Mathematics Courses
The Mathematical Sciences Department offers
two programs, one leading to the Bachelor of
Arts degree in Mathematics and the other
leading to the Bachelor of Science in Education.
The B.A. in Mathematics enables students to
receive basic preparation for a career in their
choice, such as scientific research, engineering,
other science areas, and service in industry and
government. In all cases, students receive a
sound preparation for graduate study in the field
of mathematics.
The B.S. in Education – Mathematics focuses on a
concentration in mathematics while the student
earns state certification to teach mathematics on
the middle, junior high, or senior high school
levels.
Students in for either program should consult with
their department advisor for current requirements
and course offerings.
MATHEMATICS (BACHELOR OF ARTS)
Curriculum Requirements:
Note: Any mathematics courses taken prior to
Calculus I do not count as credit toward
graduation requirements for the Bachelor of
Science in mathematics. All MAT or CIS courses
must have a grade of “C” or better .
MATHEMATICS/SECONDARY EDUCATION
CERTIFICATION (BACHELOR OF SCIENCE)
The mathematics education curriculum offers a
concentration in education and psychology
courses necessary for attaining secondary
certification in mathematics.
Note: Any mathematics courses taken prior to
Calculus I do not count as credit toward
graduation requirements for the Bachelor of
Science in mathematics. All MAT or CIS courses
must have a grade of “C” or better in secondary
education.
Course Descriptions:
MAT 001, Basic Mathematics (3). Terminology and
operations associated with the whole numbers,
integers, fractions, decimals, percent, ratios, rates
and proportions, problem-solving,
and introduction to algebra.
MAT 002, Elementary Algebra (3). The language
of algebra: from arithmetic to algebra, signed
numbers, real numbers, linear equations and
inequalities, polynomials, factoring, rational
expressions, graphing linear equations and
inequalities.
MAT 104, Finite Mathematics (3). Prerequisite:
MAT 002 with a minimum grade of “C” or
placement by examination. MAT 104, Survey of
College Mathematics Sets, number theory, real
number system, algebraic techniques, plane
geometry, and an introduction to probability and
statistics.
MAT 105, Mathematics for Teachers I (3).
Prerequisite: MAT 001 with a minimum grade of
“C” or placement by examination.
This course examines the mathematics content
on which elementary and special education
teachers of mathematics at any level need to
know in order to teach K-8 mathematics and to
address the curriculum standards in elementary
school mathematics. The course surveys many
relevant topics including sets and logic, number
systems, structure of algorithms, number theory,
properties of integers, rational numbers and real
numbers and introduction to geometry and
measurement. A great emphasis is placed on
problem solving and reasoning within each of
these topics. This is a required course for all
elementary and special education majors.
MAT 106, Mathematics for Teachers II (3).
Prerequisite: MAT 105.
This course is a continuation of MAT 105, and
provides more topics relevant to teaching
Elementary Education. Topics include algebra,
full treatment of geometry and measurement,
probability and statistics, graphing, and further
emphasis on problem solving reasoning. This is a
required course for all Elementary Education
majors.
MAT 111, Intermediate Algebra (3).
Prerequisite: MAT 001, MAT 002, or Permission of
Professor
Solving and graphing linear equations and
inequalities, systems of linear equations, factoring,
rational expressions, exponents and radicals, and
solving and graphing quadratic equations.
MAT 130, Algebra for Business (3).
Prerequisite: MAT 111.
An elementary mathematical foundation course
for students in business and economics. Topics
covered include: equations, factoring, rational
expressions, exponents, factoring, rational
expressions, exponents and radicals, functions,
mathematics of finance, graphs and matrices.
Applications in business and economics are
stressed throughout the course.
MAT 140, Calculus for Business (3).
Prerequisite: MAT 111 and 130.
Limit and continuity, differentiation and
integration with abundant applications from the
behavioral sciences, the business area, and the
social sciences.
MAT 150, Elementary Functions (4).
Prerequisite: MAT 111.
This course covers a review of the prerequisite
skills from algebra that are required for success in
Calculus. It is assumed that students taking this
course have successfully completed an
elementary and intermediate level algebra
course. Course topics include: Functions polynomial,
rational, exponential, logarithmic,
trigonometric; graphs; trigonometric identities,
equations and formulas.
MAT 160, Calculus I (4).
Prerequisite: MAT 150.
Review of topics from elementary functions.
Limits of functions and continuity are introduced.
Differentiation of algebraic functions, implicit
differentiation, extrema, curve sketching and
other applications; integration of algebraic
functions and applications of the integral.
MAT 170, Calculus II (4).
Prerequisite: MAT 160.
Differentiation and integration of logarithmic
exponential, trigonometric and inverse
trigonometric functions, hyperbolic functions,
techniques of integration, improper integrals,
conic sections, plane curves in parametric forms
and polar forms, infinite series and Taylor
expansion.
MAT 202, Foundations of Mathematics (3)
Discrete Mathematics (3).
Prerequisite: MAT 150.
Set theory, mapping and functions,
mathematical induction, logic and logic circuits,
relations on sets, permutations, combinations,
graph theory, and theory of equations.
MAT 203, Linear Algebra I (3).
Prerequisite: MAT 202
Linear equations and matrices, real vector
spaces, inner product spaces, linear
transformations and matrices, and determinants.
MAT 205, Elementary Statistics (3).
Prerequisite: MAT 111.
Topics covered include: organization of data,
measure of central tendency and dispersion,
probability, probability and distributions, sampling
distributions, estimation, chi-square
distribution,and correlation.
MAT 221, Differential Equations (3).
Prerequisite: MAT 170.
Introduction to differential equations, first order
differential equations and applications.
Differential equations with variable coefficients
Laplace transform, and systems of linear
differential equations.
MAT 225, Probability and Statistics (3).
Prerequisite: MAT.
Moments of distribution and statistics, moment-generating
functions, estimation and confidence
intervals, tests of statistical hypotheses, analysis of
variance, correlation and regressions, multivariate
distributions, and nonparametric methods.
MAT 252, Introduction to Abstract Algebra (3).
Prerequisite: MAT 202.
Ideas of sets, relations and mappings, operations
and group theory leading to the fundamental
theory of group homorphism, properties of rings,
integral domains and fields, including the integers
and the rational numbers and polynomials.
MAT 255, Mathematical Statistics II (3).
Prerequisite: MAT 341.
Moments of distributions and statistics; integral
joint density functions; moment generating
function; stochastic processes. Statistical
inference; estimation, deciding between
hypotheses; regression; and analysis of variance.
MAT 260, Calculus III (4).
Prerequisite: MAT 170.
Vectors in plane space, functions of more than
one variable, vector values functions, partial
derivatives, maxima and minima, multiple
integration with topics from vector analysis,
Green’s theorem, surface integrals, divergence
theorem, and Stoke’s theorem.
MAT 303, Linear Algebra II (3).
Prerequisite: MAT 203
Linear dependence and sub-spaces,
Eigen values and Eigen vectors, orthogonality of vectors
and matrices, complex scalars, and solving large
linear systems.
MAT 331, Numerical Analysis (3).
Prerequisite: MAT 321 and CIS 101.
Numerical integration and numerical solutions of
differential equations, numerical methods in linear
algebra, matrix inversion, estimation of
characteristic roots, and error propagation and
stability.
MAT 335, Elementary Number Theory (3).
Prerequisite: MAT 202, MAT 170.
Selected topics in number theory and types of
proofs of use to mathematics and education
majors; a study of divisibility, the division
algorithm, Euclid’s algorithm, prime numbers,
congruence, number theoretic functions, Fermat
and Wilson theorems, and quadratic reciprocity.
MAT 350, Methods in Secondary School
Mathematics (3).
Secondary school mathematics curricula,
teaching strategies, teaching aids, evaluative
techniques, special problems in mathematics
instruction, motivation, reading and study skills,
and classroom management.
MAT 361, History of Mathematics (3).
Prerequisite: MAT 201, 202, 203, 260, 262.
The historical development of mathematics from
classical civilization in Egypt, Babylon, and
Greece; men, topics, and problems.
MAT 362, Modern Geometry (3).
Prerequisite: MAT 202
An overview of geometry in the light of modern
trends with attention to axiomatic structure,
including an introduction to hyperbolic and
elliptical geometry.
MAT 401, Introduction to Real Analysis (3).
Prerequisites: MAT 301 and 321.
A rigorous development of the methods of the
calculus, including limits, continuity, derivatives,
sequences, and Reimann Intergral, series of
functions, and uniform convergence.
MAT 411, Introduction to Complex Variables (3).
Prerequisites: MAT 203 and 351.
The complex numbers, elementary functions and
their mappings, boundary value problems,
contour mapping, Cauchy’s theorem, residues,
and power series.
MAT 418, Student Teaching and Professional
Practicum (12).
Prerequisite: Permission of advisor.
Students spend 30 clock hours a week during the
entire seventh or eighth semester in observation
of teaching, in supervised teaching, and in
seminar, where they are introduced to a
teacher’s responsibilities in the classroom and in
the community.
MAT 451, Introduction to Topology (3).
Prerequisites: MAT 262 and 401.
Basic notions of point-set topology, surfaces,
invariants, topological spaces, equivalence,
connectedness, completeness, and separation.
Introduction to differential topology.
MAT 461, Applied Mathematics (3).
Prerequisite: MAT 301.
Principles and basic styles of thought in solving
physical problems with mathematical methods.
Specific content depends upon the students.
MAT 499, Independent Study (3).
Prerequisite: Permission of advisor.
Directed study of a project selected from a
specified area of the field. Details and
documentation required.
DEPARTMENT
OF MATHEMATICAL SCIENCES
BACHELOR OF SCIENCE IN MATHEMATICS/SECONDARY EDUCATION
CURRICULUM GUIDE
COURSE | CREDIT | COURSE | CREDIT |
FIRST YEAR FALL | FIRST YEAR SPRIN | ||
RPS 211 INTRO PSYCHOLOGY | 3 | HEN 114 SPEE | 3 |
HEN 112 ENGLISH I | 3 | MAT 251 CALCULUS II | 4 |
MAT 201 CALCULUS I | 4 | RSW 210 INTRO SOCIOLOGY | 3 |
100 NATURAL SCIENCE | 3 | ETR 111 PHIL. FOUND. OF EDUC. | 3 |
GAC 100 FRESHMAN SEMINAR | 2 | REC 111 HEALTH | 2 |
REC PHYSICAL ACTIVITY | 1 | REC PHYSICAL ACTIVITY | 1 |
16 | 16 | ||
SOPHOMORE FALL | SOPHOMORE SPRING | ||
HEN113 ENGLISH II | 3 | MAT 301 CALCULUS III | 4 |
100 NATURAL SCIENCE II | 3 | SPS 212 EDUC. PSYCHOLOGY | 3 |
MAT 225 PROB & STATISTICS I | 3 | HUMANITIES ELECTIVE | 3 |
MAT 202 FOUND. OF MATH | 3 | MAT 203 LINEAR ALGEBRA I | 3 |
CIS 101 PROGRAMMING I | 3 | AFRICAN AMERICAN HERITAGE | 3 |
15 | 16 | ||
JUNIOR FALL | JUNIOR SPRING | ||
SPH 100 PHYSICAL SCI. I | 3 | MAT 345 HISTORY OF MATH | 3 |
EDU 212 EDUC. TECH. | 3 | EDU 313 TEST & MEASUREMENT | 3 |
MAT 262 MODERN GEOMETRY | 3 | HUMANITIES ELECTIVE | 3 |
MAT 335 NUMBER THEORY | 3 | MAT 321 DIFF. EQUATIONS | 3 |
FOREIGN LANGUAGE I | 3 | RPS 313 ADOLESCENT PSYCH | 3 |
MAT 252 ABSTRACT ALGEBRA | 3 | ||
18 | 15 | ||
SENIOR FALL | SENIOR SPRING | ||
ADVANCED MATH ELECTIVE | 3 | MAT 418 STUDENT TEACHING & PRACTICUM | 12 |
MAT 350 METHODS OF MATH | 3 | ||
PREPROFESSIONAL SEMINAR | 3 | 12 | |
FOREIGN LANGUAGE II | 3 | ||
12 | TOTAL | 120 |
GRADUATION REQUIREMENTS
A MINIMUM 2.0 GRADE POINT AVERAGE AND A MINIMUM OF 120 HOURS OF CREDIT,
EXCLUDING ANY
DEVELOPMENTAL COURSES, ARE REQUIRED FOR GRADUATION.
DEPARTMENT
OF MATHEMATICAL SCIENCES
BACHELOR OF ARTS IN MATHEMATICS
CURRICULUM GUIDE
COURSE | CREDIT | COURSE | CREDIT |
FIRST YEAR FALL | FIRST YEAR SPRING | ||
RSW210 INTRO SOCIOLOGY | 3 | HEN114 SPEECH | 3 |
HEN112 ENGLISH I | 3 | MAT251 CALCULUS II | 4 |
MAT201 CALCULUS I | 4 | SOCIAL SCIENCE ELECTIVE | 3 |
SLF110 GENERAL BIOLOGY I | 4 | NON MATH ELECTIVE | 3 |
GAC100 FRESHMAN SEMINAR | 2 | REC111 HEALTH | 2 |
REC PHYSICAL ACTIVITY | 1 | REC PHYSICAL ACTIVITY. | 1 |
17 | 16 | ||
SOPHOMORE FALL | SOPHOMORE SPRING | ||
HEN113 ENGLISH II | 3 | MAT301 CALCULUS III | 4 |
SPY211 PHYSICS I | 4 | SPY212 PHYSICS II | 4 |
HUMANITIES ELECTIVE I | 3 | HUMANITIES ELECTIVE II | 3 |
MAT202 FOUND. OF MATH | 3 | MAT203 LINEAR ALGEBRA I | 3 |
CIS101 PROGRAMMING I | 3 | CIS 102 PROGRAMMING II | 3 |
16 | 17 | ||
JUNIOR FALL | JUNIOR SPRING | ||
HUMANITIES ELECTIVE LIT I | 3 | MAT345 HISTORY OF MATH | 3 |
ADV. MATH ELECTIVE | 3 | ADV. MATH ELECTIVE | 3 |
MAT252 ABSTRACT ALGEBRA | 3 | HUMANITIES ELECTIVE.. LIT. II | 3 |
MAT331 NUMERICAL ANALYS | 3 | MAT 321 DIFFERENTIAL EQUATIONS | 3 |
MAT 335 NUMBER THEORY | 3 | ||
12 | 15 | ||
SENIOR FALL | SENIOR SPRING | ||
ADV. MATH ELECTIVE | 3 | FOREIGN LANGUAGE II | 3 |
MAT225 PROB.& STATISTICS | 3 | ADV. MATH ELECTIVE | 3 |
FOREIGN LANGUAGE I | 3 | ADV. MATH ELECTIVE | 3 |
NON-MATH ELECTIVE | 3 | NON MATH ELECTIVE | 3 |
ADV. MATH ELECTIVE | 3 | 12 | |
15 | TOTAL | 120 |
GRADUATION REQUIREMENTS
A MINIMUM 2.0 GRADE POINT AVERAGE AND A MINIMUM OF 120 HOURS OF CREDIT,
EXCLUDING ANY
DEVELOPMENTAL COURSES, ARE REQUIRED FOR GRADUATION.