Lectures related to Real-valued function

Discusses limits of multivariable functions, focusing on definitions, examples, and techniques for calculating limits effectively.

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

Covers generalization of mean value theorem, Hospital rule, function graphs, and examples.

Explores real functions, emphasizing limits at infinity and calculation rules.

Covers improper integrals, study of functions, Taylor polynomials, and real numbers.

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

Covers function composition, limits, bijective functions, and the characterization of limits using sequences.

Covers the concept of the Hessian matrix and its role in optimization problems.