| CODE | TET2012 | |||||||||
| TITLE | Matrix Algebra for Technology | |||||||||
| UM LEVEL | 02 - Years 2, 3 in Modular Undergraduate Course | |||||||||
| MQF LEVEL | Not Applicable | |||||||||
| ECTS CREDITS | 4 | |||||||||
| DEPARTMENT | Technology and Entrepreneurship Education | |||||||||
| DESCRIPTION | Technology students need to be able to understand the basic applications of matrices so that they can use them in various situations occurring in other concurrent study units throughout their course. Concepts from this unit are essential for adopting a STEM approach toward the learning of the main domains of electrical, electronics and control systems knowledge, materials and mechanical knowledge and graphical communication and engineering drawing knowledge. Study-Unit Aims: 1. To appreciate how mathematical knowledge can be organized, visualized and manipulated using more than one dimension of representation; 2. To enable technology students to acquire essential concepts and techniques of matrix algebra in relation to the technology course. Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: - interpret concepts of linear algebra with particular emphasis on the nature and application of matrices in various situations, especially those involved in the solution of simultaneous equations, interpretation of solutions and transformations in 2D and 3D space. Students will also be introduced to the concepts of eigenvalues and eigenvectors of 2x2 and 3x3 matrices. 2. Skills: By the end of the study-unit the student will be able to: - add and subtract matrices and multiply a matrix by a scalar and by a matrix and understand matrix operation rules; - find the discriminant, classical adjoint and inverse of an invertible matrix; - solve a system of simultaneous equations solution of simultaneous equations (2x2 and 3x3) by the inverse matrix, by Cramer’s Rule, by Gauss-Jordan elimination; - interpret the meaning of solutions (unique solution, inconsistent, or linearly dependent) and give a geometrical representation of such meanings; - compute standard transformations in 2D and find the corresponding matrix operators of such transformations: reflections (in the x-axis, y-axis, line y = x, line y = -x), rotations about O, enlargements centre O, shear along the x- or y- axis, one-way stretch parallel to the axes; - find the matrix operator of transformations by looking at the transformation of unit vectors; - work with matrix transformations in 3D (rotations about an axis, reflections about a plane, enlargements centre O), compound transformations, and inverse transformations; - verify that a value and a vector are the eigenvalue and eigenvector of an nxn matrix; - find the eigenvalues and corresponding eigenvectors of 2x2 and 3x3 matrices. Main Text/s and any supplementary readings: Main Texts: - BOSTOCK, L., CHANDLER, S. & ROURKE, C. 1982. Further Pure Mathematics, Stanley Thornes. - LIPSCHUTZ, S. & LIPSON, M. 2012. Schaum's Outline of Linear Algebra, Mc-Graw Hill. Supplementary Readings: - POOLE, D. 2015. Linear Algebra a Modern Introduction, Cengage Learning. |
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| ADDITIONAL NOTES | Pre-requisite Study-units: TET1008; TET1013; TET2008. Please note that a pass in all components is obligatory for an overall pass mark to be awarded. |
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| STUDY-UNIT TYPE | Lecture and Tutorial | |||||||||
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| LECTURER/S | Kirstie Alice Asciak |
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The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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