# MATH280 Applied Linear Algebra

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#### Showing course contents for the educational year 2016 - 2017 .

Course responsible: Ulf Geir Indahl
Teachers: John Andreas Wyller
ECTS credits: 10
Faculty: Faculty of Science and Technology
Teaching language: EN, NO
(NO=norsk, EN=Engelsk)
Teaching exam periods:
This course starts in Spring parallel. This course has teaching/evaluation in the spring parallel, .
Course frequency: Annually. Minimum 10 students.
First time: Study year 2009-2010
Course contents:
The most important parts of each topic are covered in lectures. Thereafter the students are given exercises on the same topics. The aims of the exercises are for students to understand methods and ideas as well as to be able to apply the subject various subjects to relevant problems.
Learning outcome:

Theoretical understanding of the basic methods in applied linear algebra, selected optimization problems and insight in selected practical applications, i.e:

• Numerical aspects associated with solving Linear Equations
• Vector Spaces and Linear Transformations
• Diagonalization and change of Change of Coordinate Basis
• Inner Products, Length, Orthogonality and Inner Product Spaces
• Orthogonal Projections and Least-Squares Problems
• The Singular Value Decomposition

Some possible applications:

• Constrained Optimization
• Linear Regression (Principal Component Regression, Ridge Regression, Weighted Least Squares, Partial Least Squares)
• Dynamical Systems
• Linear Programming
• Image Analysis
• Economical analysis
Learning activities:
The teaching is given as lectures of the person responsible for the course and practical excercises.
Teaching support:
The students can contact the teacher responsible for the course at the teacher's office, by telephone or by e-mail.
Syllabus:
Announced at the first lecture.
Prerequisites:
MATH113 or MATH131
Recommended prerequisites:
MATH111, MATH112, basic skills in MATLAB or a similar software package.
Mandatory activity:
Two semester assignments are part of the ongoing evaluation.
Assessment:
Continuous exam. Two compulsory assignments (40% weight) + final writtenexam, 3.5 hours (60% weight).