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MATH10340

Academic Year 2024/2025

Linear Algebra in the Mathematical and Physical Sciences (MATH10340)

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

Curricular information is subject to change.

Students will cover mathematical topics and concepts essential to the study of the Mathematical and Physical Sciences. Topics covered include: (1) a review of complex numbers - their fundamental arithmetic, Euler's formula and roots of unity; (2) matrices - sums, products and transposes, determinants of (n x n)-matrices, their computation for small n, and the adjugate method of finding inverses; (3) solutions of systems of linear equations by Gaussian elimination, connections between matrices and linear systems, and elementary matrices and their effects on determinants; (4) vectors in n-dimensional real and complex space, scalar products, angles between vectors, the Cauchy-Schwarz inequality, orthogonal projections, vector products and lines and planes in 3-space; (5) eigenvalues and eigenvectors of (n x n)-matrices, and their computation for small n; (6) linear spaces and bases - examples of linear spaces from previous chapters, linearly independent and spanning sets, bases and dimension, eigenspaces and orthonormal bases. Examples and applications of these topics in the Mathematical and Physical Sciences will be presented throughout the module.

About this Module

Learning Outcomes:

On successful completion of this module, the student is expected to (1) demonstrate a solid understanding of the theoretical aspects of the topics covered in the module, and (2) be able to carry out any computations associated with the concepts presented in the module (including, but not limited to, finding determinants and inverses of (3 x 3)-matrices, solving systems of linear equations, or finding the eigenvalues and eigenvectors (3 x 3)-matrices).

Student Effort Hours:
Student Effort Type Hours
Specified Learning Activities

24
Autonomous Student Learning

40
Lectures

36
Tutorial

10
Total

110

Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning.

Requirements, Exclusions and Recommendations
Learning Recommendations:

Minimum of Least Leaving Certificate H4 (or equivalent)


Module Requisites and Incompatibles
Incompatibles:
ECON10030 - Intro Quantitative Economics, MATH10030 - Maths for Business, MATH10050 - Linear Algebra & Geom, MATH10090 - Matrices & Vectors, MATH10120 - Linear Algebra Apps to Econ, MATH10200 - Matrix Algebra, MATH10260 - Linear Algebra for Engineers, MATH10270 - Linear Algebra in the Math Sci, MATH10280 - Linear Algebra in the Phys.Sci, MATH10290 - Linear Algebra for Science, MATH10390 - Linear Algebra (Online), MST10030 - Linear Algebra I


 

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Exam (In-person): Final Exam End of trimester
Duration:
2 hr(s)
 Standard conversion grade scale 40% No
70
 No
Assignment(Including Essay): Online untimed problem sets, deadline every two weeks Week 2, Week 4, Week 6, Week 8, Week 10, Week 12 Standard conversion grade scale 40% No
15
 No
Quizzes/Short Exercises: Tutorial worksheet quizzes. Every two weeks. Week 3, Week 5, Week 7, Week 9, Week 11 Standard conversion grade scale 40% No
15
 No

Carry forward of passed components
No
 

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

Feedback Strategy/Strategies

• Feedback individually to students, post-assessment
• Online automated feedback

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Mrs Catherine Jeffares Tutor
Matteo Lotriglia Tutor
Mr Daire O'Donovan 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 Thurs 09:00 - 09:50
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 09:00 - 09:50
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Wed 14:00 - 14:50
Spring Tutorial Offering 1 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Mon 12:00 - 12:50
Spring Tutorial Offering 2 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Tues 13:00 - 13:50
Spring Tutorial Offering 3 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Thurs 10:00 - 10:50
Spring Tutorial Offering 4 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Thurs 13:00 - 13:50
Spring Tutorial Offering 5 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Fri 12:00 - 12:50
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