Mathematics

Course Descriptions - 2006-07

MAT 100 – Basic Mathematics
(1–2) F,S,U
Review of arithmetic and algebra: number
systems, operation with signed numbers,
fractions, decimals and percents,
exponents, radicals, operations with
algebraic expressions, factoring, linear
equations, solutions of word problems.
Two credits during regular semesters
and one credit during Summer Institute.
Admission by Mathematics Placement
Test.

MAT 104 – Intermediate Algebra
(3) F,S
Operations with polynomials, solution
of equations and verbal problems, exponents
and radicals, quadratic equations,
systems of linear equations, graphing
techniques. Mathematics 104 may not be
taken for credit after receiving a C or
better grade in Mathematics 151 or
above. Prerequisites: Mathematics 100,
or satisfactory performance in
Mathematics Placement Test administered
by mathematics department, or
permission of instructor.

MAT 107 – Introduction to Mathematics
(3) F,S
Basic principles and techniques of mathematics.
May include theory of sets,
logic, number theory, geometry, probability
and statistics, consumer mathematics.
Emphasis on unity of thought
and consistency of approach to problem
solving. History and relevance of mathematics
for the growth of civilizations.
Prerequisite: completion of mathematics
requirement in component one of core.

MAT 112 – Basic Statistics
(3) F,S
For non-mathematics majors.
Probability theory topics, binomial distribution,
normal distribution, descriptive
statistics, frequency distribution,
measures of central tendency, hypothesis
testing. Confidence intervals, correlation,
and prediction. Prerequisite: completion
of mathematics requirement in
component one of core. Students may
not also take for credit Psychology 211,
Economics 241, or Sociology 211.

MAT 131 – Plane Trigonometry
(3) IR
Trigonometric functions, identities,
related angles, degree and radian measure,
graphs, compound and multiple
angles, equations, inverse functions,
oblique triangles, complex numbers,
DeMoivre’s Theorem. Prerequisite: competence
in algebra at intermediate level
or permission of instructor.

MAT 143 – Mathematical Analysis for Business and Economics I
(3) F
For business and economics majors.
Topics include algebra, analytic geometry,
applications, elements of linear programming,
and mathematics of finance. Prerequisites:
Mathematics 104, or satisfactory
performance in Mathematics
Placement Test administered by
mathematics department, or permission
of instructor.

MAT 144 – Mathematical Analysis for Business and Economics II
(3) S
Continuation of Mathematics 143.
Topics include functions in business and
economics, fundamentals of differential
and integral calculus with selected applications.
Prerequisite: Mathematics 143.

MAT 151 – Pre-Calculus
(3) F,S
Elementary functions and their graphs
including polynomial, rational, exponential,
logarithmic and trigonometric functions,
quadratic curves, and introduction
to analytic geometry. Prerequisites:
Mathematics 104, or satisfactory performance
in Mathematics Placement
Test administered by mathematics
department, or permission of instructor.

MAT 201 – Calculus I
(3) F,S
Review of analytic geometry and
trigonometric functions. Limits, derivatives,
maxima and minima, related rates,
graphs, differentials, mean value theorem.
Prerequisite: Mathematics 151 or
satisfactory performance in calculus
readiness test administered by mathematics
department.

MAT 202 – Calculus II
(3) S
Indefinite integration, definite integrals
and applications; logarithmic, exponential,
hyperbolic functions and their
inverses, l’Hopital’s rules; improper integrals
and methods of integration.
Prerequisite: Mathematics 201.

MAT 301 – Calculus III
(3) F
Vectors, parametric equations, polar
coordinates, infinite series, elementary
differential equations. Prerequisite:
Mathematics 202.

MAT 302 – Calculus IV
(3) O
Analytic geometry of three dimensions,
functions of more than one variable,
partial differentiation, multiple integrals,
line and surface integrals. Prerequisite:
Mathematics 301.

MAT 303 – History of Mathematics
(3) Y
Study of mathematical concepts in historical
perspective. Lives, character, and
contributions of the mathematicians and
the relation of mathematics to other sciences.
Prerequisite: Mathematics 202 or
permission of the instructor.

MAT 305 – Fundamental Structures of Mathematics
(3) F
Logic, sets, relations, functions, cardinal
numbers, algebraic systems. Emphasis
on concepts and methods of proof.
Prerequisite: Mathematics 202 or permission
of instructor.

MAT 313 – Mathematics: A Heuristic Approach
(3) Y
Historical and developmental perspectives.
Problem solving and pattern
recognition. Motivational techniques.
Practical applications, emphasis on
knowledge and understanding of subject
matter. Diagnostic tools to detect and
correct common misconceptions.
Assessment and statistical interpretation
of errors. Prerequisite: Mathematics 305
or Computer Science 201 and Computer
Science 301 or permission of the
instructor.

MAT 317 – Ordinary Differential Equations
(3) O
First and second order differential equations,
linear equations of higher order,
power series solutions. Existence of solutions.
Systems of differential equations.
Applications of differential equations.
Prerequisite: Mathematics 301.

MAT 321 – Probability and Statistics
(3) O
Mathematical models of random experiments,
discrete and continuous random
variables. Bivariate and multivariate distributions.
Prerequisite: Mathematics 301.

MAT 322 – Mathematical Statistics
(3) IR
Random sampling, The Central Limit
Theorem, estimation of parameters, confidence
intervals, tests of hypotheses,
least squares, regression, and contingency
tables. Prerequisite: Mathematics 321.

MAT 331 – Linear Algebra
(3) O
Systems of linear equations, matrices,
determinants, vectors, vector spaces and
subspaces, linear independence, basis
and dimension, orthonormal bases,
Gram-Schmidt process, eigenvalues and
eigenvectors, diagonalization, linear
transformations, applications.
Prerequisite: Mathematics 202 or permission
of instructor.

MAT 334 – Introduction to Abstract Algebra
(3) O
Elementary theory of groups, rings,
domains, and fields, including the integers
and polynomial rings and their
applications. Quaternians and the Cayley
numbers. Prerequisites: Mathematics
305 with grade of C or better, or permission
of instructor.

MAT 341 – Number Theory
(3) IR
Topics include prime numbers, greatest
common divisors, congruences,
Wilson’s, Fermat’s and Euler’s
Theorems, polynomial congruences,
perfect numbers, primitive roots,
indices, quadratic residues, Legendre
symbol, quadratic reciprocity law.
Prerequisite: Mathematics 305 or permission
of instructor.

MAT 351 – Euclidean and non- Euclidean Geometries
(3) IR
Euclidean geometry examined as a system
of carefully formulated axioms, precise
definitions, and rigorous proofs of
theorems in plane and solid geometry.
History, foundation, and applications of
the non-Euclidean geometries:
Lobatchevskian and Riemannian.
Prerequisite: Mathematics 305 or permission
of instructor.

MAT 390 – Independent Study
(1–3) IR

MAT 400 – Topics in Higher Mathematics
(3) IR
In-depth discussion of current problems
and developments in particular branch
of mathematics. Content may vary
according to specialty of instructor. May
be repeated once. Permission of instructor
required.

MAT 401 – Real Analysis I
(3) O
Foundations of the real number system,
functions and sequences, limits, continuity
and differentiability. Prerequisites:
Mathematics 302 and 305 or permission
of instructor.

MAT 402 – Real Analysis II
(3) IR
Integration, series, uniform convergence.
Additional topics may include: transformations
in Euclidean spaces, Fourier
series, metric spaces and principles of
general topology. Prerequisite:
Mathematics 401.

MAT 413 – Mathematics: A Heuristic Approach: Practicum
(4) Y
Students apply the principles learned in
Mathematics 313 in a Mathematics 100
classroom, participating in planning,
preparation, presentation, and assessment.
Discussion and analysis. Daily
journal required. Prerequisite:
Mathematics 313. By invitation only.

MAT 484 – Complex Variables
(3) IR
Analytic functions. Harmonic functions.
Cauchy’s Theorem, Cauchy Integral formula,
series representations of analytic
functions, calculus of residues, conformal
mappings, applications.
Prerequisite: Mathematics 401.

MAT 486 – Numerical Analysis I
(3) IR
Iteration, interpolation, and approximation.
Numerical solutions of equations and systems
of equations. Numerical differentiation
and integration. Prerequisites: Mathematics 302
and Computer Science 101, or permission of
instructor.

MAT 487 – Numerical Analysis II
(3) IR
Difference equations. Numerical solutions
of differential equations. Approximations by
spline functions. Least squares approximation.
Prerequisite: Mathematics 486.

MAT 490 – Independent Study
(1–3) IR


Note: The figure in parentheses following the title of the course indicates the credit hours per term. Courses that extend through two terms are shown as follows: (3, 3). Courses that are one term only are shown by: (3). Courses with variable credit are shown with the range of credit available, for example: (1-6).

Letters appearing after course credit hours in this section are explained as follows:
S=Spring
IR=irregularly
F=Fall
U=Summer Session
Y=at least once each academic year Check schedule for Winter Session
O=every other year

The College reserves the right to cancel any course if registration does not justify continuance and to make changes in curricula at any time. 

 

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