Content

1. Additions to Analysis I. Non-authentic integrals
2. Uniform convergence of function sequences. Power series. Sentence of Taylor.
3. Elements of topology. Standardized and metric spaces. Open quantities. Convergence. Completed quantities. Consistency. Compactness
4. Differential calculus of several variables. Partial, total and continuous differentiability. Block via the inverse function. Block of implicit functions.
5. Iterated integrals.
6. Ordinary differential equations. Basic terms, elementary solvable differential equations, existential and unambiguous results for systems.

• O. Forster: Analysis 1 und 2. Vieweg/Springer.
• Königsberger, K: Analysis 1,2, Springer.
• E. Behrends: Analysis Band 1 und 2, Vieweg/Springer.
• H. Heuser: Lehrbuch der Analysis 1 und 2, Teubner/Springer.