Mathematical Analysis (MAT310)
The course covers fundamentals of mathematical analysis with focus on complex analysis.
Course description for study year 2023-2024. Please note that changes may occur.
Facts
Course code
MAT310
Version
1
Credits (ECTS)
10
Semester tution start
Autumn
Number of semesters
1
Exam semester
Autumn
Language of instruction
English
Time table
Content
Elements of mathematical logic, basic topological notions, analytic and harmonic functions of a complex variable, Cauchy-Riemann conditions, Cauchy's integral theorem and integral formulas, Taylor and Laurent series representations, classification of isolated singularities and residue theory.
Learning outcome
Upon completing this course students should be able to:
- Clearly understand what is meant by a mathematical proof, and how to communicate mathematical arguments clearly in the form of a mathematical proof.
- Understand basic topological notions (closed, open, connected and compact sets, convergence, continuity).
- Get operational knowledge of analytic and harmonic functions, including maximum principle and integral representations.
- Determine Taylor and Laurent series of elementary analytic functions, find their zero points and singularities, and get knowledge of residue theory and its applications.
Required prerequisite knowledge
MAT100 Mathematical Methods 1
Recommended prerequisites
MAT200 Mathematical Methods 2, MAT210 Real and Complex Calculus, MAT300 Vector Analysis
Exam
| Form of assessment | Weight | Duration | Marks | Aid |
|---|---|---|---|---|
| Written exam | 1/1 | 4 Hours | Letter grades | No printed or written materials are allowed. Approved basic calculator allowed |
Course teacher(s)
Course coordinator:
Helge Paul RuddatHead of Department:
Bjørn Henrik AuestadMethod of work
6 hours lectures/problem solving per week.
Overlapping courses
| Course | Reduction (SP) |
|---|---|
| Mathematical Analysis (BMA100_1) | 5 |
| Mathematics 5 - Complex analysis (ÅMA310_1) | 5 |
Open for
Admission to Single Courses at the Faculty of Science and Technology
Mathematics and Physics - Five Year Integrated Master's Degree Programme
Exchange programme at Faculty of Science and Technology
Course assessment
There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.