MAT 115T Measuring the Alps
People live in three-dimensional space but are restricted to the earth surface which is usually locally flat, two-dimensional. But when entering the Alps, the third dimension of height becomes important when describing location or movement. This is also expressed by the fact that in the mountains a map is not too useful---rather a topographic map is needed. Starting with a description of the Alps or any mountains by topographic maps, or mathematically as functions with two independent variables, students will investigate how certain well-known features are reflected by the topography of the area . Examples are the location of mountain brooks, watersheds, movement of glaciers, avalanches, and rockfall. Students will also investigate the question of visibility in the mountains, whether and how it is possible to predict what can be seen from where. A further aspect is GPS technology. During the travel, the class will visit various places in the Swiss, Austrian, and Italian Alps, such as Davos, Innsbruck, Villnoess. Students will hike and measure, but will also discuss questions relevant to Alpine life, such as glaciers, avalanches or rockfall forecasts. If possible, the class will also visit places where such research is conducted. The course includes one mandatory weekend hike in September in addition to the ordinary travel in October. Hiking boots are required.