5033.17 - Linear Algebra for Software Engineers
Linear Algebra for Software Engineers
Upper secondary school with mathematics at B-level
The purpose with the course is to give the students basic knowledge and skills in linear algebra for use in connection with information and communication technology as well as a foundation for further studies.
Systems of linear equations and linear maps. Matrixalgebra. Vektor spaces. Eigenvalue problems. Symmetric and orthogonal matrices. Geometry in 2 and 3 dimensions. Project writing. Usage of Maple.
Learning and teaching approaches
Lectures, individual work and exercises sessions.
At the end of the course, the student should be able to: • Use matrix calculus and Gauss elimination to solve systems of linear equations. • Analyze and explain the set of solutions in a vector space using the structure theorem. • Use vectors and matrices to describe 3D geometry - as part of this for applications such as computer graphics. • Solve 2D og 3D problems in Euclidian geometry, such as set of intersection points distance between mathematical objects such as planes and lines. • Be able to use mathematical terminology and reasoning in written form. • Organize cooperation in a project group about mathematical subjects and methods in a small project. • Use symbolic software-tool, at the time Maple, to solve and to illustrate mathematical problems.
Mandatory assignments, that have to be approved before examination. Grade is based on: 1) Individual assignments, 2) Tests, 3) Solution of a project in groups. Reexamination is a 4 hour written exam with all auxiliary material allowed except for electronic devices.
Gerald Farin (Author), Dianne Hansford (Author), Practical Linear Algebra: A Geometry Toolbox, Third Edition Hardcover – 18 Sep 2013. ISBN-13: 978-1466579569 and lecture notes from DTU.