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# MATH30030

Subject:
Mathematics
College:
Science
School:
Mathematics & Statistics
Level:
3 (Degree)
Credits:
5
Module Coordinator:
Dr John Sheekey
Trimester:
Autumn
Mode of Delivery:
On Campus
Internship Module:
No

Curricular information is subject to change.

In this module we introduce and develop some of the more advanced ideas in Linear Algebra. A sample of topics covered are: review of polynomials, endomorphism algebras, eigenvalues and eigenvectors, matrix algebras, direct sums of subspaces, the primary decomposition theorem, reduction to triangular form, reduction to Jordan form, dual spaces, special topics (time permitting: tensor products, adjoints, bilinear forms).

###### Learning Outcomes:

On completion of this module, the student is expected to:- demonstrate an understanding of the theoretical aspects covered in this module;- be able to carry out any computations involving the objects described in this module (such as finding the characteristic and minimal polynomials of an endomorphism, determining if a given endomorphism is diagonalizable, reducing a matrix to triangular form, reducing a matrix to Jordan normal form, for example).

###### Student Effort Hours:
Student Effort Type Hours
Specified Learning Activities

36

Autonomous Student Learning

34

Lectures

18

Tutorial

6

Total

94

###### Approaches to Teaching and Learning:
Problem-based learning via lectures, tutorials, a midterm and a final exam.
Requirements, Exclusions and Recommendations

Not applicable to this module.

Module Requisites and Incompatibles
Not applicable to this module.

Assessment Strategy
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Class Test: Class tests/Homework (2 x 20% each) Unspecified n/a Alternative linear conversion grade scale 40% No

40

No
Examination: Final Exam 2 hour End of Trimester Exam No Alternative linear conversion grade scale 40% No

60

No

Carry forward of passed components
No

Resit In Terminal Exam
Spring Yes - 2 Hour