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Mathematics

Summer 2004




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 havenít 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. For more information contact olenshe1@math.umbc.edu.
          Grade Method: REG/P-F/AUD
[0184] 7060 Meets 07/12/2004 - 08/20/2004             SHEVCHENKO, O
            MTuTh......9:00am-11:20am (MP  101)


MATH 115  Finite Mathematics (MS)                                 3 credits
An introduction to linear algebra, matrices, set theory, combinatorial analysis and probability theory. Appropriate for students desiring a 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 mathematics placement test. For more information contact raji@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0185] 6060 Meets 06/01/2004 - 07/09/2004             BARADWAJ, R
            MWTh.......1:00pm- 3:20pm (MP  008)


MATH 150  Precalculus Mathematics (MS)                            4 credits
Provides the mathematical preparation necessary for success in calculus. It also provides preparation for basic physics, computer science and engineering science courses. Topics 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 the geometry of complex numbers. Note: Not open to students who have passed MATH 140 or MATH 151. The selected lecture time is required. 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: High school algebra II and geometry. For more information contact sclark2@umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0186] 6080 Meets 06/01/2004 - 07/23/2004             CLARK, S
            TuThF......1:15pm- 3:20pm (MP  106)
            TuF.......12:15pm- 1:05pm (MP  106) DIS


MATH 151  Calculus and Analytic Geometry I (MS)                   4 credits
Topics include limits, continuity, the rate of change, derivatives, differentiations formulas for algebraic and trigonometric-functions, maxima and minima, integration and computation of areas. Also covers 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 MATH 155. 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 150 or a qualifying score on the mathematics placement test. For more information contact (6080): korostys@umbc.edu; (6081): kapoor@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0187] 6080 Meets 06/01/2004 - 07/23/2004             KOROSTYSHEVSKI
            MWF........9:00am-11:05am (MP  106)
            MW........11:30am-12:20pm (MP  106) DIS
[0188] 6081 Meets 06/01/2004 - 07/23/2004             KAPOOR, J
            MWF........1:00pm- 3:05pm (MP  104)
            MW........12:00pm-12:50pm (MP  104) DIS
[0189] 6082 Meets 06/01/2004 - 07/23/2004             SLOWIKOWSKI, W
            MWTh.......6:00pm- 8:05pm (MP  106)
            MTh........5:00pm- 5:50pm (MP  106) 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): liu2@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0190] 6080 Meets 06/01/2004 - 07/23/2004             TIGHE, B
            TuThF......9:00am-11:05am (MP  104)
            TuF.......11:30am-12:20pm (MP  104) DIS
[0191] 6081 Meets 06/01/2004 - 07/23/2004             LIU, X
            MWTh.......6:00pm- 8:05pm (MP  104)
            MTh........5:00pm- 5:50pm (MP  104) 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. 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 MATH 155. Prerequisite: High school algebra II or a qualifying score on the mathematics placement test.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0192] 6060 Meets 06/01/2004 - 07/09/2004             ALLEN, K
            MTuTh......9:00am-11:20am (MP  103)


MATH 221  Introduction to Linear Algebra (MS)                     3 credits
Linear equations, Gauss-Jordan reduction, matrices and determinants and their properties, vector spaces and subspaces, basis and dimension, linear transformations, kernal and range, eigenvalues and eigenvectors, matrix diagonalization. Prerequisite: MATH 151 or MATH 155 or MATH 380. For more information contact (6060): lynn@math.umbc.edu; (7060): song@math.umbc.edu; (7061): gavrea1@umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0193] 6060 Meets 06/01/2004 - 07/09/2004             LYNN, Y
            MTuTh......9:00am-11:20am (MP  101)
[0194] 7060 Meets 07/12/2004 - 08/20/2004             SONG, Y
            MTuTh......9:00am-11:20am (MP  103)
[0195] 7061 Meets 07/12/2004 - 08/20/2004             GAVREA, B
            MTuTh......6:00pm- 8:20pm (MP  103)


MATH 225  Introduction to Differential Equations                  3 credits
          (MS)                                              
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 Lengendre equations and the equation u"-xu=0. Difference equations and numerical methods. Note: Recommended for science majors who need a basic knowledge of differential equations. Prerequisite: MATH 142 or MATH 152; MATH 251 is recommended. For more information contact swebst1@umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0196] 6060 Meets 06/01/2004 - 07/09/2004             WEBSTER, S
            MTuTh......6:00pm- 8:20pm (MP  103)


MATH 251  Multivariable Calculus (MS)                             4 credits
Topics include: vectors, lines, planes and surfaces in three dimensions. Vector functions and their derivatives. Partial derivatives, gradients, directional derivatives, maxima, minima, Lagrange multipliers. Multiple integrals, area, volume, surface area, integration in different coordinate systems. Line integral, Green's theorem, Stoke's theorem, and divergence theorem. Prerequisite: MATH 142 or MATH 152. For more information contact zorayr1@math.umbc.edu.
          Grade Method: REG/P-F/AUD
          GFR:Meets   Mathematics   GER:Meets   M/S.
          GDR:Meets M.
[0197] 6080 Meets 06/01/2004 - 07/23/2004             MANUKYAN, Z
            MWF........1:00pm- 3:05pm (MP  103)


MATH 306  Geometry                                                3 credits
Topics selected from foundations of geometry, modern Euclidean geometry, non-Euclidean geometry, projective geometry and its subgeometries. Pre or corequisite: MATH 301. For more information contact sznajder@math.umbc.edu.
          Grade Method: REG/P-F/AUD
[0199] 7060 Meets 07/12/2004 - 08/20/2004             SZNAJDER, R
            MTuTh......9:00am-11:20am (MP  401)


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. For more information contact ahorta@comcast.net.
          Grade Method: REG/P-F/AUD
[0200] 7060 Meets 07/12/2004 - 08/20/2004             HORTA, A
            MTuTh......6:00pm- 8:20pm (MP  008)


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 104 or permission of instructor. Note: This course requires a UMBC computer account. For more information contact asoane@math.umbc.edu.
          Grade Method: REG/P-F/AUD
[0201] 6040 Meets 06/01/2004 - 06/25/2004             SOANE, A
            TuTh.......9:00am-12:10pm (ENG 104)


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