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2019-2020 Undergraduate Catalog [ARCHIVED CATALOG]
Course Descriptions
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Mathematics |
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MATH 099 - Introductory Algebra (0)
Designed for the student with little or no knowledge of algebra. Topics include properties of integers and real numbers, linear equations and inequalities, operations on monomials and simple polynomials, factoring seconddegree polynomials, rational expressions, properties of exponents and square roots, and graphing inequalities. Three institutional credits (not applicable to the degree) are given.
Course ID: 55190
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have scored a 1 on the LRC MATH placement test to enroll in MATH 99.
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MATH 104 - Quantitative Literacy (3.00)
Math 104 focuses on algebraic and numeric skills in a context of applications and problem-solving to prepare students for Introduction to Statistics (STAT 121 ) or Contemporary Mathematics (MATH 120 ) . Topics include quantitative relationships, algebraic reasoning, functional reasoning, probabilistic and statistical reasoning, Quantitative communication skills are incorporated.
Course ID: 102412
Consent: No Special Consent Required
Components: Lecture
Course Equivalents: MATH 104Y
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MATH 104Y - Quantitative Literacy (4.00)
Math 104 focuses on algebraic and numeric skills in a context of applications and problem-solving to prepare students for Introduction to Statistics (STAT 121 ) or Contemporary Mathematics (MATH 120 ). Topics include quantitative relationships, algebraic reasoning, functional reasoning, probabilistic and statistical reasoning, Quantitative communication skills are incorporated.
Course ID: 102458
Consent: No Special Consent Required
Components: Lecture
Course Equivalents: MATH 104
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MATH 106 - Algebra and Elementary Functions (3.00)
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 This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. The Course Materials Initiative (CMI) was established to provide students with more affordable course materials, enhance the students’ experience on a common digital platform via Blackboard, and position UMBC to be ahead of the curve with digital content. More information is available at UMBC Bookstore’s website.
Course ID: 55194
Consent: No Special Consent Required
Components: Lecture, Seminar
Course Equivalents: MATH 106Y
Prerequisite/Corequisite: You must score a 2 or 3 on the LRC placement exam or have completed LRC 99 with a grade of ‘C’ or better to enroll in this course.
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MATH 106Y - Algebra and Elementary Functions (4.00)
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 This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. The Course Materials Initiative (CMI) was established to provide students with more affordable course materials, enhance the students’ experience on a common digital platform via Blackboard, and position UMBC to be ahead of the curve with digital content. More information is available at UMBC Bookstore’s website.
Course ID: 55195
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: MATH 106
Prerequisite/Corequisite: You must score a 2 or 3 on the LRC placement exam or have completed LRC 99 with a grade of ‘C’ or better to enroll in this course.
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MATH 115 - Finite Mathematics (3.00)
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 any of MATH 221 , STAT 350 , STAT 351 , STAT 355 , STAT 356 or STAT 451 .
Course ID: 55196
Consent: No Special Consent Required
Components: Lecture
Attributes: Mathematics (GEP), Mathematics (GFR)
Prerequisite/Corequisite: You must have completed MATH 106 or MATH 106Y with a grade of “C” or better or scored a 3, 4 or 5 on the LRC MATH placement exam to enroll in this course.
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MATH 120 - Introduction to Contemporary Mathematics (3.00)
Students will be introduced to many topics from contemporary mathematics. These are especially of interest to students in the social and information sciences. Topics include networks and graphs, the traveling salesman problem, scheduling linear programming, social choice, voting systems game theory, fair division, patterns, tilings form, similarity and symmetry.
Course ID: 055191
Consent: No Special Consent Required.
Components: Lecture
Attributes: Mathematics (GEP), Mathematics (GFR)
Prerequisite/Corequisite: You must have scored a 3, 4 or 5 on the LRC MATH placement exam or passed MATH 106 or MATH 104 with a grade of ‘C’ or better to enroll in this course.
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MATH 131 - Mathematics for Elementary School Teachers I (4.00)
Intended primarily for prospective elementary school teachers. Structural aspects of mathematics and the ‘why’ of arithmetical computations. Topics include sets, functions, logic, numbers and number systems, numeration systems, properties of mathematical operations, techniques for computation, decimals, elementary number theory, metric and non-metric geometry, elements of probability and statistics. Note Enrollment is intended primarily for students pursuing certification in elementary or secondary education:
Course ID: 55198
Consent: No Special Consent Required
Components: Lecture
Attributes: Mathematics (GEP), Mathematics (GFR)
Prerequisite/Corequisite: You must have completed MATH 106 or MATH 106Y with a grade of “C” or better or scored a 3 on the LRC MATH placement exam to enroll in this course.
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MATH 132 - Mathematics for Elementary School Teachers II (4.00)
Continuation of MATH 131 .
Course ID: 55199
Consent: No Special Consent Required
Components: Lecture
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: You must have completed MATH 106 or MATH 106Y with a grade of “C” or better or scored a 3 on the LRC MATH placement exam to enroll in this course.
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MATH 140 - Differential Calculus (3.00)
This course covers the fundamentals of the differential calculus with review of notions of analytic geometry and trigonometry as needed. Content includes limits; rate of change and velocity; derivatives and rules of differentiation; differentiation of polynomial, algebraic and trigonometric functions; curve sketching and optimization problems; and differentiation of inverse functions, anti-derivatives and indefinite integrals. Note Math 140 does not cover all the material of MATH 151 . It is equivalent to the first quarter of calculus at institutions on the quarter system.
Course ID: 55200
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 150 with a grade of “C” or better or scored a 5 on the LRC MATH placement exam to enroll in this course.
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MATH 141 - Integral Calculus (3.00)
Topics of this course include: computation of areas, definition of the definite integral, integrals of algebraic and trigonometric functions, applications of integrals, the calculus of exponential and logarithmic functions, basic and advanced techniques of integration, numerical integration and improper integrals. Note The combination of MATH 140 and Math 141 includes all of the material of MATH 151 and can serve as a prerequisite to MATH 152 . Math 141 is equivalent to the second quarter of calculus at an institution on the quarter system.
Course ID: 55201
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 140 or MATH 155B with a grade of “C” or better before you can take this class.
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MATH 142 - Calculus Applications and Infinite Series (3.00)
Topics of this course include: first introduction to differential equations; further applications of the differential and integral calculus; infinite sequences and series; Taylor and Maclaurin series for functions, including the trigonometric, logarithmic and exponential functions. Note Completion of this course is equivalent to completion of MATH 152 . This is equivalent to the third quarter of calculus at institutions on the quarter system.
Course ID: 55202
Consent: No Special Consent Required
Components: Lecture
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: You must have completed MATH 141 with a grade of “C” or better before you can enroll in this class.
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MATH 150 - Precalculus Mathematics (4.00)
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. Note
This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. The Course Materials Initiative (CMI) was established to provide students with more affordable course materials, enhance the students’ experience on a common digital platform via Blackboard, and position UMBC to be ahead of the curve with digital content. More information is available at UMBC Bookstore’s website.
Course ID: 55203
Consent: No Special Consent Required
Components: Discussion, Lecture
Attributes: Mathematics (GEP), Mathematics (GFR)
Prerequisite/Corequisite: Requirement Group: You must have completed MATH 106 or MATH 106Y with a grade of “C” or better or scored a 4 or 5 on the LRC MATH placement exam to enroll in this course.
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MATH 151 - Calculus and Analytic Geometry I (4.00)
Topics of this course include limits, continuity, the rate of change, derivatives, differentiation formulas for algebraic, trigonometric, logarithmic, and exponential functions, maxima and minima, integration and computation of areas, the Fundamental Theorem of Calculus, areas and volumes of solids of revolution, and applications. Note: Non-science oriented students should consider MATH 155 . Credit will not be given for both MATH 151 and MATH 155 . Note Non-science oriented students should consider MATH 155 . Credit will not be given for both Math 151 and MATH 155 . This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. The Course Materials Initiative (CMI) was established to provide students with more affordable course materials, enhance the students’ experience on a common digital platform via Blackboard, and position UMBC to be ahead of the curve with digital content. More information is available at UMBC Bookstore’s website.
Course ID: 55205
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: MATH 151H
Attributes: Mathematics (GEP), Mathematics (GFR)
Prerequisite/Corequisite: You must have completed MATH 150 with a grade of “C” or better or scored a 5 on the LRC MATH placement exam to enroll in this course.
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MATH 151H - Calculus and Analytic Geometry I - Honors (4.00)
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 should consider MATH 155 . Credit will not be given for both MATH 151 and MATH 155 .
Course ID: 55206
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: MATH 151
Attributes: Mathematics (GEP), Mathematics (GFR)
Prerequisite/Corequisite: You must be admitted to the HONORS COLLEGE and have completed MATH 150 with a C or better or scored a 5 on the LRC MATH Placement exam to enroll in this course.
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MATH 152 - Calculus and Analytic Geometry II (4.00)
Topics of this course include inverse functions, methods of integration, improper integrals, hyperbolic functions, sequences and infinite series, power series, Taylor series, conic sections, polar coordinates, and applications.
Course ID: 55208
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: MATH 152H
Attributes: Mathematics (GFR), In Spring 2018 Mathematics (GEP)
Prerequisite/Corequisite: You must complete MATH 151 or MATH 151H or MATH 141 or MATH 155B with a grade of C or better before taking this class.
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MATH 152H - Calculus and Analytic Geometry II - Honors (4.00)
Topics of this course 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.
Course ID: 55209
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: MATH 152
Attributes: Mathematics (GFR). In Spring 2018 Mathematics (GEP)
Prerequisite/Corequisite: You must be admitted to the Honors College, and must complete MATH 151 or MATH 151H or MATH 141 or MATH 155B with a grade of C or better.
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MATH 155 - Applied Calculus (4.00)
Basic ideas of differential and integral calculus, with emphasis on elementary techniques of differentiation and integration with applications, are treated in this course. Technology will be utilized to enhance understanding of the concepts and their applications. Not recommended for students majoring in mathematics, computer science, engineering, or physical sciences. Note Credit will not be given for both MATH 151 and MATH 155. This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. The Course Materials Initiative (CMI) was established to provide students with more affordable course materials, enhance the students’ experience on a common digital platform via Blackboard, and position UMBC to be ahead of the curve with digital content. More information is available at UMBC Bookstore’s website.
Course ID: 55211
Consent: No Special Consent Required
Components: Discussion, Lecture
Attributes: Mathematics (GEP), Mathematics (GFR)
Prerequisite/Corequisite: You must have completed MATH 106 or MATH 106Y with a grade of “C” or better or scored a 4 or 5 on the LRC MATH placement exam to enroll in this course.
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MATH 155B - Calculus of Trigonometric Functions (1.00)
The main topics of this course are the differentiation and integration of trigonometric functions, together with a treatment in greater depth of topics in MATH 155 .
Course ID: 55212
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 155 with a grade of “C” or better before you can take this class.
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MATH 215 - Applied Finite Mathematics (3.00)
The basic linear algebra of matrices used for solutions of large scale systems of linear equations is treated. Applications of matrices such as Leontieff models of multi-sector economics and the basics of the simplex method for solving linear economic optimization problems are discussed. Fundamental concepts of probability including basic combinatorial methods for probabilistic computations are studied. An introduction is given to decision theory. This treatment is in the context of Bayesian or statistical decision theory, though game theoretic versions may be discussed. Possible optional topics may include elementary Markov chains or the matrix algebra of spreadsheet operations.
Course ID: 55215
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 141 or MATH 151 or MATH 155 or MATH 380 with a grade of ‘C’ or better or scored a 5 on the MATH placement exam before you can enroll in this course.
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MATH 221 - Introduction to Linear Algebra (3.00)
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.
Course ID: 55216
Consent: No Special Consent Required
Components: Lecture
Course Equivalents: MATH 221H
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: You must complete MATH 141 or MATH 151 or MATH 380 with a grade of C or better.
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MATH 221H - Introduction to Linear Algebra - Honors (3.00)
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.
Course ID: 55217
Consent: No Special Consent Required
Components: Lecture
Course Equivalents: Course Equivalents: MATH 221
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: Requirement Group: You must be admitted to the Honors College and have completed MATH 141 , or MATH 151 or MATH 151H or MATH 380 with a grade of C or better.
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MATH 225 - Introduction to Differential Equations (3.00)
Topics of this course include: solutions of first- and second order linear differential equations, non-linear 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. Recommended Preparation Recommended Preparation: MATH 251 .
Course ID: 55218
Consent: No Special Consent Required
Components: Lecture
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: Requirement Group: You must have completed MATH 142 or MATH 152 with a grade of “C” or better.
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MATH 233 - Fundamentals of Geometry (3.00)
In this course, the student will learn and apply the principles of geometry as well as recognize and understand their relevance to the real world. Topics include fundamental concepts and patterns; geometric reasoning and proof; parallel and perpendicular lines as they relate to Euclidean, hyperbolic and elliptical geometry; triangle relationships and triangle congruence; exploring quadrilaterals; transformations and similarity; investigating right triangles, polygons, surface area and volume, and circles. Throughout the course, special emphasis is given to problem-solving techniques.
Course ID: 100002
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 132 or MATH 150 with a grade of ‘C’ or better or have scored a 4 or 5 on the MATH placement exam.
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MATH 251 - Multivariable Calculus (4.00)
Topics of this course include parametric and polar functions, 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, and the Green’s, Stokes, and divergence theorems.
Course ID: 55219
Consent: No Special Consent Required
Components: Lecture
Course Equivalents: MATH 251H
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: You must have completed MATH 142 or MATH 152 with a grade of “C” or better.
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MATH 251H - Multivariable Calculus (4.00)
Topics of this course include parametric and polar functions, 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, and the Green’s, Stokes, and divergence theorems.
Course ID: 100128
Consent: No Special Consent Required
Components: Lecture
Course Equivalents: MATH 251
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: You must be admitted to the Honors College and completed MATH 142 or MATH 152 with a grade of C or better.
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MATH 290 - Special Topics in Mathematics (1.00 - 4.00)
A Special Topics course covers material that is not available in a regular course, but is suitable for coverage at this level. Notes attached to the course in a particular semester will describe the actual contents. This course can be repeated once for credit, if the topic of the course is different.
Course ID: 55222
Consent: No Special Consent Required
Components: Lecture
Topics: Special Topics In Math, Top:Probabilty & Science, Topics: Calculus, Meyerhoff-Advance Calc, Spec Topics In Math, Insights Into Mathematic, Probability And Science, Topics In Math-Meyerhoff, Advanced Calculus, Topics: Calculus, Sp Topics In Math, Topics In Math:Meyerhoff, Creative Methods Of Math, Meyerhoff Scholarship, Calculus, Topics In Calculus
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MATH 299 - Independent Study in Mathematics (1.00 - 4.00)
Course ID: 55223
Consent: No Special Consent Required
Components: Independent Study
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MATH 301 - Introduction to Mathematical Analysis I (4.00)
This course is a systematic study of basic analysis with an emphasis on formal proofs, examples and counter examples. Topics include properties of the real line, sequences, series, limits, continuity and differentiation of functions, and Riemann Integration. Note Highly recommended is CMSC 203 .
Course ID: 55224
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 142 or MATH 152 in addition to MATH 221 with a grade of “C” or better before you can take this course.
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MATH 302 - Introduction to Mathematical Analysis II (3.00)
Topics of this course include: continuity, differentiation of functions of several variables, uniform convergence of sequences of functions, multiple integration, contraction mapping principle, and implicit and inverse function theorems. Note Credit will not be given for both Math 302 and MATH 401 .
Course ID: 55225
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 251 and MATH 301 with a grade of “C” or better.
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MATH 306 - Geometry (3.00)
This course is a systematic study of the core concepts and principles of two- and three-dimensional Euclidean and two-dimensional non-Euclidean geometries with a heavy emphasis on mathematical reasoning and proof (including both propositional and predicate logic). Topics may include transformations (including dilations, translations, rotations, reflections, glide reflections; compositions of transformations; and the expression of symmetry in terms of transformations), congruence, similarity and scaling (and their development and expression in terms of transformations), right triangles, trigonometry, periodic phenomena.
Course ID: 55227
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 301 with a grade of C or better.
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MATH 341 - Computational Methods (3.00)
Basic computational methods for interpolation, systems of linear equations, least squares approximation, numerical quadrature, numerical solution of polynomial and transcendental equations. Emphasis on the methods and their computational properties, rather than on their analytic aspects.
Course ID: 55228
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 142 or MATH 152 in addition to having completed MATH 221 and CMSC 201 with a grade of C or better.
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MATH 355 - Biomathematics (3.00)
Topics in this course include: Introductions to discrete-time dynamical and continuous time differential equations with an emphasis on nonlinear interactions applied to biological systems; Basic stability analysis, graphical analysis, solution techniques; Introduction to probability to address randomness in biological processes including probability distributions; Basics of descriptive statistics in relation to the probabilistic models.
Course ID: 101992
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH152 and MATH 221 with a C or better.
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MATH 365 - Financial Mathematics for Actuaries (3.00)
This course is an introduction to the mathematics of interest and the evaluation of interest related products including annuities with non-contingent payments, loans, bonds, general cash flows, portfolios, and immunization. Additional topics discussed include sources of interest rates, stochastic interest rates, and financial instruments such as shorts, swaps, and options. This material includes most of the learning objectives for the Financial Mathematics Exam (called Exam FM by the Society of Actuaries and Exam 2 by the Casualty Actuarial Society.) Also students not necessarily interested in taking the actuarial exam are encouraged to take this course as an upper level elective.
Course ID: 102303
Consent: No Special Consent Required
Components: Lecture
Same as Offered: STAT 365
Prerequisite/Corequisite: You must complete MATH 152 with a C or better.
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MATH 380 - Introduction to Operations Research (3.00)
Linear programming, including the simplex method. Transportation, assignment and transhipment problems. Network problems. Not recommended for mathematics/statistics or computer science majors. Note Credit will not be given for both Math 380 and MATH 381 .
Course ID: 55231
Consent: No Special Consent Required
Components: Lecture
Attributes: Mathematics (GFR)
Prerequisite/Corequisite: Rou must have completed MATH 115 or MATH 150 with a grade of “C” or better.
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MATH 381 - Linear Methods in Operations Research (3.00)
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.
Course ID: 55232
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 221 with a grade of C or better.
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MATH 385 - Intro to Mathematical Modeling (3.00)
This is a project-oriented course offering the opportunity to discover how various real world problems canbe described and analyzed with the aid of simple mathematical models and computer simulations.Possible project topics include operation of a fuse, spread of pollutants in a river, propagation of an infectious disease, traffic flow on a highway, oscillating chemical reactions, population growth in biology,etc.
Course ID: 55234
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 225 or MATH 355 with a grade of “C” or better to take this class.
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MATH 390 - Special Topics in Mathematics (1.00 - 4.00)
A Special Topics course covers material that is not available in a regular course, but is suitable for coverage at this level. Notes attached to the course in a particular semester will describe the actual contents. This variable course can be repeated once for credit, if the topic of the course is different. Recommended Preparation MATH 221 or MATH 225 or MATH 251 Note For a maximum of 8 credits.
Course ID: 55236
Consent: No Special Consent Required
Components: Lecture
Topics: Intro. to Financial Math for Actuarial Students
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MATH 401 - Mathematical Analysis (3.00)
Topics of this course include: elementary metric space topology, sequences, series, continuity, differentiation, Riemann integral, sequences and series of functions, and implicit and inverse function theorems. Note Credit will not be given for both MATH 302 and Math 401.
Course ID: 55237
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 301 with a grade of C or better.
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MATH 404 - Introduction to Partial Differential Equations I (3.00)
This is a project-oriented course offering the opportunity to discover how various real world problems canbe described and analyzed with the aid of simple mathematical models and computer simulations.Possible project topics include operation of a fuse, spread of pollutants in a river, propagation of aninfectious disease, traffic flow on a highway, oscillating chemical reactions, population growth in biology,etc.
Course ID: 55239
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 225 and MATH 251 with a grade of “C” or better before you can take this class.
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MATH 407 - Intro to Modern Algebra & Number Theory (3.00)
The basic abstract algebraic structures (rings, integral domains, division rings, fields and Boolean algebra) will be introduced, and the fundamental concepts of number theory will be examined from an algebraic perspective. This will be done by examining the construction of the natural numbers from the Peano postulates, the construction of the integers from the natural numbers, the rationals as the field of quotients of the integers, the reals as the ordered field completion of the rationals and the complex numbers as the algebraic completion of the reals. The basic concepts of number theory lead to modular arithmetic; ideals in rings; and to examples of integral domains, division rings and fields as quotient rings. The concept of primes yields the algebraic concepts of unique factorization domains, Euclidean rings, and prime and maximal ideals of rings. Examples of symmetries in number theory and geometry lead to the concept of groups whose fundamental properties and applications will be explored.
Course ID: 55241
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 301 with a grade of C or better.
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MATH 408 - Introduction to Abstract Algebra (3.00)
Topics of this course include a deeper examination of the structure of groups, including Sylow theorems and the fundamental theorem of abelian groups; a further study of rings, including modules and linear algebra over rings; polynomial and matrix rings; field theory, including Galois theory; and applications such as nonsolubility of quintic polynomials by radicals and geometric nonconstructilibity.
Course ID: 55242
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 407 with a grade of “C” or better before you can take this course.
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MATH 409 - Introduction to Mathematical Logic (3.00)
Propositional and first-order logic are developed. The basic framework of formal languages, logical structures and their models is given. Formal deductive systems for logical proofs is set in an algorithmic framework. The completeness and compactness theorems for consistent axiom systems are proven, including the Lowenheim-Skolem theorems. The last half of the course focuses on the work of Goedel. Using Goedel’s numbering of number theoretic formulae and proofs, his theorem asserting the incompleteness (inability to prove all true statements) of any consistent axiomatization of the natural numbers that is recursively given are proven. Related results of Tarski and Rosser, his second incompleteness theorem; the impossibility of Peano arithmetic, if consistent, to prove its own consistency are also proven. Time permitting, the course will introduce Goedel’s proof of the consistency of Cantor’s continuum hypothesis and axiom of choice with the usual axioms of set theory.
Course ID: 55243
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 301 or CMSC 441 or PHIL 346 with a grade of ‘C’ or better before you can take this course.
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MATH 410 - Introduction to Complex Analysis (3.00)
Complex number plane and functions of a complex variable, differentiability and analyticity. Cauchy-Riemann equations, integration in the complex plane, Cauchy’s theorem, power series, analytic continuation, Laurent series, improper integrals, gamma function, calculus of residues, evaluation of real integrals, argument principle, meromorphic functions and entire functions. Note MATH 301 is recommended.
Course ID: 55244
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 251 with a grade of “C” or better before you can take this course.
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MATH 411 - Linear Algebra (3.00)
Topics of this course include finite-dimensional vector spaces, subspaces, basis, dimension, linear transformations, matrices, linear functionals, dual space, dual-basis theorem, direct sum, quotient space, determinants, eigenvalues, minimal polynomial, characteristic polynomial, Cayley-Hamilton theorem, companion matrices, invariant subspaces, similarity, diagonalization, rational and Jordan canonical forms, nilpotent operators, inner product spaces, Gram-Schmidt orthogonalization, orthogonal matrices and spectral theorem.
Course ID: 55245
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 301 with a grade of C or better.
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MATH 413 - Number Theory (3.00)
Following a review of elementary number theory through Fermat’s little theorem, the course treats: unique factorization, element orders, Euler’s function and Carmichael’s lambda functions, primitive elements, quadratic reciprocity, the prime-number theorem and elementary analytic number theory, and quadratic number fields. Optional topics may include: computational number theory, finite fields, cyclotomic fields and Fermat’s last theorem.
Course ID: 55247
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 407 with a grade of “C” or better before you can take this course.
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MATH 421 - Introduction to Topology (3.00)
Topics of this course include metric spaces, topological spaces, derived topological spaces, separation axioms, closure and continuity, covering properties and compactness, connectedness, metrizability, complete metric spaces, and introduction to homotopy theory.
Course ID: 55248
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 302 or MATH 401 with a grade of C or better.
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MATH 423 - Differential Geometry (3.00)
The differential geometry of curves and surfaces, curvature and torsion, moving frames, the fundamental differential forms, and intrinsic geometry of a surface. Recommended Preparation MATH 301 .
Course ID: 55249
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 221 and MATH 251 with a grade of C or better.
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MATH 426 - Introduction to Math Software Packages: MATLAB (2.00)
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 2-D and 3-D visualization tools, and possesses programming tools used in scripts and functions.
Course ID: 55251
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 221 and CMSC 104 or CMSC 201 with a C or better.
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MATH 427 - Mathematical Software Packages: Maple (1.00)
The student will become familiar with the usage of Maple, an advanced computer algebra package that is widely used in teaching and research. Maple performs symbolic computations such as integration, differentiation, factoring and simplifying algebraic expressions, solving linear and non-linear systems, solving differential equations exactly or in power series, complex algebra, matrix algebra, plotting in 2-D and 3-D, and animated plots.
Course ID: 55252
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 152 or MATH 221 and CMSC 201 with a C or better.
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MATH 430 - Matrix Analysis (3.00)
Topics in this course will include a review of basic matrix operations, determinants, rank, matrix inverse and solving linear equations. The course then will study partitioned matrices, eigenvalues and eigenvectors, spectral decomposition, singular-value decomposition, orthogonal projections, idempotent matrices, quadratic forms, extrema of quadratic forms, non-negative definite and positive definite matrices, and matrix derivatives.
Course ID: 55253
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 251 and MATH 301 with a grade of “C” or better.
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MATH 432 - History of Mathematics (3.00)
An examination of the conceptual development of mathematics and the roles played by the people central to its development. Key periods of focus will be the Greco-Roman classical era, the development of mathematics from the Renaissance through the birth of the calculus, the rise of mathematical rigor and abstraction in the 18th and 19th centuries (e.g., number and quantity, algebra, geometry, discrete mathematics, statistics and probability, and calculus), and the continuing evolution of mathematics and its impact on modern society in the 20th century. Ancilliary topics such as ethno-mathematics and humanistic-mathematics may be addressed. Note This course does not qualify as an upper division mathematics/statistics elective for majors or minors, but it does qualify as a supplementary elective.
Course ID: 55254
Consent: No Special Consent Required
Components: Lecture
Attributes: Writing Intensive (GEP)
Prerequisite/Corequisite: You must have completed MATH 301 and ENGL 100 with a grade of C or better.
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MATH 441 - Introduction to Numerical Analysis (3.00)
Topics of this course include: numerical linear algebra, interpolation, numerical differentiation and integration, solution of nonlinear equations, acceleration of convergence and numerical treatment of differential equations.
Course ID: 55255
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must complete CMSC 201 and MATH 225 and MATH 251 and MATH 301 with a grade of C or better before you can enroll in this class.
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MATH 447 - Introduction to Parallel Computing (3.00)
This course introduces students to scientific computing on modern parallel computers. Examples of numerical algorithms will be taken from several areas of mathematics, including numerical analysis and numerical linear algebra. Students will discuss the implications of the parallel architecture on the design of numerical algorithms. Parallel computing equipment will be made available to students enrolled in the course. The course includes a significant portion of instruction dedicated to learning the parallel programming language on that machine. The class also includes a review of serial programming that is integrated into the presentation of sample codes.
Course ID: 100326
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed CMSC 201 or equivalent with a grade of C or better.
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MATH 452 - Introduction to Stochastic Processes (3.00)
This is a non-measure theoretic course. Topics include general Markov chains (branching process, queuing processes, birth and death processes, and Poisson processes), second-order processes (Gaussian processes and Wiener processes) and an introduction to stochastic differential equations.
Course ID: 55256
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed STAT 355 or STAT 451 with a grade of “C” or better before you can take this course.
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MATH 456 - Mathematical Methods for Science and Engineering (3.00)
Vector analysis and tensors, Sturm-Liouville problems and Fourier series, complex analysis, integral transforms and variational calculus.
Course ID: 55257
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must complete MATH 221 and MATH 225 and MATH 251 with a grade of C or higher.
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MATH 465 - Introduction to Artificial Neural Networks (3.00)
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 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 communication, etc. This course will cover multi-layer perceptrons, recurrent neural nets, global minimization for training, adaptive and robust neural nets, neural filtering, identification # and control, support vector machines, self-organizing maps, etc.
Course ID: 55260
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 221 and MATH 251 and MATH 301 and STAT 451 all with a grade of ‘C’ or better before you can enroll in this course.
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MATH 469 - Mathematical Physiology (3.00)
Mathematical Physiology develops qualitative and quantitative mathematical models of and answers to questions in physiology. The objective of this course is to expose students from any of a number of scientific disciplines, who have a background in ordinary differential equations, basic biology, and some computation (i.e., familiarity with software such as Matlab), to the exciting synergy of mathematics and physiology. The course will use ordinary differential equations to study non-dimensionalization, asymptotic and perturbation theory, and bifurcation theory. We will perform stochastic simulation and derive certain partial differential equations. These techniques will be applied to physiological topics from biochemical reactions and ion channel kinetics to systems involving cardiac, pancreatic, or neuronal function and malfunction. Recommended Preparation BIOL 141 or equivalent.
Course ID: 101913
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 225 with a grade of “C” or better to take this class.
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MATH 475 - Combinatorics and Graph Theory (3.00)
General enumeration methods, difference equations, generating functions. Elements of graph theory, including transport networks, matching theory and graph algorithms. Introduction to finite geometries and block designs.
Course ID: 55265
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 301 with a grade of C or better.
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MATH 476 - Introduction to Game Theory (3.00)
Purely non-cooperative or zero-sum games between two players are introduced. In simple cases, solutions of such games use techniques of saddle points or other geometric means. VonNeumann’s Min-Max theorem assures optimal mixed strategies. In general, linear programming techniques must be employed. Study of convex sets in Euclidean spaces, in particular of polyhedra, and polytopes is necessary for full understanding of the general case. In non-zero sum situations with two or more players, the fundamental results of John Nash assuring equilibria in mixed strategies and on arbitration or bargaining schemes are studied. For cooperative games with many players, several solution concepts are studied, including Shapley values and core allocations. Diverse application are considered. Purely noncooperative or zero-sum games between two players are introduced. Solutions of such entail techniques of finding saddle points or geometric means in simple cases.
Course ID: 55266
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 221 and MATH 251 with a grade of C or better.
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MATH 479 - Mathematical Problem Solving Seminar (1.00)
Mathematical problem-solving techniques, mathematical communication skills. Problem sessions with problems ranging from pre-calculus to analysis, algebra, geometry, combinatorics and probability. Problems ranging from quickies to mini research problems. Students will develop and reinforce skills from previous mathematics courses and will be introduced to topics from more advanced courses. This course is repeatable for a maximum of 8 credits.
Course ID: 55267
Consent: No Special Consent Required
Components: Lecture
Topics: Math Problem Solving Sem
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MATH 480 - Senior Seminar (1.00)
This course is repeatable for credit.
Course ID: 55268
Consent: No Special Consent Required
Components: Lecture
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MATH 481 - Mathematical Modeling (3.00)
Derivation and analysis of mathematical models of phenomena from physics, engineering and other exact sciences. Topics include stability of equilibria of dynamical systems with emphasis on the qualitative aspects of solutions, phase plane analysis and linearization of non-linear systems. Additional topics from catastrophe theory, bifurcation, optimization and chaos will be covered as time permits. Examples will be drawn from population dynamics, flywheel governor, a model for heartbeat, bang-bang controls, self-sustained oscillations and morphogenesis.
Course ID: 55269
Consent: No Special Consent Required
Components: Lecture
Attributes: Writing Intensive (GEP)
Prerequisite/Corequisite: You must complete MATH 221 and MATH 225 and MATH 251 and ENGL 100 with a grade of C or higher.
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MATH 482 - Nonlinear Optimization (3.00)
Introduction to convex analysis. One-dimensional minimization. Unconstrained optimization in algorithms, global convergence and rates of convergence. Quasi-Newton techniques. Convex programming: optimality conditions and duality. Penalty and Barrier methods.
Course ID: 55270
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 251 and MATH 301 with a grade of ‘C’ or better before you can enroll in this course. MATH 301 can be taken concurrently.
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MATH 483 - Linear and Combinatorial Optimization (3.00)
Integer programming. The traveling salesman problem. Advanced linear programming techniques. Complexity. Projective methods in linear programming.The Karmarkar method.
Course ID: 55271
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 381 with a grade of “C” or better before you can take this course.
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MATH 484 - Stochastic Methods in Operations Research (3.00)
Topics of this course include: introduction to Markov chains, Poisson processes, introduction to queuing theory, Stochastic programming, introduction to deterministic and Stochastic dynamic programming.
Course ID: 55272
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed STAT 355 or STAT 451 with a grade of “C” or better before you can take this course.
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MATH 485 - Introduction to the Calculus of Variations (3.00)
This course will provide a modern introduction to basic results of the classical calculus of variations. Special emphasis will be given to the theory of second-order conditions. Considerable attention will be devoted to physical applications of variational methods.
Course ID: 55273
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 221 and MATH 225 and MATH 251 and MATH 301 all with a grade of C or better before you can enroll in this class.
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MATH 486 - Discrete Dynamical Systems (3.00)
The course will address ideas from discrete dynamical systems, including fixed points, periodic points, bifurcations, and an explanation of period 3 implied chaos. Fractals such as Sierpinski’s gasket, Julia sets and Mandelbrot sets also will be introduced. This course is repeatable for a maximum of 6 credits.
Course ID: 55274
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed MATH 225 and MATH 251 and MATH 301 all with a grade of `C’ or better before you can enroll in this class.
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MATH 487 - Continuous Dynamical Systems (3.00)
This course aims to develop an understanding of the theory behind the rich qualitative behavior of dynamical systems modeled by ordinary differential equations. Topics covered includes existence and uniqueness of solutions, linear systems, characterization of behavior near equilibria, stability and Lyapunov functions, Hartman- Grobman theorem, Poincaré-Bendixson theorem, Hamiltonian systems, bifurcations and chaos.
Course ID: 101920
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must complete MATH 225 and MATH 251 and MATH 301 with a grade of C or better.
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MATH 490 - Special Topics in Mathematics (1.00 - 4.00)
A Special Topics course covers material that is not available in a regular course, but is suitable for coverage at this level. Notes attached to the course in a particular semester will describe the actual contents. This variable credit course can be repeated once for credit, if the topic of the course is different. Recommended Preparation MATH 221 or MATH 225 or MATH 251 Note For a maximum of 8 credits.
Course ID: 55275
Consent: No Special Consent Required
Components: Lecture
Topics: Modeling And Simulation, Designs And Codes, Intro To Math Logic, Mathematical Biology, Special Topics In Math, Top:Putnam Competition, Top:Intro To Game Theory, Intro To Game Theory, Dynamical Sys& Dif Equat, Topic: Fluid Mechanics, Math Comp Packgs:Matlab, Queueing Theory, Intro Art Neural Network, Artif/Neural Networks, Intro To Dynamical Struc, Game Theory, Top: Intro Coding Theory, Topic:Complx Analysis II, Industrial Mathematics, Designs & Codes, Asymptotic Analy, Dynmcl Founds Of Nuerosc, Mathematics & Biology, Top:Matrix With Applctns, Sp Topics In Mathematics, Compu Abstract Algebra, Num Sol Partial Diff Eq, Top:Math For Engr,Scntst, Top: Appl/Numer Analysis, Top:Greenhouse Effect, Top:Complex Analysis II, Probability Thry Act Sci, Spec Topics: Geometry, Topics In Linear Algebra, App Math & Num Analysis, Dynamic Systems, Comp Informational Ret, Numerical Solutions, Asymptotic Analysis, Rathinam Dynamical Syst & Differential Equations, Mathematical Physiology
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MATH 495 - Topics in the Mathematics of Operations Research (3.00)
Introduction to recent and advanced techniques of optimization and operations research. The course will be redefined from time to time and will reflect the instructor’s interests.
Course ID: 55276
Consent: No Special Consent Required
Components: Lecture
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MATH 496 - Mathematics Practicum (1.00 - 4.00)
Under faculty direction, students will write a report dealing with mathematical concepts or techniques utilized or implemented in internships or cooperative education or in the workplace. Variable credit course repeatable for a maximum of 4 credits.
Course ID: 55277
Consent: No Special Consent Required
Components: Lecture
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MATH 497 - Senior Thesis (3.00)
The student will be required to prepare an exposition of either a significant area of mathematics or of the results of a student research project. Typically, the former will be in connection with an upper-division course the student has completed or independent study (MATH 499 ).
Course ID: 55278
Consent: No Special Consent Required
Components: Thesis Research
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MATH 499 - Independent Study in Mathematics (1.00 - 4.00)
Under this heading, a student may agree to a course with a particular faculty member on a topic not covered in the regular curriculum. The arrangements with the faculty member must be made before the student registers for the course. This course is repeatable for credit.
Course ID: 55279
Consent: No Special Consent Required
Components: Independent Study
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ENME 110 - Statics (3.00)
The equilibrium of stationary bodies under the influence of various kinds of forces. Forces, moments, couples, equilibrium, trusses, frames and machines, centroids, moments of inertia, beams, friction and hydrostatics. Vector and scalar methods are used to solve problems.
Course ID: 54187
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: ENME 110H
Prerequisite/Corequisite: You must have completed PHYS 121 with a grade of “C’ or better or be concurrently enrolled in PHYS 121 and you must have completed MATH 151 with a “C” or better.
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ENME 110H - Statics (3.00)
The equilibrium of stationary bodies under the influence of various kinds of forces. Forces, moments, couples, equilibrium, trusses, frames and machines, centroids, moments of inertia, beams, friction and hydrostatics. Vector and scalar methods are used to solve problems.
Course ID: 100502
Consent: No Special Consent Required
Components: Discussion, Laboratory
Course Equivalents: ENME 110
Prerequisite/Corequisite: You must complete PHYS 121 or be concurrently enrolled in PHYS 121 and MATH 151 with a ‘C’ or better.
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ENME 204 - Introduction to Engineering Design with CAD (3.00)
Sophomores are introduced to engineering design using the science and tools (CAD) of prior courses. The course will cover design specifications, design analysis, performance predictions, design, changes, final design and operation specifications. Students will be required to make written and oral presentations and produce a design report.
Course ID: 54189
Consent: No Special Consent Required
Components: Laboratory, Lecture
Attributes: Course Fee = $50.00, Writing Intensive (GEP)
Prerequisite/Corequisite: You must complete ENES 101 and ENME 220 and ENGL 100 or equivalent all with a grade of ‘C’ or better.
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ENME 217 - Engineering Thermodynamics (3.00)
Properties, characteristics and fundamental equations of state of materials, work and heat transfer. First and second laws of thermodynamics, thermodynamic power and refrigeration cycles, gas/vapor mixtures and psychrometrics. This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. Note This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. The Course Materials Initiative (CMI) was established to provide students with more affordable course materials, enhance the students’ experience on a common digital platform via Blackboard, and position UMBC to be ahead of the curve with digital content. More information is available at UMBC Bookstore’s website.
Course ID: 54190
Consent: No Special Consent Required
Components: Discussion, Lecture
Prerequisite/Corequisite: You must have completed both ENME 110 and MATH 152 with a ‘B’ or better and PHYS 121 all with a grade of ‘C’ or better.
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ENME 220 - Mechanics of Materials (3.00)
Mechanics of Materials is a fundamental course on the mechanical behavior of deformable bodies under axial loads, torsion, flexure, and combined loads. The concepts of stress, strain, and material properties are introduced and used to relate external forces with the resulting internal forces and deformation of a body. Practical applications involving the design of mechanical and structural elements under various load conditions are emphasized.
Course ID: 54192
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: ENME 220H
Prerequisite/Corequisite: You must have completed ENME 110 and MATH 152 with a grade of ‘B’ or better and PHYS 121 all with a grade of “C” or better.
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ENME 220H - Honors Mechanics Of Materials (3.00)
Mechanics of Materials is a fundamental course on the mechanical behavior of deformable bodies under axial loads, torsion, flexure, and combined loads. The concepts of stress, strain, and material properties are introduced and used to relate external forces with the resulting internal forces and deformation of a body. Practical applications involving the design of mechanical and structural elements under various load conditions are emphasized.
Course ID: 100119
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: ENME 220
Prerequisite/Corequisite: You must complete ENME 110 and MATH 152 with a ‘B’ or better and PHYS 121 with a grade of ‘C’or better.
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ENME 221 - Dynamics (3.00)
Study of objects in motion. Objects are approximated first as particles and then as rigid bodies. In both cases, the kinematic relationships are derived first. Kinetics is studied from three perspectives: force-acceleration, work energy and impulse-momentum.
Course ID: 54193
Consent: No Special Consent Required
Components: Discussion, Lecture
Prerequisite/Corequisite: You must have completed ENME 110 and MATH 152 and PHYS 121 all with a grade of “C” or better.
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ENME 301 - The Structure and Properties of Engineering Materials (3.00)
The nature and properties of engineering materials as related to their use in all phases of mechanical engineering will be studied. Materials covered include metals, ceramics and glasses, polymer and composites.
Course ID: 54195
Consent: No Special Consent Required
Components: Lecture
Course Equivalents: ENME 301H
Prerequisite/Corequisite: You must have completed ENME 220 and PHYS 122 and CHEM 102 and CHEM 102L all with a grade of “C” or better.
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ENME 301H - Honors Structure and Properties of Engineering Materials (3.00)
The nature and properties of engineering materials as related to their use in all phases of mechanical engineering will be studied. Materials covered include metals, ceramics and glasses, polymer and composites.
Course ID: 100120
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: ENME 301
Prerequisite/Corequisite: You must complete ENME 220 and PHYS 122 and CHEM 102 and CHEM 102L all with a grade of ‘C’ or better.
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ENME 303 - Computational Methods for Engineers (3.00)
This course is intended as an introduction to programming using MATHLAB, elements of linear algebra, computational methods, and their application to solving engineering and specific problems through computational programming.olution of ordinary differential equations with application in engineering.
Course ID: 54197
Consent: No Special Consent Required
Components: Laboratory, Lecture
Prerequisite/Corequisite: You must have completed MATH 225 and MATH 251 and ENME 220 and ENME 221 all with a grade of ‘C’ or better.
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ENME 304 - Machine Design (3.00)
In-depth design course that is a follow-up to ENME 204 . The focus here is on designing machine components. Emphasis is on kinematics, working stresses, repeated loadings, fatigue and heating effects. The course requires completion of a design project and the use of such computational tools as CAD and engineering codes. Note This course may be subject to a Course Materials Charge. The charge may vary by semester, depending on the course materials required. The Course Materials Initiative (CMI) was established to provide students with more affordable course materials, enhance the students’ experience on a common digital platform via Blackboard, and position UMBC to be ahead of the curve with digital content. More information is available at UMBC Bookstore’s website.
Course ID: 54198
Consent: No Special Consent Required
Components: Lecture
Attributes: Course Fee = $50.00
Prerequisite/Corequisite: You must have completed ENME 204 with a grade of “C” or better.
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ENME 320 - Fluid Mechanics (3.00)
Fluid flow concepts and basic equations, effects of viscosity and compressibility, dimensional analysis and laws of similarity, flow through pipes and over-immersed bodies, and principles of flow measurement.
Course ID: 54202
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed ENME 217 and ENME 220 and ENME 221 and MATH 225 and MATH 251 all with a grade of “C” or better.
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ENME 321 - Transfer Processes (3.00)
Conduction by steady state and transient heat flow; laminar and turbulent flow; free and forced convection; radiation, evaporation and condensation of vapors; and transfer of mass, heat and momentum.
Course ID: 54203
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed ENME 320 with a grade of “C” or better.
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ENME 332H - Solid Mechanics and Materials Laboratory - Honors (3.00)
Course ID: 54205
Consent: No Special Consent Required
Components: Laboratory, Lecture
Course Equivalents: ENME 332L
Prerequisite/Corequisite: You must completed ENME 220 and ENME 301 with a grade of ‘C’ or better before you can take this course.
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ENME 332L - Solid Mechanics and Materials Laboratory (3.00)
A laboratory course in testing mechanical properties of materials. Emphasis will be on experimental techniques in solid mechanics, strain gages, strain gage rosettes, photoelasticity, acoustic emissions, metallurgical and electron microscopy.
Course ID: 54206
Consent: No Special Consent Required
Components: Laboratory, Lecture
Course Equivalents: ENME 332H
Attributes: Course Fee = $50.00, Writing Intensive(GEP)
Prerequisite/Corequisite: You must have completed ENME 220 and ENME 301 with a grade of “C” or better before you can take this course.
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ENME 360 - Vibrations (3.00)
Dynamic characteristics of machinery with emphasis on systems with single and multiple degrees of freedom.
Course ID: 54209
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed ENME 220 and ENME 221 and ENME 303 and MATH 225 all with a grade of “C” or better.
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ENME 403 - Automatic Controls (3.00)
Hydraulic, electrical, mechanical and pneumatic automatic control systems; open and closed loops; steady-state and transient operations; stability criteria; linear and non-linear systems; and Laplace transforms.
Course ID: 54214
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed ENME 360 and either CMPE 306 or ENEE 302 with a grade of “C”or better before you can take this course.
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ENME 405 - Energy Conversion Design (3.00)
Application of thermodynamics, fluid mechanics and processes; design of engines, compressors, and heat exchangers; and energy and fuel-handling equipment.
Course ID: 54216
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed ENME 321 with a grade of “C” or better.
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ENME 408 - Selected Topics in Engineering Design (3.00)
Three lecture periods per week. Creativity and innovation in design, generalized performance analysis, reliability and optimization as applied to the design of components and engineering systems, use of computers in design, and design of multivariable systems. Note May be repeated for a maximum of nine credits with permission of advisor and allowed multiple enrollment in term.
Course ID: 54217
Consent: No Special Consent Required
Components: Lecture
Topics: Biomaterials, Space Tech & Design, Biomechanics, Elements of Aerospace, Macromech of Composites, Baja SAE Project, Satellite Design, Spacecraft Systems Engineering
Prerequisite/Corequisite: You must have Senior standing in Mechanical Engineering and have a 2.0 or better GPA.
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ENME 409 - Mechanics of Deformable Solids (3.00)
Introduction to the mechanics of engineering materials in three dimensions, concepts of stress and strain, generalized Hooke’s law and equilibrium of solids. Modes of failure, including plasticity, stability, fatigue and fracture, will be treated. This course is repeatable for credit.
Course ID: 54218
Consent: No Special Consent Required
Components: Lecture
Topics: Elasticity Theory & App, Adv Mech. Of Materials, Deformable Solids, Mech Of Deformable Sol, Mechanics Of Materials
Prerequisite/Corequisite: You must have completed ENME 220 with a grade of “C” or better before you can take this course.
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ENME 410 - Operations Research I (3.00)
Applications of linear programming queuing model, theory of games and competitive models to engineering problems. Recommended Preparation Senior standing in Mechanical Engineering.
Course ID: 54219
Consent: No Special Consent Required
Components: Lecture
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ENME 412 - Mechanical Design for Manufacturing and Production (3.00)
Physical properties of materials and review of fundamental principles of product design. Various classes of engineering materials are characterized. Types of manufacturing processes that can be applied to the production of the design are discussed.
Course ID: 54221
Consent: No Special Consent Required
Components: Laboratory, Lecture
Prerequisite/Corequisite: You must complete ENME 301 and ENME 304 with a C or better.
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ENME 416 - Intermediate Thermodynamics (3.00)
Application of the first and second laws of thermo-dynamics in the analysis of basic heat engines, air compression and vapor cycles, and heat sources in fossil fuels and nuclear fuels.
Course ID: 54224
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed ENME 217 with a grade of “C” or better.
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ENME 421 - Advanced Conduction and Radiation Heat Transfer (3.00)
Introduction to analytical and numerical methods to solve heat transfer problems involving heat conduction and radiation processes.
Course ID: 100285
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must complete ENME 321 with a grade of C or better
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ENME 422 - Heat Transfer in Biological Systems (3.00)
This is a cross-listed course offered to upper level undergraduate students as a science elective, and regular graduate students. The course focuses on how heat transfer mechanisms and principles are applied to biological systems. It includes how to model heat transfer in tissue with blood perfusion, major experimental approaches for measuring thermal and physiological properties of tissue, as well as detailed description of various aspects of bioheat transfer analyses in hyperthermia treatment to kill tumor.
Course ID: 54225
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: Requirement Group: You must complete ENME 321 with a grade of C or better
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ENME 423 - Heating, Ventilation and Air Conditioning Design (3.00)
Topics will include heating and cooling load calculations; psychrometrics applied to HVAC design, thermodynamics of refrigeration, space air diffusion, piping and duct flow analysis, introduction to solar energy and indoor air quality.
Course ID: 54226
Consent: No Special Consent Required
Components: Lecture
Prerequisite/Corequisite: You must have completed ENME 304 and ENME 321 andENME 332L and ENME 360 , with a grade of ‘C’ or better.
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