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406-0141-AAL  Linear Algebra and Numerical Analysis

SemesterAutumn Semester 2016
LecturersR. Käppeli, V. C. Gradinaru
Periodicityevery semester recurring course
Language of instructionEnglish
CommentEnrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.



Catalogue data

AbstractIntroduction to Linear Algebra and Numerical Analysis for Engineers. This reading course is based on chapters from the book "Introduction to Linear Algebra" by Gilbert Strang (SIAM 2009), and "A first Course in Numerical Methods" by U. Ascher and C. Greif (SIAM, 2011).
ObjectiveTo acquire basic knowledge of Linear Algebra and some aspects of related numerical metjhods and the ability to apply basic algorithms to simple problems.
Content* Linear systems of equations: Gaussian elimination, row echelon form, theory abiut existence and uniqueness of solutions (Strang Ch. 2 and 3.4)
* Mathematical modelling by linear systems (e.g. networks, trusses) (Strang, parts of Ch. 8)
* Column space, null space and rank of matrices
(Strang 3.2, 3.3)
* linear combinations, linear (in)dependence, bases, dimension theorem for matrices
(Strang 3.5, 3.6)
* inner product, orthogonality, length in Euclidean space
(Strang 4.1, 4.2)
* Least squares solutions and orthogonalization (Gram-Schmidt and QR)
(Strang 4.3, 4.4)
* Linear mappings, matrix representation and change of basis
(Strang Ch. 7)
* Determinants and diagonalization of matrices (eigenvalues and eigenvectors)
(Strang 6.1, 6.2, 6.5, 6.6)
* Diagonalization applied to linear differential and difference equations.
(Strang 6.3)
* Numerical methods for solving linear systems of equations
(Ascher/Greif 5.1, MATLAB Documentation of \)
* Interpolation with polynomials and splines (Ascher/Greif Ch. 10 and 11)
LiteratureGilbert Strang, Introduction to Linear Algebra, 4th ed., SIAM & Wellesley-Cambridge Press, 2009.

U. Ascher and C. Greif, A first Course in Numerical Methods", SIAM, 2011.
Prerequisites / NoticeKnowledge of elementary calculus

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits5 credits
ExaminersR. Käppeli, V. C. Gradinaru
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 120 minutes
Additional information on mode of examinationTakes place as a written session examination simultaneously with the session examination for the course unit 401-0141-00L.
Written aids20 pages DIN A4 in your own handwriting, no printouts, no copies. No other material admitted.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Courses

NumberTitleHoursLecturers
406-0141-AA RLinear Algebra and Numerical Analysis
Self-study course. No presence required.
150s hrsR. Käppeli, V. C. Gradinaru

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Geomatic Engineering MasterCourse Units for Additional Admission RequirementsE-Information