Overview:

This course will expose the student to the formal theoretical background of the calculus of one-variable functions. Most of the semester will be spent proving the results from Calc I. Beginning with introduction to set theory on the real number line, we will progress through properties of the real numbers, sequences, limits, continuous functions, and derivatives. All material will be rigorously developed with formal definitions and detailed proofs of all of the pieces. The instructor will present detailed renditions of the basic material in each unit, and then the students will proceed with the development by constructing proofs of the major results of the topic.

Click here to view a sample syllabus

This course will expose the student to the formal theoretical background of the calculus of one-variable functions. Most of the semester will be spent proving the results from Calc I. Beginning with introduction to set theory on the real number line, we will progress through properties of the real numbers, sequences, limits, continuous functions, and derivatives. All material will be rigorously developed with formal definitions and detailed proofs of all of the pieces. The instructor will present detailed renditions of the basic material in each unit, and then the students will proceed with the development by constructing proofs of the major results of the topic.

Click here to view a sample syllabus