Lectures related to Mathematical Methods for Materials Science: Integrals, Exact Differentials

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

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

Covers Taylor expansion around 0, derivatives, integrals, and series in Analyse 1 2018 exam.

Covers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.

Explores curve length, function definition, continuity, derivatives, integrals, and graphical representations of functions in two variables.

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

Discusses optimization techniques, focusing on local and global extrema in functions.

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Covers various examples related to mathematical functions, including derivatives and integrals.