MAT-01266 Mathematics 2, 5 cr

Person responsible

Robert Piche

Lessons

Implementation Period Person responsible Requirements
MAT-01266 2019-01 2 Robert Piche
Jaakko Pihlajasalo
Final exam, weekly exercises, and MATLAB Fundamentals self-paced training course in MATLAB Academy.

Learning Outcomes

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.

Content

Content Core content Complementary knowledge Specialist knowledge
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.   

Study material

Type Name Author ISBN URL Additional information Examination material
Book   Linear Algebra, A Modern Introduction (2nd ed.)   Poole       Available in library for period-loan.   Yes   

Prerequisites

Course Mandatory/Advisable Description
MAT-01166 Mathematics 1 Mandatory    

Correspondence of content

There is no equivalence with any other courses

Updated by: Piche Robert, 12.06.2019