MATH-111(en) / coefficient 6

Teacher: Iseli Annina Ursula

Language: English

## Summary

The purpose of the course is to introduce the basic notions of linear algebra and its applications.

## Content

1. Linear systems;
2. Matrix algebra;
3. Vector spaces;
4. Bases and dimension;
5. Linear applications and matrices;
6. Determinant of a matrix;
7. Eigenvalues and eigenvectors;
8. Inner product, orthogonality, quadratic forms;
9. Orthogonal & Symmetric Matrices
10. Additional topics (incl. singular value decomp.)

## Keywords

vector space, linearity, matrix, determinant, orthogonality, inner product

## Learning Outcomes

By the end of the course, the student must be able to:

• Accurately make standard computations relevant to linear algebra and interpret the results;
• Define and provide illustrative examples of relevant theoretical notions;
• Identify examples of relevant theoretical notions;
• Construct a simple logical argument rigorously;
• Identify some connections between linear algebra and other branches of mathematics.

## Teaching methods

Lectures and exercises in the classroom

Written exam

## Supervision

 Office hours No Assistants Yes Forum Yes

## Bibliography

Linear Algebra and its Applications / D.C. Lay etal, preferably 5th edition

## Prerequisite for

Analysis II, III and IV, Numerical Analysis Statistics

## In the programs

• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory
• Semester: Fall
• Number of places: 257
• Exam form: Written (winter session)
• Subject examined: Linear algebra (english)
• Lecture: 4 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory

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