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Mathematics Courses
MATH 090: Mathematics
(3 hours)
Fundamental arithmetic operations; basic algebraic processes;
linear equations in one and two unknowns; polynomials; factoring
trinomials; solutions of quadratic equations. (A remedial course
designed for students who are not prepared to take college-level
mathematics courses. Offered for credit/no credit only.)
MATH 100: Introduction to Algebra
(4 hours)
Prerequisite: Departmental placement or successful completion
of MATH 090
Review of basic algebraic processes; relations and functions;
linear equations and inequalities; graphing of linear and quadratic
functions; ratio and proportion; complex numbers; quadratic
equations; exponential and logarithmic functions. (A course meeting five days
a week designed for students who are not prepared to take MATH 101.
A student may not receive credit for both MATH 100 and MATH
101.)
MATH 101: College Algebra
(3 hours)
Prerequisite: Satisfactory performance on placement test or
successful completion of MATH 090
Relations and functions; linear equations and inequalities;
graphing of linear and quadratic functions; ratio and proportion;
complex numbers; quadratic equations; exponential and logarithmic
functions; trigonometric functions; solutions of triangles. (No
credit is given for this course if a student has satisfactorily
completed MATH 100, MATH 103 or above.)
MATH 102: Finite Mathematics
(3 hours)
Prerequisite: Satisfactory performance on placement test or
successful completion of MATH 090
Algebra of sets; permutations and combinations; probability;
elementary statistics; systems of linear equations and linear
inequalities; matrix algebra; linear programming, and mathematics
of finance. Emphasis is given to learning practical applications.
(A course of interest to business and social science majors. This
course is required for students seeking an elementary education
endorsement to teach Pre-K-6 level.)
MATH 111: Pre-calculus I
(3 hours)
Prerequisite: Satisfactory performance on placement test or
successful completion of MATH 100 or MATH 101 (Grade of C or better)
Algebra review; Cartesian plane; circles and the distance formula; functions and graphs; symmetry; domain and range; lines and linear applications; parabolas and quadratic applications; higher order polynomials. (This course may not be used along with MATH 100/101 to satisfy the six hour general education requirement.)
MATH 112: Pre-calculus II
(3 hours)
Prerequisite: Satisfactory performance on placement test or
successful completion of MATH 111 (Grade of C or better) or permission of instructor
Rational functions; inverse functions; exponents and logs; degrees and radians; arc length and sector area; trig functions on triangles and on the circle; trig graphs; trig identities; law of sines and cosines. Logarithm, exponent and trig applications are heavily emphasized.
MATH 115: Applications of Mathematics
(3 hours)
Prerequisite: Satisfactory performance on placement test or successful completion of MATH 100 or MATH 101, or MATH 111 (grade of C or better)
An applications based course in mathematics including topics in logic, personal and business finance, statistical reasoning, probability, and mathematical modeling. Emphasis will be given to problem solving and real world setting.
MATH 118: Elementary Probability and Statistics
(4 hours)
Prerequisite: MATH 101 or MATH 111 or permission of
instructor
Rules of probability; random sampling; binomial and normal
distributions; Chi-Square, T- and F-distributions; hypotheses
testing; linear regression and correlation.
MATH 194, 195: Special Topics
(1-3, 1-3 hours)
Prerequisite: Permission of instructor
MATH 204: Calculus I
(4 hours)
Prerequisite: MATH 112 with a C or better or permission of
instructor
Limits and continuity; differentiation of algebraic functions;
derivative as a rate of change; maxima and minima; integration of
algebraic functions; definite integrals and applications.
MATH 205: Calculus II
(4 hours)
Prerequisite: MATH 204 with a C or better or permission of instructor
Differentiation and integration of exponential, logarithmic and
trigonometric functions; polar coordinates; parametric equations;
arc length; area of surface of revolution; volume by parallel cross
section and shell method; indeterminate forms and improper
integrals.
MATH 301: Euclidean Geometry
(3 hours)
Prerequisite: MATH 102 or MATH 112 or MATH 118
An application-oriented study of Euclidean geometry for students
whose interests are in teaching K-8. Topics that will be emphasized
include: foundations of geometry; introduction to proofs;
triangles; parallel lines and polygons; ratio, proportion and
similarity; right triangles and the pythagorean theorem; circles;
and solid geometry. (MATH 301 does not satisfy the general
education requirement or count toward a major or minor in
Mathematics.)
MATH 302: Problem Solving
(3 hours)
Prerequisite: MATH 102 or MATH 112 or MATH 118
A study of topics from the foundations of mathematics, with
emphasis on problem solving. Topics will include: steps in problem
solving in mathematics; elementary set theory; elementary logic and
mathematical proofs; elementary number theory; properties of
integers and properties of rational numbers; lines and linear
functions; combinatorics and probability; elementary statistics;
sequences; and systems of linear equations.(MATH 302 does not
satisfy the general education requirement or count toward a major
or minor in mathematics.)
MATH 303: Linear Algebra for Teachers
(3 hours)
Prerequisite: MATH 204 with a C or better or permission of
instructor
An application oriented study of linear algebra for students whose
interests are in teaching K-8. Topics that will be emphasized include:
systems of equations; vector spaces; subspaces; linear dependence and
independence; linear transformations; matrices and matrix algebra;
determinants; and eigenvalues and eigenvectors. (MATH 303 does not count
toward a major or minor in mathematics.)
MATH 305: History of Mathematics for Teachers
(3 hours)
Prerequisite: MATH 100 or MATH 101 or MATH 111
An application oriented study of the history of mathematics for students
who interests are in teaching K-8. Emphasis is given to mathematicians
and their contributions with a focus on various applications of their
work. (Math 305 does not count toward a mjor or minor in mathematics.)
MATH 306: Calculus III
(4 hours)
Prerequisite: MATH 205 with a C or better or permission of instructor
Infinite series; lines and planes in space; vector-valued
functions; functions of several variables; partial derivatives;
gradients; maxima and minima; multiple integration.
MATH 311: Ordinary Differential Equations
(3 hours)
Prerequisite: MATH 205 with a C or better or permission of instructor
A study of differential equations of the first order, linear
differential equations and their applications, and other selected
topics.
MATH 312: Introduction to Geometry
(3 hours)
Prerequisite: MATH 331 with a C or better or permission of instructor
The history and development of Euclidean and non-Euclidean
geometries. The axiomatic method and techniques of proof are
emphasized.
MATH 313: Introduction to Linear Algebra
(3 hours)
Prerequisite: MATH 204 with a C or better or permission of instructor
Vector spaces; subspaces; linearly dependent and independent
subsets; linear transformations; matrices; determinants;
eigenvalues and eigenvectors.
MATH 315: History of Mathematics
(3 hours)
Prerequisite: MATH 204 or permission of instructor
Emphasis is given to mathematicians and their contributions;
various trends of mathematics of different eras. (A course of
interest and benefit to teachers and prospective teachers of
mathematics. MATH 315 does not satisfy the general education requirement)
MATH 320: Introduction to Number Theory
(3 hours)
Prerequisite: MATH 331 with a C or better or permission of instructor
Unique factorization theorem; linear Diophantine equations; linear
congruences; Fermat's and Wilson's theorems; divisors of an
integer; perfect numbers; Euler's theorem; numbers of other bases;
quadratic congruences and reciprocity. (A course of interest and
benefit to prospective teachers of mathematics.)
MATH 325: Probability and Statistics I
(3 hours
Prerequisite: MATH 205 with a C or better or permission of instructor
Probability in finite, discrete and general spaces; discrete and
continuous random variables; conditional and independent joint
distributions; confidence intervals; testing hypotheses; regression
and correlation; sampling methods.
MATH 331: Introduction to Mathematical Proofs
(3 hours)
Prerequisite: MATH 205 with a C or better or permission of instructor
Writing mathematical proofs. Exercises in set theory, number
theory. Includes set operations, equivalence relations, induction,
completeness property, Archimedean property and the Fundamental
Theorem of Arithmetic.
MATH 335:Abstract Algebra I
(3 hours)
Prerequisite: MATH 331 with a C or better or permission of instructor
Groups; cyclic groups; normal subgroups; Lagrange's theorem;
permutation groups; group homomorphisms; Cayley's theorem;
elementary theory of rings and fields.
MATH 338: Introduction to Numerical Methods
(3 hours)
Prerequisite: MATH 205 with a C or better or permission of instructor
The theory and techniques of numerical computation involving
interpolation methods; solution of systems of equations and methods
of solving ordinary differential equations. Practice in the use of
modern computers and programming.
MATH 340: Multivariable Calculus
(3 hours)
Prerequisites: MATH 313 and MATH 306
Geometry of Euclidean space, cylindrical and spherical coordinate systems, functions from Rn to Rm, limits and continuity, partial derivatives, Jacobean matrix, double and triple integrals, vector fields, divergence and curl, parametric equations of curves and surfaces, line and path integrals. Additional topics such as surface integrals, Green's and Stokes' theorems will be covered as time permits.
MATH 344: Advanced Calculus I
(3 hours)
Prerequisite: MATH 331 with a C or better or permission of instructor
The real number system; differential and integral calculus of one
variable; uniform continuity; Taylor's theorem; infinite sequences
and series; uniform convergence; real-valued functions of several
variables.
MATH 387, 388: Cooperative Education Project I
(1-6, 1-6 hours)
Students can obtain information from the Department Chair.
MATH 394, 395, 396: Special Topics
(1-3 hours)
Prerequisite: MATH 205 and permission of instructor
Advanced undergraduate mathematics topics.
MATH 408: Applied Statistics
(3 hours)
Prerequisite: MATH 118/325 or permission of
instructor
Design of experiments; hypothesis testing; multivariate statistical
analysis; analysis of variance and covariance; regression analysis;
nonparametric statistics. Problems in the student's field of
interest are solved using SPSS on the digital computer.
MATH 410: Set Theory
(3 hours)
Prerequisite: MATH 205 or permission of instructor
Axiomatic development of sets that includes operations on sets;
relations; order; the axiom of choice; Zorn's lemma;
Schroeder-Bernstein theorem.
MATH 426: Probability and Statistics II
(3 hours)
Prerequisite: MATH 325 with a C or better
A continuation of MATH 325.
MATH 436: Abstract Algebra II
(3 hours)
Prerequisite: MATH 335 with a C or better
Structure of finite groups; ideal theory of commutative rings;
Galois fields.
MATH 445: Advanced Calculus II
(3 hours)
Prerequisite: MATH 344 with a C or better
A continuation of MATH 344.
MATH 487, 488: Cooperative Education Project II
(1-6, 1-6 hours)
Students can obtain information from the Department Chair.
MATH 490: Mathematics Seminar (Capstone Course)
(1 hour)
Prerequisites: MATH 306, Junior or Senior Status, declared
major and approval of Department Chair.
This course should be taken concurrently with an approved advanced
mathematics course. Study of a topic related to the material in the
advanced course will be required along with completion of a project
in consultation with the instructor. The student will be required
to present a summary of the project, both orally and in writing,
demonstrating critical thinking and problem-solving ability.
MATH 495, 496: Special Topics
(1-3 hours)
Prerequisite: MATH 306 and permission of instructor
Advanced undergraduate mathematics topics.
MATH 497: Independent Study
(1-3 hours)