Advanced Calculus I. 3 credits

Catalog description

The goal of this course is to introduce the student to the arguments and techniques that are used in modern analysis, and in particular it will help the student develop a facility with the limiting processes that occur regularly throughout mathematics. In addition the course reinforces the theory of differentiation and integration learned previously and places it on a more mathematically rigorous foundation. Finally, the course provides a mathematically rigorous foundation for solving problems in more advanced applied mathematics including numerical analysis, differential equations, and functional analysis. Topics studied include: number systems, functions, sequences, limits, continuity, differentiation, integration, transcendental functions, and infinite series. Offered by Mathematics . May not be repeated for credit.