This module will provide a sound basis for the students’ understanding of and ability to apply concepts, theories and methods of mathematics which underlie the analytical capacity required to progress through a professional engineering programme. It will cover a range of topics basic to an engineering degree programme, including trigonometric and logarithmic functions, sequences and series, differential calculus. It will also consolidate and develop his/her honours leaving certificate maths to a more in-depth understanding of mathematical concepts and methods underlying engineering problems
Matrix Algebra, Determinants. Solving systems of linear equations; Cramer’s Rule, Gaussian elimination. Methods of matrix inversion: Cofactor method, Gauss-Jordan. Applications. Limit of a sequence. Infinite series, convergent and divergent series, tests of convergence, d’Alembert’s ratio test. Functions: trigonometric, exponential, logarithmic, hyperbolic, inverse hyperbolic. Solving equations involving hyperbolic functions. Differential calculus: limit of a function, continuity. Standard derivatives. L’Hôpital’s rule. Logarithmic differentiation. Obtaining derivatives of Implicit functions. Derivatives in parametric form. Analytic geometry: maxima and minima, points of inflexion. Radius of curvature. Applications of differentiation.
The course is delivered through lectures and tutorials. A comprehensive set of lecture notes and tutorial sheets with solutions are provided each week. Lecture notes and supplementary material (past exam papers with solutions, links to useful websites, etc.) are also available online.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 90 |
| Other Assessment(s) | 10 |