MAT1060 – Mathematics for applications 2
Course description
Schedule, syllabus and examination date
Course content
The course provides an introduction to the use of mathematics as a tool for understanding physical processes. The main emphasis is on linear algebra, in particular as a tool for understanding discrete dynamical processes. Emphasis is also placed on the use of digital tools to visualize the theory and to perform quantitative computations within the models.
Learning outcome
After completing the course you
- will have skills in vector calculus, matrices and elementary spectral theory
- are able to use linear algebra to establish dynamical models, and to study stability and equilibrium
- are trained in the use of digital tools to perform computations in linear algebra
- know about general vector spaces of arbitrary dimension, including function spaces of infinite dimension
- are familiar with the concepts of inner product, orthogonality and their applications
- know about linear maps between vector spaces in general, how they may be represented, and their basic properties
- have knowledge about how one can study symmetries via group theory, you know what a permutation is, and you have basic knowledge in abstract group theory
- have knowledge about how symmetry groups can be studied through their representations on complex vector spaces
- know how characters can be used in the classification of representations of the symmetry groups
- know what crystalline structures are, and how they can be studied by means of group theory.
Admission to the course
Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for?in Studentweb.
Special admission requirements
In addition to fulfilling the?Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:
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Mathematics R1 (or Mathematics S1 and S2)
And in addition one of these:
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Mathematics R2
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Physics (1+2)
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Chemistry (1+2)
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Biology (1+2)
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Information technology (1+2)
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Geosciences (1+2)
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Technology and theories of research (1+2)
The special admission requirements may also be covered by?equivalent studies from Norwegian upper secondary school or by other equivalent studies?(in Norwegian).
Recommended previous knowledge
Overlapping courses
- 5 credits overlap with MAT1001 – Mathematics 1 (discontinued).
- 3 credits overlap with MAT1110 – Calculus and Linear Algebra.
- 3 credits overlap with MAT1012 – Mathematics 2 (discontinued).
Teaching
4 hours of lectures and 2 hours of problem solving in plenum per week throughout the semester.
Examination
Final written exam which counts 100 % towards the final grade.?
This course has 2 mandatory assignments that must be approved before you can sit the final exam.
Examination support material
One sheet of paper (A4) with handwritten or printed text on both sides and an approved calculator.
Information about approved calculators (Norwegian only)
Language of examination
The examination text is given in Norwegian. You may submit your response in Norwegian, Swedish, Danish or English.
Grading scale
Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.