Review of the real number system. Countable and uncountable sets. Partially and totally ordered sets. Complex numbers and their arithmetic. Geometry and topology of the line and the plane.
Emphasis is placed on developing skills in constructing mathematical proofs.
It can also serve the interest of students in arts and other sciences. This is a fundamental course for the study of modern mathematics, statistics and computer science. This course is also essential for students in physics and chemistry, especially those who wish to concentrate on theory, and wish to take courses in analysis, modern algebra and linear algebra. The topics are presented in a way that encourages a student to learn about and appreciate mathematical rigour and mathematical proof. The student will learn to develop a logical argument and to present it in proper form.