MATHEMATICS (MATH)College of Computer, Mathematical and Physical Sciences
1117 Mathematics Building, 301-405-5053
Chair: J. Yorke (Dist Univ Prof, Chair)
Professors: J. Adams, S. Antman (Dist Univ Prof, Assoc Chair APT), R. Balan, J. Benedetto (Dist Teacher Scholar), M. Boyle, P. Brosnan, J. Cohen, D. Dolgopyat, P. Fitzpatrick, G. Forni, M. Freidlin (Dist Univ Prof), H. Glaz, W. Goldman (Dist Teacher Scholar), M. Grillakis, D. Gulick (Assoc Chair, Course Staffing), T. Haines, S. Halperin, D. Hamilton, B. Hunt, P. Jabin, M. Jakobson, A. Kagan (Director of Statistics Program), V. Kaloshin (Brin Chair), B. Kedem, W. Kirwan (Chancellor), D. Kueker, M. Laskowski, C. Levermore, D. Levy (Assoc Chair, Undergraduate Studies), M. Machedon (Assoc Chair, Faculty Affairs), J. Millson, R. Nochetto, S. Novikov (Dist Univ Prof), J. Ren, J. Rosenberg (Davis Prof), J. Schafer, E. Slud, E. Tadmor (Dist Univ Prof, Director of CSCAMM), H. Tamvakis, K. Trivisa (Director of AMSC Program), L. Washington (Assoc Chair, Graduate Studies), R. Wentworth, P. Wolfe, S. Wolpert (Dist Teacher Scholar), G. Yang, J. Yorke (Dist Univ Prof, Chair)
Associate Professors: S. Cerrai, W. Czaja, L. Koralov, D. Margetis, A. Mellet, K. Okoudjou, N. Ramachandran, P. Smith (Assoc Dean), T. VonPetersdorff, C. Warner, H. Winkelnkemper
Assistant Professors: M. Cameron, A. Gholampour, K. Melnick, C. Zickert
Lecturers: C. Cremins (Senior Lecturer), J. Daberkow (Senior Lecturer), D. Franklin (Senior Lecturer), F. Gulick (Senior Lecturer), M. Jarchow, K. McLaren (Senior Lecturer), S. Orsetti, T. Pilachowski, W. Schildknecht (Acad Prog Coord), E. Shearn, J. Stone (Senior Lecturer), C. Terpos, K. Truman (Acad Advisor), J. Wyss-Gallifent (Senior Lecturer)
Affiliate Professors: D. O'Leary, G. Stewart (Dist Univ Prof)
Adjunct Professors: M. Bhatia, J. Xu
Professors Emeriti: W. Adams, J. Alexander, J. Auslander, I. Babuska (Dist Univ Prof Emeritus), C. Berenstein, K. Berg (Assoc Prof Emeritus), M. Brin, J. Cooper, E. Correl, D.Lay (Dist Teacher Scholar), J. Dancis (Assoc Prof Emeritus), G. Ehrlich, R. Ellis, J. Fey, J. Goldhaber, R. Good, P. Green, M. Heins, G. Helzer (Assoc Prof Emeritus), R. Herb, J. Horvath, R. Johnson, R. Kellogg, H. King, A. Kleppner, G. Lehner, R. Lipsman, N. Markley, U. Neri, F. Olver, J. Osborn, J. Owings, J. Sather (Assoc Prof Emeritus), D. Schneider (Assoc Prof Emeritus)
Visiting Faculty: M. Macasieb (Visit Asst Prof)
The program in mathematics leads to a degree of Bachelor of Science in mathematics and offers students training in preparation for graduate work, teaching, and positions in government or industry. Mathematical training is integrated with computer use in several courses. Because a strong mathematical background is important in many fields, over half of UMCP mathematics majors are double majors. Additional information on these topics and mathematics is available from the departmental website.
The Department of Mathematics educates its majors in a broad range of modern mathematics while instilling in them a strong ability to solve problems, apply mathematics to other areas, and create rigorous mathematical arguments. The program prepares the majors to further their mathematical education in graduate school, or to teach at the secondary school level, or to work in government or business.
Program Learning Outcomes
1. Students will acquire problem-solving skills in a broad range of significant mathematics.
Academic Programs and Departmental Facilities
Combined B.S./M.A. Program in Mathematics
The Department of Mathematics offers a combined B.S./M.A. degree program for students with exceptional ability and interest in mathematics. Students enrolled in the Combined Degree Program may count up to 9 credits of coursework taken for their undergraduate degree toward the M.A. degree as well. For further information, please consult the Mathematics Department Web Page: www.math.umd.edu/undergraduate/majors/bsma.html.
Placement in Courses
The Department of Mathematics has a large offering to accommodate a great variety of backgrounds, interests, and abilities. The department permits students to take any course for which they have the appropriate background, regardless of formal course work. For example, students with a high school calculus course may be permitted to begin in the middle of the calculus sequence even if they do not have advanced standing. Students may obtain undergraduate credit for mathematics courses in any of the following ways: passing the appropriate CEEB Advanced Placement Examination, passing standardized CLEP examinations and through the department's Credit-by-Examination. Students are urged to consult with advisors from the Department of Mathematics to assist with proper placements.
Statistics and Probability and Applied Mathematics
Courses in statistics and probability and applied mathematics are offered by the Department of Mathematics. These courses are open to non-majors as well as majors, and carry credit in mathematics. Students wishing to concentrate in the above may do so by choosing an appropriate program under the Department of Mathematics.
Requirements for the Major
There are three tracks for the major: the traditional track, the secondary education track, and the statistics track. The secondary education track is for students seeking to become certified to teach mathematics at the secondary level. Each mathematics major must complete each required course with a grade of C- or better.
Other Requirements for the Major
AREAS OF STUDY
Within the Department of Mathematics there are a number of identifiable areas which students can pursue to suit their own goals and interests. They are briefly described below. Note that they do overlap and that students need not confine themselves to one of them.
1. Pure mathematics: Courses that belong to this area include: MATH 402, 403, 404, 405, 406, 410, 411, 414, 430, 432, 436, 437, 445, 446, 452, 456, and STAT 410, 420. Students preparing for graduate school in mathematics should include MATH 403, 405, 410, 411 (or 412) and 463 (or 660) in their programs. MATH 432 (or 730) is also desirable. Other courses from the above list and graduate courses are also appropriate.
2. Secondary teaching: In addition to the courses required by the Secondary Education Track, the following courses are particularly suited for students preparing to teach: MATH 401, 406, 445, 470 and 475.
Students who are interested in secondary teaching should contact also the College of Education for certification requirements and other information: www.education.umd.edu/studentinfo.
3. Statistics: For a student with a Bachelor's degree seeking work requiring some statistical background, the minimal program is STAT 400-401. To work primarily as a statistician, one should combine STAT 400-401 with STAT 430 and at least one more statistics course, most suitably, STAT 440. A deeper sequence is STAT 410, 420, 430. This offers a better understanding and wider knowledge of statistics and is a general purpose program (i.e., does not specify one area of application). For economics applications, MATH 424, STAT 400, 401, 430, 440 should be considered. To prepare for graduate work, STAT 410 and 420 give the best background, with STAT 430, 440 added at some later stage.
4. Computational mathematics: There are a number of math courses which emphasize the computational aspects of mathematics including the use of the computer. They are AMSC 460, 466, MATH 431, 456, 475 and STAT 430. Students interested in this area should take the CMSC supporting sequence as soon as possible.
5. Applied mathematics: The courses that lead most rapidly to applications are the courses listed above in 3 and 4 and MATH 401, 412, 414, 416, 420, 452, 462, and 464. A student interested in applied mathematics should obtain, in addition to a solid training in mathematics, a good knowledge of at least one area in which mathematics is currently being applied. Concentration in this area is good preparation for employment in government and industry or for graduate study in applied mathematics.
Requirements for the MinorThe Department of Mathematics offers Minors in the following areas:
A Minor offers a structured program of study outside a student's major. See www.math.umd.edu/undergraduate/opportunities for detailed information.
Advising for math majors is mandatory. Students are required to sign up for an advising appointment online, beginning the week before early registration. Students who have been away more than two years may find that due to curriculum changes the courses they have taken may no longer be adequate preparation for the courses required to complete the major. Students in this situation must meet with the Department Advisor to make appropriate plans.
Undergraduate Research Experiences
There are a variety of undergraduate research opportunities in mathematics at Maryland. For detailed information see
The Mathematics Honors Program is designed for students showing exceptional ability and interest in mathematics. Its aim is to give a student the best possible mathematics education. Participants are selected by the Departmental Honors Committee during the first semester of their junior year. A precise statement of the requirements may be found at www.math.umd.edu/undergraduate/opportunities/DepartmentalHonors.html
The department also offers a special department honors sequence MATH 340-341 for promising freshmen with a strong mathematical background (including calculus). Enrollment in the sequence is by invitation. Participants in Honors College may also enroll in special honors sections of the lower-level mathematics courses (MATH 140H, 141H, 240H, 241H, 246H). Students in Math 340-341 and the special honors sections need not be math majors.
The mathematics departmental honors sequence and the Honors College program are distinct, and enrollment in one does not imply acceptance in the other.
Student Societies and Professional Organizations
There are several student-run groups within the department: the Math Club, Pi Mu Epsilon, and Women in Math. For information, please visit:
Awards and Recognition
Aaron Strauss Scholarships: One is awarded each spring to an outstanding non-graduating math major. The recipient receives full remission of (in-state) tuition for the following academic year. Applications may be obtained early in the previous spring semester from the Mathematics Undergraduate Office, 1117
Aziz Mathematics Scholarship: The Aziz scholarship is the department's highest award of mathematical excellence for a non-graduating math major. When eligible, the receipient receives a monetary award to cover in-state tuition in the following academic year.
Dan Sweet Scholarship: A one-semester stipend awarded to a math major on the basis of merit.
Edgar Krahn Scholarship: A monetary award is made on the basis of performance in the Maryland High School Mathematics Competition.
Euclid Teaching Assistantship: This is an opportunity for a math major planning to teach in secondary or middle school to work as an undergraduate TA. Apply in the spring for the following year
Higginbotham Prize: A monetary award is made to an outstanding junior math major in the spring.
Milton Abramowitz Award: A monetary award is made to an outstanding junior or senior math major in the spring.
Outstanding Senior Award: A monetary award is made to the outstanding graduating math major.
Secondary Education-Mathematics (SEM) Scholarship: Up to two are awarded in the spring to Secondary Education-Mathematics double majors.
Strauss Teaching Assistantship: This is an opportunity for outstanding math majors to work as an undergraduate TA. Apply in the spring for the following year.
For further information on awards, consult www.math.umd.edu/undergraduate/opportunities