Transforms of the PlaceExplores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.
Integral: MotivationCovers the motivation behind indefinite integrals and the non-injectivity of the derivative operator.
Real Analysis: SummaryCovers real numbers, sequences, series, functions, limits, derivatives, Taylor series, integrals, and more.
Analyse I: SummaryCovers real numbers, complex numbers, numerical sequences, series, real functions, function limits, derivatives, Taylor series, integrals, and growth rates of functions.
Functions and DerivativesExplores continuity, differentiability, boundedness, and extrema of functions in multiple variables.
Gradient and Taylor FormulaIntroduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.