This course combines essential elements of applied mathematics, specifically the concepts of trigonometry and vectors, to develop students’ competence in interpretation, analysis and problem solving. The geometry component takes the student beyond the special analysis of shapes to the more theoretical analysis of the equations defining their locus. Mathematical techniques are applied to extracting the relationships between variables by analysis of experimental data. The main objective is to highlight the use of these topics in the design and solutions of mathematical models as applied in engineering.