Course - Mathematical methods 3 for computer engineers - IMAT2150
IMAT2150 - Mathematical methods 3 for computer engineers
Examination arrangement: School exam
Grade: Letter grades
|Evaluation||Weighting||Duration||Grade deviation||Examination aids|
|School exam||100/100||4 hours||C|
- Vector spaces and linear transformations Subspaces of Rn, base and dimension. General vector spaces, function spaces and norms. Matrix transformations, null spaces and column spaces. Application: Fourier series and solution of partial differential equations.
- Differential equations with solution methods.
- Numerical methods General numerics: Representations of floating point numbers in the computer, calculations with floating point numbers and various sources of error. Error magnification and condition. Convergence rate
- Direct methods:
- Solution of linear equation systems, PA = LU factorization, least squares method
- Interpolation with cubic splines, Bezier curves.
- Iterative methods:
- Newton's multivariate method
- Solution of linear equation systems (Jakobi, conjugate gradients)
- Calculation of eigenvalues and eigenvectors (power method)
- Solution of some types of differential equations, Runge-Kutta.
The candidate has a good knowledge of subspaces of Rn and linear transformations between finite-dimensional real vector spaces. The candidate has knowledge about general vector spaces and linear transformations. The candidate is familiar with common sources of error in numerical calculations. The candidate is accustomed with relevant IT applications of mathematics in the subject.
The candidate can complete induction proofs. The candidate can solve some types of first and second order difference equations. The candidate can solve linear and non-linear systems numerically. The candidate can solve problems with least squares method. The candidate can interpolate. The candidate can calculate eigenvalues and eigenvectors numerically. The candidate can solve some types of differential equations numerically.
The candidate can use mathematics to communicate engineering issues, with the main emphasis on information technology. The candidate understands that the level of precision in the mathematical language makes it suitable to structurize and solve engineering problems.
Learning methods and activities
Lectures and exercises.
80% of the obligatory exercises need to be approved for exam admission.
Further on evaluation
Re-sit Exam: March.
Retake of examination may be given as an oral examination.
Admission to a programme of study is required:
Computer Science (BIDATA)
Recommended previous knowledge
IMAA1001, IMAG1001 or IMAT1001, Mathematical methods 1,
IMAA1001, IMAG2021 or IMAT2021, Mathematical methods 2 for Computer engineering
Credits: 7.5 SP
Study level: Third-year courses, level III
Term no.: 1
Teaching semester: AUTUMN 2022
Language of instruction: -
Department with academic responsibility
Department of Mathematical Sciences
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 C 2022-12-13 09:00 INSPERA
Room Building Number of candidates SL520 Sluppenvegen 14 7 SL228 Sluppenvegen 14 1 SL430 Sluppenvegen 14 54
- Spring UTS School exam 100/100 C 2023-03-13 09:00 INSPERA
Room Building Number of candidates SL311 orange sone Sluppenvegen 14 10
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"