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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