# Applied Mathematics Doctoral Program

The Applied Mathematics PhD Program has a very strong track record in research and training. Placement of PhD students has been outstanding, with recent PhD students taking tenure-track/tenured faculty jobs at institutions such as Carnegie Mellon, Columbia, Drexel, Purdue, Tsinghua, UC Santa Cruz, Utah, Washington and alike, as well as private sector jobs in leading financial and high-tech companies.

## PhD Program in Applied Mathematics

Students must complete the following requirements in order to earn a PhD 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 30-point 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 Applied Mathematics

**MS Degree - 30 points course requirement before the PhD 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 MS) taken for a letter grade with minimum 3.0 GP***A*

*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 MS or 2 years with MS***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 PhD 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 G6351-G6352**: Applications of harmonic analysis**MATH G6430-G6431**: Mathematical physics

## Advising

Have a question? Please feel free to contact our Student Services Coordinator or reach out to an Applied Mathematics First Year Doctoral Advisor (PhD track or PhD only).

## Research

Learn more about research opportunities for Applied Mathematics students.