Lectures related to Introduction to Mathematical Concepts

Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.

Covers the motivation behind indefinite integrals and the non-injectivity of the derivative operator.

Covers the calculation of minimum points and the concept of definite integrals.

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

Covers derivatives, chain rule, and composed functions with examples and applications.

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Explores derivatives, functions, limits, and tangent lines in calculus.

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