Department of Mathematics 

Florida State University




208 Love Building  Tallahassee, FL  32306-4510  Phone: (850) 644-2202  Fax: (850) 644-4053

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Applied Math Guide

                



Guide to Graduate Studies
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APPLIED MATHEMATICS
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Florida State University
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Last modified: 1 October 2006

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Contents

   Foreword
   1. Advanced Degrees: Synopsis of Requirements
      1.1 MA or MS
      1.2 PhD
      1.3 Areas of Specialization for A Master's Degree or Doctorate
   2. Your First Semester
      2.1 Adapting to Your New Environment
      2.2 Preparing To Be a Graduate Student
      2.3 Preparing To Be a Research Assistant
      2.4 Preparing To Be a Teaching Assistant
   3. Planning Your Course of Studies
      3.1 Regular Courses
      3.2 Special Topics Courses
      3.3 Directed Individual Study (DIS)
      3.4 Sample Schedules
      3.5 Colloquia and Seminars
   4. Beyond Your First Semester
      4.1 What Constitutes Normal Progress
      4.2 Your Supervisory Committee
      4.3 Revising Your Plans
   5.Examinations
      5.1 Master's Comprehensive Examination (MCE)
      5.2 Master's Thesis Defense
      5.3 Doctoral Preliminary Examination
      5.4 Doctoral Dissertation Defense
   6.Writing a Thesis, Prospectus or Dissertation
      6.1 General Requirements
      6.2 Master's Thesis
      6.3 PhD Prospectus
      6.4 PhD Dissertation
   7. Getting the Most Out of Your Graduate Studies
      7.1 Becoming a Scholar
      7.2 Broadening Your Professional Horizons
   8. Recreational Activities
   9. Application for a Degree
      9.1 Degree Requiring a Thesis or Dissertation
      9.2 Receiving a Doctorate at Commencement
   APPENDICES
      A. Faculty and Their Research Projects
      B. Computer Resources in Mathematics
      C. Using the Library System
      D. Checklists of Degree Requirements
      E. Obtaining an Application

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Foreword
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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. 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.

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1
Advanced Degrees: Synopsis of Requirements

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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 University's Web site.

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).

c. 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. 

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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:

  1. Broad knowledge of applicable mathematics and the modeling skills to apply it
  2. 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
  3. Proficiency in a minor area of study
  4. Significant teaching experience
  5. A high degree of commitment to the mission and integrity of the academic community
  6. Reading knowledge of a foreign language at the discretion of your supervisory committee.
  7. 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. But see Section 7.1.2.

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.

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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 Appendix A and consult the relevant members of faculty and their web pages. 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 Section 4.2.

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. Wang, Z. Muslimani, R. Horne)

Bifurcation theory and applications (Magnan, Q. Wang, R. Horne, Z. Muslimani)

Dynamical systems (Q. Wang, X. Wang, R. Horne, Z. Muslimani)

Nonlinear dynamics and chaos (Magnan, Q. Wang, Z. muslimani, R. Horne)

Nonlinear waves (R. Horne, Z. 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. Zhang).

Applications in financial mathematics (R. Tempone)

Applications in atmospheric and geo-physcial sciences (Y. Hussaini, M. Navon, X. Wang)

Applications in optical materials (Z. Muslimani, R. Horne, Q. Wang)

PDEs with random variables (R. Tempone, Y. Hussaini)

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2
Your First Semester

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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 web pages. Currently the program involves twelve faculty as follows:
 

Current Applied Math Faculty
Name Title Office Phone
Erlebacher, Gordon Professor 489 DSL 644-0186
Gunzburger, Max Professor 402 DSL 644-7060
Horne, Rudy Assistant Professor 217 LOVE 644-2488
Hussaini, M. Yousuff Professor and Thinking Machines Chair 411 DSL 644-0601
Kopriva, David Professor  219 LOVE 644-0185
Muslimani, Ziad Assistant Professor 218 LOVE 644-2295
Magnan, Jerry F. Associate Professor 121 MCH 644-2580
Navon, I. Michael Professor 483 DSL 644-6560
Peterson, Janet Professor 488 DSL 644-1979
Sussman, Mark Associate Professor 002C LOVE 644-7194
Tam, Christopher K.W. Professor 314 LOVE 644-2455
Tempone, Raul Assistant Professor  442 DSL 644-4589
Wang, Qi Professor and Director of Applied/Comp Mathematics 318 LOVE   644-8712
Wang, Xiaoming. Professor 312 LOVE 644-6419
Wang, Xiaoqiang Assistant Professor  469 DSL 644-5792
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2.2 Preparing To Be a Graduate Student
You are expected on arrival to know calculus, linear algebra, some differential equations, some numerical analysis and a programming language, and to have some experience of mathematical modeling - altogether, you are expected to have taken the equivalents of at least the following courses (described in more detail in the 2005-2007 FSU General Bulletin): Complex Variables (MAA 4402), Numerical Analysis I (MAD 3703), Ordinary Differential Equations (MAP 2302), Mathematical Modeling (MAP 4103) and Applied Linear Algebra (MAS 3105). For fluid dynamics, you are also expected to have taken the equivalents of General Physics (PHY 3048-9C) and Vector Calculus with Introduction to Tensors (MAP 4153). Any deficiencies in this regard must be identified and remedied at the earliest opportunity; see Section 2.2.1. The effect of a deficiency will depend on the degree you are seeking.

2.2.1 Initial advisement. During your first week at FSU you must meet with the Director of Applied Mathematics for an initial assignment of your academic advisor and discussion of your program of study with your academic advisor. Each graduate student must have an academic advisor during the course of his/her study at FSU. Your academic advisor will assess your background in applied mathematics, decide whether any remedial courses are necessary, and offer you advice on planning your course of studies (including, in particular, which courses to take during your first semester) in consultation with the DAM. Research assistants are normally advised by the professors with whom they are working.

2.2.2 Minimum and maximum course loads during Fall or Spring semester. If you are being supported as a research assistant (RA) or as a teaching assistant (TA), then a minimum course load is 9 semester hours. Lighter course loads ("underloads") require special approval from the Dean of the College of Arts and Sciences (request a Graduate Student Underload/Overload Permission form). Likewise, more than 15 semester hours is technically an overload, and also requires written approval (same form). Note that minimum course loads are lower during the summer term; 6 semester hours for a teaching assistant and 9 for a research assistant are typical, but the precise numbers depend on the economy.

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2.3 Preparing To Be a Research Assistant
If you are being supported as a research assistant (RA), then you should see your employer, who is also your academic advisor, as soon as possible after arrival (and certainly within your first week) for initial assignment of duties and hours of work, etc.

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2.4 Preparing To Be a Teaching Assistant
2.4.1 Initial advisement. If you are being supported as a teaching assistant (TA), then you are ordinarily required to work 20 hours a week in teaching or related duties, e.g., grading papers. You should see Professor Stiles in 221 Love as soon as possible after arrival (and certainly within your first week) for initial advisement of duties.

2.4.2 SUSAI forms. If you are teaching during your first (or any subsequent) semester then your students must be given the opportunity to evaluate you by filling out SUSAI forms. Instructions on how to obtain and administer these forms - which is your responsibility - will appear in your mailbox quite early in the semester.

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3
Planning Your Course of Studies 

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Time does not stand still, so don't waste it: Start planning your course of studies right away. In any event, the department requires you during your first semester to complete a form, either the Tentative Program of Studies Toward Master's Degree in Mathematics or the (tentative) Doctoral Program of Studies in Mathematics, depending of course on whether you have been admitted as a master's or doctoral student. So you have no choice but to think ahead. Start thinking about research, even if you are only a master's student, because then you retain the option of either taking the MCE or submitting a thesis; see Sections 1.2.2 and 6.2. Moreover, you retain the option of switching to the PhD track if you later discover that research is your element. Thinking about research implies talking to the faculty, reading lots of books and papers and going to as many talks as possible; many projects arise out of chance conversations, so make sure that you have plenty of them. Eventually, you must find both a topic for your dissertation or thesis and a major professor who agrees to supervise your work on that topic. Then you need to assemble the rest of your supervisory committee (Section 4.2); don't forget that your initial advisors need only be temporary.

To help you plan ahead, there follows a list of courses in applied mathematics, together with typical schedules for meeting the target dates of two years for a master's degree or five years for a PhD The courses listed in these schedules are only suggestions and much variation is possible, subject to constraints in the FSU Graduate Bulletin (principally, that the course is offered when you want to take it, that you have the prerequisite(s), and that you end up satisfying all degree requirements). Any number of reasons might cause you to fall behind the target dates; after all, research would not be research if you could guarantee to complete it within a given period of time. But bear in mind that only in special circumstances will the department sponsor you as a teaching assistant for more than six years.

Information about the scheduling of classes for a given semester appears in the FSU Directory of Classes for that semester. For department offerings, see the math department web site.

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3.1 Regular Courses 
Regular courses mentioned herein whose syllabi appear in the 2001-2003 FSU General Bulletin (p. 267-268)
 
MAA 4402 Complex Variables
MAP 4153 Vector Calculus with Introduction to Tensors
MAD 3703 Numerical Analysis I
MAS 3105 Applied Linear Algebra I
MAP 2302 Ordinary Differential Equations

Syllabi for all of these courses appear in the 2003-2005 FSU Graduate Bulletin.  F = Fall, S = Spring, Su = Summer, 2 = every two years, V = variable.
 
MAA 5306 Advanced Calulus I F,S
MAA 5307 Advanced Calculus II S,Su
MAD

5403

Foundation of Computational Mathematics I F
MAD

5404

Foundation of Computational Mathematics II S
MAD 5420 Numerical Optimization S
MAD 5708 Numerical Analysis II S
MAD 5427 Numerical Optimal control of Partial Differential Equations V
MAD 5738 Numerical Solution of Partial Differenital Equations I F
MAD 5739 Numerical Solution of Partial Differenital Equations II S,2
MAD 5745 Spectral Methods for Partial Differential Equations 2
MAD 5757 High Order Finite Difference Methods for Computational Acoustics and Fluid Dynamics 2
MAP 5207 Optimization S,2
MAP 5107 Mathematical Modeling S
MAP 5217 Calculus of Variations V
MAP 5345 Elementary Partial Differential Equations I F, Su
MAP 5346 Elementary Partial Differential Equations II S
MAP 5395 Finite Element Methods F,2
MAP5165 Methods of Applied Mathematics I F
MAP5932* Methods of Applied Mathematics II S
MAP 5423 Complex Variables, Asymptotic Expansions and Integral Transforms V
MAP 5431 Introduction to Fluid Dynamics F
MAP 5441 Perturbation Theory F,2
MAD6408* Numerical Stochastic Differential Equations V
MAP 5513 Wave Propagation Theory F,2
MAP5932* Applied Analysis I F,2
MAP5932* Applied Analysis II S,2
MAP6437* Advanced PDE I F,2
MAP6437* Advanced PDE II S,2
MAD6408* Numerical Linear Algebra I F
MAD6408* Numerical Linear Algebra II S

Note: * indicates temporary number and a permanent one is in the application process.
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3.2 Special Topics Courses
In addition, the following special topics courses are offered from time to time. Note that the same course numbers may be used for quite different topics on different occasions.  
 
Course Number Title
MAD 6408r Advanced Topics in Numerical Analysis
MAP 6316r Advanced Topics in Differential Equations
MAP 6434r Advanced Topics in Hydrodynamics
MAP 6437r Advanced Topics in Applied Mathematics
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3.3 Directed Individual Study (DIS)
If you have particular interests or projects outside the scope of the regular curriculum, then you may arrange with some faculty member to receive direction and credit for your work. The procedure for this is to submit a DIS Approval form for one of the following two courses:

MAT 5907r Directed Individual Study for Master's Degree
MAT 6908r Directed Individual Study for PhD

You may use a DIS course for extended reading on a particular topic or in a particular field of applied mathematics, and the credit hours earned may be used to satisfy course load and graduation requirements.

First, however, you must find a professor who is willing to direct your work. In this regard, you should bear in mind that DIS courses involve faculty in additional work over and above normal teaching loads: The more complete your idea of what you wish to accomplish and the higher the reputation you have established as a graduate student, the greater your chance that the professor you approach will agree to direct you. Professors vary in their methods of handling a DIS - some require weekly meetings, whereas others prefer written reports or meetings on a less frequent basis - and so an acceptable arrangement must be mutually agreed upon in each individual case.

In any event, the grade assigned for a DIS is either S for satisfactory or U for unsatisfactory.

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3.4 Schedule Samples
The following are samples of schedules that could be followed to achieve either the master's degree by thesis or the master's degree in applied and computational mathematics by coursework within the target time of two years followed by examinations and the doctoral degree within the target time of a further four years. Additional course definitions are as follows:

MAT 5946r: Supervised Teaching
MAT 5911r: Supervised Research
MAT 5971r : Master's Thesis
MAT 6980r: Dissertation for PhD
MAT 8964: Doctoral Preliminary Examination
MAT 8966: Master's Comprehensive Examination
MAT 8976: Master's Thesis Defense
MAT 8985: Defense of Dissertation

3.4.1 MS in applied and computational mathematics by coursework: Sample target schedule

YEAR   FALL SEMESTER     SPRING 
SEMESTER   SUMMER SEMESTER

1.     MAP 5165 (3) MAP 5932*(3)

       MAP 5345 (3) MAP 5346 (3)
       MAD 5403 (3)      MAD 5404 (3)

    MAP 5431 (3)      MAP 5107 (3)
       MAD 5420 (3)      MAD 5738 (3)  
       MAT 8966	(0)      One Elective (2)
2.     MAP 5165 (3)      MAP 5932*(3) 

       MAP 5345 (3) MAP 5346 (3)
       MAD 5403 (3)      MAD 5404 (3)
       MAD 5420 (3)      Four Electives (11)      
       MAT 8966 (0)

3.4.2 Master's by thesis: Sample target schedule

YEAR   FALL SEMESTER     SPRING 
SEMESTER     SUMMER SEMESTER

1.     MAP 5165 (3) MAP 5932*(3)
       MAD 5403 (3)      MAD 5404 (3)
       MAP 5345 (3)      MAP 5346 (3)
       MAT 5971r(6)      MAT 8976 (0) 
       Two electives (6)

3.4.3 PhD: Sample target schedule for students entering with a master's degree in mathematics

YEAR   FALL SEMESTER       
SPRING SEMESTER     SUMMER SEMESTER

1.     MAP 5165 (3) MAP 5932*(3)
       MAD 5403 (3)      MAD 5404 (3)
       One course (3)    One course (3)

2.     Three courses (9)   Three courses (9)    
       MAT 8964 (0)
3.     MAT 5911r (9)     MAP 6480r (9)
or     MAP 6480r (18)

      

4.     MAT 6980r (9)   MAT 6980r (8)
       MAT 8985r(0)
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3.5 Colloquia and Seminars
The department expects you to attend colloquia and seminars regularly. You are encouraged to attend both the departmental colloquium on Fridays at 3:30 p.m. in 101 Love and the advanced seminar in either applied mathematics (MAP 6939r) or scientific computing (MAD 6939r), or an equivalent, whenever they are held. The schedules can be found on the departmental web site. In any event, if you have already passed the Doctoral Preliminary Examination then you are actually required to enroll for the advanced seminar whenever it is held while you are in residence; see Section 5.3.3.

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4
Beyond Your First Semester 

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Some things you did in your first semester may never have to be done again, e.g., familiarizing yourself with the library and computer system; and some things you did in your first semester must always be repeated every semester, e.g., satisfying course load requirements, attending colloquia regularly and administering SUSAI forms (whenever you are teaching). By contrast, this and the following section are mainly about isolated events beyond your first semester.

4.1 What Constitutes Normal Progress?
By the start of your second year, you should have found a permanent major professor (Section 4.2.1.) and a supervisory committee (Section 4.2.2); if you haven't, then you are not making normal progress. You should see your major professor at least once a semester to discuss your progress and revise, if necessary, your program of studies. Thus, to a large extent, you are making normal progress if your major professor says you are.

Subject to the availability of funds, the Department continues its support of students who are making normal progress toward a degree. The sample schedules in Section 3.4 are indicative of normal progress for students who enter the program with no previous graduate work. Students with graduate training elsewhere should normally graduate sooner; for example, a student with a Master's degree would probably be able to begin at the second year of the schedule for the Doctorate. Once a student has passed the Doctoral Preliminary Examination, the student must make an annual progress report to the DAM or Chair.

It should be noted explicitly that there is no "entitlement" to a certain number of years of support, and, although there is certainly a wide range as to what constitutes normal progress, students who are not making normal progress may find their support terminated. Although taking a year longer than the schedule indicates to complete the requirements for the doctorate is within the normal range, support may be extended beyond that point only in special circumstances, and only in cases in which it appears that the student is near completion of the requirements for the degree.

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4.2 Your Supervisory Committee
During their first year, all new students except research assistants have the same supervisory committee, one of whom acts as temporary major professor; see Section 2.2.1. This arrangement need only be temporary, and expires at the end of the first year. By that time you should have found yourself a permanent major professor.

4.2.1 Choosing a major professor. A good relationship with your major professor is critical to the success of your graduate studies. It is therefore vital that you make an informed decision concerning whom you would like to direct your studies. Find out as much as possible about who the faculty are (see Appendix A) and what they do (read their publications) before asking one of them to be your major professor. Remember, however, that few professors will be inclined to agree until they know you well enough for you to make a favorable impression on them. So make one! (Section 7 contains some pertinent advice).

4.2.2 Completing your committee. Regardless of whether you are a master's or a PhD student, you will need at least two additional committee members. If you are a master's student, then at least one of the two additional members must be a math professor (and both must have master's directive status). If you are a PhD student, then at least one of the two additional members must belong to a separate department - i.e., must NOT be a math professor (and both must have doctoral directive status). A good relationship with committee members is also important to the success of your graduate studies, and so the above remarks still apply.

In any event, you must submit either the Master's Supervisory Committee form or the Doctoral Supervisory Committee form, whichever is appropriate to DAM for the purpose of the specialty exam for either your prelim exam or MCE.

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4.3 Revising Your Plans
Although your program of studies must be kept up to date, you can change it at virtually any time - provided you first obtain your major professor's signature of approval. (Don't forget to complete a Drop/Add Permit where necessary.) There are several reasons for changing plans. For example, you may have begun your graduate studies as a PhD student but wish to become a master's student, or vice versa; or you may have failed to pass Part 1 of the DPE outright (Section 5.3.1) and wish to adapt your schedule to this circumstance. In either case, you should discuss the matter with your major professor.

Again, while studying for the doctorate, you may lose interest in one subject and become enthusiastic about another, and therefore need to change your major professor (and perhaps some other members of your committee); or your relationship with your major professor may prove unsatisfactory for a variety of administrative or personal reasons. In either case, you should bear in mind that neither your commitment to conduct research under a given faculty member nor the faculty member's commitment to serve as your major professor is binding (and the procedure for finding replacements is the same as in Section 4.2).

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5
Examinations

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Beginning Fall of 2004, MCE and DPE are unified, in which a Ph.D. pass and MS pass are set at different scores. For the MCE and the DPE, copies of past examination papers can be obtained from the Director of Applied Mathematics. If you would like to review prospectuses written by previous graduate students, then it is best to request them from individual faculty members. Successfully defended theses and dissertations are available in the Dirac Science Library.

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5.1 Doctoral Preliminary Examination 
 

The Doctoral Preliminary Examination (DPE) consists of two parts, a written examination in two of the three core areas outlined at the beginning, and an examination in a specialty area. Beyond this, it is required to pass an oral examination concerning the defense of a prospectus.

5.1.1 Core Examination. Currently, the written part of the DPE (Part 1) is set twice a year consisting of two parts (taken on separate days):

1. Foundation of Computational Mathematics I & II;

2. either Methods of Applied Mathematics I & II or Applied Analysis I & II.

For each of the two core sequences on which the student will be tested, a three member subcommittee will be appointed by the DAM. The committee will include (if possible) the instructors of the course during the most recent two years: If a student completes the sequence at FSU, the instructor will make available to the committee the final examinations of the student for each of the semesters. The subcommittee will determine immediately after the spring term whether the performance of the student is worthy of a waiver of the written examination. The normal standard will be a grade of "A-" or better on the examinations, but the subcommittee will use discretion for borderline situations. In exceptional situations, the committee could waive the written exam for transfer students who provide overwhelming evidence of their competence in the subject matter. If the waiver is not granted, the student must sit for the next preliminary exam based upon the material in the core sequence in the fall. This exam will be constructed by the subcommittee. A re-take exam will be given in January.


5.1.2.  Specialty Examination.
The part 2 of the written DPE examination is a  specialty examination. A student must pass an examination in a specialty area. The purpose of this exam is to determine the readiness of the student to begin research in the PhD program. The format of the examination will be determined by the supervisory committee. It is expected that students in the same specialty area who take the examination in the same academic year will have an examination that contains identical questions on a written exam; Similar formats should be used for any oral component. The Chairs of the supervisory committees for the students taking exams will coordinate the exams. The examination will be broadly based on material from 1-2 semesters of course material at a level above the core courses. This exam will normally be taken before classes start for the beginning of the third year. For advanced students, it can be given earlier determined by the supervisory committee.

When the Core and Specialty exams are completed, the student will be considered to have completed the candidacy exam and be qualified for dissertation credit provided the university and departmental requirements for doctoral candidacy are also met. The student will then prepare for the oral examination for the prospectus defense and ultimately a dissertation defense in coordination with his/her dissertation committee.

 To be adequately prepared for the examination, you should have taken at least the required core and specialty sequence in the MS and/or Ph.D. curriculum. To pass the examination outright, you must perform satisfactorily in all three examinations; otherwise the examiners may require you to retake one or more examinations the following semester or year. Examinations may be retaken no more than once.

If at your last (whether first or second) attempt you narrowly fail to pass all three examinations with a DPE pass but pass them at the MCE level, then the examiners may recommend the award of a master's degree without further examination.  

5.1.3 Oral Examination or Prospectus Defense. Having passed Part 1 & 2 of DPE, you immediately get down to finalizing your research topic and preparing a prospectus; see Section 6.3. This prospectus should contain an overview of your area of study - enough to convince the reader that you are familiar with all important work that has already been done in the area - and identify the particular problem (s) you propose to work on, thoroughly justifying the time and effort you propose to expend. As you explore your area of study you may wish to increase the size of your committee to 4-6 (typically 5) individuals by adding faculty with relevant expertise.

The oral examination or prospectus defense consists of defending the prospectus in front of your (recently expanded) committee, each of whom should receive a copy of your prospectus at least one week prior to the date of the examination. As in the case of a master's thesis, the defense consists of an oral presentation followed by questions from your committee; again, although most questions are likely to arise from the prospectus itself, any question that falls within your general area of study is legitimate.

Both the presentation of your work and your response to any questions will be taken into consideration in deciding whether to approve your prospectus. If you fail to obtain your committee's approval, then you will be allowed one further opportunity to retake the oral examination at a later date, after suitably revising your prospectus and arranging a second defense.

5.1.4 Examination result. If your committee approves your prospectus, then your grade for the prospectus defense is P for Pass. If your committee fails to approve your prospectus, then your grade for the prospectus is I for Incomplete. This result must be communicated immediately to the departmental office through submission of an Examination Results form.

Having passed Part 1 & 2, you are absolutely required to enroll in MAP 6939r or MAD 6939r or an acceptable equivalent for at least three semesters.

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5.2 Doctoral Dissertation Defense
After you have completed your dissertation (Section 6.4) you must defend it at an oral examination, to be presided over by your major professor and to include a departmental seminar. This examination must take place at least two weeks prior to graduation, at a time to be arranged in consultation with your major professor.

At least two weeks prior to the date of the examination, you must submit an abstract of your dissertation (Section 6.1.1), a list of committee members and an announcement of the dissertation title and date, time and place of examination to the Office of Graduate Studies in Room 408 Westcott, who will announce your defense to the university at large. All members of the graduate faculty are invited to attend.

All members of your supervisory committee should receive a copy of your PhD dissertation (Section 6.4) at least one month in advance of your defense. After a mutually agreed time has elapsed, you should check with all committee members for any criticisms they may have. After making any suggested changes, you should provide each committee member with a revised copy of your dissertation and abstract at least one week prior to the date of the defense.

The defense itself consists of an oral presentation, usually lasting about an hour, followed by an oral examination to which the remarks in Section 5.1.3 are still applicable. Again, both the presentation of your work and your responses to questions will play a role in deciding whether the committee approves the dissertation. The result of this decision must be communicated immediately to the departmental office through submission of an Examination Results form (sign up for MAT 8985).

If you fail to obtain your committee's approval, then you will be allowed one further opportunity to retake this examination at a later date, after suitably revising your dissertation and arranging a second defense.

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5.3 Master's Comprehensive Examination (MCE)
The MCE is identical to the DPE and is set twice a year. A passing grade for MCE is set at a lower grade than a passing grade for DPE. The MS student will follow the same course sequence as for the Ph.D. degree. The student will get a waiver for sitting in the core course's examinations with a B or better. If the student selects the thesis option, he/she does not need to take the specialty examination to complete the MCE. 

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5.4 Master's Thesis Defense
Your major professor should receive a copy of your master's thesis at least a month in advance of your defense. After making any necessary changes, you should provide all committee members with a revised copy of your thesis at least one week prior to the date of the defense.

Your defense consists of an oral presentation, usually lasting about 45 minutes, followed by an oral examination. All faculty and students - not just your committee - are invited to attend the presentation and pose questions afterwards as part of the oral examination. Although any question falling within your general area of study is legitimate, questions typically arise from the thesis itself. Both the presentation of your work and your response to any questions will be taken into account in deciding whether to approve your thesis.

The result of this decision must be communicated immediately to the departmental office through submission of an Examination Results form

(signing up for MAT 8976).

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6
Writing a Thesis, Prospectus or Dissertation

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If you conclude your graduate studies at FSU with a master's by coursework, and if no course you take includes a project as part of its requirements, then you may never need to produce a typed manuscript for examination; but in all other circumstances you will have to do so at least once. For a master's by thesis you will have to produce the thesis, whereas for a PhD you will have to produce both a prospectus and a dissertation. This section contains advice on all three kinds of manuscript. A thesis or dissertation must, of course, be produced in accordance with university and college degree requirements: see Section 9.1 and the FSU Graduate Bulletin.

If you embark on a research career, then at some stage you will begin to submit work to journals for publication. In a sense this is also producing a manuscript for examination, and so many of the following remarks still apply; but in this case it is best to consult your major professor for specific advice - especially since requirements vary so greatly from journal to journal. One general piece of advice, however, is to browse through the most recent three or four volumes of the journal to which you plan to submit your work, and then adapt your paper to conform in style and presentation to those you see published.

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6.1 General Requirements
6.1.1 Abstract. Every thesis or dissertation must include an abstract, i.e., a concise but independently intelligible summary of the contents of the work, normally placed just prior to the first page of text. Provided it is concise, there is no formal limit to its length.

In addition to the above abstract, which forms an integral part of the thesis or dissertation, a second independent abstract limited to 250 words must be submitted to the Graduate Office in Room 408 Westcott for use by FSU. If the thesis or dissertation abstract is 250 words or less in length, then with appropriate reformatting it may also be used for the FSU abstract.

6.1.2 Format and style. You should consult your major professor about the format and style of your work. Whatever style is chosen, however, must be consistent with FSU clearance guidelines, as described in the brochure Guidelines and Requirements for Thesis, Treatise and Dissertation Writers, a copy of which may be obtained from the Graduate Dean's office in Room 408 Westcott.

6.1.3 Thesis or dissertation credits. Writing a thesis or dissertation counts toward your course load for graduation; see Section 3.4. You must register for MAT 5971r during any semester in which you do a substantial amount of work toward a master's thesis, and for MAT 6980r during any semester in which you do a substantial amount of work toward a PhD dissertation.

A minimum credit of 6 semester hours in MAT 5971r is required for a master's thesis, and a minimum credit of 24 semester hours in MAT 6980r is required for a PhD dissertation.

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6.2 Master's Thesis
To obtain a master's degree by thesis you must carry out an independent research project and prepare a thesis - that is, a written account of your research and its results - under the supervision of your major professor. Your thesis should ideally contain the following:

 (i) A clear statement of the problem you address and its significance.
(ii) A review of related published work.
(iii) A review of mathematical techniques and terminology.
(iv) A thorough presentation of your solution.
(v) A discussion of your results and a critique of their impact on your field of study.
(vi) A summary of what was original and significant in your thesis, together with suggestions for future work.

Nevertheless, it is not essential (though of course desirable) that your results be original: a work of the survey type, whose originality lies in the synthesis of known (but widely scattered) results - as opposed to in the results themselves - is acceptable for a master's degree (but not a doctorate). Broadly speaking, such a thesis would place greater emphasis on (i) and (ii) and replace (iv) by a discussion of the difficulties encountered in attempting to obtain a solution.

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6.3 PhD Prospectus
Before you can begin to work in earnest on your doctoral dissertation, you must prepare a prospectus, i.e., a written outline of your proposed research. This prospectus should describe the problems you hope to address and their significance, provide sufficient background material to convince your committee that the research is worth doing (and has not already been done), and demonstrate convincingly that you have both the mathematical skills and the in-depth knowledge of your field of application to undertake the research. You must defend this prospectus in front of your committee, see Section 5.4.

One piece of advice: review prospectuses of previous graduate students (request them from individual faculty members) to form an impression of what will constitute an acceptable outline of research.

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6.4 PhD Dissertation
To obtain the doctoral degree, you must complete a dissertation on a mathematical topic in your area of specialization. To be acceptable, it must be an original research achievement; it must constitute a significant contribution to knowledge; and it must represent substantial scholarly effort on your part. Whether your dissertation meets these standards is a matter to be decided by your supervisory committee.

Your dissertation will ordinarily contain the following information (though not necessarily in quite the following order):

6.4.1 Introduction. Your dissertation should begin with a clear statement of the problem you address, its significance, the scope and originality of your solution, and a brief chapter-by-chapter guide to the organization of your work.

6.4.2 Review of the literature. A thorough survey of pertinent published work on your subject not only places your problem in context, but also provides criteria for judging the originality of your results.

6.4.3 Mathematical background. Not everyone who reads your dissertation will be as familiar as you are with the mathematical methods, notation and terminology you employ, and so an early chapter of your dissertation should review them. Not only will this review make your dissertation more accessible to your reader, but also writing the review will help to clarify your understanding of the material.

6.4.4 Physical, biological or engineering background. Again, not everyone who reads your dissertation will be as familiar as you are with your field of application, and so an early chapter of your dissertation should survey pertinent material.

6.4.5 Presentation of original work. Your original contribution is the heart of your dissertation. You should describe it thoroughly, clearly identifying original results by stressing differences with previous related work.

6.4.6 Critique. You should evaluate your work and assess its impact on your field of study at large. Be honest and objective. You should claim to have accomplished neither more nor less than is actually the case.

6.4.7 Summary and outlook. Your dissertation should conclude with a concise summary of your most important results, again distinguishing original results from those that were previously known, and offer suggestions for future research in your area.

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7
Getting the Most Out of Your Graduate Studies

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What you get out of your graduate studies depends entirely on what you put into them. The ultimate value of your graduate education at FSU is less your degree than the intangible benefits that accompany it - the intellectual maturity you develop and the professional relationships you establish (neither of which is recorded on your certificate at graduation). Indeed if all you do to obtain your degree is satisfy the graduation requirements listed in the FSU Bulletin, then you may have wasted a golden opportunity. The academic community offers you tremendous resources for personal and professional development, but it is your responsibility to exploit them while you are here. This section offers advice.

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7.1 Becoming a Scholar
All scholars must read widely, both within their field of specialization and without - but it is especially important for applied mathematicians to read widely in other areas, because good applied mathematics is also good science. No matter how talented you are mathematically, you cannot do good physical modeling - whether in aero-acoustics, galactic dynamics, mechanical engineering, meteorology or oceanography - unless you are also a competent physicist. Regardless of how much mathematics you know, you cannot do good biological modeling - whether in physiology, population biology, or structural biology - unless you are also a competent biologist. And so on. So you must study widely throughout your time in graduate school (and beyond).

7.1.1 Reading comprehensively. At no time is comprehensive reading across the sciences more important than during your first year in graduate school (though it continues to be important throughout your academic career). This is the time when you need to discover which outstanding scientific problems most capture your interest, so that you can identify a field of study and make it the focus of subsequent research. A good choice of specialization - one that is right for you - is critical to your academic success in later years, and so time spent in making this choice is time well invested. Recommended journals include American Scientist, Nature, Science and Scientific American. For book recommendations, consult individual members of faculty.

7.1.2 Making good use of your minor. Choose courses in your minor area of study (Section 1.2.3) for their ultimate value - the perspective they offer on a separate field of study - and not for the ease with which graduation requirements can be fulfilled. Remember that 6 semester hours is merely the minimum number of credits, and that additional courses may be valuable - both for their intrinsic merit and for the contacts you develop with faculty in a separate department. Your major professor is the person to contact for advice in this regard. If the minor area is in mathematics itself, these hours must be outside the list of courses required for the doctoral preliminary examination in the student's option.

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7.2 Broadening Your Professional Horizons
7.2.1 Joining a Professional Society. Membership of a professional society will boost your career prospects by keeping you abreast of trends in your field and the employment opportunities that accompany them. It can be especially good value for graduate students, with subscriptions typically reduced by over 50%. Subscriptions include journals and newsletters to keep you up to date as well as discounts on books and conference fees. The department has free memberships of the American Mathematical Society (AMS) for all graduate students and of the Society for Industrial & Applied Mathematics (SIAM) for a few, both as a result of institutional membership. Other relevant societies include the American Physical Society (APS), the American Institute of Acoustics (AIA) and the Society for Mathematical Biology (SMB). For details of membership, consult members of faculty.

7.2.2 Going to Conferences. Going to conferences is an excellent way to find out what is happening in your field and to meet the people who are making it happen. It doesn't have to be expensive (especially if you belong to a professional society): greatly reduced conference fees are the norm for graduate students, and travel and accommodation costs can be kept to a minimum by sharing. Consult your major professor for conference suggestions.

7.2.3 Doing an Experiment. Applied mathematics is often most effective and most impressive when done in conjunction with an experiment. Several departments at FSU offer opportunities for collaboration with experimenters, e.g., the Geophysical Fluid Dynamics Institute, and the Department of Mechanical Engineering. So think about doing an experiment - talk to individual faculty members about the possibilities.

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8
Recreational Activities

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Tallahassee and FSU offer a variety of recreational activities; and if you cannot find what you like locally, you probably won't have to travel too far. FSU sponsors intramural sporting events every semester. Among the many sports offered are softball, flag football, basketball, soccer, volleyball, tennis, and track. For most of these, the math department fields teams consisting of faculty and graduate students. (It's a good thing we have jobs to do; athletes we ain't!). The Bobby E. Leach Center on campus has a fully equipped weight room, bicycle and stair machines, indoor track, aerobics classes, indoor pool, sauna and whirlpool, racquetball, squash, volleyball, basketball and badminton courts and ping-pong tables. This facility is free to students. Also on campus there are tennis courts and outdoor racquetball courts, a pool and a running track. The FSU Reservation, located just a few miles from campus, offers facilities for swimming, sailing, canoeing and picnics, as well as an occasional free concert. Admittance is free to students, but there is a small boat rental fee. If you like hiking, there are nice trails around the Leon Sink Holes, just 15 minutes away. For cyclists, there is a 16-mile bike trail from Tallahassee to St. Marks on the coast. In addition to several city parks, there are many state and national parks nearby. Wakulla Springs and the St. Marks Wildlife Refuge are within 20 minutes of Tallahassee. There are beautiful beaches along the Gulf Coast at St. George Island, Port St. Joe, Panama City, Fort Walton and Destin, all within 2 or 3 hours away. Besides swimming, Panama City Beach offers several additional activities. If you like to surf, there are big waves at Jacksonville Beach on the Atlantic coast, about 3 hours away. There are many more state parks nearby in Florida and Georgia. There are many other things to do in and around Tallahassee, particularly in music and the arts, and it is hoped that future editions of this guide will describe them in detail. But first somebody must write about them from a graduate student's perspective. Would you like to volunteer?

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9
Application for a Degree

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During the first two weeks of the semester in which you expect to receive a degree, and prior to the deadline listed in the FSU Directory of Classes, you must apply for the degree at the Office of the Registrar in Room 305 of the University Center (Phone 5850). You will receive a Final Degree Clearance form together with instructions on conditions to be fulfilled for the degree to be awarded. If it subsequently becomes clear that you will not complete the requirements by the end of the semester, then you should notify the Registrar and the College of Arts and Sciences as soon as possible; moreover, you must reapply for the degree during the appropriate period of the following semester (or the semester in which you subsequently plan to graduate, if later).

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9.1 Degree Requiring a Thesis or Dissertation
For a PhD or master's by thesis, early in the term of graduation you should obtain from the Manuscript and Final Clearance Advisor in Room 408 Westcott a copy of the brochure Guidelines and Requirements for Thesis, Treatise, and Dissertation Writers, together with a set of forms described therein and to be completed prior to graduation. In particular, your thesis or dissertation must be approved by the Office of Graduate Studies (located in Room 408 Westcott). The procedure you must go through to obtain this approval is described in detail in the brochure.

9.1.1 Minimum credit for thesis or dissertation in term of graduation. For a PhD or master's by thesis, you must register for a minimum of one semester hour of (dissertation or thesis) credit during the term in which the degree is awarded, even if all requirements have already been completed in previous semesters. This credit hour is to reimburse FSU for the administrative costs of manuscript clearance and final degree procedures. Moreover, if you have not enrolled for the previous two terms then you must seek readmission before you can register for the requisite semester hour.

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9.2 Receiving a doctorate at commencement
To receive a doctorate in person, you should rent cap, gown and hood from the University Bookstore at least four weeks prior to the relevant commencement ceremony. If, however, you are unable to attend this ceremony in person, then the degree can instead be awarded in absentia.

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Appendices
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Appendix A
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Faculty and Their Research Projects
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Please refer to each faculty's website for the information.  

 

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Appendix B
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Computer Resources in Mathematics
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The Department of Mathematics has a number of computers, including Sun SPARC stations, IBM RS6000s, PCs, Macintoshes, and a Silicon Graphics Crimson VGXT. The department also has full access to the Internet. A complete description of, and introduction to, departmental computer resources can be found in a separate document entitled The Hitchhiker's Guide to FSU Mathematics Computing, available from the system support staff. Departmental resources should suffice at least initially. As your research progresses, however, you may need access to specialized equipment - e.g., SP3 and SP4 or Connection Machine supercomputers - which is available outside the department. If so, then you should discuss the matter with your major professor.

Your first concern should be to obtain a UNIX computer account as soon as possible. Such an account will allow you to communicate with your fellow graduate students and instructors using e-mail (electronic mail). Many interdepartmental announcements are made via e-mail; thus, even if your research does not require the use of a computer, you should still obtain an account and check your e-mail regularly. Of course, the account will also enable you to prepare documents, program, and use application packages (e.g., Maple, Mathematica, IMSL) on our machines. To obtain an account, make an appointment with the system administrator (Mickey Boyd, Room 004B Love, Phone 7167).

There are two main sources of information concerning departmental computing resources. One is the aforementioned Hitchhiker's Guide. The other is called gopher. It is an online information system that will allow you to find out more about our computers and other computer resources around the world. The Hitchhiker's Guide will get you started and instruct you on how to run gopher.

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Appendix C
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Using the Library System
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Florida State University's collections are housed in several buildings, the most important of which are the R.H. Strozier building and the Science Center Library (Dirac Science Library). The R.H. Strozier building contains books and journals on the humanities and social and behavioral sciences, whereas the Science Center Library contains books and journals on mathematics and the physical and life sciences. Thus most of the books and journals you need will be found in the Science Center Library.

From either building you can obtain copies of leaflets describing the library system in detail. See also their web pages. The following, in particular, are recommended:

Computers in the FSU Libraries
Beginning Your Research
Databases on CD-ROM
Introduction to LUIS: Library User Information Service
LUIS: Keyword Searching
LUIS: Indexes to Articles
LUIS: Remote Access

You can obtain information about the library's holdings - including whether an item is checked out - by accessing LUIS (Library User Information Service) via the internet. Even if FSU does not own a copy of the item you require, you can obtain it via interlibrary loans from another library in one of Florida's nine state universities (whose holdings can also be checked via LUIS) or elsewhere.

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Appendix D
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Checklists of Degree Requirements
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D.1 Checklist of requirements for master's by coursework
To qualify for a master's by coursework you must:

  1. Demonstrate an acceptable standard of spoken English if English is not your native language.
  2. Complete at least 32 hours of acceptable course work
  3. Maintain a 3.0 grade point average
  4. Teach a class
  5. Have a major professor and supervisory committee appointed
  6. Submit an acceptable program of studies
  7. Take and pass the Master's Comprehensive Examination
  8. Be in residence a minimum of 2 semesters
  9. Complete all requirements within 7 years
  10. Make formal application for the degree with the Registrar
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D.2 Checklist of requirements for master's by thesis
To qualify for a master's by thesis you must:

  1. Demonstrate an acceptable standard of spoken English if English is not your native language.
  2. Complete at least 30 hours of acceptable course work
  3. Maintain a 3.0 grade point average
  4. Teach a class
  5. Have a major professor and supervisory committee appointed
  6. Take and pass the MCE
  7. Prepare and submit an acceptable thesis
  8. Prepare and submit an acceptable abstract of the thesis
  9. Have the thesis approved by the University Graduate Affairs office
  10. Register for at least 6 hours of thesis credit
  11. Successfully defend the thesis
  12. Be in residence a minimum of 2 semesters
  13. Complete all requirements within 7 years
  14. Make formal application for the degree with the Registrar
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D.3 Checklist of requirements for PhD
To qualify for a PhD you must:

  1. Pass a reading examination in French, German or Russian and demonstrate an acceptable standard of spoken English if English is not your native language
  2. Complete an acceptable program of courses including a minor area of study
  3. Maintain a 3.0 grade point average
  4. Teach a class
  5. Have a major professor and supervisory committee appointed
  6. Submit an acceptable program of studies
  7. Take and pass the written part (part 1 and 2) of the DPE
  8. Prepare and submit an acceptable prospectus
  9. Take and pass the oral part of the DPE (defend the prospectus)
  10. Be admitted to candidacy
  11. Prepare and submit an acceptable dissertation
  12. Prepare and submit an acceptable abstract of the dissertation
  13. Have the thesis approved by the University Graduate Affairs office
  14. Register for at least 24 hours of dissertation credit
  15. Successfully defend the dissertation
  16. Be in continuous residence for a whole year after taking either 30 semester hours of graduate credit or a master's degree
  17. Complete all requirements within 5 years of passing the DPE
  18. Make formal application for the degree with the Registrar
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Appendix E
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Obtaining an Application
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If you are not yet enrolled in the Mathematics Graduate Program and would like a graduate application packet: for online services see FSU Mathematics Admission Info; or email your name, address and program(s) of interest to graduate_admissions@math.fsu.edu
 
 



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