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Mathematics

Spring 2003




MATH 100  Introduction to Contemporary Mathematics                3 credits
          (MS)                                              

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3562] 0101 MWF.......10:00am-10:50am (MP  104)       CURIEL, I
[3563] 0201 TuTh.......4:00pm- 5:15pm (MP  101)       STEWART, D


MATH 106  Algebra and Elementary Functions                        3 credits

          Grade Method: REG/P-F/AUD
[3564] 0101 TuTh......11:30am-12:45pm (MP  010)       GAVREA, B
[3565] 0201 TuTh.......8:30am- 9:45am (MP  010)       SMITH, T
[3567] 0401 MWF.......10:00am-10:50am (ACIV145)       BARADWAJ, R


MATH 115  Finite Mathematics (MS)                                 3 credits

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3569] 0101 MWF........2:00pm- 2:50pm (MP  103)       TIGHE, B
[3570] 0201 TuTh.......7:00pm- 8:15pm (MP  101)       MUSCEDERE, M


MATH 132  Mathematics for Elementary School Teachers              4 credits
          II (MS)                                           

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3571] 0101 MWF........8:45am- 9:50am (ACIV145)       CHAILLOU, A


MATH 150  Precalculus Mathematics (MS)                            4 credits

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3572] 0101 MWF........8:45am- 9:50am (LH3 ...)       BARADWAJ, R
            M.........11:00am-11:50am (SS  114) DIS
[3573] 0102 MWF........8:45am- 9:50am (LH3 ...)       BARADWAJ, R
            F.........11:00am-11:50am (SS  114) DIS
[3574] 0103 MWF........8:45am- 9:50am (LH3 ...)       BARADWAJ, R
            M.........10:00am-10:50am (SS  114) DIS
[3577] 0201 MW.........6:30pm- 8:20pm (LH3 ...)       STARK, B
            M..........4:30pm- 5:20pm (SS  114) DIS
[3578] 0202 MW.........6:30pm- 8:20pm (LH3 ...)       STARK, B
            W..........4:30pm- 5:20pm (SS  114) DIS
[3579] 0203 MW.........6:30pm- 8:20pm (LH3 ...)       STARK, B
            M..........5:30pm- 6:20pm (SS  114) DIS
[3582] 0301 MWF.......12:00pm- 1:05pm (LH3 ...)       BARADWAJ, R
            M..........2:00pm- 2:50pm (SS  114) DIS
[3583] 0302 MWF.......12:00pm- 1:05pm (LH3 ...)       BARADWAJ, R
            W..........2:00pm- 2:50pm (SS  114) DIS
[3584] 0303 MWF.......12:00pm- 1:05pm (LH3 ...)       BARADWAJ, R
            F..........2:00pm- 2:50pm (SS  114) DIS


MATH 151  Calculus and Analytic Geometry I (MS)                   4 credits

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3587] 0101 MWF.......10:00am-11:05am (MP  106)       TIGHE, B
            M.........12:00pm-12:50pm (SS  114) DIS
[3588] 0102 MWF.......10:00am-11:05am (MP  106)       TIGHE, B
            W.........12:00pm-12:50pm (SS  114) DIS
[3589] 0201 MWF.......11:15am-12:20pm (MP  106)       TIGHE, B
            M..........9:00am- 9:50am (SS  114) DIS
[3590] 0202 MWF.......11:15am-12:20pm (MP  106)       TIGHE, B
            W..........9:00am- 9:50am (SS  114) DIS
[3591] 0301 TuTh.......4:30pm- 6:20pm (SS  105)       SONG, Y
            Tu.........6:30pm- 7:20pm (SS  114) DIS
[3592] 0302 TuTh.......4:30pm- 6:20pm (SS  105)       SONG, Y
            Th.........6:30pm- 7:20pm (SS  114) DIS
[3593] 0401 MWF........3:00pm- 4:05pm (SS  103)       SLOWIKOWSKI, W
            M..........4:30pm- 5:20pm (SS  113) DIS
[3594] 0402 MWF........3:00pm- 4:05pm (SS  103)       SLOWIKOWSKI, W
            W..........4:30pm- 5:20pm (SS  113) DIS
[3595] 0501 MW.........4:30pm- 6:20pm (SS  103)       SLOWIKOWSKI, W
            M..........6:30pm- 7:20pm (SS  113) DIS
[3596] 0502 MW.........4:30pm- 6:20pm (SS  103)       SLOWIKOWSKI, W
            W..........6:30pm- 7:20pm (SS  113) DIS
[3597] 0601 MWF........8:45am- 9:50am (MP  103)       SONG, Y
            M.........10:00am-10:50am (SS  113) DIS
[3598] 0602 MWF........8:45am- 9:50am (MP  103)       SONG, Y
            W.........10:00am-10:50am (SS  113) DIS
[3599] 0701 TuTh.......6:30pm- 8:20pm (SS  003)       KOROSTYSHEVSKI
            Tu.........5:30pm- 6:20pm (SS  003) DIS
[3600] 0702 TuTh.......6:30pm- 8:20pm (SS  003)       KOROSTYSHEVSKI
            Th.........5:30pm- 6:20pm (SS  003) DIS
[3601] 0801 MW.........6:30pm- 8:20pm (SS  105)       STAFF
            M..........5:30pm- 6:20pm (SS  111) DIS
[3602] 0802 MW.........6:30pm- 8:20pm (SS  105)       STAFF
            W..........5:30pm- 6:20pm (SS  111) DIS


MATH 152  Calculus and Analytic Geometry II (MS)                  4 credits

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3603] 0101 MWF........8:45am- 9:50am (MP  101)       RATHINAM, M
            M.........10:00am-10:50am (SS  112) DIS
[3604] 0102 MWF........8:45am- 9:50am (MP  101)       RATHINAM, M
            F.........10:00am-10:50am (SS  112) DIS
[3605] 0201 MWF........3:00pm- 4:05pm (MP  103)       LYNN, Y
            M..........4:30pm- 5:20pm (SS  112) DIS
[3606] 0202 MWF........3:00pm- 4:05pm (MP  103)       LYNN, Y
            W..........4:30pm- 5:20pm (SS  112) DIS
[3607] 0301 TuTh.......4:30pm- 6:20pm (SS  101)       KAPOOR, J
            Tu.........6:30pm- 7:20pm (SS  110) DIS
[3608] 0302 TuTh.......4:30pm- 6:20pm (SS  101)       KAPOOR, J
            Th.........6:30pm- 7:20pm (SS  110) DIS
[3609] 0401 TuTh.......6:30pm- 8:20pm (SS  101)       KAPOOR, J
            Tu.........5:30pm- 6:20pm (SS  110) DIS
[3610] 0402 TuTh.......6:30pm- 8:20pm (SS  101)       KAPOOR, J
            Th.........5:30pm- 6:20pm (SS  110) DIS


MATH 152H Calculus and Analytic Geometry II - Honors              4 credits
          (MS)                                              

(PermReq) Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3611] 0101 MWF........8:45am- 9:50am (MP  104)       PITTENGER, A
            W.........12:00pm-12:50pm (SS  113) DIS


MATH 152M Calculus and Analytic Geometry II (MS)                  4 credits

(PermReq) Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3612] 0101 MWF........8:45am- 9:50am (MP  104)       PITTENGER, A
            M.........12:00pm-12:50pm (SS  113) DIS
[3613] 0102 MWF........8:45am- 9:50am (MP  104)       PITTENGER, A
            F.........12:00pm-12:50pm (SS  113) DIS


MATH 155  Elementary Calculus (MS)                                3 credits

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3614] 0101 MW.........7:00pm- 8:15pm (SS  101)       WILSON, M


MATH 221  Introduction to Linear Algebra (MS)                     3 credits

          Grade Method: REG/P-F/AUD
          GER:   meets  M/S.  GDR:  meets  M.   8000
          SECTION  COURSES  ARE  HELD  OFF-CAMPUS AT
          SHADY   GROVE.   CONTACT   INSTRUCTOR  FOR
          PERMISSION.
[3615] 0101 MWF.......11:00am-11:50am (MP  104)       SONG, Y
[3616] 0201 MWF.......12:00pm-12:50pm (SS  103)       LO, J
[3617] 0301 MWF........2:00pm- 2:50pm (MP  104)       SONG, Y
[3618] 0401 TuTh.......5:30pm- 6:45pm (MP  101)       NAYAKKANKUPPAM
[3619] 0501 MW.........5:30pm- 6:45pm (MP  103)       WILSON, M
[3620] 0601 TuTh.......7:00pm- 8:15pm (ACIV151)       ADAMS, T
[3621] 0701 MW.........7:00pm- 8:15pm (MP  103)       ARLINGHAUS, F


MATH 221H Introduction to Linear Algebra - Honors                 3 credits
          (MS)                                              

(PermReq) Grade Method: REG/P-F/AUD
          GER:  meets M/S. GDR: meets M.  Permission
          of the Honors College required.
[3624] 0101 MWF.......12:00pm-12:50pm (MP  401)       POTRA, F


MATH 225  Introduction to Differential Equations                  3 credits
          (MS)                                              

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3625] 0101 MWF.......12:00pm-12:50pm (MP  103)       GULER, O
[3627] 0301 MWF........9:00am- 9:50am (ACIV151)       LYNN, Y


MATH 251  Multivariable Calculus (MS)                             4 credits

          Grade Method: REG/P-F/AUD
          GER: meets M/S. GDR: meets M.
[3628] 0101 MW.........6:30pm- 8:20pm (MP  104)       HORTA, A
[3629] 0201 MWF........8:45am- 9:50am (SS  409)       HOFFMAN, K
[3630] 0301 TuTh.......6:30pm- 8:20pm (MP  103)       BAKKE, V


MATH 301  Introduction to Mathematical Analysis I                 4 credits

          Grade Method: REG/P-F/AUD
[3631] 0101 MWF.......12:00pm- 1:05pm (MP  010)       GOWDA, M


MATH 302  Introduction to Mathematical Analysis II                3 credits

          Grade Method: REG/P-F/AUD
[3633] 0101 MWF.......12:00pm-12:50pm (MP  012)       STAFF


MATH 306  Geometry                                                3 credits

          Grade Method: REG/P-F/AUD
[3634] 0101 MW.........5:30pm- 6:45pm (MP  010)       TOLL, C


MATH 410  Introduction to Complex Analysis                        3 credits

          Grade Method: REG/P-F/AUD
[3635] 0101 MWF.......11:00am-11:50am (MP  010)       PITTENGER, A


MATH 411  Linear Algebra                                          3 credits

          Grade Method: REG/P-F/AUD
[3636] 0101 MW.........7:00pm- 8:15pm (MP  010)       DILLON, J


MATH 413  Number Theory                                           3 credits

          Grade Method: REG/P-F/AUD
[3637] 0101 TuTh.......7:00pm- 8:15pm (MP  010)       STAFF


MATH 432  History of Mathematics                                  3 credits

          Grade Method: REG/P-F/AUD
[3638] 0101 TuTh.......2:30pm- 3:45pm (FH  224)       KAPLAN, G


MATH 441  Introduction to Numerical Analysis                      3 credits

          Grade Method: REG/P-F/AUD
[3639] 0101 TuTh.......5:30pm- 6:45pm (MP  401)       GOBBERT, M


MATH 452  Introduction to Stochastic Processes                    3 credits

          Grade Method: REG/P-F/AUD
[3640] 0101 MWF........2:00pm- 2:50pm (MP  106)       RATHINAM, M


MATH 465  Introduction to Artificial Neural Networks              3 credits

          Grade   Method:  REG/P-F/AUD  This  course
          gives   a   systematic   introduction   to
          artifical neural networks, which represent
          a  rather new  and fundamentally different
          approach   to  computing  and  information
          processing.     Providing     parsimonious
          universal  approximators  for  static  and
          dynamic  mappings, synthetic methodologies
          for  building  models  and/or  soluations,
          abilities  to  learn  from  and  adapt  to
          environments,   and   massively   parallel
          computation   paradigms,   the  artificial
          neural  networks  have  formed  a powerful
          approach  to solving  nonlinear or complex
          problems  in  a  broad  spectrum  of areas
          including  signal/speech/image processing,
          system   control,   pattern   recognition,
          robotics,  financial  management,  digital
          communciation,  etc. This  course plans to
          cover    mathematical    and   statistical
          preliminaries,    single-and   multi-layer
          perceptions, recurrent neural nets, global
          minimization  for  training,  adaptive and
          robust  and  robust  neural  nets,  neural
          filtering,   identification  and  control,
          support,    support    vector    machines,
          self-organizing  maps,  etc. Prerequisite:
          MATH 221, MATH 301, MATH 251, STAT 451, or
          permission of instructor.
[3641] 0101 MWF.......10:00am-10:50am (SS  210)       LO, J


MATH 470  Introduction to Mathematical Foundations                2 credits
          of Actuarial Science                              

          Grade Method: REG/P-F/AUD
[3642] 0101 MW.........4:30pm- 5:20pm (TBA)           LYNN, Y


MATH 479  Mathematical Problem Solving Seminar                     1 credit

(PermReq) Grade Method: REG/P-F/AUD
[3643] 0101 Tu........11:30am-12:45pm (MP  401)       ARMSTRONG, T


MATH 481  Mathematical Modeling                                   3 credits

          Grade Method: REG/P-F/AUD
[3644] 0101 TuTh.......1:00pm- 2:15pm (FH  224)       SEIDMAN, T


MATH 482  Nonlinear Optimization                                  3 credits

          Grade Method: REG/P-F/AUD
[3645] 0101 MW.........3:30pm- 4:45pm (MP  102)       POTRA, F


MATH 485  Introduction to the Calculus of Variations              3 credits

          Grade Method: REG/P-F/AUD
[3646] 0101 MWF.......10:00am-10:50am (MP  102)       HOFFMAN, K


MATH 490A Special Topics in Mathematics Introduction              3 credits
          to Math Logic                                     

          Grade   Method:  REG/P-F/AUD  This  course
          begins with the development of first order
          prepositional  logic  and  predicate logic
          and   an   elementary  introduction  model
          theory   and  to  deductive  systems.  The
          completeness  theorem, compactness theorem
          and Lowenheim-Skolem theorem as treated in
          detail.  Goedel's  incompleteness  theorem
          for  models  on N is  discussed in detail.
          Goedel's  proof of consistency of both the
          Axiom   of   Choice   and   the  Continuum
          hypothesis with other axioms of set theory
          will    be   given.   Cohen's   proof   of
          independence  of the  Continuum hypothesis
          will  be  briefly  discussed. Recursivenes
          and   recursive   enumerability   will  be
          treated.  Computability  and  the  halting
          problem   for   Turing   machines  may  be
          discussed  if time  permits. Prerequisite:
          MATH   301   or   CMSC  441  or  PHIL  346
          recommended,  or permission of instructor.
          CMSC  451  may be regarded  as a companion
          course.
[3647] 0101 TuTh.......4:00pm- 5:15pm (MP  401)       ARMSTRONG, T


MATH 490B Special Topics in Mathematics Introduction              3 credits
          to Game Theory                                    

          Grade  Method: REG/P-F/AUD Game theory has
          been  developed  to  model  situations  of
          conflict  and  cooperation  among rational
          participants. Non-cooperative games theory
          deals   with  situation  of  conflict  and
          cooperative   game   theory   deals   with
          situation  of cooperation. In this course,
          we  will consider  both non-cooperative as
          well   as   cooperative  game  theory,  In
          non-cooperative game theory, we will study
          how    to   model   a   situation   as   a
          non-cooperative  game, zero-sum games, the
          minimax   theorem,  non-zero  games,  Nash
          equilibria,     refinements     of    Nash
          equilibria.  In cooperative  games theory,
          we  will study how to model a situation as
          a  cooperative game, and solution concepts
          such   as   stable  sets,  the  core,  the
          Shapey-value,  the bargaining set. We will
          consider  special  classes  of cooperative
          games  for  which these  solution concepts
          have nice characterization.  Prerequisite:
          Math  301,  MATH  381,  or  permission  of
          instructor.
[3648] 0101 MWF........3:00pm- 3:50pm (FH  223)       CURIEL, I


MATH 490C Special Topics in Mathematics Introduction              3 credits
          to Computational Informational Retrieval          

          Grade  Method: REG/P-F/AUD  This course is
          designed  as an  introduction to automatic
          texts     processing    and    information
          retrieval.  Topics include  a vector space
          model,  linear  algebra,  clustering,  and
          optimization   techniques.   Students  are
          expected  to participate in class projects
          involving  the  creation,  management  and
          processing  of large document collections.
          This  project will  require programming in
          languages such as Perl/CGI, C/C++ or Java.
          Prerequisites:  Math  221, Math  251, CMSC
          202, or permission of instructor.
[3649] 0101 TuTh.......5:30pm- 6:45pm (MP  102)       KOGAN, J


MATH 490D Special Topics in Mathematics Numerical                 3 credits
          Solutions of Partial Differential                 
          Equations                                         

          Grade  Method: REG/P-F/AUD  Many important
          physical  processes are modeled by partial
          differential  equations  which  cannot  be
          solved  analytically.  Solutions  to these
          equations   must   be  approximated  using
          numerical  techniques. In  this course, we
          will  focus  on algorithm  development and
          analysis  of  some  of  the  most  popular
          computational  techniques for  solving the
          heat,   wave,   and  potential  equations.
          Finite   difference  and  finite  elements
          methods  will  be  emphasized  with finite
          volume  and  spectral methods  included if
          time  permits. The course  will cover both
          theory   (convergence   analysis   of  the
          methods)   and   practical  implementation
          details.  All computer  assignment will be
          written   in   MATLAB.   This   course  is
          appropriate      for      senior     level
          undergraduates   and   beginning  graduate
          students  in mathematics, engineering, and
          scientific  disciplines where the solution
          of  differential equations  is integral to
          modeling       real-world       phenomena.
          Prerequisite: MATH 251, MATH 341, MATH 404
          and  knowledge  of programming  in general
          and MATLAB in particular, or permission of
          instructor.
[3650] 0101 TuTh......10:00am-11:15am (MP  008)       MINKOFF, S


MATH 497  Senior Thesis                                           3 credits

          Grade Method: REG/P-F/AUD
[7552] 0101 Time and room to be arranged              ROSTAMIAN, R


MATH 499  Independent Study in Mathematics                      1-4 credits

(PermReq) Grade   Method:   REG/P-F/AUD   Individual
          Instruction  course: contact department or
          instructor   to   obtain  section  number.
          NOTE:GDR   requires  2  credits  or  more.
          NOTE:GDR requires 2 credits or more.


MATH 602  Complex Analysis                                        3 credits

          Grade Method: REG/AUD
[3679] 0101 MW.........3:30pm- 4:45pm (MP  401)       GULER, O


MATH 611  Applied Analysis                                        3 credits

          Grade Method: REG/AUD
[3680] 0101 MW.........2:00pm- 3:15pm (MP  102)       GOWDA, M


MATH 612  Ordinary Differential Equations                         3 credits

          Grade Method: REG/AUD
[3681] 0101 MW.........7:00pm- 8:15pm (MP  102)       ROSTAMIAN, R


MATH 620  Numerical Analysis I                                    3 credits

          Grade Method: REG/AUD
[3682] 0101 TuTh.......5:30pm- 6:45pm (MP  401)       GOBBERT, M


MATH 650  Foundations of Optimization                             3 credits

          Grade Method: REG/AUD
[3683] 0101 TuTh.......4:00pm- 5:15pm (MP  103)       NAYAKKANKUPPAM


MATH 653  Network and Combinational Optimization                  3 credits

          Grade Method: REG/AUD
[3684] 0101 MWF.......10:00am-10:50am (MP  102)       HOFFMAN, K


MATH 690  Mathematics Seminars                                    No credit

          Grade Method: P-F
[3685] 0101 W.........11:00am-11:50am (SS  414)       ROSTAMIAN, R


MATH 690D Mathematics Seminars                                    No credit

          Grade   Method:   P-F   Seminar  topic  is
          Differential Equations.
[3686] 0101 M.........11:00am-11:50am (MP  401)       GOBBERT, M


MATH 699  Independent Study In Mathematics                      1-6 credits

(PermReq) Grade     Method:    REG/AUD    Individual
          Instruction  course: contact department or
          instructor to obtain section number.


MATH 710A Special Topics in Applied Mathematics                   3 credits
          Intoduction to Artificial Neural Networks         

          Grade   Method:  REG/P-F/AUD  This  course
          gives   a   systematic   introduction   to
          artificial    neural    networks,    which
          represent  a rather  new and fundamentally
          different   approach   to   computing  and
          information      processing.     Providing
          parsimonious  universal  approximators for
          static  and  dynamic  mappings,  synthetic
          methodologies  for building  models and/or
          solutions,  abilities  to  learn  from and
          adapt   to   environments,  and  massively
          parallel    computation   paradigms,   the
          artificial  neural  netwoks have  formed a
          powerful  approach to solving nonlinear or
          complex  problems  in a  broad spectrum of
          areas     including    signal/speech/image
          processing,    system   control,   pattern
          recognition,  robotics, financial, digital
          communication,  etc. This  course plans to
          cover    mathematical    and   statistical
          preliminaries,          single-multi-layer
          perceptions, recurrent neural nets, global
          minimization  for  training,  adaptive and
          robust   neural   nets,  neural  filtering
          identification and control, support vector
          machines,   self-organizing   maps,   etc.
          Prerequisite:  MATH  221,  MATH  301. STAT
          301,  MATH 251, STAT 451, or permission of
          instructor.
[3715] 0101 MWF.......10:00am-10:50am (SS  210)       LO, J


MATH 710B Special Topics in Applied Mathematics                   3 credits
          Introduction to Computational Information         
          Retrieval                                         

          Grade  Method: REG/P-F/AUD  This course is
          designed  as an  introduction to automatic
          text processing and information retrieval.
          Topics   include  a  vector  scale  model,
          linear     algebra,     clustering,    and
          optimization   techniques.   Students  are
          expected  to participate in class projects
          involving  the  creation,  management  and
          processing  of  large amounts  of document
          collection.   This  project  will  require
          programming in languages such as Perl/CGI,
          C/C  ++  or Java.  Prerequisite: Math 221,
          Math  251,  CMSC  202,  or  permission  of
          instructor.
[3716] 0101 TuTh.......5:30pm- 6:45pm (MP  102)       KOGAN, J


MATH 717  Projects in Industrial Mathematics                      3 credits

          Grade Method: REG
[3717] 0101 TuTh.......4:00pm- 5:15pm (MP  012)       SEIDMAN, T


MATH 7700 Master's Special Study                                   1 credit

(PermReq) Grade  Method: P-F  Individual Instruction
          course:  contact department  or instructor
          to obtain section number.


MATH 799  Master's Thesis Research                              1-6 credits

(PermReq) Grade  Method: P-F  Individual Instruction
          course:  contact department  or instructor
          to obtain section number.


MATH 8800 Doctoral Special Study                                   1 credit

(PermReq) Grade  Method: P-F  Individual Instruction
          course:  contact department  or instructor
          to obtain section number.


MATH 899  Doctoral Dissertation Research                        1-6 credits

(PermReq) Grade  Method: P-F  Individual Instruction
          course:  contact department  or instructor
          to obtain section number.


MATH 999  Leave of Absence                                        No credit

(PermReq) Grade  Method: NGI This  class is intended
          for graduate students who wish to continue
          in their degree programs, but who will not
          study in the Spring 2002 semester. Contact
          your   departmental   advisor  or  program
          director  for  permission  to  temporarily
          interrupt your studies.
[3830] 0101 Time and room to be arranged              ROSTAMIAN, R


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