## Linear Algebra

 Faculteit University College Groningen Jaar 2019/20 Vakcode UCG1SC02 Vaknaam Linear Algebra Niveau(s) bachelor Voertaal Engels Periode semester II a ECTS 5 Rooster rooster.rug.nl

Uitgebreide vaknaam Linear Algebra
Leerdoelen Upon completing this course you will be able to:
• solve systems of linear equations using methods such as Gauss-Jordan elimination and interpret the solutions of homogenous systems
• perform matrix operations including addition, multiplication, transposition and inversion and recognize the use of matrix operations in linear transformations
• calculate the determinant of a matrix and apply Cramer’s rule to solve systems of linear equations
• demonstrate an understanding of basic concepts including vectors, subspaces, vector spaces, linear independence, and span
• determine the dimension and base of a finite-dimensional vector space and show the connections between basis of two vector spaces
• find the eigenvalues and eigenvectors of a matrix and compute its diagonalization
• demonstrate an understanding of the concepts including inner product, length and orthogonality and orthogonalize vectors using Gram-Schmidt process
• transfer the theory developed in the lectures to computer applications using MATLAB
• develop problem solving skills to quantitatively analyse the problems and their solutions arising in physical, life and social sciences areas
Omschrijving This course is an introduction to linear algebra, one of the most exciting and applicable branches of mathematics. The topics will be covered are systems of linear equations, matrices, vector spaces, determinants, linear transformations, eigenvalues, eigenvectors and orthogonality. Many mathematical problems encountered in business or sciences involve solving a system of linear equations. For example Google uses linear systems with billions of unknowns to search effectively, while Netflix algorithm tries to give us accurate recommendations with the use of linear algebra. The main goal of this course is to establish connections between the mathematical theory and other disciplines. We aim to achieve this by solving real-life problems in areas such as business, economics, demography, genetics, computer science, data analytics and physics. Working with data sets is important to gain more insight on real-world phenomena. The advancements in technology let us to perform computations very quickly. Since the software package MATLAB was developed specifically for matrix operations, we will be using MATLAB to apply the methods of linear algebra to the computer projects with large data sets.
Uren per week variabel
Onderwijsvorm Lecture, Practical, Tutorial
Toetsvorm Assignments, Written exam
Vaksoort bachelor
Coördinator W.S. Rossi, PhD.
Docent(en) W.S. Rossi, PhD.
Verplichte literatuur
Titel Auteur ISBN Prijs
Linear Algebra and its Application,Edition: 5th edition (Global edition) David C. Lay, Steven R. Lay, Judi J. McDonald 978-1-292-09223-2 ca. €  70,00
Entreevoorwaarden
Opmerkingen This course counts as either a Science course or a Social Sciences course
Opgenomen in
Opleiding Jaar Periode Type
Liberal Arts and Sciences  (Year 1) - semester II a keuzegroep
Mind Machines and Morality  (Compulsory) - semester II a verplicht
Smart Technologies  (Compulsory) - semester II a verplicht