Course summary

After thousands of years mathematics is highly developed, yet continually growing, providing new insights and applications. The University of Glasgow offers courses, taught by experts, across a wide range and in depth. Not only is mathematics the medium for expressing knowledge about many physical phenomena, but it is also concerned with patterns, systems and structures unbound by any specific application. It is characterised by rigorous logical, often ingenious, argument, gaining clarity and generality through abstraction. Many of its conclusions are striking and powerful. M.Sci. students should develop a mature understanding of fundamental theories and analytical skills applicable in many situations. More detailed aims of the M.Sci. are as follows. • To promote understanding of mathematical theory. Because of the nature of the subject, the major part of an undergraduate programme is the presentation of established theory and techniques from which deductions and applications can be made; • To provide training in problem solving. Consolidation of understanding is accomplished through the formulation and solution of problems. Students are expected to gain facility in this exercise through practice. Tutorials are provided as an aid; • To develop independent learning ability. At this level students, under guidance, are expected to digest and master material in books and articles. Some of the examined courses will be “reading courses” of this nature; • To promote presentational skills. Students will be expected to select and organise material and present it both orally and in writing. They will participate in group seminars and, in their final year, prepare a major project; • To prepare students for research-based activity involving mathematics. Although original work will not normally be expected, students will be brought to the threshold of research work; • To foster employability across a wide range of significant vocations and careers. Through skills gained, students will be equipped to progress to many positions, some of which may not explicitly involve mathematics.