Introductory courses in Linear/Abstract Algebra

  • Courses
  • Thread starter Klungo
  • Start date
  • #1
136
1
At my university, the following topics are covered between Linear Algebra and Abstract Algebra.

Linear Algebra 1: Linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues and inner-product spaces

Abstract Algebra 1: Sets and mappings, groups and subgroups, homomorphisms and isomorphisms, permutations, rings and domains, arithmetic properties of domains, and fields.

Under the assumption that both courses are introductory first-time proof based:

Are there any topics of abstract algebra that necessarily requires linear algebra to do?
If so, which ones and are they necessarily abstract or computational. Which would you recommend taking first if you can only pick one for the semester?
 

Answers and Replies

  • #2
Not really but linear algebra is a nice, 'easy' introduction to abstract thought because the intuitive notion of a vector as a pointer works quite well at that level.
If you're confident in your abstract thinking abilities I'd go for abstract algebra 1.
 

Related Threads on Introductory courses in Linear/Abstract Algebra

  • Last Post
Replies
4
Views
11K
Replies
3
Views
10K
Replies
1
Views
6K
  • Last Post
Replies
3
Views
711
  • Last Post
Replies
6
Views
4K
Replies
13
Views
4K
Replies
10
Views
2K
Replies
2
Views
15K
Replies
1
Views
2K
Top