<p>So I've just been admitted to a summer governor's school. And I have a problem deciding which math course I want to take.</p>
<p>Course 1: Solve This</p>
<p>In this course we will explore the art and Craft of Mathematical problem solving. We will examine problems ranging from celebrated classics to challenging contest problems. Our primary focus will not necessarily be finding the solutions but the process of inquiry, exploration, conjecture, and proof that is at the core of Mathematical thinking.</p>
<p>Course 2: Doing Experimental Mathematics</p>
<p>This course will engage students in experimental mathematical study of the nature of conjecture and its role in mathematical research. Students will work in groups, using software tools such as Excel, MATLAB, Maple, and Geometer's Sketch pad, as well as pencil and paper and physical models, to explores patterns and trends found in mathematics. Groups will form conjectures based on these observations and test those conjectures. Students will explore theorems taken from a diverse range of mathematics including, but not limited to: Geometry, Graph Theory, Chaos and Dynamical Systems, Calculus, Topology, Cryptography, and Number Theory.</p>
<p>Both say no special mathematical background is needed. Seeing as how only 150 kids were accepted, so there are going to be some straight amazing kids here. Both descriptions were mathematically exciting(my form of a mathgasm), so I don't know which one to pick.</p>