MAT4110 – Introduction to Numerical Analysis
Course description
Schedule, syllabus and examination date
Course content
The course gives insight into theory and algorithms for fundamental mathematical problems associated with systems of equations, optimization, and approximation of functions. There are many applications, for example, the representation of geometry, images, and more generally large data sets. Applications in various areas of the natural sciences are an essential part of the course. The subject assumes familiarity with linear algebra and calculus of several variables.
Learning outcome
After completing the course you
- will have knowledge of important numerical methods, including strategies both for constructing methods and analyzing them, often with the help of linear algebra
- will have knowledge of the limitations of various mathematical approximations and the effect of computer rounding errors
- will have knowledge of some concrete methods for solving various kinds of equation systems and non-linear optimization problems and methods for approximating functions with the help of simpler functions, such as polynomials, piecewise polynomials, and trigonometric functions
- you will master effective programming of numerical methods
- you will master numerical methods to solve practical problems, including interpretation and analysis of the results and understanding of the importance of reproducibility
- you will master the presentation and communication of the results of computations
- you will master LaTeX as a typesetting tool for academic writing in mathematics.
Admission to the course
Students admitted at UiO must?apply for courses?in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.
Nordic citizens and applicants residing in the Nordic countries may?apply to take this course as a single course student.
If you are not already enrolled as a student at UiO, please see our information about?admission requirements and procedures for international applicants.
Recommended previous knowledge
Overlapping courses
- 10 credits overlap with MAT3110 – Introduction to Numerical Analysis.
- 10 credits overlap with MAT-IN3110 – Introduction to numerical analysis (continued).
- 5 credits overlap with MAT-INF2360 – Applications of Linear Algebra (discontinued).
- 5 credits overlap with MAT-INF4130 – Numerical Linear Algebra (discontinued).
Teaching
4 hours of lectures and 2 hours of exercises sessions per week throughout the semester.
Examination
Final written exam or final oral exam, which counts 100 % towards the final grade.
The form of examination will be announced by the lecturer by 1 October/1 March for the autumn semester and the spring semester respectively.
This course has 2 mandatory assignments that must be approved before you can sit the final exam. Mandatory assignments must be written with a typesetting software for writing mathematics (e.g. LaTeX).
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MAT3110 – Introduction to Numerical Analysis
Examination support material
No examination support material is allowed.
Language of examination
Courses taught in English will only offer the exam paper in English. 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.