Mathematics Course Descriptions
Disclaimer: The information
contained here is not official.
Official information is contained in your AASU Catalog.
Contents page Quarter System Course Descriptions Degree requirements
Checksheets: Option 1 Option 2 Option 3
Sample curricula: Option 1 Option 2 Option 3
MATH 1111 College Algebra (3-0-3)
Quarter System equivalent: MAT 101
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. 
MATH 1113 Pre-Calculus Mathematics
(3-0-3)
Quarter System equivalent: MAT 103
Prerequisite: MATH 1111, 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.
MATH 1950 Applied Mathematics for Non-Science Majors
(3-0-3)
Quarter System equivalent: MAT 195
Prerequisite: MATH
1111
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.
MATH 1161 Calculus I (3-0-3)
Quarter System equivalent: MAT 206
Prerequisite: MATH 1113, 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.
MATH 2072 Calculus II (3-0-3)
Quarter System equivalent: MAT
207
Prerequisite: MATH 1161.
Techniques and applications of integration; transcendental functions;
indeterminate forms; improper integrals; parametric equations and
polar coordinates.
MATH 2083 Calculus III (3-0-3)
Quarter System equivalent: MAT
208
Prerequisite: MATH 2072.
Sequences and series; Taylor's theorem; vectors, curves, and surfaces
in three-dimensional space; partial differentiation; multiple
integrals.
MATH 2160 Linear Algebra (3-0-3)
Quarter System equivalent: MAT
216
Prerequisite: MATH 2072.
Linear systems and matrices; vector spaces; linear independence, rank
of a matrix; linear transformations; determinants; introduction to
eigenvalues and eigenvectors; diagonalization; applications.
MATH 2200 Elementary Statistics (3-0-3)
Quarter System equivalent: MAT
220
Prerequisite: MATH 1111
Measures of central tendency and dispersion; probability
distributions; inferences concerning means and proportions; goodness
of fit; correlation; linear regression.
MATH 2201 Computational Methods in Statistics (3-0-3)
Quarter System equivalent: MAT
225
Prerequisite: MATH 2200
Statistical programming with Minitab and SAS software, including data
analyses involving ANOVA, multiple regression, and nonparametric
statistics.
MATH 2900 Spirit and Structure of Mathematics (3-0-3)
Quarter System equivalent: MAT
290
Prerequisite: MATH 1111
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.
MATH 2950 Topics in Mathematics (1-3)-(0-6)-(1-3)
Quarter System equivalent: MAT
295
Prerequisites: Announced with course.
Special topics of current interest in freshman and sophomore-level
mathematics.
MATH 3000 Introduction to Mathematical Proof (3-0-3)
Quarter System equivalent: MAT
260
Prerequisites: MATH 2072.
Elementary logic; set theory; functions and relations; methods of
proof including mathematical induction and indirect proof.
MATH 3110 Abstract Algebra (3-0-3)
Quarter System equivalent: MAT
311
Prerequisites: MATH 2083, MATH
3000.
Elementary properties of integers; groups, rings, and fields;
mappings, homomorphisms, kernels, and quotient structures.
MATH 3170 Advanced Linear Algebra (3-0-3)
Quarter System equivalent: MAT
317
Prerequisites: MATH 2160, MATH
3000.
Abstract vector spaces, linear transformations, eigenvectors and
eigenvalues, diagonalization, inner product spaces, real quadratic
forms.
MATH 3211 Probability & Mathematical Statistics
(3-0-3)
Quarter System equivalent: MAT
321
Prerequisites: MATH 2072
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.
MATH 3222 Probability & Mathematical Statistics II
(3-0-3)
Quarter System equivalent: MAT
322
Prerequisite: MATH 3211
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.
MATH 3360 Modern Geometry (3-0-3)
Quarter System equivalent: MAT
336
Prerequisites: MATH 2083, MATH
3000.
An axiomatic approach to the fundamental ideas of Euclidean geometry,
including congruence, similarities, circles, elementary
transformations and constructions; an examination of non-Euclidean
geometries.
MATH 3411 Differential Equations I (3-0-3)
Quarter System equivalent: MAT
341
Prerequisite: MATH 2083.
First order linear and nonlinear equations; second and higher order
linear equations; applications; the Laplace transform; numerical
solution with emphasis on computer aided solution.
MATH 3422 Differential Equations II (3-0-3)
Quarter System equivalent: MAT
342
Prerequisite: MATH 3411.
Series solutions; linear and nonlinear first order systems;
applications; numerical methods; boundary value problems;
introduction to Fourier series and partial differential equations.
MATH 3460 Mathematical Modeling and Optimization (3-0-3)
Quarter System equivalent: MAT
346
Prerequisite: MATH 3211
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.
MATH 3900 Special Topics in Applied Mathematics (3-0-3)
Quarter System equivalent:
None
Prerequisite: Announced with course.
Special topics of current interest in upper-level applied
mathematics.
MATH 3911 Mathematics for the Elementary School Teacher
(2-3-3)
Quarter System equivalent: MAT
391
Prerequisite: MATH 2900 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.
MATH 3932 Teaching of Middle School/General Mathematics
(2-3-3)
Quarter System equivalent: MAT
393
Prerequisite: MATH 3911.
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.
MATH 4000 Putnam Seminar (0-2-1)
Quarter System equivalent: MAT
400
Prerequisites: MATH 2083, MATH
3000.
A variety of mathematical problems, considered with the aim of
developing problem-solving techniques.
MATH 4011/4022 Advanced Calculus I, II (3-0-3)
Quarter System equivalent: MAT
401/402
Prerequisites for MATH 4011: MATH 2083, MATH
3000
Prerequisite for MATH 4022: MATH 4011
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.
MATH 4060 Functions of a Complex Variable (3-0-3)
Quarter System equivalent: MAT
406
Prerequisites: MATH 2083
Complex numbers; elementary functions and transformations;
differentiation; analytic functions; integration theory; series;
residue theory; conformal mapping and applications.
MATH 4360 Topology (3-0-3)
Quarter System equivalent: MAT
436
Prerequisite: MATH 2083, MATH
3000
Topological spaces and homeomorphisms; separability; compactness;
connectedness; completeness; metrizability; introduction to homotopy
theory.
MATH 4610 Numerical Analysis (3-0-3)
Quarter System equivalent: MAT
353
Prerequisites: MATH 2072 and CSCI 1302.
Computer arithmetic and numerical error; systems of linear equations;
iterative methods for nonlinear equations; polynomial interpolation;
least squares approximation; numerical integration.
MATH 4961/4972/4983 Internship In Mathematics (0-6-3)
Quarter System equivalent: MAT
496/497/498
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 Arts & Sciences at AASU and that of the appropriate
official of the college from which the student comes.)
MATH 5160 Theory of Numbers (3-0-3)
Quarter System equivalent: MAT
516
Prerequisites: MATH 3000
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.
MATH 5600 Foundations of Mathematics (3-0-3)
Quarter System equivalent: MAT
560
Prerequisite: MATH 2072
Fundamental ideas of axiomatic mathematics, including sets,
relations, functions, algebraic structures, with emphasis on
techniques of writing proofs.
MATH 5700 History of Mathematics (3-0-3)
Quarter System equivalent: MAT
570
Prerequisite: MATH 3000
The historical development of mathemtics from its empirical
beginnings to its present state.
MATH 5900 Special Topics (1-3)-(0-4)-(1-3)
Quarter System equivalent: MAT
490
Prerequisites: Announced with course.
Special topics of current interest in upper-level mathematics.
MAED 5500 Teaching Mathematics with Technology (3-0-3)
Quarter System equivalent: MED
550
Prerequisite: MATH 1113
Use of graphing calculators and special computer software to teach
algebra, geometry, advanced algebra, and precalculus.
MAED 5900 Special Topics in Mathematics Education (3-0-3)
Quarter System equivalent: MED
590
MAED 5940 Teaching of Middle School/General Mathematics
(3-0-3)
Quarter System equivalent: MED
594
Prerequisite: MATH 1113
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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