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MATH280 Applied Linear Algebra

Credits (ECTS):10

Course responsible:Geir Bogfjellmo

Campus / Online:Taught campus Ås

Teaching language:Engelsk

Course frequency:

Annually.

The course is given for the last time spring 2025.

Nominal workload:

Lectures: 54 hours

Plenary sessions: 24 hours

Weekly exercises: 72 hours

Self-study: 100 hours

Teaching and exam period:This course starts in Spring parallel. This course has teaching/evaluation in the spring parallel, .

About this course

Theory

Basic concepts and methods in applied linear algebra, including:

  • Numerical Solutions of Linear Equations
  • Vector Spaces and Linear Transformations
  • Diagonalization and change of basis
  • Inner Products, Norm, Orthogonality and Inner Product Spaces
  • Orthogonal Projections and Least-Squares Problems
  • The Gram-Schmidt Process and QR-factorization
  • The Singular Value Decomposition
  • Stability of solutions

Applications

Examples of practical applications, including:

  • Optimization
  • Linear Regression
  • Principal Component Analysis and Dimension Reduction
  • Dynamical Systems, including Markov Chains

Learning outcome

Knowledge

After completing the course, the student will understand important concepts in linear algebra, specifically under the points mentioned in the course content.

Skills The student will be able to apply the methods from the course to analyze models and solve practical problems where these methods are relevant.

General competence

The student will be able to use computer tools to do calculations and apply methods of linear algebra.

  • Learning activities
    • Lectures covering the theory and practical problem solving
    • Exercises and plenary sessions where the students will test their understanding and practice their skills.
  • Teaching support

    Canvas is used for the course.

    The teacher responsible can be contacted at their office or by e-mail.

  • Prerequisites
    MATH113 or MATH131
  • Recommended prerequisites
    MATH111, MATH112, basic skills in Python/NumPy or a similar programming language.
  • Assessment method
    Final written exam, 3.5 hours.

    One written test Grading: Letter grades Permitted aids: B1 Calculator handed out, no other aids
  • Examiner scheme
    The external and internal examiner jointly prepare the exam questions and the correction manual. The external examiner reviews the internal examiner's examination results by correcting a random sample of candidate's exams as a calibration according to the Department's guidelines for examination markings.
  • Mandatory activity
    No compulsory activities.
  • Teaching hours
    Lectures: 4 hours per week. Plenary session 2 hours per week.
  • Reduction of credits
    10 credits reduction against MATH260
  • Admission requirements
    MATH113/MATH131 or a similar linear algebra course.