| CODE | TET1008 | |||||||||
| TITLE | Algebra and Trigonometry for Technology | |||||||||
| UM LEVEL | 01 - Year 1 in Modular Undergraduate Course | |||||||||
| MQF LEVEL | 5 | |||||||||
| ECTS CREDITS | 6 | |||||||||
| DEPARTMENT | Technology and Entrepreneurship Education | |||||||||
| DESCRIPTION | This algebra and trigonometry unit is intended to supplement parallel study-units within the main domains of the technology course. Concepts from this unit are essential for adopting a STEM approach toward the learning of the main domains of electrical/electronics knowledge, materials/mechanical knowledge and graphical communication/engineering drawing knowledge since sound functional design is almost always supported by mathematics. The topics covered in this unit are the following: polynomials and functions, indices and surds, solution of equations, complex numbers, graphs, circular functions and trigonometric equations and identities. Study-Unit Aims: The aims of this study-unit are: 1. To support and enhance knowledge in other technological topics by acquiring mathematical syntax and grammar for the representation and communication of technological knowledge; 2. To develop an understanding of mathematical relationships and mathematical methods for analysis; 3. To cover fundamental topics in algebra and trigonometry. Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: 1. Alternate between representations or relationships of the same concept; 2. Recognize, interpret and manipulate polynomials and functions; 3. Solve equations; 4. Interpret and transform graphs; 5. Represent diverse elements and concepts of the circle. 2. Skills: By the end of the study-unit the student will be able to: - work with polynomials (resolve a rational fraction into partial fractions and expand a binomial with positive integer power); - work with indices, surds, logarithms, solve exponential equations, and simultaneous equations involving indices/logs; - solve simultaneous equations with 3 unknowns (algebraic method), any quadratic equations and inequalities; - interpret the meaning of a discriminant of a quadratic; - interpret a complex number, perform operations on complex numbers and make representations on an Argand diagram; - sketch the graphs of polynomials till the third degree (with emphasis of the significance of real and non-real roots), the graphs of x^2, x^½, a^x (particularly e^x), log(a)x (particularly ln x), sin x, cos x, and tan x; - transform the graph of y=f(x) into y=a+f(x), y=f(x+a), y=af(x) and y=f(ax) without resorting to plotting; - interpret the characteristics of even and odd functions; - work fluently with the degree and the radian and apply them to mensuration of a circle (arc and sector problems), - interpret circular functions in a right-angled triangle and acknowledge trig ratios of important angles; - link the major trig ratios of a rotating radius in a unit circle to their graphs; - solve trigonometric equations by using general solutions; - make use of basic trig identities, the squared ratio identity involving sine and cosine, compound angle identities to solve more difficult trig equations and find maxima and minima; - approximate expressions involving trig ratios of small angles. Main Text/s and any supplementary readings: Main Texts: - BOSTOCK, L. & CHANDLER, S. 1981. The Core Course for A-level, Stanley Thornes Ltd. - SMEDLEY, R. & WISEMAN, G. 2001. Introducing Pure Mathematics, Oxford. Supplementary Readings: - BARNETT, R. A., ZIEGLER, M. R. & BYLEEN, K. E. 2015. College Mathematics for Business, Economics, Life Sciences and Social Sciences, Pearson. - BEECHER, J. A., PENNA, J. A. & BITTINGER, M. L. 2016. Algebra and Trigonometry, Pearson. |
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| STUDY-UNIT TYPE | Lecture and Tutorial | |||||||||
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| LECTURER/S | Jean Paul Zerafa |
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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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