Students must complete the following requirements in order to earn a Ph.D. in Applied Mathematics. Some specializations have specific course requirements for the doctorate; elective courses are determined in consultation with the program adviser. Successful completion of an approved 30point program of study is required in addition to successful completion of a written qualifying examination taken after two semesters of graduate study. An oral examination, taken within one year after the written qualifying examination, and a thesis proposal examination, taken within two years after the written qualifying examination, are required of all doctoral candidates.
Degree Requirements for Doctor of Philosophy (Ph.D.) in Applied Mathematics

30 points course requirement before the Ph.D. written qualifying exam, with a 3.0 Minimum GPA
unless a Master’s Degree from another institution has already been earned, in which case students receive 30 points and 2 Residence Units of advanced standing

Written Qualifying Examination
courses suggested for preparation for the written qualifying examination are listed in the qualifying examination memorandum 
30 points of courses and/or research (beyond M.S.) taken for a letter grade with minimum 3.0 GPA
can be fulfilled with additional graduate courses related to specialization as well as research points, but no more than 15 points of research can be applied to this 30 point requirement. 
6 Residence Units
one per semester not including summer, takes 3 years without M.S. or 2 years with M.S.

Oral Exam
usually Spring of 2nd year

Thesis proposal
usually Spring of 3rd year

Ethics requirements
online ethics course during Fall of 1st, year, attend departmental ethics seminar during Spring of 1st and 2nd years 
Master of Philosophy Degree awarded

Complete Ph.D. Dissertation

Successful Defense
Applied Mathematics Courses
 APMA E4001: Principles of applied mathematics

APMA E4101: Introduction to dynamical systems
 APMA E4150: Applied functional analysis
 APMA E4200: Partial differential equations
 APMA E4204: Functions of a complex variable

APMA E4300: Introduction to numerical methods

APMA E4301: Numerical methods for partial differential equations
 APMS E4302: Introduction to computational science

APMA E4400: Introduction to biophysical modeling

APMA E6301: Analytic methods for partial differential equations
 APMA E6302: Numerical analysis for partial differential equations
Related Courses of Specialization

APMA E6901: Special topics in applied mathematics

APMA E8308: Asymptotic methods in applied mathematics

APPH E4210: Geophysical fluid dynamics

APMA E9815: Geophysical fluid dynamics seminar

COMS W4205: Combinatorial theory

COMS W4241: Numerical algorithms and complexity

EESC GU4008: Introduction to atmospheric science

PHYS GU4019: Mathematical methods in physics

MATH GU4032: Fourier analysis

MATH GR4151/4152: Analysis and probability/Analysis II

MATH G6351G6352: Applications of harmonic analysis
 MATH G6430G6431: Mathematical physics