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MATH30030

Academic Year 2022/2023

Advanced Linear Algebra (MATH30030)

Subject:
Mathematics
College:
Science
School:
Mathematics & Statistics
Level:
3 (Degree)
Credits:
5
Module Coordinator:
Dr John Sheekey
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Autumn
Mode of Delivery:
On Campus
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Curricular information is subject to change.

Invalid Option 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).

About this Module

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
Lectures

18
Tutorial

6
Specified Learning Activities

36
Autonomous Student Learning

34
Total

94

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

Requirements, Exclusions and Recommendations
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Module Requisites and Incompatibles
Not applicable to this module.
 

Assessment Strategy Invalid Option
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 Invalid Option
No
 

Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

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