Guide to Graduate Studies APPLIED MATHEMATICS Florida State University Last modified: 1 October 2006 Contents Foreword Welcome to Florida State University's Graduate Program in Applied and Computational Mathematics. The faculty hopes that your time in the program will be both productive and enjoyable. The program is designed to transform you from student to professional mathematician, mathematical scientist, computational scientist, or simply a professional with specialized knowledge in applied and computational mathematics.
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The award of a master's degree signifies that you have specialized knowledge of mathematics from which to advance to positions of responsibility in education, government or industry, or with which to enter a doctoral program. The award of a doctorate degree signifies that you are recognized as an authority in applied and computational mathematics and are qualified to join the international community of scholars as a member of faculty in a college or university, or as a research scientist in a university, in industry, in a government organization or in a variety of other institutions. The purpose of this guide is to facilitate your progress through graduate school by providing details of the program, its faculty and staff, and its degree requirements. It is intended to be read once in its entirety on admission to the program, and subsequently to be consulted for specific information through the index at the back.
The guide complements the 2005-2007 FSU Graduate Bulletin and the 2005-2007 FSU General Bulletin. But it does not replace them, and the ultimate responsibility for being in compliance with university regulations is yours. This is the fifth edition of the Guide to Graduate Studies in Applied and Computational Mathematics at FSU. The originals were due to the efforts of Dr.
Michael Mesteron-Gibbons, and his efforts are hereby acknowledged. The guide will be updated from year to year, and suggestions for improvements are always welcome. 1 Advanced Degrees: Synopsis of Requirements The graduate program in applied and computational mathematics at FSU provides a course of studies leading to the degree of Master of Arts (MA), Master of Science (MS) or Doctor of Philosophy (PhD) in Mathematics. This section contains a synopsis of degree requirements. Checklists of degree requirements appear in Appendix D. You can also find information at the. 1.1 MA or MS To obtain a master's in applied and computational mathematics you must complete the required number of semester hours of graduate courses (See Section 1.1.3 below), including at least 22 semester hours in courses offered by this department.
These courses must include the core courses outlined in (a), (b), and (c): a. Method of Applied Mathematics I, II (MAP 5165, MAP 5932.) or Applied Analysis I, II (MAP 5932., MAP 5932.); b. Foundation of Computational Mathematics I, II (MAD 5403, MAD 5404).
Elementary Partial Differential Equations (MAP5345, MAP 5346). In addition, it is required to complete one of the two options given in 1.1.1. 1.1.1 Complete one of the following two options, thesis option: either write and successfully defend a thesis; or course-type option: pass the Master's Comprehensive Examination (MCE).
The MCE is part of the prelim examinations, in which the tests on two core courses are offered twice every academic year (see Section 5.3); and the specialty part is given by a committee comprised of three professors. 1.1.2 For a course-type program, the required number of graduate semester hours is 32; for a thesis-type program the required number of hours is 30, including at least six (6) in MAT 5971r. However, this must be done in consultation with the major professor and DAM. 1.2 PhD To obtain a PhD in applied mathematics, you must complete the cores courses outlined above and above all else you must establish your credentials for independent scholarly work by making sufficient original contributions to the scientific literature. You are considered successful in this regard if you defend your dissertation successfully. (See Sections 5.4 and 6.4.) In addition, you must demonstrate:. Broad knowledge of applicable mathematics and the modeling skills to apply it.
In-depth knowledge of at least one area of application, together with the ability to identify both unsolved problems and worthwhile approaches to their solution. Proficiency in a minor area of study. Significant teaching experience. A high degree of commitment to the mission and integrity of the academic community.
Reading knowledge of a foreign language at the discretion of your supervisory committee. Compliance with all other University and College requirements In practice, you satisfy these extra conditions as follows: 1.2.1 You are considered to have demonstrated broad knowledge of applicable mathematics and associated modellng skills if you pass the written part of the Doctoral Preliminary Examination (DPE) in two core areas, which is offered twice a year and a specialty part of DPE (see Section 5.3.1). 1.2.2 To proceed beyond the DPE you must prepare a prospectus of your proposed dissertation. You are considered to have demonstrated in-depth knowledge of at least one area of application, together with the ability to identify both unsolved problems and worthwhile approaches to their solution, if you defend this prospectus successfully, it indicates your aptitude and preparedness for independent research. See Sections 5.3.2 and 6.3.
1.2.3 You are considered to have demonstrated proficiency in a minor area of study;if you have completed six semester hours in an approved mathematics related minor with a grade point average (GPA) of at least 3.0. 1.2.4 You demonstrate a degree of commitment to the mission and integrity of the academic community by - in addition to all the above - attending seminars and colloquia regularly and abiding by the Academic Honor Code (see FSU Graduate Bulletin) throughout your graduate studies. 1.2.5 You are considered to have reading knowledge of a foreign language if you pass the corresponding reading examination. See the FSU Graduate Bulletin. 1.2.6 You have satisfied all other University and College requirements if you are in compliance with the regulations described on the FSU Graduate Bulletin.
Note in particular the residency requirement. Having either completed 30 semester hours of graduate work or obtained a master's degree, you must be continuously enrolled on the FSU campus for a minimum of 24 semester hours in any period of 12 consecutive months. The intent of the residency requirement is to ensure that you contribute to, and benefit from, the full spectrum of FSU's educational, professional and enrichment opportunities. Note also the time limit: all requirements for the doctoral degree must be met within 5 calendar years of passing the DPE. Otherwise you may be required to take and pass the DPE again. 1.3 Areas of Specialization for Master's Degree or Doctorate Currently, you may write a PhD dissertation or master's thesis in any area of specialization, working with one of the faculty as major professor.
Below is a rough list of some of the areas currently engaged in by the faculty in Applied Mathematics to give you an idea of the types of topics you might choose. It is meant to be neither exhaustive nor exclusive. For details of faculty and their research projects, see and consult the and their. Got talk to them - early and often. In the end, you will need (i). To find a topic on which you want to work and (ii).
To find a major professor with whom you want to work, and who is willing to work with you; see. 1.3.1 Computational Mathematics Computational fluid dynamics with applications in acoustics, multiphase flows, complex fluids (Hussaini, Kopriva, Sussman, Tam, Q. Wang, Xiaoqiang Wang) Computing applications to physical system and information (Hussaini, Kopriva, Magnan, Navon, Tam, Horne, Muslimani) Finite element methods and applications (Gunzburger, Navon, Peterson) Computational methods (Erlebacher, Hussaini, Kopriva, Sussman, Tam, Xiaoqiang Wang, T. Zhang) Numerical optimization (Hussaini and Navon) Scientific Visualization (Hussaini and Erlebacher) Computational rheology (Q. Wang) Empirical modeling and data analysis. (Magnan) Numerical methods for stochastic differential equations (R.
Tempone) 1.3.2 Fluid dynamics Acoustics and jet noise (Tam, Hussaini, Kopriva) Turbulence (Erlebacher, Hussaini and Tam) Multiphase flow (Sussman, Q. Wang, Xiaoqiang Wang) Combustion (Hussaini, Sussman) Kinetic theory and continuum mechanics theory for complex fluids and soft matter (Q. Wang) Fluid mechanics and rheology of complex fluids (Q. Wang) Geophysical fluid dynamics (X. Wang) 1.3.3 Geophysics and Astrophysics Applications in Geophysics and Physical Oceanography (Hussaini, X. Wang) 1.3.4 Methods of applied mathematics and nonlinear waves Asymptotic analysis and Perturbation theory (Q.
Muslimani, R. Horne) Bifurcation theory and applications (Magnan, Q.
Muslimani) Dynamical systems (Q. Muslimani) Nonlinear dynamics and chaos (Magnan, Q. Muslimani, R. Horne) Nonlinear waves (R. Muslimani, Q. Wang) 1.3.5 Applications Computing applications in biology (Gunzburger) Multiscale modeling and simulation of complex biological systems and biofluids (Q. Wang, Xiaoqiang Wang, T.
Applications in financial mathematics (R. Tempone) Applications in atmospheric and geo-physcial sciences (Y. Wang) Applications in optical materials (Z. Muslimani, R. Wang) PDEs with random variables (R. Hussaini) 2 Your First Semester 2.1 Adapting to Your New Environment 2.1.1 Familiarizing yourself with your inanimate surroundings. The day you arrive in the Mathematics Department, you should find out where your office is and obtain a key for it from the Program Assistant in Room 225 of the Love Building.
You have a mailbox in 208 Love, and you are expected to check it daily. You also have a computer account and electronic mail address; see Appendix B. Later in the semester (but as early as possible) you should familiarize yourself with the library system - not just where it is but how to use it (see Appendix C) - and similarly for the computing system. 2.1.2 Telephone-number prefixes.
All telephone numbers should be preceded by 4 when dialed on campus, by 644 when dialed from elsewhere within the Tallahassee area, and by 850 644 when dialed from elsewhere in the United States. 2.1.3 Faculty, students and staff. You should get to know the faculty and other students as soon as possible; they are all your colleagues.
Every professor is a potential advisor, every student a potential collaborator for a research project. Consult the departmental staff for help with administrative problems, about which they are very knowledgeable. The staff, along with their areas of specialization can be found at the on the departmental. Currently the program involves twelve faculty as follows: Current Applied Math Faculty Name Title Office Phone Professor 489 DSL 644-0186 Professor 402 DSL 644-7060 Assistant Professor 217 LOVE 644-2488 Professor and Thinking Machines Chair 411 DSL 644-0601 Professor 219 LOVE 644-0185 Assistant Professor 218 LOVE 644-2295. Associate Professor 121 MCH 644-2580 Professor 483 DSL 644-6560 Professor 488 DSL 644-1979 Associate Professor 002C LOVE 644-7194 Professor 314 LOVE 644-2455 Assistant Professor 442 DSL 644-4589 Professor and Director of Applied/Comp Mathematics 318 LOVE 644-8712.
TABE News TABE Test Information The TABE (Test of Adult Basic Educations) Exams are a set of tests covering the areas of reading, math, and language. The TABE is designed to certify that a student has the academic skills normally acquired by completing a typical high school program of study. The TABE may be used as an entrance or placement exam by trade schools, technical schools, or community colleges. Some adult education or GED study programs also make use of the TABE.
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The TABE tests may be taken online or via a traditional paper and pencil method. The organization that is administering the TABE will have the details on test registration, location, cost and testing methods. TABE Test Format The TABE consists of subtests in the following categories:. Mathematical Computations.
Applied Math. Reading. Language There are also optional tests in the following areas:. Language Mechanics. Vocabulary. Spelling Each of the subtests will present a series of multiple choice questions and will have a time limit. Sources: Some questions are from the following sources: Erik Jacobsen at www.erikthered.com/tutor From the New York State Education Department.
'High School Regents Examinations'. Available from www.nysedregents.org; accessed 8/29/2011. CK-12 Foundation - www.ck12.org BEHS Sat Prep - PWN the SAT - http://blog.pwnthesat.com/.