Approved Courses
The following list includes undergraduate courses that have been approved as of June 2010. Courses added after that date do not appear in this list. Courses eliminated after that date may still appear. Not every course is offered regularly. Students should consult the Schedule of Classes at www.testudo.umd.edu to ascertain which courses are actually offered during a given semester.
COURSE NUMBERING SYSTEM
Number 

Eligibility 
000099 

Noncredit course 
100199 

Primarily freshman course 
200299 

Primarily sophomore course 
300399 

Junior, senior course not acceptable for credit toward graduate degrees 
386387 

Campuswide internship courses; refer to information describing Experiential Learning 
400499 

Junior, senior course acceptable for credit toward some graduate degree 
500599 

Professional School course (Dentistry, Architecture, Law, Medicine) or postbaccalaureate course 
600899 

Course restricted to graduate students 
799 

Master Thesis credit 
899 

Doctoral Dissertation credit 
Use the search box below to view the approved courses.
Courses in "MATHMathematics"
MATH  Mathematics
MATH 003 Developmental Mathematics (3)
A review of Intermediate High School Algebra intended for
students preparing for one of the credit bearing Fundamental Studies
Math Courses. It is taught in special computer labs using a selfpaced
computer program. The curriculum will be geared toward the student's
level of algebra skills and eventual goals. There is a special fee for
the course that may be applied in addition to the regular tuition
charge. Students should refer to the schedule of classes for details on
fees as they apply to a particular semester. The course does not carry
any credit toward any degree at the University. The course is
repeatable. Topics will be chosen from exponents, polynomials, linear
equations, quadratic equations as well as polynomial, rational,
exponential and logarithm functions and elementary probability or
statistics, depending on the student.
MATH 010 Algebra for MATH 110 (3)
A review of Intermediate High School Algebra intended for students
preparing for MATH110. It is taught 5 days per week for the first 5
weeks, then leads directly into a special section of MATH110, the same
semester, which also meets 5 days per week. Continuation in MATH110 is
conditional on the student passing the MATHEMATICS PLACEMENT EXAM at the
appropriate level. Topics include linear equations, linear inequalities,
operations on polynomials, factoring, solutions of quadratic equations,
as well as exponential and logarithm functions. MATH010 does not carry
any credit toward any degree at the University, nor is it graded. It
leads to either MATH110 or MATH003, both of which are graded.
MATH 011 Algebra for MATH 111 (3)
A review of Intermediate High School Algebra intended for students
preparing for MATH111. It is taught 5 days per week for the first 5
weeks, then leads directly into a special section of MATH111, the same
semester, which also meets 5 days per week. Continuation in MATH 111 is
conditional on the student passing the MATHEMATICS PLACEMENT EXAM at the
appropriate level. Topics include exponents, polynomials, linear
equations, quadratic equations, as well as polynomial, rational,
exponential and logarithm functions, Venn diagrams, permutations and
combinations. MATH011 does not carry any credit toward any degree at the
University, nor is it graded. It leads directly to MATH111 (or MATH113
or MATH110), or MATH003, all of which are graded.
MATH 013 Algebra for MATH 113 (3)
A review of Intermediate High School Algebra intended for students
preparing for MATH113. It is taught 5 days per week for the first 5
weeks, then leads directly into a special section of MATH113, the same
semester, which also meets 5 days per week. Continuation in MATH113 is
conditional on the student passing the MATHEMATICS PLACEMENT EXAM at the
appropriate level. Topics include exponents, polynomials, linear
equations, quadratic equations, as well as polynomial, rational,
exponential and logarithm functions. MATH013 does not carry any credit
toward any degree at the University, nor is it graded. It leads directly
to MATH113 (or MATH110), or MATH003, all of which are graded.
MATH 015 Algebra for MATH 115 (3)
A review of Intermediate High School Algebra intended for students
preparing for MATH115. It is taught 5 days per week for the first 5
weeks, then leads directly into a special section of MATH115, the same
semester, which also meets 5 days per week. Continuation in MATH115 is
conditional on the student passing the MATHEMATICS PLACEMENT EXAM at the
appropriate level. Topics include exponents, polynomials, linear
equations in one and two variables, quadratic equations, as well as
polynomial, rational, exponential and logarithm functions. MATH015 does
not carry any credit toward any degree at the University, nor is it
graded. It leads directly to MATH115 (or MATH111 or MATH113 or MATH110),
or MATH003, all of which are graded.
MATH 110 Elementary Mathematical Models (3)
Prerequisite: Must have math eligibility of MATH110 or higher; or
permission of CMNSMathematics department. Restriction: Not open to
students majoring in mathematics, engineering, business, life sciences,
and the physical sciences; and must not have completed MATH220 or
MATH140; and must not have completed any MATH or STAT course with a
prerequisite of MATH140 or MATH220. Credit only granted for: MATH110,
MATH112, or MATH113.
Topics include simple and compound interest; recursion for computing
balances; installment loans and amortization; approximating data by
linear models; analysis of applications to realworld collections of
data; probability; conditional probability; independence; expected
value; graphing and analysis of systems of inequalities; linear
programming and applications.
MATH 111 Introduction to Probability (3)
Prerequisite: Must have math eligibility of MATH111 or higher; or
MATH110. Restriction: Not open to students majoring in mathematics,
engineering or the physical sciences; and must not have completed
STAT100; and must not have completed any MATH or STAT course with a
prerequisite of MATH141. Credit only granted for: MATH111 or STAT100.
Logic, Boolean algebra, counting, probability, random variables,
expectation, applications of the normal probability distribution.
MATH 112 College Algebra with Applications and Trigonometry (3)
Prerequisite: Must have math eligibility of MATH112 or higher.
Restriction: Must not have completed MATH220 or MATH140; and must not
have completed any course with a prerequisite of MATH140 or MATH220.
Credit only granted for: Students who have credits for MATH112 may not
also receive credits for MATH110, MATH113, or MATH115.
Graphs and applications of elementary functions, including polynomial,
rational, exponential and logarithmic functions. Systems of equations.
Triangle trigonometry. The course differs from MATH113 only in that it
covers a substantial amount of trigonometry in place of material on
matrices, linear programming, sequences and series. MATH112 is strongly
recommended for students in Architecture, Landscape Architecture, Life
Sciences, and those needing PHYS141.
MATH 113 College Algebra and Trigonometry (3)
Prerequisite: Must have math eligibility of MATH113 or higher.
Restriction: Must not have completed MATH220, MATH140, MATH112, MATH115,
or MATH130; and must not have completed any course with a prerequisite
of MATH140 or MATH220. Credit only granted for: Students who have
credits for MATH113 may not also receive credits for MATH110, MATH112,
or MATH115.
Topics include elementary functions including graphs and applications
of: polynomial, rational, exponential, and logarithmic functions.
Systems of equations and applications. Trigonometric functions: angle
and radian measure, graphs and applications.
MATH 115 Precalculus (3)
Prerequisite: Must have math eligibility of MATH115 or higher; or
MATH113. Restriction: Must not have completed MATH140; and must not have
completed any MATH or STAT course with a prerequisite of MATH140. Credit
only granted for: Students who have credits for MATH115 may not also
receive credits for MATH112 or MATH113.
Preparation for MATH220 or MATH140. Elementary functions and graphs:
polynomials, rational functions, exponential and logarithmic functions,
trigonometric functions. Algebraic techniques preparatory for calculus.
MATH 130 Calculus I for the Life Sciences (4)
Prerequisite: Minimum grade of C in MATH112; or minimum grade of C in
MATH113; or minimum grade of C in MATH115; or permission of CMNS
undergraduate program office. Restriction: Must be in a major in
CMNSBiological Sciences UG Program; and not open to students majoring
in mathematics, engineering or the physical sciences. Credit only
granted for: MATH130, MATH220, or MATH140.
Basic ideas of differential integral calculus, with emphasis on
elementary techniques and applications to the life sciences.
MATH 131 Calculus II for Life Sciences (4)
Prerequisite: Minimum grade of C in MATH130; or minimum grade of C in
MATH140. Restriction: Must be in a major in CMNSBiological Sciences UG
Program. Credit only granted for: MATH131, MATH141, or MATH221.
Continuation of MATH130, including an introduction to autonomous
differential equations, probability (including conditional probability
and the normal and binomial distributions), and statistical reasoning
(including confidence intervals). Alongside the mathematical concepts
will be applications in biology.
MATH 140 Calculus I (4)
Prerequisite: Minimum grade of C in MATH115. Or must have completed 3
1/2 years of college preparatory mathematics (including trigonometry);
and must have math eligibility of MATH140 or higher. Or permission of
CMNSMathematics department. Credit only granted for: MATH130, MATH220,
or MATH140.
Introduction to calculus, including functions, limits, continuity,
derivatives and applications of the derivative, sketching of graphs of
functions, definite and indefinite integrals, and calculation of area.
The course is especially recommended for science, engineering and
mathematics majors.
MATH 141 Calculus II (4)
Prerequisite: Minimum grade of C in MATH140. Or minimum grade of B in
MATH130; and permission of CMNSMathematics department. Credit only
granted for: MATH131, MATH141, or MATH221.
Continuation of MATH140, including techniques of integration, improper
integrals, applications of integration (such as volumes, work, arc
length, moments), inverse functions, exponential and logarithmic
functions, sequences and series.
MATH 199 Special Topics in Mathematics (3)
Prerequisite: Permission of CMNSMathematics department.
Many games have a mathematical component. We will introduce several
games, play them, and investigate the underlying mathematics. Students
will work in teams on projects that involve developing strategies for
new games.
MATH 206 Introduction to Matlab (1)
Prerequisite: MATH141. Credit only granted for: CMSC206, CMSC298M,
MATH206, or MATH299M.
This course is intended to prepare students for subsequent courses
requiring computation with MATLAB. Covers basics of MATLAB including
simple commands, variables, solving equations, graphing differentiation
and integration, matrices and vectors, functions, Mfiles and
fundamentals of programming in the MATLAB environment. When offered in
Winter and Summer terms, the course is offered in a format suitable for
online distance learning.
MATH 212 Elements of Numbers and Operations (3)
Prerequisite: Must have completed one year of college preparatory
algebra. Restriction: Must be in one of the following programs (Early
Childhood Education; Special Education; Elementary Education). Credit
only granted for: MATH212 or MATH210.
Topics from algebra and number theory designed to provide insight into
arithmetic: sets, functions, number systems, number theory; operations
with natural numbers, integers, rational numbers; linear equations.
MATH 213 Elements of Geometry and Measurement (3)
Prerequisite: MATH212. Restriction: Must be in one of the following
programs (Early Childhood Education; Special Education; Elementary
Education). Credit only granted for: MATH211 or MATH213.
Properties of geometric objects in two and three dimensions; parallel
lines, curves and polygons; ratio, proportion, similarity;
transformational geometry and measurement, constructions, justifications
and proofs.
MATH 214 Elements of Probability and Statistics (3)
Prerequisite: MATH212. Restriction: Must be in one of the following
programs (Early Childhood Education; Special Education; Elementary
Education). Credit only granted for: MATH211 or MATH214.
Permutations and combinations; probability; collecting and representing
data; using statistics to analyze and interpret data.
MATH 220 Elementary Calculus I (3)
Prerequisite: MATH112, MATH113, or MATH115. Or must have completed 3 1/2
years of college preparatory mathematics (including trigonometry); and
must have math eligibility of MATH220 or higher. Or permission of
CMNSMathematics department. Restriction: Not open to students majoring
in mathematics, engineering or the physical sciences. Credit only
granted for: MATH130, MATH220, or MATH140.
Basic ideas of differential and integral calculus, with emphasis on
elementary techniques of differentiation and applications.
MATH 221 Elementary Calculus II (3)
Prerequisite: MATH220, MATH130, or MATH140. Restriction: Not open to
students majoring in mathematics, engineering or the physical sciences.
Credit only granted for: MATH131, MATH141, or MATH221.
Differential and integral calculus, with emphasis on elementary
techniques of integration and applications.
MATH 240 Introduction to Linear Algebra (4)
Prerequisite: Minimum grade of C in MATH131; or MATH141. Credit only
granted for: MATH240, MATH341, or MATH461.
Basic concepts of linear algebra: vector spaces, applications to line
and plane geometry, linear equations and matrices, similar matrices,
linear transformations, eigenvalues, determinants and quadratic forms.
MATH 241 Calculus III (4)
Prerequisite: MATH141. Credit only granted for: MATH241 or MATH340.
Introduction to multivariable calculus, including vectors and
vectorvalued functions, partial derivatives and applications of partial
derivatives (such as tangent planes and Lagrange multipliers), multiple
integrals, volume, surface area, and the classical theorems of Green,
Stokes and Gauss.
MATH 246 Differential Equations for Scientists and Engineers (3)
Prerequisite: MATH141; and (PHYS171, PHYS161, ENES102, or MATH240).
Credit only granted for: MATH246 or MATH341.
An introduction to the basic methods of solving ordinary differential
equations. Equations of first and second order, linear differential
equations, Laplace transforms, numerical methods and the qualitative
theory of differential equations.
MATH 274 History of Mathematics (3)
Prerequisite: MATH140 or MATH220.
An overview of aspects in the history of mathematics from its
beginning in the concrete problem solving of ancient times through the
development of abstraction in the 19th and 20th centuries. The course
considers both mathematical ideas and the context in which they
developed in various civilizations around the world.
MATH 299 Selected Topics in Mathematics (13)
Prerequisite: Permission of CMNSMathematics department.
Topics of special interest under the general guidance of the
departmental committee on undergraduate studies.
MATH 307 A Condensed Introduction to Analysis (2)
Prerequisite: MATH241. Recommended: MATH461 or MATH240. Credit only
granted for: MATH307 or MATH310.
A preparation for proofs and concepts in MATH410. Students develop
proofwriting skills as the material covers background and key ideas for
MATH410 including logic of proofs, induction and convergence concepts.
MATH 310 Introduction to Mathematical Proof (3)
Prerequisite: MATH141. Corequisite: MATH241. Restriction: Must be in a
major within CMNSMathematics department. Additional information: Math
majors may not use this course to satisfy an upperlevel requirement.
To prepare students for MATH410 Advanced Calculus. To develop the
students' ability to construct a rigorous proof of a mathematical claim.
Students will also be made aware of mathematical results that are of
interest to those wishing to analyze a particular mathematical model.
Topics will be drawn from logic, set theory, structure of the number
line, elementary topology, metric spaces, functions, sequences and
continuity.
MATH 312 Mathematical Reasoning and Proof for PreService Middle School Teachers (3)
Prerequisite: MATH212 and MATH213. Restriction: Permission of
CMNSMathematics department; or must be in one of the following programs
(Elementary Education; Special Education; Middle School Education).
Reasoning and proof as addressed in the middle school curriculum. Topics
include proportional reasoning, logic and proof, types of numbers, field
axioms, Euclidean and nonEuclidean geometry.
MATH 314 Introduction to Probability, Data, Analysis and Statistics for Preservice Middle School Teachers (3)
Prerequisite: MATH214. Restriction: Must be in one of the following
programs (Elementary Education; Special Education; Middle School
Education) ; or permission of CMNSMathematics department. Credit only
granted for: MATH314 or STAT100.
Analysis of bivariate data, probability and randomness, law of large
numbers, central limit theorem, probabilities for independent and
dependent events, counting techniques, random variables and probability
distributions, expected values, sampling distributions, and confidence
intervals.
MATH 315 Algebra for Preservice Middle School Teachers (3)
Prerequisite: MATH212. Restriction: Permission of CMNSMathematics
department; or must be in one of the following programs (Elementary
Education; Special Education; Middle School Education). Credit only
granted for: MATH112, MATH113, or MATH315.
Algebraic concepts and techniques developed in the middle grades, with
their larger mathematical context. Equations, inequalities and functions
(linear, polynomial, exponential, logarithmic), with multiple
representations of relationships. Common misconceptions of beginning
algebra students.
MATH 340 Multivariable Calculus, Linear Algebra and Differential Equations I (Honors) (4)
Prerequisite: MATH141 and MATH140; and permission of CMNSMathematics
department. Credit only granted for: MATH241 or MATH340.
First semester of the MATH340341 sequence which gives a unified and
enriched treatment of multivariable calculus, linear algebra and
ordinary differential equations, with supplementary material from
subjects such as differential geometry, Fourier series and calculus of
variations. Students completing MATH340341 will have covered the
material of MATH240, MATH241, and MATH246, and may not also receive
credit for MATH240, MATH241 or MATH246.
MATH 341 Multivariable Calculus, Linear Algebra, Differential Equations II (Honors) (4)
Prerequisite: MATH340. Credit only granted for: MATH341, MATH240,
MATH246, or MATH461.
A continuation of MATH340.
MATH 386 Experiential Learning (36)
Restriction: Junior standing or higher.
MATH 401 Applications of Linear Algebra (3)
Prerequisite: 1 course with a minimum grade of C from (MATH461,
MATH240).
Various applications of linear algebra: theory of finite games, linear
programming, matrix methods as applied to finite Markov chains, random
walk, incidence matrices, graphs and directed graphs, networks and
transportation problems.
MATH 402 Algebraic Structures (3)
Prerequisite: MATH240. Restriction: Must not be in any of the following
programs (Mathematics (Master's); Mathematics (Doctoral)). Credit only
granted for: MATH402 or MATH403.
For students having only limited experience with rigorous mathematical
proofs. Parallels MATH403. Students planning graduate work in
mathematics should take MATH403. Groups, rings, integral domains and
fields, detailed study of several groups; properties of integers and
polynomials. Emphasis is on the origin of the mathematical ideas studied
and the logical structure of the subject.
MATH 403 Introduction to Abstract Algebra (3)
Prerequisite: Minimum grade of C in MATH240 and MATH241. And minimum
grade of C in MATH310; or students who have taken courses with
comparable content may contact the department. Credit only granted for:
MATH402 or MATH403.
Integers; groups, rings, integral domains, fields.
MATH 404 Field Theory (3)
Prerequisite: MATH403.
Algebraic and transcendental elements, Galois theory, constructions
with straightedge and compass, solutions of equations of low degrees,
insolubility of the quintic equation, Sylow theorems, fundamental
theorem of finite Abelian groups.
MATH 405 Linear Algebra (3)
Prerequisite: Minimum grade of C in MATH461 and MATH240. And minimum
grade of C in MATH310; or students who have taken courses with
comparable content may contact the department.
An abstract treatment of finite dimensional vector spaces. Linear
transformations and their invariants.
MATH 406 Introduction to Number Theory (3)
Prerequisite: 1 course with a minimum grade of C from (MATH240,
MATH241, MATH246); or permission of CMNSMathematics department.
Integers, divisibility, prime numbers, unique factorization,
congruences, quadratic reciprocity, Diophantine equations and
arithmetic functions.
MATH 410 Advanced Calculus I (3)
Prerequisite: Minimum grade of C in MATH240 and MATH241. And minimum
grade of C in MATH310; or students who have taken courses with
comparable content may contact the department. And permission of
CMNSMathematics department.
First semester of a year course. Subjects covered during the year are:
sequences and series of numbers, continuity and differentiability of
real valued functions of one variable, the Riemann integral, sequences
of functions and power series. Functions of several variables including
partial derivatives, multiple integrals, line and surface integrals. The
implicit function theorem.
MATH 411 Advanced Calculus II (3)
Prerequisite: Minimum grade of C in MATH411; and permission of
CMNSMathematics department. Credit only granted for: MATH411 or
MATH412.
Continuation of MATH410.
MATH 412 Advanced Calculus with Applications (3)
Prerequisite: Minimum grade of C in MATH410; and permission of
CMNSMathematics department. Credit only granted for: MATH411 or
MATH412.
Analysis in several variables, and applications, from a computational
perspective.
MATH 414 Differential Equations (3)
Prerequisite: MATH410; and MATH240. Or students who have taken courses
with comparable content may contact the department.
Existence and uniqueness theorems for initial value problems. Linear
theory: fundamental matrix solutions, variation of constants formula,
Floquet theory for periodic linear systems. Asymptotic orbital and
Lyapunov stability with phase plane diagrams. Boundary value theory and
series solutions.
MATH 416 Applied Harmonic Analysis: An Introduction to Signal Processing (3)
Prerequisite: MATH141 and MATH240; or permission of CMNSMathematics
department. And familiarity with MATLAB is also required.
Introduces students to the mathematical concepts arising in signal
analysis from the applied harmonic analysis point of view. Topics
include applied linear algebra, Fourier series, discrete Fourier
transform, Fourier transform, Shannon Sampling Theorem, wavelet bases,
multiresolution analysis, and discrete wavelet transform.
MATH 420 Mathematical Modeling (3)
Prerequisite: MATH240 or MATH461; and (MATH241, MATH246, and STAT400);
and permission of CMNSMathematics department. Also offered as: AMSC420.
Credit only granted for: AMSC420 or MATH420.
The course will develop skills in mathematical modeling through
practical experience. Students will work in groups on specific projects
involving reallife problems that are accessible to their existing
mathematical backgrounds. In addition to the development of mathematical
models, emphasis will be placed on the use of computational methods to
investigate these models, and effective oral and written presentation of
the results.
MATH 424 Introduction to the Mathematics of Finance (3)
Prerequisite: MATH141; and (STAT400 or BMGT231); and permission of
CMNSMathematics department. Recommended: MATH246, MATH240, or MATH241.
Credit only granted for: BMGT444, MATH424, or MATH498F. Formerly:
MATH498F.
Introduction to the mathematical models used in finance and economics
with emphasis on pricing derivative instruments. Designed for students
in mathematics, computer science, engineering, finance and physics.
Financial markets and instruments; elements from basic probability
theory; interest rates and present value analysis; normal distribution
of stock returns; option pricing; arbitrage pricing theory; the
multiperiod binomial model; the BlackScholes option pricing formula;
proof of the BlackScholes option pricing formula and applications;
trading and hedging of options; Delta hedging; utility functions and
portfolio theory; elementary stochastic calculus; Ito's Lemma; the
BlackScholes equation and its conversion to the heat equation.
MATH 430 Euclidean and NonEuclidean Geometries (3)
Prerequisite: Minimum grade of C in MATH240.
Hilbert's axioms for Euclidean geometry. Neutral geometry: the
consistency of the hyperbolic parallel postulate and the inconsistency
of the elliptic parallel postulate with neutral geometry. Models of
hyperbolic geometry. Existence and properties of isometries.
MATH 431 Geometry for Computer Graphics (3)
Prerequisite: MATH461 or MATH240.
Topics from projective geometry and transformation geometry, emphasizing
the twodimensional representation of threedimensional objects and
objects moving about in the plane and space. The emphasis will be on
formulas and algorithms of immediate use in computer graphics.
MATH 432 Introduction to Topology (3)
Prerequisite: MATH410; or students who have taken courses with
comparable content may contact the department.
Metric spaces, topological spaces, connectedness, compactness (including
HeineBorel and BolzanoWeierstrass theorems), Cantor sets, continuous
maps and homeomorphisms, fundamental group (homotopy, covering spaces,
the fundamental theorem of algebra, Brouwer fixed point theorem),
surfaces (e.g., Euler characteristic, the index of a vector field, hairy
sphere theorem), elements of combinatorial topology (graphs and trees,
planarity, coloring problems).
MATH 436 Differential Geometry of Curves and Surfaces I (3)
Prerequisite: MATH241; and (MATH461 or MATH240); and must have completed
two 400level MATH courses (not including MATH400, 461 and 478).
Curves in the plane and Euclidean space, moving frames, surfaces in
Euclidean space, orientability of surfaces; Gaussian and mean
curvatures; surfaces of revolution, ruled surfaces, minimal surfaces,
special curves on surfaces, "Theorema Egregium"; the intrinsic geometry
of surfaces.
MATH 437 Differential Forms (3)
Prerequisite: MATH241; and (MATH461 or MATH240). Recommended: MATH405,
MATH403, MATH436, MATH410, or MATH432.
Introduction to differential forms and their applications, and unites
the fundamental theorems of multivariable calculus in a general Stokes
Theorem that is valid in great generality. It develops this theory and
technique to perform calculations in analysis and geometry. Topics
include an introduction to topological spaces, the GaussBonnet Theorem,
Gauss's formula for the linking number, and the Cauchy Integral Theorem.
Applications include Maxwell's equations of electromagnetism,
connections and gauge theory, and symplectic geometry and Hamiltonian
dynamics.
MATH 445 Elementary Mathematical Logic (3)
Prerequisite: MATH141. Credit only granted for: MATH445, MATH450, or
CMSC450.
Elementary development of propositional and predicate logic, including
semantics and deductive systems and with a discussion of completeness,
incompleteness and the decision problem.
MATH 446 Axiomatic Set Theory (3)
Prerequisite: MATH403 or MATH410.
Development of a system of axiomatic set theory, choice principles,
induction principles, ordinal arithmetic including discussion of
cancellation laws, divisibility, canonical expansions, cardinal
arithmetic including connections with the axiom of choice, Hartog's
theorem, Konig's theorem, properties of regular, singular and
inaccessible cardinals.
MATH 452 Introduction to Dynamics and Chaos (3)
Prerequisite: MATH246 and MATH240. Also offered as: AMSC452. Credit only
granted for: AMSC452 or MATH452.
An introduction to mathematical dynamics and chaos. Orbits,
bifurcations, Cantor sets and horseshoes, symbolic dynamics, fractal
dimension, notions of stability, flows and chaos. Includes motivation
and historical perspectives, as well as examples of fundamental maps
studied in dynamics and applications of dynamics.
MATH 456 Cryptology (3)
Prerequisite: 2 courses from MATH400499 course range. Or CMSC351 and
CMSC330; and permission of CMNSMathematics department. Also offered as:
CMSC456. Credit only granted for: MATH456 or CMSC456.
Importance in protecting data in communications between computers. The
subject lies on the border between mathematics and computer science.
Mathematical topics include number theory and probability. Computer
science topics include complexity theory.
MATH 461 Linear Algebra for Scientists and Engineers (3)
Prerequisite: MATH141; and must have completed any MATH or STAT course
with a prerequisite of MATH141. Credit only granted for: MATH240,
MATH341, or MATH461. Additional information: This course may not be used
towards the upper level math requirements for MATH/STAT majors.
Basic concepts of linear algebra. This course is similar to MATH 240,
but with more extensive coverage of the topics needed in applied linear
algebra: change of basis, complex eigenvalues, diagonalization, the
Jordan canonical form.
MATH 462 Partial Differential Equations (3)
Prerequisite: MATH241 and MATH246.
Linear spaces and operators, orthogonality, SturmLiouville problems
and eigenfunction expansions for ordinary differential equations.
Introduction to partial differential equations, including the heat
equation, wave equation and Laplace's equation. Boundary value
problems, initial value problems and initialboundary value problems.
MATH 463 Complex Variables for Scientists and Engineers (3)
Prerequisite: MATH241; or students who have taken courses with
comparable content may contact the department.
The algebra of complex numbers, analytic functions, mapping properties
of the elementary functions. Cauchy integral formula. Theory of
residues and application to evaluation of integrals. Conformal mapping.
MATH 464 Transform Methods for Scientists and Engineers (3)
Prerequisite: MATH246.
Fourier transform, Fourier series, discrete fast Fourier transform (DFT
and FFT). Laplace transform. Poisson summations, and sampling. Optional
Topics: Distributions and operational calculus, PDEs, Wavelet transform,
Radon transform and applications such as Imaging, Speech Processing,
PDEs of Mathematical Physics, Communications, Inverse Problems.
MATH 470 Mathematics for Secondary Education (3)
Prerequisite: MATH141 and MATH140; and 1 course from MATH400499 course
range. Credit only granted for: MATH470 or MATH498E. Formerly: MATH498E.
An advanced perspective on some of the core mathematics underlying high
school mathematics courses. Topics include number systems, functions of
one variable, equations, inequalities, trigonometric functions, curve
fitting, and polynomials. The course includes an analysis of alternate
approaches to mathematical ideas and problems, and makes connections
between ideas that may have been studied separately in different high
school and college courses.
MATH 475 Combinatorics and Graph Theory (3)
Prerequisite: MATH240 and MATH241; and permission of CMNSMathematics
department. Also offered as: CMSC475. Credit only granted for: MATH475
or CMSC475.
General enumeration methods, difference equations, generating
functions. Elements of graph theory, matrix representations of graphs,
applications of graph theory to transport networks, matching theory and
graphical algorithms.
MATH 478 Selected Topics For Teachers of Mathematics (13)
Prerequisite: Students who have taken courses with comparable content
may contact the department; and permission of CMNSMathematics
department.
MATH 480 Algebra for Middle School Teachers (3)
Prerequisite: MATH214; or students who have taken courses with
comparable content may contact the department. Restriction: Must be a
middle school teacher. Credit only granted for: MATH480, MATH483, or
MATH498C. Formerly: MATH498C.
Prepares teachers with elementary certification to teach Algebra 1 in
middle school. Focuses on basic algebra concepts and related
theoretical ideas.
MATH 481 Statistics and Data Analysis for Middle School Teachers (3)
Prerequisite: MATH214; or students who have taken courses with
comparable content may contact the department. Restriction: Must be a
middle school teacher. Credit only granted for: MATH481 or MATH485.
Formerly: MATH498B. Additional information: This course may not be used
towards the upper level math requirements for the MATH/STAT major.
Prepares teachers with elementary certification to teach simple data
analysis and probability in middle school. Focuses on understanding
basic statistics, data analysis, and related theoretical ideas.
MATH 482 Geometry for Middle School Teachers (3)
Prerequisite: MATH214; or students who have taken courses with
comparable content may contact the department. Restriction: Must be a
middle school teacher; and senior standing. Credit only granted for:
MATH482 or MATH484. Additional information: This may not be used towards
the upper level math requirements for the MATH/STAT major.
Prepares teachers with elementary certification to teach geometry in
middle school. Focuses on understanding basic geometry concepts and
related theoretical ideas.
MATH 483 Algebra for School Teachers (3)
Prerequisite: MATH141; or students who have taken courses with
comparable content may contact the department. Restriction: Senior
standing. Credit only granted for: MATH498C, MATH483, or MATH480.
Formerly: MATH498C.
Focuses on concepts related to algebra and trigonometry, including
functions, equations, inequalities, and data analysis. Assumes a good
understanding of calculus.
MATH 484 Geometry for High School Teachers (3)
Prerequisite: MATH141; or students who have taken courses with
comparable content may contact the department. Restriction: Senior
standing. Credit only granted for: MATH482, MATH484, or MATH498E.
Formerly: MATH498E.
Focuses on concepts related to geometry, including several geometry
axiom schemes, transformations, and similarity. Includes constructions
with Geometer's Sketchpad.
MATH 485 Statistics for High School Teachers (3)
Prerequisite: MATH141; or students who have taken courses with
comparable content may contact the department. Credit only granted for:
MATH481, MATH485, or MATH498S. Formerly: MATH498S.
Focuses on concepts related to statistics and data analysis, including
probability, sampling, distribution of data, and inference.
MATH 486 Calculus for High School Teachers (3)
Prerequisite: MATH141; and cannot be used toward the upper level math
requirements for MATH/STAT majors.
Focuses on concepts related to onevariable calculus including limits,
continuity, derivative, integrals, series, and applications of these
topics.
MATH 487 Number for Middle Grades Teachers (3)
Prerequisite: Must have admission to M.A. or M.Ed. with concentration in
Mathematics Education; or permission of CMNSMathematics department.
Restriction: This course may not be used towards the upper level math
requirements for the MATH/STAT major. Credit only granted for: MATH487
or MATH498K. Formerly: MATH498K.
The rational number and proportional reasoning concepts developed in
the middle grades and the larger mathematical context for these.
Multiple representations of relationships, including verbal
descriptions, diagrams, tables, graphs, and equations. Common
misconceptions.
MATH 489 Research Interactions in Mathematics (13)
Prerequisite: Permission of CMNSMathematics department. Repeatable to
10 credits if content differs.
Students participate in a vertically integrated (undergraduate, graduate
and/or postdoctoral, faculty) mathematics research group. Format varies.
Students and supervising faculty will agree to a contract which must be
approved by the department. Up to three credits of MATH489 may be
applied to the mathematics degree requirements. See the department's
MATH489 online syllabus for further information.
MATH 498 Selected Topics in Mathematics (19)
Repeatable to 9 credits if content differs.
Topics of special interest to advanced undergraduate students will be
offered occasionally under the general guidance of the departmental
committee on undergraduate studies.
Return to top