MAT-01266 Mathematics 2, 5 cr

Vastuuhenkilö

Robert Piche

Opetus

Toteutuskerta Periodi Vastuuhenkilö Suoritusvaatimukset
MAT-01266 2019-01 2 Robert Piche
Jaakko Pihlajasalo
Final exam, weekly exercises, and MATLAB Fundamentals self-paced training course in MATLAB Academy.

Osaamistavoitteet

On this course the students learn the basic methods of vector and matrix algebra. The students learn how to justify their claims using mathematical methods and to present their solutions orally as well as in written form.

Sisältö

Sisältö Ydinsisältö Täydentävä tietämys Erityistietämys
1. Vectors in R^n: the dot product, length, angle, orthogonality, and projection onto a vector. Lines and planes.     
2. Systems of linear equations: solving using Gaussian elimination.     
3. Spanning sets and linear independence, subspaces, basis, and dimension.      
4. Matrices: matrix algebra, the inverse, the determinant, the cross product. Eigenvalues and eigenvectors.  Linear transformation and the standard matrix. The scalar triple product. Similarity and diagonalization.   
5. Orthogonality, orthogonal complement, orthogonal projection.  Gram-Schmitd process. Orthogonal diagonalization of a symmetric matrix. Least squares approximation.   
6.   Using Matlab as a tool in solving the exercise problems.   

Oppimateriaali

Tyyppi Nimi Tekijä ISBN URL Lisätiedot Tenttimateriaali
Book   Linear Algebra, A Modern Introduction (2nd ed.)   Poole       Available in library for period-loan.   Yes   

Esitietovaatimukset

Opintojakso P/S Selite
MAT-01166 Mathematics 1 Mandatory    

Vastaavuudet

Opintojakso ei vastaan mitään toista opintojaksoa

Päivittäjä: Piche Robert, 12.06.2019