This course is designed to acquaint students with the nature and spirit of mathematics.
Emphasis is on the objectives of various areas of mathematics.
Topics will include the history of mathematics, logic, deductive reasoning, and the nature of mathematical proof. For further topics, the instructor will choose three modules out of four. The four modules are designed to introduce the student to various branches of modern mathematics including analysis, modern algebra, topology, and statistics. Among the topics included in the modules are series and sequences including the Fibonnacci sequence, Pascal's triangle, modern algebra, mathematical systems, cryptography, Euclidean and non-Euclidean geometries, topology, networks, and statistics and its misuse.