Overview:
- Credits:
- 5.0
- Level:
- 1
- Semester:
- Autumn
- Subject:
- Mathematics
- School:
- Mathematics & Statistics
- Coordinator:
- Dr Vincent Astier
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Curricular information is subject to change
On completion of this module students should be able to:
-Perform a number of algorithms using techniques from linear algebra
-Model linear problems in economics in the context of linear algebra and matrices
-Solve such problems by applying algorithms learned in the course of this module
-Advance to an intermediate level course in linear algebra
• Systems of Linear Equations
o Definition of Matrix and first properties
o Elementary Row Operations
o Matrix in row echelon form and reduced echelon form
o Gauss-Jordan Algorithm
• Matrix Algebra
o Sum of matrices
o Product between a number and a matrix
o Product between two matrices
o Transpose and properties
o Inverse and properties
o Determinant and properties
o Rank of matrix
o Linear systems and inverse
• Vectors Spaces, Linear Transformations and Applications
o Definition of space and subspace
o Linearly independent vectors
o Basis of a vector space
o Linear Transformations and properties
o Linear Transformations and linear systems
o Row operations, linear transformations and determinants
• The Leontief Input-Output Model
• Eigenvalues and Eigenvectors
o Definition and properties
o Eigenvalues and Eigenvector computation
o Diagonalizable Matrices
• Markov chain
Student Effort Type | Hours |
---|---|
Lectures | 30 |
Tutorial | 12 |
Specified Learning Activities | 20 |
Autonomous Student Learning | 38 |
Total | 100 |
At least H4 (or equivalent) in Higher Level Leaving Certificate Mathematics.
Description | Timing | Component Scale | % of Final Grade | ||
---|---|---|---|---|---|
Examination: Final Exam | 2 hour End of Trimester Exam | No | Alternative linear conversion grade scale 40% | No | 80 |
Continuous Assessment: 5 short tests live online, every second week (week 2, 4, 6, 8, 10). Each quiz counts 4%, for a total of 20% | Throughout the Trimester | n/a | Alternative linear conversion grade scale 40% | No | 20 |
Resit In | Terminal Exam |
---|---|
Spring | Yes - 2 Hour |
• Feedback individually to students, post-assessment
• Group/class feedback, post-assessment
Not yet recorded.
Name | Role |
---|---|
Ms Mittal Mittal | Tutor |