This module introduces the algebra of complex numbers to provide a key mathematical tool for analysis of linear mathematical and engineering problems. The complexity of solving general (large) systems of equations is introduced and their study using matrix techniques. The calculus of a single variable is reviewed and extended to develop techniques used in the analysis of engineering problems:

• algebra of complex numbers;
• matrix algebra and its applications to systems of equations and eigenvalue problems;
• functions and their properties;
• advanced differential and integral calculus of one variable.

In concert with module HG1M12, HG1M11 provides a common qualifying year provision to equip students with both confidence and competence in a range of fundamental elementary mathematical techniques and basis for advanced mathematical methods used in the quantitative study and analysis of engineering problems. There is a strong emphasis of enabling transition to a university qualifying level environment. Module content is coordinated sequentially between HG1M11 and HG1M12.