Emphasis is placed on what is practical and applicable in the technologies. This course stresses the use of mathematics applied to the analysis of physical problems. Material covered includes the use of a scientific calculator, and the use of simple first and second degree equations to solve problems and analyze data. Graphing, spreadsheet analysis, dimensional analysis and conservation laws are used in analysis and problem solving. 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. This course is an introductory level, algebra-based course in discrete mathematics.