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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-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.
GSCI-3010 Concepts in Middle School Science
–Sp
4 hours
This course highlights key concepts in middle school science
by reviewing and extending concepts from previous science
courses with an emphasis on the integration of earth sciences,
physical sciences, and life sciences. Concepts addressed include
the nature and history of science, the theories of biological and
geological evolution, and cell theory. This course will include
pertinent pedagogy for teaching stated concepts in a middle
school setting. Three lectures and one laboratory session per
week.
Prerequisites: GBIO-1000 Principles of Biology; GSCI-1010
Principles of Earth Science. CHEM-1000 Principles of Chemistry
(recommended)
(Fee: $75) (even years)
GSCI-3060
4 hours
Environmental Science for Middle School Educators
–Sp
Introduction to the interdisciplinary study of the dynamic
relationships that exist between the earth’s organisms and their
environment and how human activity affects these relationships.
Students will identify and analyze environmental problems both
natural and human-made and identify and explore sustainable
solutions to the problems. This course will include pertinent
pedagogy for teaching environmental science in a middle school
setting. Three lectures and one laboratory session per week. This
course does not satisfy the general education requirement for
biology.
Prerequisites: GBIO-1000 Principles of Biology, GSCI-1010
Principles of Earth Science
(Fee: $100) (odd years)
Mathematics (MATH)
MATH-1710 Calculus I
–Fa, Sp
5 hours
First course of a two-course sequence covering basic concepts
of analytic geometry and single variable calculus. Includes
limits, transcendental functions, derivatives, applications of the
derivative, single variable integration with introduction to numeric
integration techniques, applications of integration including some
solutions of differential equations, and additional integration
techniques.
Prerequisite: GMTH-1030 Precalculus or equivalent;
or permission of instructor.
MATH-1720 Calculus II
–Fa, Sp
5 hours
The second course of a two-course sequence covering the
basic concepts of analytic geometry and single variable calculus.
Includes sequences, series, expansion of functions into Taylor and
power series, conic sections, plane curves, parametric equations,
polar coordinates, vectors and geometry in three-space, vectors,
and vector calculus.
Prerequisite: MATH-1710 Calculus I or
equivalent or permission of instructor.
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.
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271
2015–16 Undergraduate Academic Catalog
Course Descriptions
GSCI-3010 – MATH-3110