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MATH-1880 Topics in Calculus
–Fa, Sp, Su
1–3 hours
This course is for students who are attempting to transfer
credit for MATH-1710 or MATH-1720 Calculus I and II when those
transferred courses lack some of the topics contained in MATH-
1710 or MATH-1720. It requires full participation in a MATH-1710
or MATH-1720 course during the sections in which the student’s
transferred course is found to be deficient or in a stand-alone
course offered during Summer School I.
Prerequisite: GMTH-1030
Precalculus or equivalent; permission of instructor. Corequisite:
partial transfer credit for MATH-1710 and/or MATH-1720 or
approved transient credit for a Calculus I or II course that will
provide less than full credit for MATH-1710 or MATH 1720.
MATH-1990
3 hours
Beautiful Math Structures and Thinking
–Fa
This course introduces freshmen math majors to interesting
mathematical ideas and applications beyond the usual scope
of standard math courses. Topics include an introduction to
propositional logic, function theory, and infinite sets. Other
topics will be chosen from elementary number theory, modular
arithmetic, error-correcting codes, Fibonacci numbers and the
golden ratio, fractals, discrete dynamical systems and chaos, Euler
and Hamilton Circuits, democracy and impossibility theorems,
game theory, the Platonic solids, n-dimensional space, and other
topics up to the discretion of the instructor.
MATH-2210 Logic and Methods of Proof
–Fa
3 hours
Introduction to formal mathematical logic; emphasis on
preparing students for the abstraction of upper-division courses.
Special attention is given to the development of students’
skills with a variety of methods of proof, using examples from
numerous areas.
Prerequisites: MATH-1720 Calculus II; MATH-
1990 Beautiful Math Structures and Thinking; or permission of
instructor.
MATH-2510 Discrete Math for Computer Science
–Sp
3 hours
An introduction to mathematical foundations of computer
science, including propositional and predicate calculus, methods
of proof, sets and relations, recurrences, graphs and trees, and
program correctness and proofs. This course does not satisfy
any requirements for the B.A. or B.S. in mathematics or the B.A.
in integrated mathematics education.
Prerequisite: MATH-1710
Calculus I.
MATH-2520
3 hours
Discrete Math and Probability Principles for
Computer Science
–Sp
An introduction to mathematical foundations of computer
science, including propositional and predicate calculus, methods
of proof, sets and relations, recurrences, program correctness
and proofs, probability models, random variables, probability
distributions, estimation, and hypothesis testing.
Prerequisites:
MATH-1720 Calculus II; EGCP-1010 Digital Logic Design.
MATH-2710 Calculus III
–Fa, Sp
3 hours
Introduction to differential and integral calculus of several
variables, multiple integrals, vector analysis, line integrals,
and surface integrals.
Prerequisite: MATH-1720 Calculus II or
equivalent or permission of instructor.
MATH-2740 Differential Equations
–Fa, Sp
3 hours
Study of the standard techniques employed in the solution of
differential equations with emphasis on those arising from physical
problems.
Prerequisite: MATH-1720 Calculus II or equivalent.
MATH-2800 LaTeX for Technical Documents
–Sp
1 hour
In this course students will be introduced to the typesetting
language of LaTeX through the use of tutorials, example
documents, and homework assignments. They will learn to easily
prepare professional-looking theses, conference papers, and
journal papers. They will also learn how to create professional-
looking presentations, homework, quizzes, examinations, syllabi,
resumés, and curriculum vitae.
MATH-3050
4 hours
Algebraic Structures for Secondary Education Majors
–Fa
An introduction to the basic ideas of number theory,
abstract algebra, and linear algebra. Factorization of integers,
congruence modulo m, Fermat’s Theorem, groups, rings, integral
domains, fields, vector spaces, systems of linear equations,
determinants and inverses, linear transformations, eigenvalues,
and eigenvectors. Does not count toward B.A. or B.S. majors in
mathematics.
Prerequisites: MATH-2210 Logic and Methods of
Proof.
MATH-3110 Probability and Statistics I
–Fa
3 hours
Probability models, random variables, probability distributions,
estimation, and hypothesis tests are studied from theoretical and
practical viewpoints.
Prerequisite: MATH-1720 Calculus II.
MATH-3240 Introduction to Operations Research
–Fa
3 hours
Formulation and analysis of mathematical models for the
optimal solution of decision making problems under certainty.
Course content includes linear programming; the simplex method,
duality and sensitivity analysis. This course applies probabilistic
analysis to such nondeterministic models as queueing models,
elements of dynamic programming, and Markov decision analysis.
Prerequisites: MATH-3610 Linear Algebra; MATH-3110 Probability
and Statistics; or permission of the instructor.
(even years)
MATH-3500 Number Theory
–Fa
3 hours
Introduction to most of the topics of elementary number
theory such as modular arithmetic, prime factorizations, linear
diophantine equations, the Chinese remainder theorem, quadratic
reciprocity, Pythagorean triples, number theoretic functions, and
related topics. Concrete examples will illustrate the concepts and
abstract reasoning will develop the theories considered in the
course.
Prerequisite: MATH-2210 Logic and Methods of Proof.
(odd years)
MATH-3550 Discrete Math: Graph Theory
–Fa
3 hours
Introduction to the basic concepts of graph theory and discrete
mathematics problem-solving. Topics covered include elements
of graph theory, covering circuits, graph coloring, trees and
searching, and network algorithms.
Prerequisite: MATH-2210
Logic and Methods of Proof.
(odd years)
MATH-3560 Discrete Math: Combinatorics
–Sp
3 hours
Study of combinatorial reasoning, focusing on enumeration.
Intended to develop a proficiency in methods of enumerative
problem solving. Topics chosen from areas such as counting
methods for arrangements and selections, permutations and
combinations, generating functions, partitions, and recurrence
relations.
Prerequisite: MATH-2210 Logic and Methods of Proof.
(odd years)
MATH-3610 Linear Algebra
–Sp
3 hours
Introduction to the algebra of linear equations, including
determinants, matrices, vector spaces, eigenvalues, eigenvectors,
and linear mappings.
Prerequisite: MATH-1720 Calculus II or
equivalent.
MATH-3710 Advanced Calculus
–Sp
3 hours
Topics in function theory, vector analysis, differential calculus of
several variables, vector differential calculus of several variables,
integral calculus of several variables, vector integral calculus of
several variables, and infinite series.
Prerequisite: MATH-2710
Calculus III or equivalent or permission of instructor.
(even years)
MATH-3740 Complex Variables
–Sp
3 hours
Introduction to complex arithmetic, differentiation: analytic
functions, Cauchy-Riemann equations, harmonic functions,
elementary functions and their mapping properties, integration:
Cauchy’s Theorem, Cauchy’s Integral Formula, Taylor and Laurent
series, poles, residues, and the residue theorem.
Prerequisite:
MATH-1720 Calculus II.
(odd years)
2017–18 Undergraduate Academic Catalog
Page
291
Course Descriptions
MATH-1880 – MATH-3740
SCIENCE AND MATHEMATICS