Master's Programme in Applied and Computational Mathematics
Objectives and content
Applied and Computational Mathematics (ACM) is a field in which mathematics is used to solve practical and theoretical problems for different applied areas. Applied problem areas are often found within the natural sciences, in industry, resource management, medical image processing and other areas. The relevant problems are described mathematically in one or more equations through a modelling process. These equations are solved by using numerical tools, and the results are used to improve the understanding of the original problems. Another essential part of the field includes basic method development within applied mathematics, where one examines how different classes of mathematical problems can be represented and solved efficiently by using computers.
An education in Applied and Computational Mathematics enables the student to solve practical problems within different applied areas by using mathematical modelling, analysis and numerical calculation. Moreover, the student is taught a theoretical fundament which contributes to the understanding of relevant academic literature and how to make use of new methods and results in applied work.
The Master programme in ACM has two mandatory courses, both offered in the spring semester: MAT252 Continuum Mechanics and MAT260 Scientific Computing 2. For course recommendations, see specializations below and course lists at the bottom of the page. The Master programme usually consists of 60 ECTS courses and a 60 ECTS Master's thesis, alternative 90 ECTS courses and a 30 ECTS thesis.
The master thesis in ACM can be written within one of the following specializations: applied analysis, image processing, fluid mecanics and ocean modelling, inverse problems, mechanics and dynamical systems, environmental mathematics, numerical mathematics, computational science, or reservoir mathematics:
- Applied Analysis: involves developing of analytical and constructive methods for solving differential- and integral equations from several areas of application. Recommended previous knowledge: MAT211, MAT213, MAT230. Central courses: MAT211, MAT234.
- Image Processing: involves development and analysis of numerical methods for processing images from medical research, data technology and similar large simulation tasks. Recommended previous knowledge: STAT110, MAT213, MAT261. Central courses: MAT234, MAT262, INF270.
- Fluid mechanics and ocean modelling: involves analytical and numerical studies of waves and flow on an industrial and geophysical scale. A backgound in physical oceanography is useful for studying ocean currents. Recommended previous knowledge: MAT213, MAT230, MAT252. Central courses: MAT234, MAT253.
- Inverse problems: involves estimations of magnitudes based on indirect measures, for instance dynamical reservoir characterization and monitoring. Recommended previous knowledge: STAT110, MAT230. Central courses: MAT234, MAT254, MAT265.
- Mechanics and Dynamical systems: involves modelling of physical and biological systems emphasizing correlations between processes on the microscopic and macroscopic level. Recommended previous knowledge: MAT213, MAT230. Central course: MAT251.
- Environmental Mathematics: involves problems associated with intervention and management of the environment. Modelling and differential equations are central subjects. Recommended previous knowledge: MAT213, MAT230, MAT260. Central courses: MAT234, MAT254.
- Numerical Mathematics: involves development and discussion of numerical methods used in computational tasks. Recommended previous knowledge: MAT213, MAT230, MAT260. Central courses: MAT236, MAT261, MAT360.
- Computational Science: uses calculations/computations to seek insight in complex phenomenon not easily found by theoretical vurderinger and laboratory experiments alone. Modelling, simulation and visualization are used. Recommended previous knowledge: MAT230, MAT260. Central courses: MAT261, MAT360.
- Reservoir Mathematics: involves analytical and numerical studies of flow in oil reservoirs. These are problems encountered when extracting oil and gas. Recommended previous knowledge: MAT213, MAT230, MAT260. Central courses: MAT234, MAT254.
Course list: http://www.uib.no/en/math/courses
Autumn and spring.
How to Apply
A bachelor's degree with the following minimum of mathematical prerequisite knowledge: at least 60 ECTS of Mathematics and 10 ECTS of Programming, corresponding to the topics taught in our courses MAT111 - Calculus I, MAT112 - Calculus II, MAT121 - Linear Algebra, MAT131 - Differential Equations I, MAT212 - Functions of Several Variables, INF100 Programming I + at least one of the courses MAT213 - Functions of a Complex Variable, MAT230 - Nonlinear Differential Equations , MAT251 - Classical Mechanics, MAT252 - Continuum Mechanics , MAT160 - Scientific Computing I, STAT110 - Basic Course in Statistics.
Recommended prerequisite knowledge is MAT160, MAT213 and MAT230. It is important to document the content and learning outcomes of the central mathematics subjects, either with attached course descriptions or with link to web pages where course descriptions can be found.
The minimum requirement is grade C or better (according to the Norwegian grading system) in the courses that are required. If there are more applicants to a program than there are vacant places, applicants will be ranked according to grades in their application for admission.
For applicants residing in Norway
The minimum requirement is grade C or better (according to the Norwegian grading system, corresponding to B- for most international grading systems) in the courses that are required. If there are more applicants to a program than there are vacant places, applicants will be ranked according to grades in their application for admission.
For international applicants residing abroad
The Master's Degree Programme in Applied and Computational Mathematics recieves more applications from international students each year than there are places available.
The average grade of the Bachelor's degree must be at least 2nd class upper division/B or the equivalent.
How many places?
Up to 5 places are reserved for qualified international applicants in the Master's Programme in Applied and Computational Mathematics.
Follow the guidelines on how to apply depending on which applicant group you belong to.
Autumn and spring.
|Optional subject (krav 40 SP)|
|You should choose subjects in consultation with your academic supervisor.|
|Master thesis (krav 60 SP)|
|Course code||Course title||SP||S||R|
|MAB399||Master's Thesis in Mathematics||60||1–4||3|
|Remember to fill out the Supervisor agreement (Education plan, part 1) .|
|Supervisor agreement - remember to fill out the plan.|
|SP = ECTS credits, S = Semester, R = Recommended semester|