Lectures related to Domain of a function

Covers real functions, definitions, graphs, parity, periodicity, and boundedness.

Explores domains defined by level leagues and double integrals over such domains.

Introduces the complexities of design, emphasizing the ill-posed nature of problems and the iterative design process.

Covers the fundamental notion of composition in directed graphs and provides examples of their representation.

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

Explores real functions and the concept of limits through examples and calculations.

Covers the discussion of the function f(x) = |2x-1| -x²+1 on a given domain and its continuity, zeros, and derivatives.

Covers the importance of prototyping functions before using them, providing examples and best practices to follow.

Covers the definition and basic properties of the absolute value function for real numbers.

Covers the concept of anonymous functions in MATLAB and Octave.

Explores real functions of two real variables, illustrating domains, images, and graphs.

Explores semi-groups of contractions, discussing uniqueness theorems, maximum principles, and the infinitesimal generator.

Covers examples of inverse hyperbolic functions and their applications in solving mathematical problems.

Introduces real function analysis, emphasizing limits and series calculations.

Explains the motivation behind the limit of a function and convergence criteria.

Covers the basic example of a geometric series and its convergence properties.

Covers the terminology and conventions related to the limit of a function and introduces algebraic and transcendental functions.

Explores operations on sets, Cartesian products, and functions' properties.

Covers set theory operations and functions, including injections and surjections.

Explores surjections in linear algebra, demonstrating their importance in mapping elements between sets.