| CODE | TET2008 | |||||||||
| TITLE | Analytic Geometry for Technology | |||||||||
| UM LEVEL | 02 - Years 2, 3 in Modular Undergraduate Course | |||||||||
| MQF LEVEL | 5 | |||||||||
| ECTS CREDITS | 4 | |||||||||
| DEPARTMENT | Technology and Entrepreneurship Education | |||||||||
| DESCRIPTION | This unit enables technology students to be able to interpret and represent geometric figures analytically so that they can fall back on mathematical concepts when they are working with synthetic geometry. Concepts from this unit are essential for adopting a STEM approach toward the learning of the main domains of electrical and electronics knowledge, materials and mechanical knowledge and graphical communication and engineering drawing knowledge. Study-Unit Aims: 1. To give technology students the skills required to read between the lines of a geometrical relation and extract information that may not be explicit from a drawing; 2. To enable technology students to acquire essential concepts and techniques of analytic geometry in relation to other topics within the technology course. Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to interpret concepts related to the Cartesian coordinate system, understand equations of standard loci especially the circle and become familiar with the application of vectors in 3D coordinate geometry. 2. Skills: By the end of the study-unit the student will be able to: - find the length of a line segment and its midpoint; - find and interpret the gradient of a line and the gradient of parallel and perpendicular lines, and relate gradient with the angle of inclination of a line; - find the equation of a line in 2D in various situations; - find the altitude of a point from a line in 2D; - find a point which divides a line in any given ratio; - find and work with equations of standard loci (parabola, hyperbola, ellipse and circle); - appreciate the use of the standard equation of a circle; - work with tangents to circles (finding equations of tangents in several situations, interpret touches and orthogonal cuts); - work with the nature of vectors; - work with vectors in Cartesian vector notation including operations with a scalar and the scalar and vector product of two vectors; - use vectors to work with equations of lines and planes in 3D. Main Text/s and any supplementary readings: Main Texts: - ALBERT, A. A. 2016. Solid Analytic Geometry: Dover Publications. - BOSTOCK, L. & CHANDLER, S. 1981. The Core Course for A-level, Stanley Thornes Ltd. - SPAIN, B. 2007. Analytical Conics (Dover Books on Mathematics), Dover Publications. Supplementary Readings: - THOMAS, G. B. & FINNEY, R. L. 1995. Calculus and Analytic Geometry, Addison Wesley. - SERDARUSHICH, V. 2015. Analytic Geometry, CreateSpace Independent Publishing Platform. |
|||||||||
| ADDITIONAL NOTES | Pre-requisite Study-units: TET1008; TET1013. | |||||||||
| STUDY-UNIT TYPE | Lecture and Tutorial | |||||||||
| METHOD OF ASSESSMENT |
|
|||||||||
| LECTURER/S | Philip Borg |
|||||||||
|
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 2025/6. It may be subject to change in subsequent years. |
||||||||||