This module introduces the techniques for solving selected first-order and second-order differential equations relevant to the analysis of generic engineering problems. The module also provides mathematical tools in terms of advanced differential calculus and vectors for modelling of generic engineering situations given in terms of multi-dimensional models:

• first-order ordinary-differential equations;
• second-order linear constant coefficient ordinary differential equations;
• differential calculus of functions of several variables;
• vector spaces and their applications.

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.