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Mathematics

Summer 2005




MATH 106  Algebra and Elementary Functions                        3 credits
An introduction to the basic techniques and functions of mathematics. This course is especially recommended for those students who need to brush up due to a shaky high school preparation or for those who haven't had a mathematics course in several years. Topics include linear equations and inequalities, quadratic equations, polynomials, and rational functions and their inverses, including the exponential and the logarithm. Note: Not open to students who have passed MATH 150 or above. Not transferable to other Maryland public institutions for college-level credit. Prerequisite: Qualifying score on LRC Algebra placement exam. For more information contact sriley4@umbc.edu.
          Grade Method: REG/P-F/AUD
[0272] 6060 Meets 05/31/2005 - 07/08/2005             RILEY, S
            MWTh.......9:00am-11:20am (ACIV013)


MATH 115  Finite Mathematics (MS)                                 3 credits
An introduction to linear algebra, matrices, set theory, combinatorial analysis and probability theory. Appropriate for students desiring knowledge of elementary linear algebra and probability theory. Note: Not open to students who have passed MATH 221, STAT 350, STAT 351, STAT 355 or STAT 451. Prerequisite: A qualifying score on the LRC Algebra placement test. For more information contact ioana1@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0273] 6060 Meets 05/31/2005 - 07/08/2005             CIPCIGAN, I
            MWTh.......9:00am-11:20am (MP  101)


MATH 150  Precalculus Mathematics (MS)                            4 credits
This course provides the mathematical preparation necessary for success in calculus. It also provides preparation for basic physics, computer science and engineering science courses. Topics covered include review of functions and graphing techniques, logarithmic and exponential functions; review of basic right-angle trigonometry followed by an extensive treatment of trigonometric functions, identities and applications to the analytic geometry of the conic sections, applications to two-dimensional vectors and to the geometry of complex numbers. Prerequisites: A suitable score on LRC Algebra placement exam or MATH 106. For more information contact dwang2@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0274] 6080 Meets 05/31/2005 - 07/22/2005             WANG, D
            TuThF......9:00am-11:05am (MP  103)
            TuF.......11:30am-12:20pm (MP  103) DIS


MATH 151  Calculus and Analytic Geometry I (MS)                   4 credits
Topics of this course include: limits, continuity, the rate of change, derivatives, differentiations formulas for algebraic and trigonometric functions, maxima and minima, integration and computation of areas. Areas and volumes of solids of revolution, applications. Note: Non-science-oriented students interested in calculus should consider MATH 155. Credit will not be given for both MATH 151 and 155. Prerequisite: MATH 150 or a qualifying score on the LRC Calculus Readiness placement test. For more information for (6080) contact olenshe1@math.umbc.edu; (6082) mcwil@comcast.net.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0276] 6080 Meets 05/31/2005 - 07/22/2005             SHEVCHENKO, O
            MWF........9:00am-11:05am (MP  104)
            MW........11:30am-12:20pm (MP  104) DIS
[0277] 6081 Meets 05/31/2005 - 07/22/2005             KAPOOR, J
            MTuTh......1:00pm- 3:05pm (MP  101)
            MTh........3:30pm- 4:20pm (MP  101) DIS
[0278] 6082 Meets 05/31/2005 - 07/22/2005             WILSON, M
            MWTh.......6:00pm- 8:05pm (MP  101)
            MTh........5:00pm- 5:50pm (MP  101) DIS


MATH 152  Calculus and Analytic Geometry II (MS)                  4 credits
Topics include: logarithmic and exponential functions, inverse functions, methods of integration, improper integrals, hyperbolic functions, sequences and infinite series, power series, Taylor series, applications, conic sections and polar coordinates. Note: There is also a separate discussion time, which is recommended but not required. A teaching assistant will lead the discussion to assist students in understanding the material. Prerequisite: MATH 141, MATH 151 or MATH 155B. For more information contact (6080): tighe@math.umbc.edu.; (6081): kallen1@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0279] 6080 Meets 05/31/2005 - 07/22/2005             TIGHE, B
            MTuTh......9:00am-11:05am (MP  106)
            MTh.......11:30am-12:20pm (MP  106) DIS
[0280] 6081 Meets 05/31/2005 - 07/22/2005             ALLEN, K
            MWTh.......6:00pm- 8:05pm (MP  103)
            MTh........5:00pm- 5:50pm (MP  103) DIS


MATH 155  Elementary Calculus (MS)                                3 credits
Basic ideas of differential and integral calculus, with emphasis on elementary techniques of differentiation and integration with applications are treated in this course. Not recommended for students majoring in mathematics, computer science, engineering, biological or physical sciences. Note: Credit will not be given for both MATH 151 and 155. Prerequisite: A suitable score on the LRC Algebra placement test or MATH 106. For more information contact wfs-iii@comcast.net.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0281] 6060 Meets 05/31/2005 - 07/08/2005             SLOWIKOWSKI, W
            MTuTh......9:00am-11:20am (MP  012)


MATH 221  Introduction to Linear Algebra (MS)                     3 credits
Topics of this course include: linear equations, Gauss-Jordan reduction, matrices and determinants and their properties, vector spaces and subspaces, basis and dimension, linear transformations, kernel and range, eigenvalues and eigenvectors, and matrix diagonalization. Prerequisites: MATH 141, MATH 151, MATH 155 or MATH 380. For more information contact (6060): asoane@math.umbc.edu; (7060): song@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0282] 6060 Meets 05/31/2005 - 07/08/2005             SOANE, A
            MTuTh......6:00pm- 8:20pm (MP  010)
[0283] 7060 Meets 07/11/2005 - 08/19/2005             SONG, Y
            MTuTh......9:00am-11:20am (ACIV013)
[0284] 7061 Meets 07/11/2005 - 08/19/2005             MUSCEDERE, M
            MTuTh......6:00pm- 8:20pm (MP  010)


MATH 225  Introduction to Differential Equations                  3 credits
          (MS)                                              
Topics of this course include: solutions of first- and second- order linear differential equations, nonlinear exact and separable equations, integrating factors, homogeneous equations, higher-order linear equations. initial and boundary value problems, solutions as functions of the equation parameters, Laplace Transforms, power series solutions for Bessel and Legendre equations, difference equations and numerical methods. Note: Recommended for science majors who need a basic knowledge of differential equations. Prerequisite: MATH 142 or MATH 152. Recommended: MATH 251. For more information contact lynn@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0285] 6060 Meets 05/31/2005 - 07/08/2005             LYNN, Y
            MTuTh......6:00pm- 8:20pm (MP  012)


MATH 251  Multivariable Calculus (MS)                             4 credits
Topics of this course include: vectors, lines, planes and surfaces in three dimensions. Vector functions and their derivatives. Partial derivatives, gradients, directional derivatives, maxima, minima and Lagrange multipliers. Multiple integrals, area, volume, surface area, integration in different coordinate systems. Line integral, Green's theorem, Stokes' theorem and divergence theorem. Prerequisite: MATH 142 or MATH 152.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0286] 6080 Meets 05/31/2005 - 07/22/2005             MANUKYAN, Z
            MWTh.......1:00pm- 3:05pm (MP  103)
            MTh........3:30pm- 4:20pm (MP  103) DIS


MATH 381  Linear Methods in Operations Research                   3 credits
Introduction to convex sets. Theory of linear programming. Applications to transportation and assignment problems. Introduction to graphs with applications to network problems, including shortest route and maximum flow problems. Introduction to game theory. Note: Credit will not be given for both MATH 380 and MATH 381. Prerequisite: MATH 221.
          Grade Method: REG/P-F/AUD
[0289] 7060 Meets 07/11/2005 - 08/19/2005             HORTA, A
            MTuTh......6:00pm- 8:20pm (MP  012)


MATH 426  Introduction to Math Software Packages:                 2 credits
          MATLAB                                            
The student will become familiar with the usage of Matlab, an advanced numerical linear algebra package that is widely used in teaching and research. Matlab is an interactive tool for high- performance numerical computations, visualization and programming. Matlab performs complex matrix algebra, computes matrix factorizations (such as LU, QR and SVD) and eigenvalues, solves linear systems of equations, provides extensive 2D and 3D visualization tools, and possesses programming tools used in scripts and functions. Prerequisites: MATH 152, 221 and CMSC 201, or permission of instructor. For more information see www.math.umbc.edu/~gobbert.
          Grade Method: REG/P-F/AUD
[0290] 6040 Meets 05/31/2005 - 06/24/2005             GOBBERT, M
            TuTh.......6:00pm- 9:10pm (ENG 122)


MATH 496  Mathematics/Statistics Practicum                      1-4 credits

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


MATH 497  Senior Thesis                                           3 credits

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


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.


MATH 699  Independent Study In Mathematics                      1-6 credits

(PermReq) Grade  Method: REG  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 899  Doctoral Dissertation Research                        1-6 credits

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


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