Lax-Milgram theorem, embeddings, and Lipschitz boundaries in PDEs.

Maximum and Minimum of Functions

Explores limits, minimum and maximum values of functions, and continuity criteria in a compact set.

Banach Spaces: Reflexivity and Convergence

Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.

Mild Dissipative Surface Dynamics

Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.

Geometric Series: Convergence and Limit

Explores the convergence and limit of geometric series, demonstrating mathematical properties and applications.

Limit of Functions: Convergence and Boundedness

Explores limits, convergence, and boundedness of functions and sequences.

Definition of Sobolew Spaces

Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.

Convergence of Sequences: Examples and Theorems

Explores the convergence of sequences through examples and theorems.

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