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Mathematics

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Title: Mathematics


1
Mathematics Statistics at ODU Foundational,
Yet on the Move Decanal Review
Presentation 2000-2001
2
Overview
  • The Math Stat Department is involved in all
    three aspects of the university mission in a
    vital way
  • the learning process, with large and diverse
    enrollments
  • the discovery process, with significant
    publication and grant activity
  • community engagement, with prominent service
    functions to the university, the profession, and
    citizens

3
Overview
  • Applied mathematics (modeling and algorithms) is
    instrumental to the growth of the College in the
    fastest-growing modality of science simulation
  • theory and experiment are centuries old and grow
    incrementally
  • simulation is nascent and is growing by leaps
  • Mathematics and statistics are instrumental in
    all intellectual domains spanned by the College
  • prerequisites for other scientific endeavors
  • often determinative for success in scientific
    endeavors

4
Math Stat in the ODU Strategic Plan
  • SI 1 (distinctive undergraduate programs)
  • well-rated teaching faculty and service courses
  • curricular innovation in calculus teaching
  • attention to retention at the transition to
    calculus
  • participation in learning communities (CS, ENGR)
  • strong secondary education majors track (CAP
    aspect)
  • SI 2 (excellent graduate programs)
  • one of relatively few applied math (only)
    doctoral programs in the country
  • 53 doctoral alumni since 1984 (avg. 3.3/yr.)

5
Math Stat in the ODU Strategic Plan
  • SI 4 (develop areas of national prominence)
  • well-poised to contribute to HPC/CSE
  • interactions with many local and federal
    organizations
  • proven ability to recruit top new faculty
    prospects
  • need attention to graduate student recruitment
  • SI 5 (distance education)
  • Teletechnet participation on as requested basis
  • 8 courses in current 5-semester window (see later
    slide)
  • live Virginia Beach Center offerings
  • 2 courses on site in current 5-semester window

6
Math Stat in the ODU Strategic Plan
  • SI 6 (international programs)
  • mathematics statistics are universal subjects
  • department draws students internationally
  • some departmental faculty travel internationally
    with regularity
  • SI 7 (information technology ready)
  • computer-based calculus sequence
  • asynchronous web learning pages
  • two departmental NSF proposals for innovative IT
    use in classroom during calendar 2000, so far

7
Math Stat in the ODU Strategic Plan
  • SI 9 (inclusive environment)
  • department has above national average percentages
    of female majors at undergraduate and graduate
    levels
  • legacy of respect for diversity in the department
    (absence of strife or actions that are
    diversity-related)
  • SI 10 (co-ops and partnerships)
  • strong potential for applied math, stat, and
    biostat faculty to consult and students to intern
    with private and governmental organizations
  • strong research partnerships with EVMS, NASA
  • teaching enrichment for local high school faculty

8
Math Stat in National Strategic Plans
  • Variety of recent federal reports highlight need
    for mathematicians in interdisciplinary teams
    with scientists and technologists
  • March 1998 Senior Assessment Panel for U.S.
    Mathematical Sciences (Odum report)
  • August 1998 Presidents Information Technology
    Advisory Committee
  • November 1998 Workshop on Advanced Scientific
    Computing
  • Current federal and state elections focus on need
    for better mathematically trained K-12 teachers
  • As needs increase, national mathematics Ph.D.
    production barely holds steady, and undergraduate
    major production declines

9
ODUs Math Stat in Perspective
  • The ODU Math Stat faculty represents 1/250th of
    the nations doctoral institution math faculty
    and 1/25th of the universitys faculty
  • With applied orientations, we are relatively rare
    applied mathematics is notoriously marginalized
    by majority pure mathematicians on most campuses
  • Applied mathematicians are, almost by definition,
    conversant in the application domains of faculty
    in other academic departments a healthy applied
    math department is a major institutional resource

10
Importance of Applied Mathematicians
It is imperative to find new ways to speed the
flow of mathematical discoveries between academic
mathematical scientists and those who use their
results, and between different fields of the
mathematical sciences. For the benefit of the
Nation and of U.S. mathematics, there must be
more effective interaction between mathematicians
and users of mathematics. All participants in
mathematics must share the responsibility for
improving this interaction From the Senior
Assessment Panel (Odum Report), 1998
11
Faculty Demographics
  • 28 full-time faculty
  • 11 professors (two eminent, one university)
  • 11 associate professors
  • 4 assistant professors
  • 1 senior lecturer
  • 1 instructor
  • 4-6 adjunct faculty, from semester to semester
  • 1999-2000 Computational Sciences recruiting
  • Cynthia Spade (Northwestern), advanced materials
  • Michael Wagner (Cornell), optimization

12
Staff Demographics
  • Office Staff
  • Barbara Jeffrey (AMP-3, new classification)
  • Gayle Tarkelson (AMP-2, new classification)
  • Computer Consultant
  • Jonathan Locke (UG major, hourly employee)

13
1999 Student Demographics
  • Gender distribution
  • Undergraduate 71 women (vs. 44 nationally)
  • Graduate 35 women (vs. 31 nationally)
  • Nationality distribution
  • United States 58 (vs. 53 nationally)
  • Internationals drawn from 13 countries,
    presently
  • Bangladesh, China, Denmark, Greece, India,
    Indonesia, Jordan, Lebanon, Netherlands, Saudi
    Arabia, Sweden, Thailand, U.K.
  • 4 international students in statistics are here
    with full support from their own countries

14
Learning Overview
  • Undergraduate and graduate programs
  • Enrollment statistics
  • Teletechnet participation
  • Learning Community participation
  • Applied Math program curricular highlight
  • Statistics program curricular highlight
  • Richard F. Barry Colloquium
  • Student ratings of the department
  • Proposed curricular innovations

15
Undergraduate Programs
  • Three tracks
  • Applied Mathematics
  • Statistics/Biostatistics
  • Secondary Mathematics Education
  • Departmental ranking in national senior
    undergraduate assessment (major field exams)
    75th percentile (April 2000)

16
Graduate Programs
  • Two tracks
  • Computational and Applied Mathematics
  • Statistics/Biostatistics
  • 53 doctorates in the 16 years of the program
  • Contributing to ODUs new top Carnegie ranking
  • 60 in education
  • UPenn, Tulane, Hampton, NSU, etc.
  • 28 in industry/medicine
  • UBS-Warburg, SAIC, Smith-Kline-Beecham, EDS, etc.
  • 11 in government laboratories
  • NASA, NIST

17
Student Credit Hour Trends
Fall Semester, 4-year window
National trend (AMS, 2000) UG enrollments up
8.6 over last 5 years
18
FTE Students
Fall Semester, 4-year window
19
Departmental Student Headcounts
4-year window
National trends (AMS) UG down 16.2, Grad down
12.3 over last 5 years
20
Graduates
4-year window
21
Fall 1999 vs.Fall 2000 Enrollments
22
Fall 2000 Large Enrollment Service Courses
23
Math Faculty Carrying Large Enrollment Courses,
Fall 2000
24
Teletechnet Courses, Fall 99 - Spring 01
25
Math Stat in Service to ODU
  • Only approximately 12 of all Math Stat course
    enrollments are in upper-level electives for
    majors or graduate students
  • Remainder are in lower-level service courses
  • 142 courses in 24 departments throughout the ODU
    catalog have Math Stat prerequisites
  • Large majority of Math Stat staffing is service
    course-oriented
  • New Interdepartmental Relations Committee
    launched in Fall 1999 to become client-friendly

26
Learning Community Participation
  • Department participates every semester
  • This fall, there are six Learning Communities
    (LC) enrolled in various math classes
  • Math 102 Comp Sc LC (9) Doviak
  • Math 162 Engr LC (18)(21) Atiyah (2)
  • Math 163 Engr LC (15) Crumpler
  • Math 163 Engr LC (12) Hutchinson
  • Math 211 Engr LC (10) Kroll

27
Mathematics Program Highlight Undergraduate
Computer Laboratory
  • History
  • 1991 Development of a Computer-based Calculus
    Curriculum submitted to SCHEV (Melrose, Bogacki,
    Wohl)
  • 1992 135,750 grant awarded through Funds For
    Excellence program
  • 1993 Ed 128 Ed 126 converted to an Electronic
    classroom Computer Lab
  • 1993 First sections of computer-based Calculus I
    and Calculus II taught

28
Undergraduate Computer Laboratory
  • History
  • 1995 Ed 131 converted to Electronic Classroom
  • 1995 All sections of Calculus I, II and III are
    taught computer-based.
  • 1999-2000 Upgrade of hardware to all Pentium
    class machines. Software upgraded to Windows NT
    and Mathcad 2000 Professional

29
Undergraduate Computer Laboratory
  • Courses taught
  • Math 211, Calculus I - Typically 5 sections
  • Math 212, Calculus II - Typically 4 sections
  • Math 312, Calculus III - Typically 2 sections
  • Math 302, Geometry
  • Math 316, Applied Linear Algebra
  • Math 408, Applied Numerical Methods
  • Math 621, Adv. Numerical Analysis I
  • Stat 405, SAS-Intro to Data Handling

30
Lab Schedule - Spring 2001
31
Resources for Success in Calculus
  • Help Sessions (26 hours/week, Fall 2000)
  • 5pm - 8pm Tuesday
  • 10am-10pm Wednesday
  • 1pm - 3pm Thursday
  • 6pm -10pm Thursday
  • 11am -4pm Friday
  • Open Lab (14 hours/week, Fall 2000)
  • 5pm-10pm Tuesday
  • 9am-10pm Wednesday
  • 9am-10pm Thursday
  • 9am - 4pm Friday

32
Manpower Requirements
  • Fall 2000
  • 11 Lab Assistants (3 GTAs, 8 undergrads)
  • 118 hours

33
Mathcad Demo
  • Minimise Powerpoint and do demo of Mathcad
    examples

34
Statistics Program Highlights
  • Undergraduate program
  • Integrates technology
  • Adventures in Statistics
  • Teletechnet presence
  • Graduate program
  • Majority of current doctoral students
  • Excellent U.S. and international recruitment
  • Professional continuing education for Public
    Health, Engineering Management, EVMS, NASA

35
(No Transcript)
36
Ask Marilyn
Suppose youre on a game show, and youre given
the choice of three doors Behind one door is a
car behind the others, goats. You pick a door,
say No. 1, and the host, who knows whats behind
the doors, opens another door, say No. 3, which
has a goat. He then says to you, Do you want to
pick door No. 2? It is to your advantage to
switch your choice?
37
(No Transcript)
38

New Books by ODUs D. N. Naik
39
Richard F. Barry Colloquium
  • Regular colloquium a priority recommendation of
    most recent Math Stat external review
  • In its second year
  • 29 seminars in first 15 months
  • Supported by new R. F. Barry Chair endowment
  • Embraced by faculty
  • 9 have spoken in it, plus one alumnus
  • Diverse affiliations of speakers
  • university, industry, government laboratories
  • 5 from abroad

40
Richard F. Barry Colloquium
  • Diverse subject matter
  • Biostatistics
  • Optimization
  • Modeling of physical phenomena
  • Numerical analysis/computational science
  • Benefits
  • aids research and collaborations
  • raises external visibility
  • important exposure for graduate students
  • important for recruiting future graduate students

41
Richard F. Barry Colloquium
  • Future plans
  • greater university and external publicity for
    seminar
  • long-term planning to insure diversity of content
    while also accommodating departmental recruiting
  • improved facilities
  • additional track for in the family seminars for
    graduate students

42
Student Evaluation Ratings
By Course Level, All Sections,CY 1999
Also note 100 satisfaction rating overall,
among the few respondents to the 1999 Senior
Student Satisfaction Survey
43
Proposed Curricular Innovations
  • Computational Science Engineering
  • draft of new certificate program on-line at
    http//www.siam.org/world/compsci/cplsci.htm
  • Bioinformatics
  • participation with CS and Biology in university
    budget initiative for 2000-2001
  • participation in Deans Lecture Series, Spring
    2001
  • Financial Mathematics
  • to be explored by four ODU math faculty at new
    NSF math institute (IPAM) at UCLA, January 2001

44
Discovery Overview
  • Publication profile
  • Presentation profile
  • Grant and contract profile
  • External research collaborations
  • Recognition

45
Research Productivity Profile
  • Of 26 permanent members of the faculty in 1999
  • 21 published at least one scholarly paper
  • 20 gave at least one scholarly presentation
  • 12 had at least one doctoral student under active
    supervision
  • 9 had current external funding support
  • This 35 external support rate is identical to
    the national average for fulltime mathematical
    sciences faculty at U.S. doctoral institutions
    (versus 67 in the physical sciences and 69 in
    the biological sciences) according to the 1998
    Odum report for the National Science Foundation.

46
Faculty Publication Profile
  • From 26 permanent members of the faculty in 1999,
    there were 77 scholarly publications, including
  • 2 books
  • 44 articles in archival journals
  • 24 chapters in proceedings and books
  • 7 other publications

47
Faculty Presentation Profile
  • From 26 permanent members of the faculty in 1999,
    there were 70 external presentations, including
  • 10 invited talks at national/international
    meetings
  • 25 invited departmental seminars (outside of ODU)
  • 35 contributed presentations or minisymposium
    talks at national/international meetings

48
Externally Sponsored Projects
  • Current Math Stat faculty now enjoy or have had
    research sponsorship from
  • NASA (13 different faculty)
  • National Science Foundation (10)
  • Eastern Virginia Medical School (5)
  • Department of Defense (5)
  • Department of Energy (2)
  • Prorated in-house research expend.,99-00 750K
  • Direct faculty support through ICASE, in addition
  • Direct student scholarship support, in addition

49
External Funding
Expenditures by fiscal year (thousands)
50
External funding breakdown
AY 1999-2000
51
Research Interests of the Statistics Faculty
  • Applied Probability
  • Applied Statistics
  • Biostatistics
  • Design of Experiments
  • Multivariate Analysis
  • Reliability
  • Statistical Inference

52
Biostatistics
  • Exemplary cooperation between ODU and EVMS
  • citation by President Koch in State-of-U
    addresses
  • Renowned research centers at EVMS
  • Center for Pediatric Research (CPR)
  • Jones Institute for Reproductive Health
  • Geriatric Institute
  • Center for Sleep Disorders
  • More than 400K in research funding from EVMS
    since 1993

53
Center for Pediatric Research (CPR)
  • Established in 1993
  • active departmental engagement since inception
  • Thirteen of our graduate students have worked on
    research projects at CPR
  • Graduate student stipend 13,000 to 15,500/year
  • Two of our graduates have been hired as faculty
  • Department active in CPR recruitment efforts

54
Biostatistics Consulting Center
  • Recently established by Ram Dahiya and Michael
    Doviak
  • Provides statistical consultation to all
    researchers at EVMS
  • First-year funding of 70K
  • Graduate student intern Seemit Sheth

55
Sample Research Projects in Biostatistics
  • Survival analysis of heart transplants
  • Survival analysis of prostate cancer for
    radiation versus surgery
  • Prostate cancer bio-markers
  • Effect of breast feeding on rotavirus infection
  • Effect of sleep disorders on driving
  • Statistical analysis of vaginal bleeding

56
Masters in Public Health
  • Joint EVMS - ODU program
  • ODU statistics group actively involved in
    development of this program
  • development of biostatistics and statistical
    software courses
  • John Morgan and Michael Doviak have been teaching
    courses for MPH

57
Research Interests of the App Math Faculty
  • Approximation Theory
  • Asymptotic Analysis
  • Differential Equations
  • Dynamical Systems
  • Elasticity
  • Fluid Dynamics (incl. Acoustics, Astrophysics,
    Combustion, Geophysics, and Turbulence)
  • Functional Analysis
  • Integral Equations
  • Mathematical Biology
  • Mathematical Programming
  • Numerical Analysis
  • Optimization
  • Scientific Computing

58
Sample Research Projects in Appl Math
  • Analysis of human radiation risk abatement in
    spacecraft
  • Parallel computer algorithms for optically thick
    radiation transport
  • Dynamics of protein folding (optimal drug design)
  • Prediction of noise from ducted fan-jet engines
  • Digital image compression
  • Stability and control of fluid flows and flames

59
Department Shared in 1999 Gordon Bell Prize!
Given annually for best computer performance on a
real-life application, in our case for simulating
the partial differential equations (PDEs) of
aerodynamics
227 Gigaflop/s on a NASA aerodynamics code,
passing all previous performance for PDEs
1 Tflop/s
1 Gflop/s
60
NASA Application Computational Aerodynamics
61
Algorithm Newton-Krylov-Schwarz
Three ideas from classical applied mathematics
were combined to create a 21st century solution
algorithm!
Newton nonlinear solver asymptotically quadratic
Krylov accelerator spectrally adaptive
Schwarz preconditioner parallelizable
62
Engagement Overview
  • Supporting the university
  • Supporting the region
  • Supporting the profession
  • Supporting the nation

63
Supporting the University
  • College committee leadership
  • Technology (Przemek Bogacki)
  • Promotion and Tenure (Stan Weinstein)
  • Interdepartmental Relations Committee
  • Computational Science Engineering
  • Building planning
  • OCCS facilities acquisition
  • Strategic initiatives
  • HPCC/CSE
  • Bioinformatics

64
Interdepartmental Relations Committee
  • Created Fall 1999, under Natalie Hutchinson
  • Tasked with
  • opening lines of communication with client
    departments through their representatives
  • presenting curricular content and demographic
    analyses for 100- and 200-level service courses
  • Sponsored five luncheon meetings with client
    departmental advisors in Spring 2000, each
    targeting a different cluster of Math Stat
    prerequisite courses

65
Interdepartmental Relations Committee
  • Math 104
  • College of Arts Letters
  • Occupational Technical Studies
  • Academic Advising

66
Interdepartmental Relations Committee
  • Stat 130, Math 102, 162
  • College of Health Sciences
  • Communication Theatre Arts
  • Political Science Geography
  • Interdisciplinary Studies
  • Sociology
  • Medical Lab Sciences Environmental Health
  • Nursing
  • Dental Hygiene Dental Assistant

67
Interdepartmental Relations Committee
  • Math 162, 163, 200
  • College of Business
  • Biology
  • Math 162, 163, 205/206, Stat 130
  • Electrical Engineering Technology
  • Ocean, Earth Atmospheric Sciences
  • Interdisciplinary Studies
  • Chemistry Biochemistry

68
Interdepartmental Relations Committee
  • Math 211, 212, 312
  • Civil Environmental Engineering
  • Electrical Computer Engineering
  • Aerospace Engineering
  • Physics
  • Chemistry Biochemistry
  • Computer Science

69
Interdepartmental Relations Committee
  • Outcomes for Fall 2000
  • Catalog descriptions were modified to address
    common advisory problems
  • Order of topical presentation was juggled to
    assist a co-requisite science course
  • Math Stat instructors better able to pose
    exercises in the language of the client
    applications
  • Instructors with common student cadres are better
    acquainted

70
Interdepartmental Relations Committee
  • Issues under investigation, upon request
  • Departmentally sponsored help sessions for
    pre-calculus courses
  • Coordination of student software purchases across
    courses
  • Scheduling smaller sections of introductory
    service courses
  • Reduction of early-semester changes to faculty
    class assignments
  • Renumbering of Math course sequences

71
Supporting the Region
  • Leadership of or partnership with local
    educational institutions in proposal writing
  • Distance learning
  • Teacher training
  • Technical consulting (esp. statistics)
  • Creation of custom professional courses and
    short courses (esp. statistics)

72
Statistics Engagement
  • Free statistics consulting, campus-wide and in
    local technical community, e.g.,
  • ODU Academic Affairs (Seyfrit)
  • Navy
  • Army Corps of Engineers
  • NASA
  • Press interviews on stories with statistics
    angles

73
Supporting the Profession
  • Key leadership and organizational activities in
    professional societies
  • SIAM Council, IISA Board of Officers
  • Key editorial responsibilities
  • SIAM journal editorial board
  • Springer CSE editorial board
  • other journal boards, extensive refereeing
  • Professional meeting organization
  • scientific committees
  • minisymposium organization

74
Supporting the Nation
  • Key alliances with major research agencies
  • DOE
  • Tri-lab ASCI Level-2 partnership (one of 14
    nationally)
  • ISCR Directorship at Lawrence Livermore National
    Lab
  • NASA
  • Radiation Physics Branch, NASA Langley
  • Fluid Mechanics and Acoustics Division, NASA
    Langley
  • ICASE Fellow and Consultants (5 faculty
    presently)

75
Departmental Administration
  • Chair David Keyes
  • Assistant Chair Mark Dorrepaal
  • Statistics Program Director Rao Chaganty
  • Graduate Program Director Glenn Lasseigne
  • Chief Departmental Advisor Richard Noren
  • Computer Czar, Lab Manager Przemek Bogacki
  • Executive Committee (elected)
  • Tenure and Promotion (elected)

76
Standing Departmental Committees
  • Assessment
  • Awards
  • Bulletin Board
  • Colloquium
  • Curriculum
  • External Relations (professional societies)
  • Human Subjects
  • Interdepartmental Relations
  • Library
  • Newsletter
  • Senate
  • Technological Scholarships
  • Technology

77
Departmental Governance
  • Tenure and Promotion Committee
  • Five members elected from tenured faculty
  • Evaluates teaching portfolios
  • Recommends on tenure and promotion to associate
    professor
  • All full professors constitute Promotion
    Committee for recommendations on full professor

78
Departmental Governance
  • Objectives of recently drafted guidelines
  • Reward scholarly activities (publications and
    presentations)
  • Reward effective teaching (using new
    technologies, developing new curriculum, as well
    as classical lectures)
  • Encourage external funding
  • Encourage community and professional services

79
Departmental Governance
  • Executive Committee
  • Three members elected through a proportional
    representation scheme
  • Currently Wu Li, John Morgan, and Stan Weinstein
  • Assists the chair (when necessary) in making
    decisions that might be controversial
  • Serves as anonymous eyes and ears for chair on
    issues important to or sensitive for faculty

80
Departmental Governance
  • Sample model work load assignment

81
Departmental Governance
  • Sample model work load assignment

82
Departmental Governance
  • Sample model work load assignment

83
Departmental Challenges
  • Increasingly poorly prepared incoming classes
  • Increasingly predatory environment for the most
    marketable faculty and students
  • Growing programs
  • in fixed space, with fixed office staff
  • Administrative software infrastructure
  • Short fuse requests of department
  • Maintaining adequate computing support
  • networking, hardware, and personal consulting
  • Frustrations with facilities (lock-outs,
    overbookings)

84
Departmental Needs
  • Faculty hiring
  • numbers for undergraduate teaching mandate
  • new areas for graduate research opportunities
  • freedom to employ adjuncts without accounting
    penalties
  • Space
  • for research (esp. graduate student offices)
  • for mathematics teaching (large blackboards)
  • for community (informal meetings, journals,
    coffee)
  • Graduate stipend support

85
Departmental Opportunities
  • Statistics
  • small, highly rated faculty in high demand
  • staff special offerings for client departments
  • assist in applied research
  • assemble short courses for NASA (Windtunnel
    University)
  • appear as popular speakers in ODU bus tours,
    high schools
  • graduates in high demand
  • specialists in biostatistics, bioinformatics,
    computational statistics
  • Applied Mathematics
  • support university initiatives in CSE
  • curricular and research

86
Take-home Messages
  • ODU Math Stat plays an important role locally
    in the training of mathematicians and
    statisticians, and also scientists, engineers,
    MBAs, health professionals, criminologists,
    teachers, etc.
  • ODU Math Stat serves the region and the nation
    through research advances in the methods of
    applied and computational analysis and
    optimization
  • ODU Math Stat faculty and students are in no
    ivory tower, but are immersed in the language
    and the community of applications
  • While Math Stat will always a service
    department, at minimum, the university can get
    much more out of it with investments that
    leverage external opportunities

87
Follow-up URLs
  • This talk
  • http//www.math.odu.edu/keyes/mathreview.html
  • Departmental home page
  • http//www.math.odu.edu
  • Course offerings
  • http//www.math.odu.edu/courses

Special thanks to Rao Chaganty, Ram Dahiya, Mark
Dorrepaal, Julian Facenda, Barbara Jeffrey, Jerry
Jones, Michael Natalie Hutchinson, Glenn
Lasseigne, Wu Li, Gordon Melrose, Rich Noren,
Connie Schober, Marty Sharpe, and Stan Weinstein
for assistance with the presentation and all the
rest who gave us a horn to toot.
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