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# Description of Mathematics

 MAT 001 Pre-College Mathematics I NC

Intermediate Algebra I: Real numbers, exponents, graphing
and solving linear equations and inequalities, systems of linear
equations, multiplication, division and factoring of
polynomials. Word problems. A good course for overcoming
math anxiety through problem solving.

 MAT 002 Pre-College Mathematics II NC

Intermediate Algebra II: Simplifying and solving rational
equations, conic sections, relations and functions, exponential
and logarithmic functions. Word problems. Prerequisite:
MAT 001 or consent of instructor.

 MAT 105 Finite Mathematics 3

Introduction to problem solving with linear models, matrices,
linear programming, notions underlying probability,
interpretation of graphs, and compound interest. (AS VII)

 MAT 106 Calculus for the Non-Sciences I 3

Fundamentals of calculus for students in business, or social or
behavioral sciences. Credit not allowed if student already has
credit for MAT 111 or MAT 115. (AS VII)

 MAT 109-110 Calculus with Review I and II 3

For science and mathematics majors. Calculus, with topics
from precalculus. Logarithms, exponentials, trigonometric
functions, limits, differentiation, related rates, max-min
problems, anti-differentiation, definite integral. No credit
allowed if student has credit for MAT 111 or MAT 115. (AS
VII)

 MAT 111 Calculus I 4

For physical science, pre-engineering, and mathematics
majors. Functions of single variable. Functions, limits,
differentiation, continuity, graphing, natural logarithm and
exponential functions, related rates, max-min problems, mean
value theorem, anti-differentiation, definite integral. (AS
VII)

 MAT 112 Calculus II 4

Applications of integration. Inverse trigonometric functions,
integration techniques, improper integrals, l'H™pital's rule,
sequences, series, convergence tests, Taylor's theorem,
applications. (AS VII) Prerequisite: MAT 111 with
minimum grade C- for majors in Chemistry, Computer
Science, Mathematics, Physics, and Engineering.

 MAT 115 Calculus for Business I 4

First of two semesters of mathematics for business students.
Differentiation/integration of functions of one variable.
Applications: concepts, examples, and problems in economics
and business. (AS VII) Prerequisite: 3 1/2 years of high
school mathematics.

 MAT 116 Calculus for Business II 4

Continuation of MAT 115. Extends concepts covered in
MAT 115 to functions of several variables. Includes matrix
algebra, systems of linear equations, linear programming, and
game theory. (AS VII) Prerequisite: MAT 115 or consent of
instructor.

 MAT 117 (PHY223A) Calculus I Integrated with General Physics I 6

For physical science, pre-engineering, and mathematics
majors. Coordinate systems, vector and matrix algebra,
quadratic curves, scalar and vector functions of one variable,
limits, continuity, differentiation, the definite integral, system
of physical units, motions in space, Newton’s laws, linear
momentum. 5 hours lecture and 1 1/2 hrs lab per week. (AS I
and VII)

 MAT 118 (PHY223B) Calculus II Integrated with General Physics I 7

Integrated continuation of MAT 117/PHY 223A.
Fundamental theorem of calculus, relative and absolute
extrema, curve sketching, parametric and polar equations, arc
length, volume of solids, techniques of integration, power
series, angular momentum, torque, work, energy. 8 hours
lecture and 1 1/2 lab per week. (AS I and VII)
Prerequisite: MAT 117/PHY 223A with minimum grade C –.

 MAT 121 The Nature of Mathematics 3

Liberal arts mathematics course. Problem solving techniques,
deductive reasoning in mathematics, some modern topics, and
quantitative thinking. (AS VII)
Prerequisite: 3 years of high school math or equivalent;
Sophomore standing or higher.

 MAT 131 Statistics and Computers 3

A first course for majors in social or health sciences.
Descriptive statistics, calculators, computer programs, and
introduction to inferential statistics. (AS VII) Prerequisite:
High school intermediate algebra.

 MAT 141 Inferential Statistics and Computers for Science 4

Elementary probability theory, descriptive statistics,
hypothesis testing, estimation, correlation and regression. The
computer will be used with one of the standard statistical
packages. (AS VII) Prerequisite: 3-1/2 years of high school
mathematics.

 MAT 150 Excursions in Modern Mathematics 3

Liberal arts course emphasizing applications of math in the
social sciences. Covers topics such as voting theory, decisions
made by groups, measurement of political power. (AS VII)
Prerequisite: 3 years of high school mathematics or
equivalent.

 MAT 161 Statistics For Lawyers 3

Liberal arts mathematics course, teaching the basics of
probability and statistics with many applications taken from
modern court cases. Emphasis is on statistical analysis and
decision making. Contains computer component and
significant writing component. Prerequisite: 3-1/2 years of
high school mathematics.

 MAT 181 Symmetry 3

Liberal arts course exploring the mathematical world of
geometry and symmetry. Measurement, billiards, polygons and
polyhedra, tilings and wallpaper patterns, spirals and natural
growth. (AS VII) Prerequisite: 3 years of high school
mathematics or equivalent.

 MAT 191 Introduction to Discrete Mathematics 4

Fundamental topics with computer science applications. Sets
and logic, propositional and predicate calculus, elements of
combinatorics and counting, elementary discrete probability,
functions and relations, graphs. Prerequisite: 3-1/2 years of
high school mathematics.

 MAT 211 Calculus III 4

Continuation of MAT 111-112. Analytic geometry of 3-space
and calculus of functions of several variables. Prerequisite:
MAT 112 with minimum grade of C –.

 MAT 219 Linear Algebra 4

Vector spaces and inner product spaces. Linear
transformations and matrices. Eigenvectors, eigenvalues, and
and quadric surfaces. Prerequisite: MAT 112 or consent of
the instructor.

 MAT 222 Differential Equations 4

Introduction to the theory and applications of ordinary
differential equations. Prerequisite: MAT 211 with minimum

 MAT 230 Bridge to Abstract Mathematics 4

Transition from calculus to upper division courses: logic and
methods of proof; set theory; relations, orders, and functions;
number systems; cardinality. Prerequisite: MAT 112 with
minimum grade of C –, or consent of the instructor.

 MAT 301 History of Mathematics 3

Development and interrelations of major areas of mathematics,
from ancient to modern times. Emphasis on both
historical context and mathematical content. Mathematics as
cultural heritage. Prerequisite: MAT 111-112.
2004-2005 only

 MAT 311 Abstract Algebra I 4

Introduction to the basic structures of abstract algebra; groups,
rings, fields. Prerequisite: MAT 230 and MAT 219 with

 MAT 312 Abstract Algebra II 3

Continuation of MAT 311. Selected topics from rings,
integral domains, field extensions, and Galois theory.
Prerequisite: MAT 311.
2004-2005 only

 MAT 313 Number Theory 3

Divisibility, prime numbers, numerical functions, congruencies,
MAT 311 or permission of instructor.
2003-2004 only

 MAT 321 Real Analysis I 4

Advanced study of differentiation and integration of
functions. Prerequisite: MAT 211, 230, 219 with minimum
grades of C –; or MAT 211, 230 and consent of instructor.

 MAT 322 Real Analysis II 3

Continuation of MAT 321. Selected topics from functions of
one or several variables. Prerequisite: MAT 321 with
2003-2004 only

 MAT 331 Introduction to Modern Geometry 3

Axioms for geometry and their consequences: independence
of the parallel postulate. Rudiments of hyperbolic geometry.
Geometric transformations. Prerequisite: MAT 230.
2003-2004 only

 MAT 335-336 Mathematical Analysis for Physicists 4-4

Theory and applications of infinite series. Fourier series,
Green's functions. Fourier integrals, vector calculus, linear
algebra, partial differential equations, and complex variables.
Prerequisite: MAT 222 or consent of instructor.

 MAT 341 (CSC 341) Numerical Analysis 3

The methods used to obtain numerical solutions of functional,
integral, and differential equations. Prerequisite: An
elementary knowledge of computer programming and
MAT 219.
2004-2005 only

 MAT 351-352 Probability and Statistics 3-3

Introduction to the mathematical aspects of modern
probability theory and the theory of statistics. Prerequisite:
MAT 211.

 MAT 353 Regression Analysis 3

Linear regression and correlation. Covariance, residual sum of
squares, residual variance, correlation coefficient, tests of
significance for correlation coefficient and for regression
coefficients. Non-linear regression. Prerequisite: MAT 351-
352 or consent of instructor.
2003-2004 only

 MAT 354 Experimental Design and Statistical Computing 3

Analyzing data; one-way/two-way blocking; chi-square,
goodness of fit. Statistical computing package; Monte-Carlo
simulation-subset selection, central limit theorem; residual
plots. Prerequisite: MAT 351-352 or permission of instructor.
2003-2004 only

 MAT 365 Logistic Regression 3

Statistical analysis of dichotomous data. Univariate and
multivariate cases are covered. Applied problems solved on
the computer. Prerequisite: MAT 352 or ECO 256.
2004-2005 only

 MAT 370 Topics in Statistics 3

Prerequisite: MAT 352 or permission of instructor.

 MAT 400 (PHY 400) Math/Physics Reading Group 1

Study of a book on recent developments in math and science.
Book subject varies. May be taken more than once.
Prerequisite: By permission.

 MAT 411 Topology 3

An introduction to topology, stressing concrete examples
including surfaces. Point-set, geometric, and algebraic
topology with interconnections and applications.
Prerequisite: MAT 230 or permission of instructor.
2004-2005 only

 MAT 416 Differential Geometry 3

Curves in the plane and 3 space: Frenet formulas,
isoperimetric inequalities. Basic elements of surface theory.
Curvature and mean curvature. Gauss’s Theorema Egregium.
Rigidity questions. Prerequisite: MAT 321. 2003-2004 only

 MAT 421 Complex Analysis 3

Complex numbers, analytic functions and mappings. Cauchy-
Riemann equations, harmonic functions, Cauchy's theorem,
integral formula and inequalities. Power series, residues,
singularities and zeros, Rouch’s Theorem. Prerequisite: MAT
321 or permission of the instructor.
2004-2005 only

 MAT 498 Internship in Mathematics 1-3