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
• differential calculus: derivative of a function,  interpretations and applications of the derivative
• intergral calculus: definite and indefinite integrals,  fundamental theorem of calculus, applications
• power series
• Taylor series
• basics of differential calculus for multivariate functions: partial derivative, gradient, Jacobi matrix
• solution of simple  differential equations

• Kurt Meyberg, Peter Vachenauer: Höhere Mathematik 1, Springer-Verlag, 6.Auflage 2001
• Dirk Hachenberger: Mathematik für Informatiker, Pearson 2005
• Gerhard Berendt: Mathematische Grundlagen der Informatik, Band 2, B.I.-Wissenschaftsverlag; 1990
• Thomas Westermann: Mathematik für Ingenieure mit Maple 1, Springer-Verlag, 4.Auflage 2005

Target group:

Students of Bioinformatics (BSc, second semester)

Requirements:

Mathematik für Bioinformatiker I