Contents
Two semester course, 4 hours lectures and 3 hours problem sessions a week.
The goal of this course is to give the students knowledge and understanding of fundamental methods, notions and results from mathematical analysis and geometry.
The headlines are:
Real numbers. Complex numbers. The notions of limit, continuity and differentiability of functions of one and several variables. Convergence of sequences and series of complex numbers and complex functions, especially power series and Fourier series. Main theorems on continuous and differentiable functions, especially extreme values and primitives in one and several variables. Theory of integration in one, two and three variables. Special functions. Arc length and line integrals. Ordinary differential equations with constant coefficients.
Text-books
Tom Lindstrøm: Kalkulus, Universitetsforlaget, Oslo 1995. Robert A. Adams: Calculus, 3rd edition, Addison-Wesley, 1995. Henrik Stetkær: Fourierrækker, Matematisk Institut, Aarhus Universitet, 1994/95.
Evaluation
1 written examination
ECTS-credits
20
Semester
Fall + spring