Units:3 Metric spaces, including topological concepts. Sequences and series of functions. Weierstrass M-test. Connected and compact sets and their continuous images. Differentiability in Rn.
Prerequisites: MATH 330 with grade C- or better. Possible Instructional Methods:On-ground. Grading: A-F or CR/NC (student choice). Course Typically Offered: Fall ONLY
Student Learning Outcomes - Upon successful completion of this course students will be able to:
Apply the definitions, techniques and theorems of analysis.
Creatively conjecture and rigorously write, analyze and critique proofs in analysis.
Communicate solutions to problems in analysis effectively.