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Paul Feit, Associate Professor of Mathematics.
Dr. Paul Feit is an associate professor and the area Coordinator
for the Computer Science and Mathematics Department. Dr. Feit
received his Bachelors degree from Harvard University and his
Ph.D. Princeton University (1985).
Administered by the Department of Science and
Mathematics within the College of Arts and Sciences.
Degree Requirements
The minimum total credits required for a B.S. in Mathematics
is 120.
General
Education
Complete the requirements shown in the General
Education Requirements section on pages 51-52 of this
Catalog. It is recommended that the course in physical and life science
form a two semester sequence. Include the following specified courses:
MATH 2413
MATH 2414
Computer Use
Mathematics majors must demonstrate a basic use of computers
through completion of a course such as one of the following:
COSC 1335, COSC 1430 or COSC 2320.
Major Requirements
In addition to General Education and Computer Use requirements,
a Bachelor of Science in Mathematics requires (1) an English
course (of index 2000 or higher), (2) NTSC 4301 and (3) NTSC
4311. Also, a B.S. in Mathematics requires a minimum of eight
courses ( at least 24 semester hours) beyond the level of
Calculus.
Plans of study in mathematics have a common core of courses
including:
| MATH 2413, 2414, 2415 |
Calculus and Analytic Geometry I, II and
III |
| MATH 3301 |
Statistics |
| MATH 3305 |
Mathematical Reasoning |
| MATH 3310 |
Linear Algebra |
| MATH 3315 |
Algebraic Structures |
| MATH 3360 |
Intermediate Analysis |
The remaining three advanced courses required to complete
the major are selected in consultation with the student’s
advisor. Each course must be beyond Calculus. The final program
must contain at least 18 semester hours at the 3000 and 4000
level. The choices should address the student’s educational
objectives and may, with prior approval of the faculty, include
appropriate quantitative courses in operations research, econometrics,
and computer science. No more than 45 hours of mathematics
may be applied toward the 120 semester hour minimum required
for a degree.
Mathematics majors at U. T. Permian Basin are required to
complete a minor of at least 18 semester hours, 9 of which
must be of junior or senior level. The choice of the minor
is up to the student, but it is recommended that the choice
also be made to facilitate the student’s educational
objectives.
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Teacher Certification Considerations
Mathematics Majors
Mathematics majors seeking certification in 4-8 levels should
take MATH 3308, Theory of Numeration as one of the advanced
mathematics electives. Those candidates in certification at
either the 4-8 or 8-12 level must take MATH 3350, Geometry.
All certification students are strongly encouraged to elect
MATH 4325, Number Theory.
TExES/ExCET Requirements
Candidates for TExES/ExCET tests in Mathematics must have
completed the courses listed for each area below or equivalent
courses in their teaching fields.
Mathematics 8-12: MATH 2413, 2414, 2415, 3301, 3305, 3310,
3315 and 3350.
Mathematics 4-8: MATH 2412, 2413, 2414, 3308, 3301,
3305, 3315, and 3350.
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Minor in Mathematics
| Lower Level: |
|
|
| MATH 2413 |
Calculus and Analytic Geometry I |
4 |
| MATH 2414 |
Calculus and Analytic Geometry II |
4 |
| |
|
|
| Upper Level: |
|
|
| MATH 3305 |
Mathematical Reasoning |
3 |
| |
|
|
| One from the following: |
|
|
| MATH 2415 |
Calculus and Analytical Geometry III |
4 |
| MATH 2320 |
Differential Equations |
3 |
| MATH 3301 |
Statistics |
3 |
| MATH 3360 |
Intermediate Analysis |
3 |
| |
|
|
| One from the following: |
|
|
| MATH 3310 |
Linear Algebra |
3 |
| MATH 3315 |
Algebraic Structures |
3 |
| COSC 3312 |
Discrete Mathematics |
3 |
| |
|
|
| One more upper level math class: |
3 |
| |
Total: |
20-21 |
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Students minoring in Mathematics must have at least 9 credit
hours at the upper level and at least 20 credit hours total,
as minor electives.
Faculty in Mathematics may allow transferred credits to count
towards a major or a minor in Mathematics. The number of credit
hours required, at upper level or in total, cannot be reduced
except by academic petition.
Course Listing
Five of the following courses are typical entrance level
mathematics courses for freshmen. MATH 1332 and MATH 1333
are designed for general education. MATH 2412 is the normal
course to be taken for science and mathematics students unless
they are qualified to start the calculus. MATH 1324 starts
the mathematics sequence addressing the needs of business
and social science students. MATH 1314 is a standard College
Algebra course and begins a sequence for students seeking to
teach elementary school mathematics without a BA in mathematics.
MATH 0398 Beginning Algebra (3)
This course content is the study of basic algebra, including
operations of algebraic expressions, polynomial factoring,
algebraic fractions, linear equations with one and two variables,
inequalities and exponents.
MATH 0399 Fundamentals of Mathematics (3)
Intended to prepare students for entry into MATH 1332, MATH
2412 or MATH 1324. This is a non credit course including introductory
and intermediate algebra and geometry. Repeatable, but does
not count towards a degree. FS
MATH 1314 College Algebra (3)†
Study of quadratics, polynomial, rational, logarithmic, and
exponential functions; systems of equations; progressions;
sequences and series; and matrices and determinants.
Prerequisite: Two years of high school algebra, one year of
high school geometry, and satisfactory score on placement
examination or completion of MATH 0399. FS
MATH 1324 Applications of Discrete Mathematics (3)†
Mathematics for modeling in the social and behavioral sciences.
Topics include algebra, linear equations in two variables,
and exponential and logarithmic functions. Other topics are
chosen by the instructor. Course emphasizes application to
social science and economics. Prerequisite: Two years of
high school algebra, one year of high school geometry and
a satisfactory score on placement examination or completion
of MATH 0399. FS
MATH 1325 Applications of Continuous Mathematics
(3)†
This course introduces differential calculus and its
applications to optimization. Applications are drawn
from social science and economics. Prerequisite: MATH 1324. FS
MATH 1332 Contemporary Mathematics I (3)†
Modern applications of mathematics including graph theory,
optimization, data organization, and social decision models.
Prerequisite: Two years of high school algebra, one year of
high school geometry and satisfactory score on placement examination
or completion of MATH 0399. FS
MATH 1333 Contemporary Mathematics II (3)†
Modern application of mathematics including probability, statistics
and classical and modern geometry. Brief introduction to computers
and computation. Prerequisite: Two years of high school algebra,
one year of high school geometry and satisfactory score on
placement examination or completion of MATH 0399. FS
MATH 1350 Foundations of Elementary Mathematics I (3)†
Concepts of sets, functions, numeration systems, number theory;
and properties of the natural numbers, integers, rational, and
real number systems with an emphasis on problem-solving and
critical thinking. Prerequisite: Completion of MATH 1314 with a
grade of C or better.
MATH 2350 Foundations of Elementary Mathematics II (3)
Concepts of geometry, probability, and statistics, as well
as applications of the algebraic properties of real numbers
to concepts of measurement with an emphasis on problem-solving
and critical thinking. The course is designed specifically for
students who seek middle grades (4-8) teacher certification.
Prerequisite: Completion of MATH 1350 with a grade of C or
better, and MATH 1314.
MATH 2412 Precalculus (4)†
College algebra (sets, functions, relations, logic), trigonometry
(circular functions, logarithms and exponential functions),
and analytic geometry (standard form conic sections). Prerequisite:
Two years of high school algebra, one year of high school
geometry and satisfactory score on placement examination or
completion of MATH 0399. FS
MATH 2413 Calculus I (4)†
Differentiation of functions of one variable, introduction
to integration. Prerequisite: MATH 2412 or satisfactory score
on placement examination. FS
MATH 2414 Calculus II (4)†
Continuation of MATH 2413. Integration of transcendental functions,
techniques of integration, sequences and series. Prerequisite:
MATH 2413 FS
MATH 2415 Calculus III (4)†
Continuation of MATH 2414, Vector and multivariate calculus,
transformations of coordinates. Green’s and Stokes’
Theorem. Prerequisite: MATH 2414. S
MATH 3301 Statistics (3)
Basic concepts and applications of probability, descriptive
and inferential statistics, and linear regression. Computer
laboratory assignments. Prerequisite: MATH 2414. F
MATH 3305 Mathematical Reasoning (3)
Logic methods of proof, set theory, relations, functions,
cardinality. Algebraic properties of the real, rational, and
integer number systems. Prerequisite: MATH 2414. FS
MATH 3308 Theory of Numeration (3)
This course introduces theoretical issues behind the
standard conventions for writing natural numbers, fractions,
and real numbers. Topics include basic set theory, arithmetic
as counting, uniqueness of prime factorization, and infinite
decimal notation. Prerequisite: MATH 3305 or permission of
the instructor.
MATH 3310 Linear Algebra (3)
Vectors, vector spaces, matrices, linear transformations,
eigenvalues, eigenvectors, canonical forms and their applications.
Prerequisite: MATH 2414. F
MATH 3315 Algebraic Structures (3)
Sets, groups, rings and fields, with applications to the ring
of integers and polynomial rings. Prerequisite: MATH 3305
or permission of instructor. S
MATH 3320 Differential Equations (3)
Ordinary differential equations including power series, Laplace
transform methods and systems of linear differential equations
with applications. Special emphasis on existence and uniqueness
of solutions. Prerequisite: MATH 2414
MATH 3350 Topics In Geometry (3)
Cross ratio, elementary transformations, Euclidean constructions,
introduction to non-Euclidean geometry, and other topics in
modern geometry. Prerequisite: MATH 3305. S
MATH 3360 Intermediate Analysis (3)
Limits, continuity, uniform continuity, derivatives, integrals
and mean value theorems. Prerequisite: MATH 3305. F
MATH 4300 History of Computation (3)
History of mathematics from prehistoric to the present with
emphasis on techniques and devices for computation. Prerequisite:
MATH 2414.
MATH 4325 Number Theory (3)
Basic properties of integers, including primes, unique factorization,
divisibility congruences, Euler’s phi function, Diophantine
equations and other selected topics. Prerequisite: MATH 3305.
MATH 4370 Complex Variables (3)
Complex analysis including analytic functions, power series,
residues and conformal mappings. Prerequisite: MATH 3360.
MATH 4389 Selected Topics (3)
Undergraduate courses which will be offered only once or will
be offered infrequently or which are being developed before
a regular listing in the catalog. May be acceptable for graduate
credit.
MATH 4390 Theory of Computation (3)
Turing machines, Church’s thesis, recursive functions,
computability and computational complexity. Prerequisite:
COSC 3312 or MATH 3315.
MATH 4391 Contract Study (3)
Advanced independent study or research (equivalent to senior-level
course). These courses will not count for graduate credit.
† Course fulfills general education requirements.
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