| TAT001 | Real Analysis, honours course, 3,8 ECTS-points /Analys, överkurs/ Advancement level: C | |
| Aim: To extend and enhance the analysis taught in the basic calculus courses as a preparation for more advanced studies in mathematics and applied subjects. Prerequisites: A basic course in analysis.Course organization: The course is held in seminar form with student participation as an essential aspect.Course content: The main topic is metric spaces, particularly compact and complete spaces, and the analysis of continuous mappings between such spaces as well as convergence of functional sequences and series. In particular, we obtain the principal theorems for continuous real-valued functions on The extension of the concept of integral to the Riemann-Stieltjes integral and the elements of measure theory and Lebesgue integration theory are other topics covered.Course literature: Rudin, W: Principles of mathematical Analysis. McGraw-Hill (studentedition). | ||
| TEN1 | Written examination, 3 p. | |