MATH-101(de): Analysis I (German)

Lectures in this course (51)

Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.

Explores Taylor series, derivatives, and approximations in mathematical analysis.

Covers the calculation of Taylor polynomials, higher derivatives, and Taylor series using examples.

Covers the Taylor development theorem, convexity, and computation rules with Taylor.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Introduces definite integrals, Taylor expansions, partitions, and area calculations under curves.

Covers the basic concepts and theorems of integral calculus.

Covers the fundamental theorem of integral calculus and techniques for determining antiderivatives.

Covers integration techniques like partial integration and substitution rule, providing step-by-step explanations.

Covers the integration of rational functions and partial fraction decomposition, explaining how to handle complex roots.

Covers improper integrals with singularities and infinite intervals.

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