Degree requirements

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Description

 
 

Requirements

 
 

Ph.D requirements

 
  Preliminary exams  
 

Qualifying exams

 
 
All students working toward graduate degrees must satisfy the general requirements as listed by the SSE.

Read below for specific requirements for the:

  • Ph.D in Mathematics
  • M.S. in Mathematics
  • M.S. in Applied Mathematics
  • M.S. in Statistics

Ph.D. requirements (see a more detailed description of requirements)

1.

Complete at least 48 hours of coursework.  Up to two courses may be taken in another department with the approval of the Graduate Studies Committee. For advanced incoming students, limited transfer credit is possible.

2.

Pass a preliminary exam on topics from Advanced Calculus and Linear Algebra. Read the preliminary exam syllabus for details and previous exams.

3. Pass qualifying written exams on in Analysis and two others chosen from among:

Applied Mathematics, PDE, Algebra, Topology, Scientific Computation, Probability and Statistics, and Differential Geometry

Read exam syllabi for qualifying exams...

4.

Pass an oral exam on specific topics of research interest to the student.

5.

Write a dissertation.

M.S. in Mathematics requirements

This program is designed to provide students with the opportunity to broaden and deepen their knowledge of core areas of mathematics. The course work is designed to provide both breadth of knowledge and depth in an area of interest to the student. This experience will prepare the student for further studies leading to a Ph.D. degree in mathematics. Partial tuition waivers may be available to qualified students.

List of required courses
  • The sequence Math 721-722 Analysis I-II
  • Either the sequence Math 701-702 (Topology I-II) or the sequence Math 711-712 (Algebra I-II)
  • Math 798 Reading and Research (3 credits - for those choosing the non-thesis option) consists of a  semester-long project under the supervision of a  faculty member from the Department
 
List of optional courses
  • Math 603 Introduction of Stochastic Processes
  • Math 621 Differential Geometry
  • Math 630 Complex Analysis
  • Math 641 Topology (except for those who have taken Math 701
  • Math 724 Mathematical Statistics
  • Math 751-752 Differential Geometry I-II
  • Math 753-754 Partial Differential Equations I, II
  • Math 755 Probability
  • Math 771-779 Special Topics courses

Math 798 (required for non-thesis option, see below) consists of a semester-long project under the supervision of a faculty member from the Mathematics Department.

1.  Non-thesis option:
  1. Ten courses (30 credits) at the 600/700 level.
    - All five courses from the required list plus five additional courses from the optional list.
    - Other courses not listed may be substituted with the approval of the Graduate Studies Committee. Up to six credits may be transferred from other departments or institutions with the approval of the Graduate Studies Committee.
  2. A four-hour written examination to be taken upon completion of the course work, with topics drawn from basic material in algebra, topology and analysis taught in the first-year graduate courses. The student is given two chances to pass this exam. One of the Ph.D. Qualifying examinations may be substituted for the Masters exam.
2.

 Thesis option:

  1. Eight courses (24 credits) at the 600/700 level.
    - The first four courses from the required list plus four additional courses from the optional list.
    - Other courses not listed may be substituted with the approval of the Graduate Studies Committee. Up to six credits may be transferred from other departments or institutions with the approval of the Graduate Studies Committee.
  2. A thesis approved by the thesis committee consisting of a faculty member acting as advisor and two additional faculty. The thesis is typically much more substantial than the Math 798 project.

M.S. in Applied Mathematics requirements

This program is designed to provide students with the opportunity to broaden and deepen their knowledge of mathematics with an emphasis on those areas that have been most important in science and engineering. The student will also examine, through seminars and case studies, examples of significant applications of mathematics to other areas. This expanded base of knowledge, together with extensive experience in problem solving should prepare the student for further studies leading to the Ph.D. degree or for immediate employment in many areas of industry and government.

To enter the program the student should have a Bachelor's degree in mathematics, or a related field, and have completed undergraduate courses in Linear Algebra and Differential Equations. Students without these prerequisites may take them without credit toward the M.S. degree. Partial tuition waivers may be available to qualified students.

List of required courses
  • Math 605 Real Analysis I
  • Math 630 Complex Analysis
  • Math 631 Scientific Computing
  • Math 647 Analytic Methods of Applied Mathematics
  • Math 731 Applied Mathematics I
  • Math 798 Reading and Research (3 credits - for those choosing the non-thesis option)
List of optional courses
  • Math 635 Optimization Theory
  • Math 732 Applied Mathematics II
  • Math 734 Numerical PDEs
  • Math 753-754 Partial Differential Equations I- II
  • Math 757-8 Computation I-II
  • Math 773 Topics in Applied Mathematics
  • Math 774 Topics in Computation

Math 798 consists of a semester-long project in differential equations, scientific computation, optimization, analytical methods, engineering or other topics in applied mathematics. The project must be under the supervision of a faculty member from the Mathematics Department.

1.  Non-thesis option:
  1. Ten courses (30 credits) at the 600/700 level.
    - All six courses from the required list plus four additional courses from the optional list.
    - Other courses not listed may be substituted with the approval of the Graduate Studies Committee. Up to six credits may be transferred from other departments or institutions with the approval of the Graduate Studies Committee.
  2. A four-hour written examination to be taken upon completion of the course work, with topics drawn from differential equations, and scientific computation. The student is given two chances to pass this exam. The Ph.D. Qualifying examination in Applied Mathematics or Scientific Computation can be substituted for the Masters exam.
  3. A programming project designed to demonstrate proficiency in one of MATLAB, Fortran, C, or C++.
2.

 Thesis option:

  1. Eight courses (24 credits) at the 600/700 level.
    - The first five courses from the required list plus three additional courses from the optional list.
    - Other courses not listed may be substituted with the approval of the Graduate Studies Committee. Up to six credits may be transferred from other departments or institutions with the approval of the Graduate Studies Committee.
  2. A thesis approved by the thesis committee consisting of a faculty member acting as advisor and two additional faculty. The thesis is typically much more substantial than the Math 798 project.
  3. A programming project designed to demonstrate proficiency in one of MATLAB, Fortran, C, or C++.

M.S. in Statistics requirements

The Master of Science degree in Statistics combines theory and application. Students in statistics will be trained in data collection, the editing and presentation of large data sets, the analyses of these sets and the mathematical foundations upon which all of these areas are based. The training has the two-fold purpose of preparing the student to enter commercial, governmental and other work areas which extensively rely on statistical information and to prepare the student to continue in pursuit of a more advanced degree. Students with appropriate background (three semesters of Calculus and some knowledge of elementary statistics) usually complete the program in one or two academic years. Partial tuition waivers may be available to qualified students.

Course prerequisites include the equivalent of Math 601: Probability and Statistics and Math 609: Linear Algebra. Students without these prerequisites may take them without credit toward the M.S. degree.

List of required courses
  • Math 602/724 Mathematical Statistics
  • Math 603 Introduction to Stochastic Processes
  • Math 604/726 Linear Models
  • Math 736 Data Analysis
  • Math 777 Topics in Statistics
  • Math 798 Reading and Research (3 credits)
List of optional courses
  • Math 635 Optimization Theory
  • Math 755 Probability
  • Math 757 Scientific Computation I
  • Math 721 Analysis I
  • Math 777 Topics in Statistics
  • Bios 708 Design of Experiments
  • Bios 715 Categorical Data Analysis
  • Bios 740 Clinical Trials

Math 798 consists of a semester-long project in statistical data analysis, biostatistics, economics, environmental science, engineering, geology, or psychology. The project must be under the supervision of a faculty member from the Mathematics Department and must be approved by the student's advisor.

1.  Non-thesis option:
  1. Ten courses (30 credits) at the 600/700 level.
    - All six courses from the required list plus four additional courses from the optional list.
    - The student must have an advisor from the Prob/Stat group. Other courses not listed may be substituted with the approval of the student advisor and the Graduate Studies Committee. Up to six credits may be transferred from other departments or institutions with the approval of the student advisor and the Graduate Studies Committee.
  2. A four-hour written examination to be taken upon completion of the course work, with topics drawn from probability, stochastic processes, and statistics. The student is given two chances to pass this exam. The Ph.D. Qualifying examination in Statistics can be substituted for the Masters exam.
2.

 Thesis option: There is no thesis option for the M.S. in Statistics.

4 + 1 M.S. program in Statistics

 

This program enables students to obtain a B.S. in mathematics in 4 years, and in one additional year, to obtain an M.S. in statistics.  Students may present up to four of the following core courses for both their B.S. in mathematics and their M.S. in statistics, provided they obrtain a grade of B or better in each.

  • Math 602            Mathematical Statistics
  • Math 603            Introduction to Stochastic Processes
  • Math 604            Linear Models
  • Math 635            Optimization Theory
  • Math 671/721    Analysis I
  • Math 736            Data Analysis
  • Math 755            Probability
  • Math 777            Topics in Probabiliby and Statistics

 

 

 

 

 

At the discretion of the Statistics Coordinator and the Student's advisor, other similar courses may be subsituted for courses on this list.  Students should normally apply in their third year at Tulane, should have a grade-point average of at least 3.0 in major courses, and obtain a positive recommendation from two Mathematics faculty.  The GRE is not required.

 

 

Note: Any student planning to receive more than one M.S. degree must satisfy all requirements of each degree with no more than two cross-listed courses.

Please contact the Graduate Coordinator if you have additional questions:

Steven Rosencrans, Phone: (504) 862-3447, Office: Gibson 427

Mathematics Department
Tulane University
6823 St. Charles Ave
New Orleans, LA 70118
phone: (504) 865-5727
fax: (504) 865-5063
Last Updated: September 26, 2007
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