Tagged Questions
0
votes
0answers
34 views
What is the most motivating way of introducing the sketching of conics?
What is the most motivating way to introduce the sketching of conics which have a cross product terms?
This topic involves a lot of other stuff such as eigenvalues, orthogonal matrices, completing ...
6
votes
1answer
95 views
Pedagogy of Teaching the Inverse Matrix Method
I am teaching a group of (ordinary rather than honours) second-year engineers and we are studying matrices. I told the class today that as far as I could see we were only studying matrices and, ...
1
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0answers
53 views
What is the best way of introducing singular value decomposition (SVD) in a linear algebra course?
Why is it so important? Are there any applications which have a real impact?
8
votes
6answers
400 views
What are the technical reasons that we must define vectors as “arrows” and carefully distinguish them from a point?
I thought I'd bring this question to math.SE, as it could spark some interesting discussion.
When I first learned vectors - a long time ago and in high school - the textbook and teachers would always ...
1
vote
5answers
2k views
Real life applications of general vector spaces
Students familiar with Euclidean space find the introduction of general vectors spaces pretty boring and abstract particularly when describing vector spaces such as set of polynomials or set of ...
3
votes
1answer
119 views
What is a motivating way to introduce vectors?
What is a good way to introduce vectors on a linear algebra course so that students are motivated from the start? I need an opening which will have a real impact. Are there any motivating examples?
4
votes
5answers
367 views
Purpose of Linear Algebra
How much emphasizes should be on proof on a first course in Linear Algebra?
I sometimes feel that they (proofs) crowd out a coherent vision for linear algebra.
However I also think a central theme of ...
0
votes
1answer
193 views
Purpose of Inverse matrix
What use is the inverse matrix?
I would not use it to solve linear systems but there must be some concrete or real life applications where it is used.
5
votes
3answers
198 views
Linear Algebra Journal
Is there any journal which has significant material on the teaching of linear algebra. I am investigating the most effective way to teach a course on Linear Algebra.
What are the most important things ...
2
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0answers
160 views
Have Changes in Applications Made Linear Algebra More Central/Urgent?
In the days when my father taught civil engineering (some decades ago), mathematical applications seemed to be mainly "scientific." (This was the "space age.) Hence the most important branch of ...
