Lectures related to Exemples à connaître

Fresnel Integrals: Curvilinear Integrals in R^2

Explores Fresnel integrals through curvilinear integrals in R^2, focusing on cos(x²-y) and sin(x) functions.

Differential Calculation: Hyperbolic Functions

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Taylor Series: Derivatives and Integrals

Explores Taylor series expansions for derivatives and integrals, including practical applications.

Analyse I: Summary

Covers real numbers, complex numbers, numerical sequences, series, real functions, function limits, derivatives, Taylor series, integrals, and growth rates of functions.

Calculus Fundamentals

Covers the fundamentals of calculus, including limits, derivatives, and integrals.

Definite Integrals: Properties and Interpretation

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

Integration Exercise

Covers the process of calculating new bounds for integration and solving equations involving integrals and derivatives.

Integral: Motivation

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