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MATH10260

Academic Year 2024/2025

Linear Algebra for Engineers (MATH10260)

Subject:
Mathematics
College:
Science
School:
Mathematics & Statistics
Level:
1 (Introductory)
Credits:
5
Module Coordinator:
Dr Marcus Greferath
Trimester:
Spring
Mode of Delivery:
On Campus
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

1. Complex numbers: Algebra of complex numbers, modulus and argument, polar form, complex roots of real polynomials occur in complex conjugate pairs, exponential with complex argument, Euler's formulae for elementary trigonometric function. 2. Systems of linear equations. 3. Matrices and determinants: Addition and multiplication of matrices, rank of a matrix, inverse of a matrix, determinants by row and column methods. 4. Eigenstructure: Eigenvalues and eigenvectors; linear independence; diagonalisation of a matrix 5. Vectors and three-dimensional geometry; Vectors in three-dimensional space, scalar/dot and vector/cross product, lines and planes in three-dimensional space. 6. Vector spaces

About this Module

Learning Outcomes:

On successfully completing this module a student will be able to:a) Calculate with complex numbers, solve polynomial equations involving complex numbers. b) Solve systems of linear equations by echelon techniques. c) Find the inverse and rank of a matrix. d) Compute determinants. e) Find eigenvalues and eigenvectors. f) Compute scalar and vector products. Find equations of lines and planes using vector methods. g) Diagonalise matrices.

Student Effort Hours:
Student Effort Type Hours
Lectures

36
Tutorial

10
Autonomous Student Learning

60
Total

106

Approaches to Teaching and Learning:
Lectures, tutorials.

Requirements, Exclusions and Recommendations
Learning Requirements:

At least Leaving Certificate H4 or (or equivalent)


Module Requisites and Incompatibles
Incompatibles:
ECON10030 - Intro Quantitative Economics, MATH10010 - Discrete Mathematics (BAgrSc), MATH10030 - Maths for Business, MATH10050 - Linear Algebra & Geom, MATH10090 - Matrices & Vectors, MATH10270 - Linear Algebra in the Math Sci, MATH10280 - Linear Algebra in the Phys.Sci, MATH10290 - Linear Algebra for Science, MATH10340 - Linear Algebra 1 (MPS), MATH20130 - Fund. Actuarial Mathematics I, MST10030 - Linear Algebra I, MST20050 - Linear Algebra II


 

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Assignment(Including Essay): weekly homework assignments for work also in tutorials Week 3, Week 4, Week 5, Week 6, Week 7, Week 8, Week 9, Week 10, Week 11, Week 12, Week 14, Week 15 Alternative linear conversion grade scale 40% No
20
 No
Exam (In-person): MCQ midterm exam End of trimester
Duration:
1 hr(s)
 Alternative linear conversion grade scale 40% No
30
 No
Exam (In-person): Final Exam End of trimester
Duration:
2 hr(s)
 Alternative linear conversion grade scale 40% No
50
 No

Carry forward of passed components
No
 

Resit In Terminal Exam
Autumn No
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Sebastian Benedikt Flad Tutor
Matteo Lotriglia Tutor

Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Fri 14:00 - 14:50
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Thurs 12:00 - 12:50
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 11:00 - 11:50
Spring Tutorial Offering 1 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Mon 17:00 - 17:50
Spring Tutorial Offering 2 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 17:00 - 17:50
Spring Tutorial Offering 3 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Mon 17:00 - 17:50
Spring Tutorial Offering 4 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 17:00 - 17:50
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