100222 Linear Algebra II

Course offering details

Instructors: Dr. Stefan Maubach

Type: Lecture

Org-unit:

Course Name Abbreviation: LinAlg II

Hours per week: 3

Credits: 7.50

Min. | Max. participants: - | -

Partial Grades:
Final Grade

Official Course Description:
This course continues Analysis I and complements 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 skewsymmetric
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
  • Linear Algebra and Geometry
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, 3. Feb. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
2 Wed, 5. Feb. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
3 Mon, 10. Feb. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
4 Wed, 12. Feb. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
5 Mon, 17. Feb. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
6 Wed, 19. Feb. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
7 Mon, 24. Feb. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
8 Wed, 26. Feb. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
9 Mon, 3. Mar. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
10 Wed, 5. Mar. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
11 Mon, 10. Mar. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
12 Wed, 12. Mar. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
13 Mon, 17. Mar. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
14 Wed, 19. Mar. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
15 Mon, 24. Mar. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
16 Wed, 26. Mar. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
17 Mon, 31. Mar. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
18 Wed, 2. Apr. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
19 Mon, 7. Apr. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
20 Wed, 9. Apr. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
21 Wed, 23. Apr. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
22 Mon, 28. Apr. 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
23 Wed, 30. Apr. 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
24 Mon, 5. May 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
25 Wed, 7. May 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
26 Mon, 12. May 2014 11:15 12:30 West Hall 4 Dr. Stefan Maubach
27 Wed, 14. May 2014 14:15 15:30 West Hall 4 Dr. Stefan Maubach
28 Fri, 23. May 2014 16:00 18:00 East Hall 4 Dr. Stefan Maubach
Course specific exams
Description Date Instructors Mandatory
1. Final Grade No Date Yes
2. Final Grade No Date Yes
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