Mathematics, Natural Sciences and Technology

You are here


Applied Mathematics and Mathematical Physics PhD

Body: 
  Objectives This program is designed for students interested in research careers in mathematics in the military, industry or government. It also prepares individuals to teaching and/or do research at college.   Admission Requirement All applicants must submit to the Director of Graduate Programs, Department of Mathematical Sciences, their Graduate Record Examination scores, three letters of references from professionals in the area of interest of the applicant, and transcripts from all colleges attended. A minimum of 3.0 on a scale of 4.0 overall and in the courses related to the field of the Ph.D. is required.   APPLIED MATHEMATICS CONCENTRATION Students who desire to enter the Applied Mathematics concentration with Master’s degree must have successfully completed the following courses, by examination or by successfully completing the graduate courses with a grade of B or above: Abstract Algebra, Real Analysis, and Complex Analysis. Depending upon the student’s educational background, some students may also be required to take some master level graduate mathematics courses.   Students who desire to enter the Imaging Applied Mathematics concentration from baccalaureate degree must have successfully completed the following courses, by examination or by successfully completing the undergraduate courses: Advanced Calculus I, Linear Algebra, Statistics, Probability, and Algebraic Structures I. The plan of study for this scenario will be agreed upon by the student, his/her advisor, and the Graduate Committee, Department of Mathematical Sciences. Depending upon the student’s educational background, some students may also be required to take some undergraduate mathematics courses.   MATHEMATICAL PHYSICS CONCENTRATION Students who desire to enter the Mathematical Physics concentration with Master’s degree in physics or a related area must have successfully completed the following courses, by examination or by successfully completing the graduate courses with a grade of B or above: Thermodynamics and Kinetic Theory, Classical Mechanics, Advanced Electromagnetic Theory, and Quantum Mechanics. Depending upon the student’s educational background, some students may also be required to take some masters level graduate mathematics and physics courses.   Students with baccalaureate degrees may enter the mathematical physics concentration with the approval of the Graduate Committee. Depending upon the student’s educational background, some students may also be required to take some undergraduate mathematics and physics courses.   Graduate Assistantship and Fellowship Graduate research or teaching assistantships and fellowships are available. Detailed information and application forms may be obtained from the Applied Mathematics Research Center, or the Department of Mathematical Sciences.    Curriculum The Ph.D. program in interdisciplinary applied mathematics and mathematical physics is flexible enough to accommodate students with diversified backgrounds. In consultation with the Director of Graduate Programs, each student develops a course of study in applied mathematics (Applied Mathematics concentration) or physics (Mathematical Physics concentration) whichever is most relevant to his/her professional and career objectives.    Ph.D. Requirements Courses and Qualifying Examinations      I. CONCENTRATION A: APPLIED MATHEMATICS    A student who enters the program with a baccalaureate degree must complete his/her Master’s degree in the related area. Students who have Master’s degrees with no prior Ph.D. graduate course work must complete 30 credit hours of graduate level courses listed below. In addition at least 9 credit hours of research on dissertation are required. A G.P.A. of 3.0 on a 4.0 scale or above must be maintained.   The program requires the Ph.D. candidate to have reading knowledge of at least one foreign language approved by the Director of Graduate Programs.   Required Courses (12 Credit Hours)   MTSC-863      Functional Analysis 3 Hours MTSC-861      Real Analysis 3 Hours MTSC-871      Complex Analysis 3 Hours   One of the following two courses:   MTSC-887     Image Processing 3 Hours MTSC-821     Scientific Computation I 3 Hours   Electives (18 credit hours) Students may take an additional 18 credit hours from the list of elective courses to satisfy the credit hours requirement with the approval of the student's advisor. Students must take any two of the following courses:   PHYS-657      Mathematical Methods 3 Hours MTSC-885      Computational Geometry 3 Hours PHYS-671      Advanced Electromagnetic Theory 3 Hours MTSC-883      Wavelet Analysis 3 Hours   Qualifying Examinations Upon completing the course requirement, each student must successfully pass two written examinations. One examination is based on two courses selected by the student from Functional Analysis, Real Analysis and Complex Analysis. The other examination is based on two courses selected by the student from Image Processing, Mathematical Methods, Advanced Electromagnetic Theory, Computational Geometry, Wavelet Analysis, Numerical Analysis and Scientific Computation I and courses approved by the Graduate Committee. A student must pass an oral examination on a subject area directly related to his/her dissertation.     II. CONCENTRATION B: MATHEMATICAL PHYSICS   A student who enters the program with a baccalaureate degree must complete his or her Master’s degree in the related area. Students who have Master degrees with no prior Ph.D. graduate course work must complete 39 credit hours of graduate level courses listed below. In addition at least 9 credit hours of research on dissertation are required. A G.P.A. of 3.0 or above on a 4.0 scale must be maintained.   The program requires the Ph.D. candidate to have reading knowledge of at least one foreign language approved by the Graduate Committee. Each candidate is required to take a foreign language reading in mathematics or physics approved by Department of Mathematical Sciences.   A sequence of core courses required by all Ph.D. candidates includes the following: PHYS-665 Statistical Mechanics, PHYS-672 Advanced Electromagnetic Theory, PHYS-676 Quantum Mechanics, PHYS-655 Computational Methods, MTSC-863 Functional Analysis or MTSC-857 Integral Equations, and MTSC-871 Complex Analysis. Any student found deficient in any of these areas may be required to take appropriate courses to remove that deficiency.   Required Courses (18 credit hours)   PHYS-655      Computational Methods 3 Hours PHYS-665      Statistical Mechanics 3 Hours PHYS-672      Advanced Electromagnetic Theory 3 Hours PHYS-676      Quantum Mechanics 3 Hours MTSC-863      Functional Analysis 3 Hours MTSC-871      Complex Analysis 3 Hours Electives (12 credit hours)  Students may take an additional 12 credit hours from the list of elective courses to satisfy the credit hours requirement with the approval of the student's advisor. Qualifying Examinations  Each student must successfully pass the written general examination in physics which encompasses the area of Thermodynamics and Kinetic Theory, Classical Mechanics, Advanced Electromagnetic Theory, and Quantum Mechanics. In addition, a student must pass an oral examination on a subject area chosen by his/her advisor.   Elective Courses:   MTSC-821      Scientific Computation I 3 Hours MTSC-822      Scientific Computation II 3 Hours MTSC-833      Stochastic Processes 3 Hours MTSC-853      Partial Differential Equations 3 Hours MTSC-867      Numerical Analysis 3 Hours MTSC-851      Ordinary Differential Equations 3 Hours MTSC-885      Computational Geometry 3 Hours MTSC-857      Integral Equations 3 Hours MTSC-875      Inverse Problems 3 Hours MTSC-887      Image Processing 3 Hours MTSC-811      Abstract Algebra 3 Hours PHYS-655      Computational Methods 3 Hours PHYS-665      Statistical Mechanics 3 Hours PHYS-671      Advanced Electromagnetic Theory I 3 Hours PHYS-672      Advanced Electromagnetic Theory II 3 Hours PHYS-652      Classical Mechanics 3 Hours PHYS-657      Mathematical Methods 3 Hours PHYS-661      Solid State Physics 3 Hours PHYS-675      Quantum Mechanics 3 Hours MTSC-883      Wavelet Analysis 3 Hours MTSC-889      Topics in Applied Mathematics 3 Hours Dissertation  Each student must select or have assigned by the Ph.D. Program Committee, two dissertation advisors, one in mathematics and one in physics or a related applied area. The most important requirement for the Ph.D. degree is the satisfactory completion of a scientific investigation, and the writing of a dissertation on that investigation represents a significant contribution to the research literature. Each student must complete a dissertation with his/her dissertation advisors and successfully defend the dissertation before his/her Ph.D. Program Committee of five members including one external examiner.   MTSC-890       Dissertation 3-9 Hours Sustaining Status Once a student has completed all the course requirements, passed the Qualifying Examinations, met the language requirements, and registered for 9 credits of dissertation (MTSC-890), but has not completed his/her dissertation, then the student is required to maintain his/her matriculation in the degree program by registering for Doctoral Sustaining (MTSC-899). A student must be registered in the semester in which the degree is awarded.    MTSC-899       Doctoral Sustaining 0 Hours         Department Homepage
Rightbar: 

 

Faculty


Dr. Jinjie Liu
Director of Graduate Studies
Department of Mathematical Sciences

 

Physics Education

Body: 
With skilled science teachers in high demand throughout the United States, Physics Education graduates enjoy outstanding career opportunities. That’s especially true for students who earn their degree at Delaware State --- we have a reputation for excellence in teacher preparation, so our students have a competitive edge in the job market. Many of our Physics Ed majors have jobs waiting for them upon graduation, and they get recruited by school districts throughout Delaware and, at times, out of state. The Physics Education program combines theoretical knowledge with hands-on experience. Students develop superior teaching skills by completing more than 20 credit hours of education-related coursework spending an entire semester as a student teacher in a real-world classroom The program also covers the full range of basic subject matter in physics, with coursework in mechanics, optics, astronomy, magnetism, thermodynamics, and nuclear physics. Graduates enter the work force with mastery over the material, as well as the ability to make physics interesting, exciting, and relevant to 21st-century high school students. Professional Preparation The Physics Education program meets all standards of the National Science Teacher Association and the National Council for Accreditation of Teacher Education. Students learn the most current approaches to the teaching of science at the high school level, while learning techniques in classroom management educational psychology the use of technology in the classroom Faculty Physics faculty at Delaware State are highly committed to undergraduate education. Our professors teach their own courses and spend many hours in direct, one-on-one interactions with students. They also are accomplished researchers engaged in high-level inquiries for major funders such as NASA, the Department of Defense, and the National Science Foundation. The physics faculty is extremely diverse, uniting scholars from Asia, Europe, Africa, North and South America. Research and Experience Physics Education majors at Delaware State gain practical classroom experience during the senior year, spending a full semester in a student-teaching placement. They also have opportunities to get involved in on-campus laboratory research. Students are encouraged to apply for internships, interact with scholars and professionals via seminars, and take part in peer activities.    

Pages