100222 Linear Algebra II

Course offering details

Instructors: Dr. Stefan Maubach

Type: Lecture

Org-unit:

Course Name Abbreviation: Lin Algebra II

Hours per week: 3

Credits: 7.50

Min. | Max. participants: - | -

Partial Grades:
Final Grade

Official Course Description:
This course continues 100211 Linear Algebra I and complements 100202 Analysis II. It continues with the classification of matrices and introduces elements of tensor algebra.
In the first part, we continue the discussion of endomorphisms, discussing the Cayley-Hamilton Theorem and minimal polynomials, and giving some versions of Jordan normal form over non-algebraically closed fields.
The second part of the course deals with dual spaces and quadratic, symmetric and skew-symmetric forms. We introduce the dual vector space and dual linear maps and their relation with bilinear forms. Classifications are given of symmetric and skew-symmetric real bilinear forms and of Hermitian and skew-Hermitian forms over the complex numbers.
The last part is concerned with tensors - objects that play an important role in many branches of physics and mathematics. The tensor product of two (or more) vector spaces is introduced and properties are discussed including the universal property, contraction of tensors, `outer' and `inner' products, and the relationship between linear maps and tensors.

Literature
Primary Text
Required Reading (To view a list click a category.)
Recommended Reading (To view a list click a category.)
Appointments
Date From To Room Instructors
1 Mon, 4. Feb. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
2 Wed, 6. Feb. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
3 Mon, 11. Feb. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
4 Wed, 13. Feb. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
5 Mon, 18. Feb. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
6 Wed, 20. Feb. 2013 13:00 15:30 East Hall 4 Dr. Stefan Maubach
7 Mon, 25. Feb. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
8 Wed, 27. Feb. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
9 Mon, 4. Mar. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
10 Wed, 6. Mar. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
11 Mon, 11. Mar. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
12 Wed, 13. Mar. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
13 Mon, 18. Mar. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
14 Wed, 20. Mar. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
15 Wed, 3. Apr. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
16 Mon, 8. Apr. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
17 Wed, 10. Apr. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
18 Mon, 15. Apr. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
19 Wed, 17. Apr. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
20 Mon, 22. Apr. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
21 Wed, 24. Apr. 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
22 Mon, 29. Apr. 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
23 Mon, 6. May 2013 11:15 12:30 East Hall 4 Dr. Stefan Maubach
24 Wed, 8. May 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
25 Mon, 13. May 2013 11:15 14:00 East Hall 4 Dr. Stefan Maubach
26 Wed, 15. May 2013 14:15 15:30 East Hall 4 Dr. Stefan Maubach
27 Fri, 24. May 2013 12:30 14:30 West Hall 4 Dr. Stefan Maubach
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date No
Contained in course catalogues
Course catalogue
Course Catalogue > School of Engineering and Science > Mathematical Sciences > Undergraduate Level Courses
Class Session Overview
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Instructors
Dr. Stefan Maubach