Admission requirements
Not applicable.
Description
In this course we introduce vector spaces and their dimension. Further properties of matrices are studied such as their null space, their column space, rank, eigenvalues, and eigenvectors, leading to matrix diagonalisation. Furthermore, the concepts of orthogonality, including the Gramm-Schmidt algorithm, and the distance between vectors is covered.
Course objectives
To gain insight into mathematical methods and techniques concerning the study of linear transformations, vector paces, and the properties of matrices. Studying applications such as the least square method for the approximation of solutions for linear systems.
Timetable
The most updated version of the timetables can be found on the students' website:
You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudymap will automatically be displayed in MyTimetable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.
MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).
For more information, watch the video or go the the 'help-page' in MyTimetable. Pleas note: Joint Degree students Leiden/Delft have to merge their two different timetables into one. This video explains how to do this.
Mode of instruction
"There will be a weekly lecture and also a weekly problem session (tutorial). In order to help students judge their understanding of the material, there will be weekly tests, consisting of both homework and online quizes. During the problem sessions, the students also have the opportunity to ask questions about the material covered so far."
Assessment method
As well as the weekly tests, there will be a final examination. The final grade for the course will be an average of the grades from the weekly test and the grade for the final exam; the exam will count for 75%, and the tests for 25%.
The lecturer will inform the students how the inspection of and follow-up discussion of the exams will take place.
Reading list
David. C. Lay: *Linear Algebra and its Applications, Addison-Wesley. *
This book will be required for the course; weekly problem sessions will be based on it, and essential reading will be set from it. The 5th international edition is recommended, but other editions are also OK, just be aware that the page numbers for the required reading may be incorrect.
Registration
From the academic year 2022-2023 on every student has to register for courses with the new enrollment tool MyStudymap. There are two registration periods per year: registration for the fall semester opens in July and registration for the spring semester opens in December. Please see this page for more information. An exemption is the fall semester for 1st year bachelor students, the student administration will enroll this group.
Please note that it is compulsory to both preregister and confirm your participation for every exam and retake. Not being registered for a course means that you are not allowed to participate in the final exam of the course. Confirming your exam participation is possible until ten days before the exam.
Extensive FAQ on MyStudymap can be found here.
Contact
Education coordinator LIACS bachelors
Remarks
Not applicable.