Introductory Analysis II

Catalog description

This course continues the rigorous mathematical treatment of the real numbers that begins in MATH 313 . The concepts of differentiation and Riemann integration of real-valued functions on the real line from calculus are explored and made rigorous. Additionally, series of functions are explored, including convergence (pointwise and uniform) and Taylor series. Students will be expected to communicate using mathematical proofs throughout the course. Students with a semester level of Freshman 1, Freshman 2 or Sophomore 1 may not enroll.