Related Course/s:

Aims & Objectives:

This unit aims:

• To provide students with the mathematical knowledge and skills that are needed to support their concurrent and subsequent engineering studies.
• To provide students with a thorough grounding in mathematics.
• To lay a foundation for further studies in engineering mathematics.

Teaching Methods:

Lectures (48 hours), Tutorials (12 hours)

Assessment:

Assignments (15%), Tests (30%) and closed book exam (55%).

Generic Skills Outcomes:

• Ability to apply knowledge of basic science and engineering fundamentals
• Ability to communicate effectively, not only with engineers but also with the community at large
• Ability to undertake problem identification, formulation and solution

Content:

• Surfaces and Partial Differentiation: Standard surfaces as z = f(x,y); relations, parametric forms, 3D polar co-ordinates, drawing 3d pictures of surfaces and 3D curves, partial derivatives, approximations, optimisation.
• Differential Equations: First order separable, exact, linear, orthogonal trajectories, second order linear with constant coefficients and simple right hand sides.
• Number Systems: binary, octal and hexadecimal numbers.
• Discrete Mathematics: Boolean algebra, switching and logic circuits.
• Linear Algebra: Matrices, determinants, solution of systems of linear equations, matrix inverse, Gaussian and complete elimination.
• Curves: 2D polar co-ordinates, 2D parametric curves, parametric differentiation and antidifferentiation, 3D curves, parametric differentiation and antidifferentiation.
• Complex numbers: Arithmetic, geometrical representation, cartesian and polar forms, powers and roots, exponential form, fundamental theorem of algebra.

Reading Materials:

Course notes will be available.
Graphical calculator.