Valid for: 2024/25
Faculty: Faculty of Engineering LTH
Decided by: PLED F/Pi
Date of Decision: 2024-04-15
Effective: 2024-05-08
Depth of study relative to the degree requirements: Second cycle, in-depth level of the course cannot be classified
Elective for: BME4, F4, F4-bs, F4-bg, MMSR2, Pi4-bs, Pi4-bam
Language of instruction: The course will be given in English
The course provides theoretical understanding of some very useful algorithms. The course also provides hands-on experience of implementing these algorithms as computer code and of using them to solve applied problems. Upon completion of the course the student shall have substantially better and more useful knowledge of numerical linear algebra than students who only have completed a regular basic course in scientific computing. The course should also stimulate continued independent study.
Knowledge and understanding
For a passing grade the student must
Competences and skills
For a passing grade the student must
Judgement and approach
For a passing grade the student must
The course is a follow-up to the basic course Linear Algebra. We teach how to solve practical problems using modern numerical methods and computers. Central concepts are convergence, stability, and complexity (how accurate the answer will be and how rapidly it is computed). Tools include matrix factorization and orthogonalization. The algorithms covered can, among other things, be used to solve such very large systems of linear equations as arise when discretizing partial differential equations, and to compute eigenvalues.
Grading scale: TH - (U, 3, 4, 5) - (Fail, Three, Four, Five)
Assessment: Oral exam.
The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.
Modules
Code: 0107. Name: Numerical Linear Algebra.
Credits: 7.5. Grading scale: TH - (U, 3, 4, 5).
Assumed prior knowledge:
Basic course in numerical analysis and FMAF10 Applied Mathematics - Linear Systems. Experience of programming in Matlab or Python/NumPy.
The number of participants is limited to: No
Kursen överlappar följande kurser:
NUMA11
NUMB11
Course coordinator: Philipp Birken,
Philipp.Birken@math.lu.se
Teacher: Andreas Langer,
Andreas.Langer@math.lth.se
Director of studies: Studierektor Anders Holst,
Studierektor@math.lth.se
Course administrator: Studerandeexpeditionen,
expedition@math.lth.se
Course homepage: https://canvas.education.lu.se/courses/20394