Undergraduate Academic Policies
Department and Course Descriptions
Table of Contents
Mathematics and the General College Curriculum |
Pre-Engineering Program |
Mathematics Course Listing
Norwood (Chair), Dr. Taylor
Associate Professors: Dr. Kiu, Mrs.
Assistant Professors: Dr. Williams,
Adjunct Faculty: Mr. Bryant, Dr.
Yang, Mr. Zhang
Mathematics and the
General College Curriculum
Successfully complete MATH 122
or two mathematics courses numbered 111 and above as selected
by the major department (CSC 101 or PHIL 221 may be selected).
Requirements for a Major in
Mathematics (CIP 27.0101)
The candidate must
complete, with a "C" average or better, a minimum of 36 semester hours,
with 18 of the semester hours at the 300 level or above and including
Math 224, 333, 335, 441 and at least one course from Math 271, 273, or
278. Students may receive advanced placement for Math 122 or 223.
Requirements for a Minor in
A student must complete, with
a "C" average or better, 18 semester hours including Math 122, 223, 224
and two additional approved courses above the 224 level.
Requirements for Teacher Licensure
in Mathematics (CIP 13.1311)
A student who desires
licensure for teaching mathematics in the secondary schools must include
in his major, courses in linear algebra, geometry, probability and
statistics, modern algebra, and computer science.
Program (CIP 27.0199)
Campbell University offers a
two year program in pre-engineering. The program has been approved by
the Subcommittee on Engineering Transfer for transfer to the engineering
programs at North Carolina A & T State University, North Carolina State
University, and the University of North Carolina at Charlotte. General
Requirements for Pre-Engineering Program: MATH 122, 223, 224, 273, 337;
CHEM 111, 113; PHYS 251, 252; ENGL 101, 102; PE 111, 185; Electives 21
Listing (MATH 000)
110 Fundamentals of Mathematics (3)
(Credit in Math 110 does not satisfy the General Mathematics
requirement. If a student has credit in any other mathematics course, he
may not enroll in Mathematics 110.) Basic skills are
emphasized-addition, subtraction, multiplication and division of
fractions; rules of exponents; solving linear equations; graphs; "word"
111 College Algebra (3)
(Credit in Math 111 is not
allowed if students have credit in Math 122.) A basic study of logic,
structure, and foundations of algebra. Major topics include functions,
inequalities, equations, roots, radicals and exponents.
112 Trigonometry (3)
A study of trigonometric
functions, derivation of formulas, the solution of right and oblique
triangles with practical applications, solving trigonometric equations,
and verifying trigonometric identities, other topics include vectors,
complex numbers, and logarithms. Prerequisite: A student should be
proficient in algebra and geometry.
118 Mathematics for Liberal Arts(3)
Topics included: symbolic
Logic, truth tables, analyzing arguments, sets and counting,
probability, expected value, sample data, measures of central tendency,
interest, annuities, amortized loans, geometry, matrices, Markov chains,
122 Analytic Geometry and Calculus
Topics included: directed
distance, slope of straight line, equations of a line, angle between two
lines, conic sections, functions of one variable, graphs of functions,
limits, continuity, derivatives, differentials, related rates, maximum
and minimum problems, Rolle's and mean value theorems, integration,
area, properties of the definite integral, and application of the
160 Elementary Statistics (3)
Emphasis on statistical
inference beginning with a study of elementary probability and
continuing to "decision making" through topics that include: mean,
standard deviation, analysis of variance, regression analysis of
variance, regression analysis, and hypothesis testing.
203 Mathematics Principles (3)
A study of strategies to solve
a variety of problems, our numeration system, number theory, geometry,
and measurements. Prerequisites: Math 111, high school geometry and an
elementary/middle grades education major.
204 Geometry for Elementary Teachers (3)
A study of geometry that will be suitable for middle grades, including
basic constructions, paper folding, symmetry, transformational geometry
tessellations, fractals, networks, and four color graphs.
212 Logic (3)
A study of arguments to determine validity. Different types of common
fallacies will be examined and other inconsistencies that cause an
argument to be invalid. Arguments will be written in symbolic for and
checked for validity by truth tables. More complex arguments will be
checked for validity by methods common to logic. Students will be
expected to construct a valid argument in symbolic form.
223 Analytic Geometry and Calculus
differentiation and the integration of logarithmic, exponential,
trigonometric, inverse trigonometric, and rational functions, and other
special forms, approximating definite integral, polar and Cartesian
equations of conic sections, and hyperbolic functions. Prerequisite:
224 Analytic Geometry and Calculus
Topics included: vectors in a
plane, dot product, derivative of vector value functions, arc length,
velocity vector, acceleration vector, unit tangent and normal vectors,
curvature, indeterminate forms, improper integrals, vectors in three
dimensions, cross product, lines in space, surfaces and revolution,
limits of functions of two or more variables, continuity, partial
differentiation, double and triple integrals and series. Prerequisite:
271 Introduction to programming
using C/C++ (3)
An introduction to the basic
concepts of programming using the C/C++.
273 Introduction to PASCAL
An introduction to the basic concepts of programming in PASCAL.
278 Introduction to Java (3)
This course will cover
programming in the Java Language, the language of the Internet. The
course will cover a history of the rapid development of Java as a
computer language for "write once, run anywhere".
331 History of Mathematics(3)
A study of the historical
development of the various branches of mathematics and, of the
contributions of noted mathematicians to the science of mathematics.
333 Linear Algebra (3)
A study of the basic
properties of matrices, properties of determinants, rank of a matrix,
equivalent matrices, inverse of a matrix, vectors and vector spaces,
linear transformations, linear operators, unit and orthogonal
transformations, characteristic equations and roots, minimum polynomial,
bilinear, quadratic and Hermitian forms.
335 Introduction to Probability and
A study is made of
mathematical models of random phenomena, mean and variance of
probability law, law of large numbers, algebra of expectations,
frequency distribution, generating functions, correlation, regression,
analysis of variance, and hypothesis testing. Prerequisite: Math 223.
337 Differential Equations (3)
Topics included: Methods of
solution of first order linear differential equations, higher order
linear differential equations, higher degree differential equations, and
special differential equations; operators; Laplace transforms, and
applications. Prerequisite: Math 223.
340 Discrete Mathematics (3)
This course covers the
following topics: sets, symbolic logic, relations, functions,
mathematical induction, recurrence equations, trees, spanning trees and
376 Introduction to Numerical
Concerned with the practical
solution of problems on computers. Prerequisite: Math 271 or 273,
Co-requisite: Math 224.
441 Introduction to Modern Abstract
A study of the number system,
groups, rings, integral domains, and fields. Prerequisite: Math 122
(shall have junior standing).
443 Topics in Geometry (3)
An integrated course which
includes set theory, logic, a critical study of Euclidean geometry from
modern postulation systems and a comparison of Euclidean geometry to
elliptic, hyperbolic, and projective geometries.
445 Analysis (3)
An introduction to analysis
covering the real and complex number system, basic topology, numerical
sequences and series, continuity, differentiation, and the Riemann
453 Methods of Teaching Mathematics
A study of methods of teaching
mathematics in the secondary school. A course in general methods is also
501 Topics in Math for Elementary
Selected topics in mathematics
including algebra, geometry, probability, trigonometry. For Elementary
(K-4; 4-6; 6-9) Education majors only.
510 Topics in Geometry (3)
Axiomatic systems, finite and
incidence geometry, neutral geometry, parallel postulate with
implications, Euclidean geometry, analytic and transformational
geometry, non-Euclidean geometries.
522 Number Theory (3)
The course will include
divisors and prime numbers, congruencies, Euler's o-function,
Diophantine equations, Pythagorean triplets, quadratic reciprocity, and
535 Probability and Statistics (3)
Topics from probability,
random variables, expectation, random sampling, test of hypotheses and
540 Introduction to Topology (3)
A study of the basic concepts
of general topological space including such topics as compactness,
product spaces, connectedness, metric spaces and continuous functions.
545 Real Variables(3)
A study of the real numbers
and real valued functions covering the topics: direct products,
relations, orderings, sequences, open and closed sets, measurable sets
and functions, Riemann integral, Legesgue integral, monotone functions,
absolute continuity, matrix spaces, and topological spaces.