Contents:

• number systems: from natural numbers to real numbers, completeness property of the reals
• polynomials: roots of polynomials, polynomial interpolation, rational functions
• special functions:  exponential function, logarithm, trigonometric functions
• complex numbers: exponential function for complex numbers, complex roots
• convergence of sequences and series, convergence of functions, continuous functions, O-notation
• differential calculus: derivative of a function,  interpretations and applications of the derivative
• intergral calculus: primitive functions, definite integrals,  fundamental theorem of calculus, applications
• power series
• basics of stochastics: probability spaces, discrete and continuous random variables, expected value and variance of random variables

• Kurt Meyberg, Peter Vachenauer: Höhere Mathematik 1, Springer-Verlag, 6. Auflage 2001
• Dirk Hachenberger: Mathematik für Informatiker, Pearson 2005
• Peter Hartmann: Mathematik für Informatiker, Vieweg, 4. Auflage 2006
• Thomas Westermann: Mathematik für Ingenieure mit Maple 1, Springer-Verlag, 4. Auflage 2005

The sign-up for the tutorial sessions will be announced in due time.