MST10030 Linear Algebra I

Academic Year 2022/2023

In this module we introduce and develop some of the basic ideas in Linear Algebra. A sample of topics covered are: systems of linear equations; elementary row operations and Gaussian elimination; matrices; determinants; inverses of matrices; vectors in 2- and 3-dimensional space; dot product, vector product and scalar triple product; triangle inequality, Cauchy-Schwarz inequality; orthogonal projection; lines and planes in 3-dimensional space.

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Curricular information is subject to change

Learning Outcomes:

On completion of this module, the student is expected to: (1) demonstrate an understanding of the theoretical aspects of the topics covered in this module, and (2) be able to carry out any computations involving the objects described in this module (such as finding the determinant of a matrix). More generally, students should be able to recognise, read and correctly use standard mathematical symbols and notation. They should be able to ask pertinent questions, to decide which questions are relevant, answerable and so on. They must understand the reasoning behind any methods or procedures they use and be able to demonstrate that understanding. Students must also be able to produce examples themselves, in order to illustrate a definition, show a method, or test boundaries of an idea.

Student Effort Hours: 
Student Effort Type Hours
Lectures

24
Tutorial

11
Specified Learning Activities

54
Autonomous Student Learning

16
Total

105
Approaches to Teaching and Learning:
Problem-based learning via lectures, tutorials, a midterm and a final exam. 
Requirements, Exclusions and Recommendations
Learning Exclusions:

Students intending to major in Computer Science should not take this module.

Learning Recommendations:

To take this course you must have achieved at least H4 at Higher Level Leaving Certificate Mathematics (Project Maths) or equivalent. In particular, Ordinary Level Leaving Certificate Mathematics is NOT adequate.


Module Requisites and Incompatibles
Incompatibles:
MATH10050 - Linear Algebra & Geom, MATH10090 - Matrices & Vectors, MATH10120 - Linear Algebra Apps to Econ, MATH10160 - Maths for Engineers II, MATH10200 - Matrix Algebra, MATH10210 - Found. of Math. for Com.Sc. I, MATH10250 - Intro Calculus for Engineers , MATH10260 - Linear Algebra for Engineers, MATH10270 - Linear Algebra in the Math Sci, MATH10280 - Linear Algebra in the Phys.Sci, MATH10290 - Linear Algebra for Science, MATH10340 - Linear Algebra 1 (MPS), MATH10390 - Linear Algebra (Online), MATH20130 - Fund. Actuarial Mathematics I


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: End of trimester exam. 2 hour End of Trimester Exam No Standard conversion grade scale 40% No

70
Class Test: Midterm exam. The timing of the midterm can be slightly changed in order to accommodate as many people as possible. Week 7 n/a Standard conversion grade scale 40% No

30

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

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Róisín Neururer Tutor