Math 103: Introduction to Abstract Mathematics

(An intellectual challenge for serious students)

Purpose of the Course:  To introduce the student to what real mathematics is about and how it works.

Description of the Course: Math 103 offers a comprehensive treatment of the foundations of mathematics and prepares the student for higher level courses requiring analytic thinking skills. The methods of mathematics covered in this course have important applications in every area of intellectual activity.

Topics to be covered: Methodology of mathematics and natural sciences, their origin and development, logic and reasoning, theorem types and proof methods, basic properties of sets, relations, functions, equivalence relations, ordering relations, cardinality (an in depth look into the notion of infinity), mathematical structures and invariants.

Prerequisite: Basic knowledge of high school algebra and arithmetic.

Method of evaluation: Homeworks and Quizzes 40%, two midterm exams each 15%, final exam 30%, 10 bonus points for attendance.

Instructor: Ali Mostafazadeh