Mathematics Course Descriptions
Quarter System
Disclaimer: The information
contained here is not official.
Official information is contained in your AASU Catalog.
Contents Page Semester System Course Descriptions
MAT 101 College Algebra (5-0-5)
Semester System equivalent: MATH
1111
Prerequisite: Student must satisfy one of the following: (a)
fulfillment of the CPC mathematics requirement and a score of at
least 380 on the mathematics portion of the SAT, (b) a passing grade
on the mathematics component of the CPE, or (c) successful exit from
Learning Support Mathematics.
Functional approach to algebra that incorporates the use of
appropriate technology. Emphasis will be placed on the study
functions and their graphs; inequalities; and linear, quadratic,
piecewise-defined, rational, polynomial, exponential, and logarithmic
functions. Appropriate applications will be included. 
MAT 103 Pre-Calculus Mathematics (5-0-5)
Semester System equivalent: MATH
1113
Prerequisite: MAT 101, a score of at least 550 on the mathematics
portion of the SAT, or permission of the department head.
Designed to prepare students for calculus, physics, and related
technical subjects. Topics include an intensive study of algebraic
and transcendental functions accompanied by analytic geometry.
MAT 195 Applied Mathematics for Non-Science Majors (5-0-5)
Semester System equivalent: MATH
1950
Prerequisite: MAT 101
Mathematical applications in economics and the social sciences.
Linear functions and models; matrix operations and applications;
inequalities and linear programming; exponential and logarithmic
functions; single and multivariate differentiation.
MAT 206 Calculus I (5-0-5)
Semester System equivalent: MATH
1161
Prerequisite: MAT 103, a score of at least 600 on the mathematics
portion of the SAT, or permission of the department head.
Functions and limits; the derivative and its applications;
antidifferentiation; the definite integral and its applications;
exponential and logarithmic functions.
MAT 207 Calculus II (5-0-5)
Semester System equivalent: MATH
2072
Prerequisite: MAT 206.
Techniques and applications of integration; transcendental functions;
indeterminate forms; improper integrals; parametric equations and
polar coordinates.
MAT 208 Calculus III (5-0-5)
Semester System equivalent: MATH
2083
Prerequisite: MAT 207.
Sequences and series; Taylor's theorem; vectors, curves, and surfaces
in three-dimensional space; partial differentiation; multiple
integrals.
MAT 216 Linear Algebra (5-0-5)
Semester System equivalent: MATH
2160
Prerequisite: MAT 207.
Linear systems and matrices; vector spaces; linear independence, rank
of a matrix; linear transformations; determinants; introduction to
eigenvalues and eigenvectors; diagonalization; applications.
MAT 220 Elementary Statistics (5-0-5)
Semester System equivalent: MATH
2200
Prerequisite: MAT 101
Measures of central tendency and dispersion; probability
distributions; inferences concerning means and proportions; goodness
of fit; correlation; linear regression.
MAT 225 Computational Methods in Statistics (5-0-5)
Semester System equivalent: MATH
2201
Prerequisite: MAT 220
Statistical programming with Minitab and SAS software, including data
analyses involving ANOVA, multiple regression, and nonparametric
statistics.
MAT 260 Introduction to Mathematical Proof (5-0-5)
Semester System equivalent: MATH
3000
Prerequisites: MAT 207.
Elementary logic; set theory; functions and relations; methods of
proof including mathematical induction and indirect proof.
MAT 265 Discrete Mathematics for Computer
Science
Semester System equivalent: CSCI
2620
Prerequisites: MAT 103 and CS 142
Elementary logic; naive set theory; relations and functions; graphs;
finite automata; Turing machines; formal languages and grammars.
MAT 290 Spirit and Structure of Mathematics (5-0-5)
Semester System equivalent: MATH
2900
Prerequisite: MAT 101
Designed to portray the history, philosophy, and aesthetics of
mathematics and to develop an appreciation of the role of
mathematics. Topics include logic, set theory, problem solving,
number systems, statistics, probability, and geometry.
MAT 295 Topics in Mathematics (1-5)-(0-6)-(1-5)
Semester System equivalent: MATH
2950
Prerequisites: Announced with course.
Special topics of current interest in freshman and sophomore-level
mathematics.
MAT 309 Vector Calculus (5-0-5)
Semester System equivalent:
None
Fall, Spring. Prerequisite: MAT 208.
Vectors in n-dimensional space; vector fields; line and surface
integrals; Green's theorem; the Divergence theorem; Stokes theorem;
change of variables in multiple integrals.
MAT 311 Abstract Algebra (5-0-5)
Semester System equivalent: MATH
3110
Prerequisites: MAT 208, MAT 260.
Elementary properties of integers; groups, rings, and fields;
mappings, homomorphisms, kernels, and quotient structures.
MAT 317 Advanced Linear Algebra (5-0-5)
Semester System equivalent: MATH
3170
Prerequisites: MAT 216, MAT 260.
Abstract vector spaces, linear transformations, eigenvectors and
eigenvalues, diagonalization, inner product spaces, real quadratic
forms.
MAT 321 Probability & Mathematical Statistics (5-0-5)
Semester System equivalent: MATH
3211
Prerequisites: MAT 207, MAT 260 or MAT 265
Data collection, organization, and description; probability; random
variables discrete and continuous probability distributions; Central
Limit Theorem; point and interval estimation; tests of hypotheses;
simple linear regression and correlation.
MAT 322 Probability & Mathematical Statistics II
(5-0-5)
Semester System equivalent: MATH
3222
Prerequisite: MAT 321
Analysis of variance; nonlinear and multiple regression; chi-square
tests for categorical data; nonparametric methods; Bayesian
inference; use of statistical packages to analyze data sets.
MAT 336 Modern Geometry (5-0-5)
Semester System equivalent: MATH
3360
Prerequisites: MAT 208, MAT 260.
An axiomatic approach to the fundamental ideas of Euclidean geometry,
including congruence, similarities, circles, elementary
transformations and constructions; an examination of non-Euclidean
geometries.
MAT 341 Differential Equations I (5-0-5)
Semester System equivalent: MATH
3411
Prerequisite: MAT 208.
First order linear and nonlinear equations; second and higher order
linear equations; applications; the Laplace transform; numerical
solution with emphasis on computer aided solution.
MAT 342 Differential Equations II (5-0-5)
Semester System equivalent: MATH
3412
Prerequisite: MAT 341.
Series solutions; linear and nonlinear first order systems;
applications; numerical methods; boundary value problems;
introduction to Fourier series and partial differential equations.
MAT 346 Mathematical Modeling and Optimization (5-0-5)
Semester System equivalent: MATH
3460
Prerequisite: MAT 321
Design, solution, and interpretation of mathematical models of
problems in thesocial, life and management sciences. Topics chosen
from linear programming, dynamic programming, scheduling theory,
Markov chains, game theory, queueing theory, inventory theory, and
computer based simulation. Various projects are assigned which
require computer software packages for solution.
MAT 353 Numerical Analysis (4-3-5)
Semester System equivalent: MATH
4610
Prerequisites: MAT 207 and CS 142.
Computer arithmetic and numerical error; systems of linear equations;
iterative methods for nonlinear equations; polynomial interpolation;
least squares approximation; numerical integration.
MAT 391 Mathematics for the Elementary School Teacher
(4-3-5)
Semester System equivalent: MATH
3911
Prerequisite: MAT 290 with a grade of ``C" or better.
Mathematics in the K-6 curriculum, with emphasis on appropriate
methods of teaching for understanding through activity-based and
problem-solving experiences. Emphasis on communication and
connections; frequent use of manipulatives to embody concepts in
arithmetic and whole numbers, fractions and decimals; geometry and
measurement. Directed field experience and required laboratory.
MAT 393 Teaching of Middle School/General Mathematics
(4-3-5)
Semester System equivalent: MATH
3932
Prerequisite: MAT 391.
The teaching of traditional topics such as fractions, decimals,
percentage, measurement (especially the metric system), informal
geometry, algebraic structures, probability and statistics. Emphasis
on cooperative learning in an activity-based, problem-solving
environment; incorporation of drill and practice in necessary skills
with appropriate games and laboratory exercises. Directed field
experience and required laboratory.
MAT 400 Putnam Seminar (0-2-1)
Semester System equivalent: MATH
4000
Prerequisites: MAT 208, MAT 260.
A variety of mathematical problems, considered with the aim of
developing problem-solving techniques.
MAT 401/402 Advanced Calculus I, II (5-0-5)
Semester System equivalent: MATH
4011/4022
Prerequisites: MAT 208, MAT 260
The real number system; sequences and series; limits of functions,
the Bolzano-Weierstrass theorem; uniform continuity; the derivative,
the Riemann integral; metric spaces; compactness; sequences of
functions; uniform convergence.
MAT 406 Functions of a Complex Variable (5-0-5)
Semester System equivalent: MATH
4060
Prerequisites: MAT 208
Complex numbers; elementary functions and transformations;
differentiation; analytic functions; integration theory; series;
residue theory; conformal mapping and applications.
MAT 436 Topology (3-0-3)
Semester System equivalent: MATH
4360
Prerequisite: MAT 401
Topological spaces and homeomorphisms; separability; compactness;
connectedness; completeness; metrizability; introduction to homotopy
theory.
MAT 490 Special Topics (1-5)-(0-6)-(1-5)
Semester System equivalent: MATH
5900
Prerequisites: Announced with course.
Special topics of current interest in upper-level mathematics.
MAT 496/497/498 Internship In Mathematics
((0-1)-(12-15)-5)
Semester System equivalent: MATH
4961/4972/4983
Offered by special arrangement. Prerequisite: Permission of the
department head.
Experience, in a variety of mathematical applications suited to the
educational and professional aspirations of the student, under the
direction of the faculty and appropriate off-campus supervisory
personnel. (Open to transient students only with permission of the
Dean of the College of Arts and Sciences at AASU and that of the
appropriate official of the college from which the student comes.)
MAT 516 Theory of Numbers (5-0-5)
Semester System equivalent: MATH
5160
Prerequisites: At least 25 hours of college mathematics at the
calculus level or beyond, including calculus and at least one
proof-oriented course. A survey of topics from number theory to
include: divisibility and congruence; diophantine equations;
distribution of prime numbers, famous unsolved problems,
number-theoretic functions and their applications; Theorems of Fermat
and Euler.
MAT 560 Foundations of Mathematics (5-0-5)
Semester System equivalent: MATH
5600
Prerequisite: MAT 207
Fundamental ideas of axiomatic mathematics, including sets,
relations, functions, algebraic structures, with emphasis on
techniques of writing proofs.
MAT 570 History of Mathematics (5-0-5)
Semester System equivalent: MATH
5700
Prerequisite: At least 25 hours of college mathematics at the
calculus level or higher, including calculus and at least one
proof-oriented course and a college geometry course.
The historical development of mathemtics from its empirical
beginnings to its present state.
MED 550 Teaching Mathematics with Technology (5-0-5)
Semester System equivalent: MAED
5500
Prerequisite: MAT 103
Use of graphing calculators and special computer software to teach
algebra, geometry, advanced algebra, and precalculus.
MED 590 Special Topics in Mathematics Education (5-0-5)
Semester System equivalent: MAED
5900
MED 594 Teaching of Middle School/General Mathematics
(5-0-5)
Semester System equivalent: MAED
5940
Prerequisite: MAT 103.
Problems of teaching traditional topics, such as fractions, decimals,
percentage, measurement, informal geometry, algebraic structures,
probability and statistics. Cooperative learning in an
activity-based, problem-solving environment will be emphasized.
Incorporation of drill and practice in necessary skills with
appropriate games and exercises.
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