In this course methods of geometry and group theory are interwoven to produce a complete listing of all possible one and two-dimensional patterns. We also may deal with extensions of these methods to the study of three-dimensional patterns. Open to any interested student. Our world is dominated by motion and change. The moon rotates around Earth which, in turn, rotates around the sun.
Stock prices rise and fall.
An apple acting only in accordance with natural laws falls onto the head of a modern-day Newton. Calculus is the fascinating branch of mathematics whose primary goal is the understanding of motion and change. Although just a few hundred years old, the calculus has become an indispensable tool in all of the natural sciences and, of late, in many of the social sciences. Our study begins with the main character and function of the calculus and proceeds to explore the foundational topics of limits, differentiation, and integration. Numerous applications of the theory will be examined.