Lectures related to Hyperbolic Functions: Tangent and Cotangent

Introduces fundamental mathematical concepts and their applications in equations and inequalities.

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Explains partial and directional derivatives, and functions' derivability.

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

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.