The PhD program in applied mathematical and computational sciences is broadly based and interdisciplinary. It is designed to help students achieve a command of applied mathematical techniques and computational tools and obtain basic knowledge in another area (e.g., in physics, engineering, operations research, chemistry, computer science, economics, statistics, geography, or in the biological, medical, or social sciences). The program is flexible; students can concentrate on applied mathematics areas, such as differential equations and numerical analysis, or on other applicable techniques in mathematics. Scientific computing is an important part of applied mathematics, so it is often a part of student training and dissertation research. Prospective students should have a desire to apply mathematical techniques or theory to relevant problems in an outside area.

Learning Outcomes

Students will gain:

• proficiency in core applied mathematics subjects and broad knowledge in mathematics;
• proficiency in computer programming/scientific computing;
• excellent knowledge in at least one application area outside mathematics;
• ability to communicate knowledge and research work to various audiences; and
• ability to carry out research and work independently at a professional level.

The Doctor of Philosophy program in applied mathematical and computational sciences (AMCS) requires a minimum of 72 s.h. of graduate credit.

Course of Study

Faculty members can help each student plan a course of study that is consistent with the student's background, interests, and goals. Individual plans are designed to help students develop expertise in methods of applied mathematics and build a strong foundation in related topics. They also provide sufficient knowledge in an outside area to enable students to use mathematical techniques in that area. Students may also arrange their study plan to earn a master's degree from another department after they complete part of their plan. Students find suitable thesis problems and supervisors with the help of the faculty.

Required Courses in Core Areas

Students must successfully complete these three core course sequences in the first two years of graduate study.

Outside Area Courses

Students must take and pass PhD-level courses in areas in which mathematics is applied: one preparation course in the first two years of study and then two advanced courses outside of mathematics numbered 6000 or above.

Advanced Mathematics Course Requirement

In order to establish a solid foundation in mathematics, students must successfully pass two more mathematics courses (prefix MATH) numbered 5000–5999 and complete at least 12 s.h. of graduate mathematics courses numbered 6000–7999, with the exception of seminar courses. The courses should be chosen to obtain mathematical breadth and must be approved by the AMCS chair.

Comprehensive Examination

Students complete a comprehensive examination that covers their research area within three and a half years after beginning their graduate study. The examination is typically based on outside area courses and/or directed readings.

Applicants must carefully follow the applied mathematical and computational sciences (AMCS) application procedures and they must meet the Graduate College Admission Requirements on the Graduate Admissions website. Those interested in applying may also view Admissions on the Graduate College website.

To be prepared for graduate-level coursework in applied mathematics, applicants should have a bachelor's or master's degree with a strong mathematics or computational component.

Applications for fall admission are due on Jan. 15. For more information about the academic program, contact the chair of the Applied Mathematical and Computational Sciences Program. The Manual of Rules and Regulations on the Graduate College website can also provide additional information.

Career opportunities for applied mathematicians include positions in teaching and research institutions, national laboratories, the technology industry, business companies, and consulting firms.

Sample Plan of Study

Sample plans represent one way to complete a program of study. Actual course selection and sequence will vary and should be discussed with an academic advisor. For additional sample plans, see MyUI.

Applied Mathematical and Computational Sciences, PhD

a

Students must complete specific requirements in the University of Iowa Graduate College after program admission. Refer to the Graduate College website and the Manual of Rules and Regulations for more information.

b

Students must pass (grade of B-minus or higher in each course) all three core course sequences (or be exempted) in the first two years of graduate study.

c

Taken in August.

d

Students must take and successfully pass two MATH courses numbered 5000-5999, and complete at least 12 s.h. of MATH courses numbered 6000-7799 with the exception of the seminars. Work with faculty advisor to determine appropriate graduate coursework and receive departmental approval.

e

Students must take and pass PhD level courses in areas in which mathematics is applied: one preparation course in the first two years and then two advanced courses outside of mathematics at the 6000 level or above.

f

Work with faculty advisor to determine appropriate graduate coursework and sequence.

g

Dissertation defense.