Course counts as part of Mathematics Major Program 1. This is the second course in a two-semester sequence designed to provide an introduction to the rigorous study of the foundations of calculus.
Topics covered include differentiation, integration, sequences of functions.
An introduction to measure theory and the Lesbesque integral as time permits. Freshman and sophomore level courses in calculus are primarily aimed at developing a working knowledge of the subject with emphasis placed on skills needed in applications. The purpose of this course is to introduce students to the mathematical methods of analysis, which provide the theoretical basis of calculus. In the process, students are encouraged to make their own evaluation of the correctness of mathematical assertions. The basic content of the course is needed by any student who is planning to continue in mathematics.