| 001 Developmental Mathematics:
Arithmetic |
3 hours |
|
| Elements of basic theory, mathematical systems,
and numeration, plus basic concepts of algebra and
geometry presented to prepare the student for Math
002. Individual study and laboratory work required.
|
| |
| 002 Developmental Mathematics:
Algebra |
3 hours |
|
| A developmental course in introductory algebra.
Topics include the language of algebra, adding and
subtracting rational numbers, multiplying and dividing
rational numbers, solving equations in one variable,
solving linear inequalities in one variable, polynomials,
factoring, and algebraic fractions. Prerequisite:
A score of 40 or higher on the numerical skills
portion of the ASSET test or grade of "C"
or higher in MTHF 001. |
| |
|
| A review of mathematical topics selected from
arithmetic, algebra, and geometry to prepare students
for the Pre-Professional Skills Test (PRAXIS I)
- does not satisfy math requirement for any associate
or bachelor degree. PRAXIS I is a requirement for
Admission to a Program in Teacher Education. |
| |
| 102 College Algebra
|
3 hours |
|
| A study of algebraic equations and inequalities,
graphs of lines and curves, functions, zeros, exponential
and logarithmic functions. Prerequisites:
One of the following: 19 or higher on the ACT Math,
500 or higher on SAT Math; Accuplacer Elementary
Algebra score of 84 or above; grade of "C"
or higher in MTHF 002; or a grade of "C"
or higher in MTHF 002. |
| |
| 103 Plane Trigonometry
|
3 hours |
|
| Trigonometric functions of acute angles of right
triangles, arbitrary angles, and real numbers; degree
measure and radian measure; applications including
the law of sines and law of cosines; graphs of trig
functions; basic identities; identities based upon
addition laws; proving identities; inverse trig
functions; trig equations; applications of trig
to complex numbers. Prerequisites: 19 or higher
on ACT Math, 460 or higher on SAT Math; Accuplacer
Elementary Algebra score of 84 or above; grade of
"C" or higher in MTHF 002. |
| |
| 110 The Nature of Math
|
3 hours |
|
| A study of topics from different branches of mathematics,
emphasizing those that are useful and/or high-interest.
Topics will be selected from algebra, finance, fractal
geometry, graph theory, history of math, logic,
number theory, probability, and statistics. Prerequisites:
One of the following: 19 or higher in ACT Math,
460 or higher on SAT Math;Accuplacer Elementary
Algebra score of 84 or above; grade of "C"
or higher in MTHF 002. |
| |
|
| A four hour course in Calculus. Emphasis is placed
on the notion of limit and of limiting processes.
The derivative and the integral are defined and
applications are studied. Topics covered include
functions, limits and continuity, derivatives, and
the integral. Prerequisites: Grade of "C"
or higher in MATH 102 and MATH 103 or a score of
23 or higher on ACT Math or consent of division
chairperson. |
| |
|
| Inverse functions; exponential and logarithmic
functions; inverse trigonometric functions; hyperbolic
functions; L'Hospital's Rule; standard techniques
of integration; Riemann sums and the Riemann integral;
polar coordinates; parametric equations; arc length
and speed; the area of a surface of revolution;
the centroid of a curve; indeterminate forms; improper
integrals. Prerequisites: Grade of "C"
or higher in MATH 202. |
| |
| 226 Problem Solving
for Elementary and Middle School Teachers
|
2 hours |
|
| Provides the content to aid the Elementary and
Middle education student with problem solving techniques,
including the theory of sets, symbolic logic, properties
and operations of integers, and inequalities. |
| |
| 227 Geometry for Elementary
and Middle School Teachers |
2 hours |
|
| Provides the content to aid the Elementary and
Middle education student with the terminology of
geometry, the basic constructions of geometry, the
metric system, and the study of perimeter, area
and volume. |
| |
| 230 Euclidean Geometry
for College Students |
3 hours |
|
| Fundamental concepts of Euclidean plane and solid
geometry; study of polygons, circles, constructions
and proofs. |
| |
| 256 Probability and
Statistics I |
3 hours |
|
| Basic concepts of probability and ways of thinking
needed to solve problems in probability are related
to ideas and areas of application of statistics.
Topics include the nature of statistics, organizing
data, descriptive measures, basic probability concepts,
the normal distribution, the sampling distribution
of the mean, confidence intervals for one population
mean, and hypothesis testing for one population
mean. Prerequisites: ACT Math score of 21 or
higher or a grade of “C” or higher in
MTHF 002 or consent of division chairperson. |
| |
| 303 Modern Algebra
|
3 hours |
|
| A first course in abstract algebra designed to
emphasize the nature of the subject and the techniques
of rigorous proof characteristic of modern mathematics.
Topics include groups, basic group properties, subgroups,
cyclic groups, Lagrange’s theorem, cosets,
permutations, normal subgroups, homomorphisms, quotient
groups, rings, ring homomorphisms and ring isomorphisms,
integral domains, maximal and prime ideals, fields,
polynomials and applications. Prerequisite:
Grade of "C" or higher in MATH 202. |
| |
|
| Topics covered include polar coordinates; parametric
equations; conic sections; sequences; series; tests
for series convergence or divergence; Taylor series,
Maclaurin series; vectors in space; dot product;
cross product; lines and planes in space; limits,
continuity, derivatives and integrals of space curves;
lengths of space curves; curvature; velocity and
acceleration in space; limits and continuity of
functions of several variables; partial derivatives.
Prerequisite: MATH 207. |
| |
| 310 College Geometry
|
3 hours |
|
| A survey course of different geometries: finite,
transformation, modern Euclidean, projective and
topology. Many are explained using the basic idea
of transformations. Others are studied by the axiomatic
method. The student will gain skill in problem solving
and geometry. Prerequisites: MATH 202 and MATH
230 or consent of division chairperson. |
| |
| 315 Linear Algebra
|
3 hours |
|
| A first course in linear algebra designed to emphasize
the nature of the subject and its application to
other fields. Topics covered include linear systems,
matrices, matrix operations, determinants, vectors
and vector spaces, linear transformations and matrices,
Eigenvalues and Eigenvectors, linear programming
and applications. Prerequisite: MATH 102. Corequisite:
MATH 202. |
| |
| 321 History of Mathematics
|
1 Credit |
|
| A survey of significant developments in mathematics
beginning with ancient Greece and continuing the
modern times. Emphasis will be placed on the contributions
of the Pythagoreans, Plato, Aristotle, Euclid, and
on the development of algebra and the calculus. |
| |
| 327 Math Methods for
Elementary and Middle School Teachers
|
3 hours |
|
| Math teaching methods for the Elementary and Middle
education student. Topics include math manipulatives,
calculator and computer technology, guided discovery
learning, Standards of the National Council of Teachers
of Mathematics (NCTM), planning and criticizing
math instruction. Concepts from statistics and probability
will be developed. Prerequisites: Passing score
on the Fractions and Decimals Mastery Test given
by the Math Department. Corequisites: MATH 226 and
MATH 227 must either be completed prior to MATH
327 or be taken concurrently with MATH 327. |
| |
| 330 Discrete Mathematics
|
3 hours |
|
| A study of topics from the field of discrete mathematics.
Topics will be selected from symbolic logic, truth
tables, De Morgan’s laws, graph theory, Hamilton
circuits and paths, Euler circuits and paths, trees,
graph colorings, the Pigeonhole Principle, recurrence
relations, fractals, linear programming, and computer
algorithms. Prerequisite: Grades of “C”
or higher in MATH 102 and CSCI 101 or consent of
division chairperson. |
| |
| 356 Probability and
Statistics II |
3 hours |
|
| Concepts of probability and ways of thinking needed
to solve problems in probability are related to
ideas of application in statistics. Topics include
conditional probability, the multiplication rule
and independence, Bayes’s Rule, Counting Rules,
Discrete Random Variables, Inferences for two population
means, inferences for population standard deviations,
inferences for population proportions, inferential
methods in regression and correlation and analysis
of variance. Prerequisite: A grade of “C”
or higher in MATH 256 or consent of Division Chairperson. |
| |
| 406 Theory of Equations
|
3 hours |
|
| Complex numbers; fundamental properties of polynomials;
solutions of quadratic, cubic, and quartic equations;
numerical methods of solution; introductory Galois
theory. Connections to modern algebra. Prerequisites:
Grade of "C" or higher in MATH 102, MATH
202, MATH 303. |
| |
| 408 Differential Equations
|
3 hours |
|
| Introduction; first order differential equations;
linear equations of higher order; power series solutions;
linear systems of differential equations; numerical
methods. Prerequisites: Grade of "C"
or higher in MATH 207; Grade of "C" or
higher in MATH 308 is recommended. |
| |
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