The following is only a summary of the program requirements. The authoritative source describing program rules and expectations on students is the Graduate Handbook (bottom of page).
The core requirements for an MS in Applied Mathematics are:
By graduate school rules, master's degree students have five years from the date of admission to complete all degree requirements.
Students who choose the thesis option should register for MATH 5950 (Master's Thesis) and may count 4-6 hours of this coursework toward the required 30 hours.
