General Catalog for 2009-10

(MATH) Mathematics


1003.0 College Algebra
Review of fundamentals, study of quadratic equations, solution of
systems of linear equations, and other topics. Prerequisite: ASKL 1013
or official placement.
Fall/Spring
1013.0 Trigonometry
Solution of triangles, identities, and equations. Study of graphs.
Prerequisite: ASKL 1013 or official placement.
Spring Even Yrs
1034.0 Precalculus
A course designed to prepare students for Calculus. Topics include
functions, polynomials, rational functions, exponential & logarithmic
functions, circular functions, systems of linear equations and co-
ordinate geometry. Prerequisite: MATH 1003 or official placement.
Fall
1063.0 Business Calculus
Intuitive coverage of calculus emphasizing applications in business.
Differentiation, optimization in one- and two-variable problems,
applications of exponential growth, elasticity of demand, and integra-
tion. A student may not earn credit for graduation in MATH 1063 after
having earned credit in MATH 2014. Prerequisite: MATH 1003 or official
placement. CORE 1033 is not a suitable prerequisite.
Fall/Spring
1073.0 Discrete Mathematics I.
An introduction to areas of mathematics not typically seen in high
school. Topics include elementary symbolic logic, Boolean and matrix
algebra, set and number theory, relations, graph theory, and an intro-
duction to mathematical reasoning. Prerequisite: MATH 1003 or official
placement.
Fall
1103.0 Special Topics in Mathematics.
A course covering special mathematical content not normally covered in
the curriculum. Prerequisite: consent of instructor.
Summer
2014.0 Calculus I
Introductory study of calculus and analytic geometry, including
differentiation, application of derivatives, integration, and appli-
cation of integrals. Prerequisite: MATH 1034 or official placement.
Fall/Spring
2024.0 Calculus II
Continuation of MATH 2014. Further study of transcendental functions,
techniques of integration, sequences & series. Prerequisite: MATH 2014
Fall/Spring
2033.0 Mathematics for Early Childhood Teachers.
An introduction to the mathematical concepts underlying the tradi-
tional computational techniques for elementary school mathematics. The
course may not be counted on a major or minor in Mathematics or for
certification in secondary mathematics. Open only to Early Childhood
Education majors. Prerequisite: ASKL 1013 or official placement.
Fall/Spring
2053.0 Mathematics for Middle School Teachers
An introduction to the mathematical concepts underlying the tradi-
tional computational techniques for middle school Mathematics. The
course may not be counted towards a major or minor in Mathematics.
Prerequisite: MATH 1003.
Fall
2063.0 Elementary Statistics
An introduction to the fundamental concepts and methods of modern
statistics, emphasizing data analysis and statistical reasoning.
Topics include descriptive statistics, experimental design, elementary
probability, random sampling, estimation, hypothesis testing, simple
linear regression, and ANOVA. Statistical software will be used exten-
sively. Prerequisite: MATH 1003 or official placement.
Spring
2073.0 Discrete Mathematics II.
Continuation of MATH 1043 and an introduction to the techniques of
mathematical proof. Additional topics in number and graph theory,
equivalence relations, fundtions, combinatorics, and algebraic group
theory. Prerequisite: MATH 1073.
Spring
2093.0 Linear Algebra.
A study of vectors, matrices, and vector spaces. Topics include solu-
tions of linear systems, linear transformations, determinants, bases,
corrdinate systems, eigenvectors and eignvalues, orthogonality, and
quadratic forms. Prerequisite: MATH 2024 or MATH 2073.
Fall Odd Yrs
3003.0 Foundations of Geometry
A study of the axiomatic bases of geometries, their relation to "real"
space; basic concepts of point, line, plane and space; projective and
non-Euclidean geometries. Prerequisite: MATH 2014 or 2073.
Spring Odd Yrs
3034.0 Calculus III
Continuation of MATH 2024. A study of polar coordinates, vectors,
vector-valued functions, function of multiple variables, including
partial differentiation and multiple integrals. Prerequisite: MATH
2024.
Spring
3043.0 Differential Equations
Ordinary differential equations such as occur in geometry, physics,
and chemistry. Course covers classical solution techniques including
power series solutions and also treats the Laplace Transform Method.
Prerequisite: MATH 2024.
Fall Odd Yrs
3053.0 Abstract Algebra I
A study of groups: symmetric groups, groups of integers, subgroups,
group homomorphisms and isomorphisms, and other group theory topics.
Prerequisite: MATH 2073.
Fall Odd Yrs
3063.0 Probability and Statistics.
Counting techniques, probability, odds, mathematical expectation, dis-
tributions, moments, sampling, mathematical models and testing hypo-
theses. Prerequisite: MATH 2014.
Spring Even Yrs
3083.0 History of Mathematics
A survey of the development of mathematical theories and techniques
from the early Egyptians through the eighteenth century. Emphasis is
placed upon appreciation, but assignments include representative exer-
cises. Prerequisite: MATH 2014 or Math 2073 or consent of instructor.
Fall Even Yrs
3202.0 Advanced Chemical Calculations
A study of calculations required to master advanced chemical topics.
This course may not be counted towards a major in mathematics.
Prerequisite: MATH 2014. Prerequisite or corequisite: CHEM 3015.
Spring
3301.0 Junior Mathematics Seminar I.
A course designed to give extensive experience in independent learning
and reading of technical literature. Prerequisite: Junior standing or
consent of instructor.
Fall/Spring
3311.0 Junior Mathematics Seminar II.
Continuation of MATH 3301. Prerequisite: Junior standing or consent
of instructor.
Fall/Spring
4013.0 Methods in Secondary Mathematics
A modular course for secondary mathematics education students in-
cluding theories, purposes, activities, curricula and new developments
in teaching. Prerequisite: Junior or Senior standing.
Fall Even Yrs
4023.0 Advanced Calculus I
A more theorectical treatment than is provided by the basic calculus
courses. Topics include: limits, continuity, derivatives and the
Riemann integral; primarily in one dimension. Prerequisites: MATH
2073, 2093, 3034.
Fall Even Yrs
4033.0 Advanced Calculus II
Continuation of MATH 4023. topics include: series, functions of
several variables and integrals other than Riemann-type. Pre-
requisite: MATH 4023.
Spring Odd Yrs
4053.0 Abstract Algebra II
Continuation of MATH 3053. Study of rings, fields, polynomial rings,
extension fields, Galois Theory, and other topics. Prerequisite:
MATH 3053.
Spring Even Yrs
4103.0 Methods in Early Childhood Mathematics.
A modular course for early childhood mathematics education students
including theories, purposes, activities, curricula, and new develop-
ments in teaching. The course may not be counted toward a major or
minor in Mathematics or for certification in secondary mathematics.
Open only to Early Childhood Education majors. Prerequisite: Junior or
Senior standing.
Fall
4113.0 Methods in Middle School Mathematics.
A modular course for middle school mathematics education students in-
cluding theories, purposes, activities, curricula, and new develop-
ments in teaching. The course may not be counted toward a major or
minor in Mathematics or for certification in secondary mathematics.
Open only to Middle School Education majors. Prerequisite: Junior or
Senior standing.
Fall
4123.0 Methods in Middle School Mathematics for Non-Math/Science Teachers.
A modular course for middle school non-mathematics education students
including theories, purposes, activities, curricula, and new develop-
ments in teaching. The course may not be counted toward a major or
minor in Mathematics or for certification in secondary mathematics.
Open only to Middle School Education non-math/science majors. Pre-
requisite: MATH 2053.
Fall
4401.0 Senior Mathematics Seminar I.
A course designed to give extensive experience in the communication of
mathematical thought through writing and oral presentation. Prerequi-
site: Senior standing or consent of instructor. [CAC-W and CAC-O]
Fall/Spring
4411.0 Senior Mathematics Seminar II.
Continuation of MATH 4401. Prerequisite: Senior standing or consent of
instructor.
Fall/Spring
4423.0 Special Topics in Mathematics.
A course covering special mathematical content not normally covered in
the curriculum. Course may be repeated for credit one time, provided
that the repeat is a different topic. Prerequisite: consent of
instructor.
Spring
4801.0 4801-4893. Special Studies in Mathematics
For students who wish to do independent work on advanced problems.
On Demand