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.
Computation is emphasized and proofs are de-emphasized aside from the truth and logic tables.
This course is designed to enhance the students quantitative reasoning skills. The course introduces the student to mathematical modeling and to elements of discrete mathematics including graphs and networks. Linear, quadratic and exponential models are included. Related statistical topics such as linear regression, probability, and counting techniques are also covered. Real-world applications are covered whenever possible.