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*Curricular information is subject to change*

Learning Outcomes:

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 Hours:

Student Effort Type | Hours |
---|---|

Lectures | 30 |

Tutorial | 12 |

Specified Learning Activities | 20 |

Autonomous Student Learning | 38 |

Total | 100 |

Approaches to Teaching and Learning:

Lectures, tutorials, enquiry and problem-based learning

Lectures, tutorials, enquiry and problem-based learning

Requirements, Exclusions and Recommendations

At least H4 (or equivalent) in Higher Level Leaving Certificate Mathematics.

Module Requisites and Incompatibles

ECON10030 -

Assessment Strategy

Description | Timing | Component Scale | % of Final Grade | ||
---|---|---|---|---|---|

Not yet recorded. |

Carry forward of passed components

No

No

Resit In | Terminal Exam |
---|---|

Spring | Yes - 2 Hour |

Feedback Strategy/Strategies

• Feedback individually to students, post-assessment

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.