TWU Home |
Math & Computer Science
HOME | |
A-Z Site map |
Search the TWU site |
Campus Map
Mathematics
Undergraduate Courses
MATH 1013.
Introduction to Mathematics. (MATH 1332) For liberal arts students:
topics from set theory, logic, mathematical systems, number
theory, and algebra. Prerequisite: High School Algebra
and Geometry. Three lecture hours a week. Credit:
Three hours. CORE
MATH 1023. Introduction to Mathematics.
(MATH 1333)
Topics from geometry, probability, consumer mathematics, and
statistics. Prerequisite: High School Algebra and Geometry. Three
lecture hours a week. Credit: Three hours. CORE
MATH 1113. Fundamentals of Algebra. May not
be used to satisfy any mathematics requirement and hours earned
will not count toward any graduation requirement. May not be used
for credit on any degree. Basic algebraic operations, linear
equations and inequalities, polynomials, rational expressions,
factoring, exponents, and radicals, quadratic equations.
Prerequisite: Consent of department. Three lecture hours a week.
Credit: Three hours.
MATH 1123. Transition to College Mathematics.
May not be used to satisfy any mathematics requirement and hours
earned will not count toward any graduation requirement. May not be
used for credit on any degree. Review or introduce operations
involving rational numbers and decimals, exponents, linear
equations in one and two variables, graphing, polynomial
arithmetic and factoring, quadratic equations, linear inequalities
in one and two variables, rational expressions, measurement
geometry. Prerequisite: Consent of Department. Three lecture hours
a week. Credit: Three hours.
MATH 1301.
Elementary Analysis I - Laboratory. Application of principles
taught in MATH 1303. May be required as co-requisite with MATH
1303 based on placement test scores. Three laboratory hours per
week. Credit: One hour.
MATH 1303. Elementary Analysis I. (MATH 1314)
College algebra with some attention to rigor; elements of set
theory; exponential, and logarithmic functions. Prerequisite: High
School Algebra and Geometry and appropriate score on placement
exam. Three lecture hours a week. Credit: Three hours. CORE
MATH 1311.
Elementary Analysis II - Laboratory. Application of principles
taught in MATH 1313. May be required as co-requisite with MATH
1313 based on placement test scores. Three laboratory hours per
week. Credit: One hour.
MATH 1313. Elementary Analysis II. (MATH
1316) Algebraic, exponential, logarithmic and trigonometric
functions; an introduction to matrix algebra; complex numbers,
sequences, the binomial theorem. Prerequisite: MATH 1303 or
equivalent. Three lecture hours a week. Credit: Three hours. CORE
MATH 1523. Mathematics Concepts I. Selected
topics from Real Number Systems; fundamental operations of
mathematics; and algebraic thinking. Can only be counted as
satisfying the mathematics requirement for Generalist (EC-Grade 4)
and Bilingual Generalist (EC-Grade 4). Prerequisite: High School
Algebra and Geometry. Three lecture hours a week. Credit: Three
hours.
MATH 1533. Mathematics Concepts II. Selected
topics from geometry, measurement, probability and statistics. Can
only be counted as satisfying the mathematics requirement for
Generalist (EC-Grade 4) and Bilingual Generalist (EC-Grade 4).
Prerequisite: High School Algebra and Geometry. Three lecture
hours a week. Credit: Three hours.
MATH 1603. Fundamentals of Elementary Mathematics
I. (MATH 1350) Set-theoretical approach to the development of
the real number system; fundamental operations of arithmetic;
relations and functions. Can be counted as satisfying the
mathematics requirement by elementary education, special
education, deaf education, and child development majors only. Prerequisite: High School Algebra and Geometry. Three
lecture hours a week. Credit: Three hours. CORE
MATH 1613. Fundamentals of Elementary Mathematics
II. (MATH 1351) Selected topics in measurement, geometry,
probability and statistics. Can be counted as satisfying the
mathematics requirement by elementary education, special
education, deaf education, and child development majors only. Prerequisite: High School Algebra and Geometry. Three
lecture hours a week. Credit: Three hours. CORE
MATH 1703. Elementary Statistics I. (MATH
1342) Frequency distributions; graphical representation, measures
of central tendency and dispersion; normal curve; hypothesis
testing/confidence intervals. Three lecture hours a week. Credit:
Three hours. CORE
MATH 1713. Elementary Statistics II.
Hypothesis testing, confidence intervals, nonparametric
statistics, regression and correlation, time series, experimental
design. Prerequisite: MATH 1703. Three lecture hours a week.
Credit: Three hours. CORE
MATH 2014. Introductory Calculus I. (MATH
2413) Analytic geometry; limits and continuity; differentiation of
algebraic and transcendental functions; antiderivatives; definite
integrals. Prerequisite: MATH 1303 and 1313 or equivalent. Four
lecture hours a week. Credit: Four hours. CORE
MATH 2024. Introductory Calculus II. (MATH
2414) Differential equations; formal integration; applications of
integration; improper integrals; infinite series; parametric
functions. Prerequisite: MATH 2014. Four lecture hours a week.
Credit: Four hours. CORE
MATH 2053. Women and Minorities in Engineering,
Mathematics, and Science. Examines reasons why women and
minorities are traditionally underrepresented in the areas of
engineering, mathematics, and science and includes strategies for
increasing their representation. Introduction to problem-solving
strategies, useful for any discipline, which emphasize solutions
incorporating both current and emerging technologies. Three
lecture hours a week. Credit: Three hours. CORE (womens studies)
MATH 2203. Business Analysis I. (MATH 1321)
Algebraic functions, logarithmic functions, exponential functions,
matrices and linear systems, linear programming. Prerequisite:
High School Algebra and Geometry and appropriate score on
placement exam. Three lecture hours a week.
Credit: Three hours.
MATH 2213. Business Analysis II. Differential
and integral calculus of algebraic, logarithmic and exponential
functions and applications of each to business. Prerequisite: MATH
2203. Three lecture hours a week. Credit: Three hours.
MATH 3003. A Survey of Geometry. Historical
origins and elements of modern geometry. A preview of elementary
transformations and dissection theory, projective geometry and
Euclidean and non-Euclidean geometry. Prerequisite: MATH 2014.
Three lecture hours a week. Credit: Three hours.
MATH 3013. Discrete Mathematics. (MATH 2305) Sets,
functions, Boolean algebra, logic, number theory and
representations, graph theory, algorithms, and computability.
Prerequisite: MATH 2014 or permission of instructor. Three lecture
hours a week. Credit: Three hours.
MATH 3043. Symbolic Logic. Truth tables,
symbolization of statements and relations; formal deductive proofs
of validity; rules of conditional and indirect proofs; deductive
systems. Prerequisite: MATH 2014 or permission of instructor.
Three lecture hours a week. Credit: Three hours.
MATH 3053. Abstract Algebra. Introduction to
sets, relations, mappings, rings, integral domains, fields,
groups. Prerequisite: MATH 2014 or permission of the instructor.
Three lecture hours a week. Credit: Three hours.
MATH 3063. Linear Algebra. (MATH 2318) Linear equations
and matrices; vector spaces; linear mappings; determinants.
Prerequisite: MATH 2014 or permission of the instructor. Three
lecture hours a week. Credit: Three hours.
MATH 3073. Matrix Methods. Matrix operations,
determinants, inverse of a matrix, solution of linear systems,
eigenvalues and eigenvectors, matrix calculus. Prerequisite: MATH
2014 or permission of the instructor. Three lecture hours a week.
Credit: Three hours.
MATH 3083. Elementary Number Theory.
Diophantine equations; con-gruences; divisibility properties of
integers; prime numbers and factorization theorems; multiplicative
functions. Prerequisite: MATH 2014 or permission of the
instructor. Three lecture hours a week. Credit: Three hours.
MATH 3104. Intermediate Calculus. (MATH 2415) Solid
analytic geometry; vectors in space; functions of several
variables; partial derivatives; multiple integrals; applications.
Prerequisite: MATH 2024. Four lecture hours a week. Credit: Four
hours.
MATH 3123. Differential Equations. (MATH
2320) Solutions
of differential equations of the first order and applications;
linear differential equations with applications; solution by power
series and numerical methods; systems of differential equations;
introduction to partial differential equations. Prerequisite: MATH
2024. Three lecture hours a week. Credit: Three hours.
MATH 4003. Mathematical Concepts in the
Educational Setting. Problem Solving, reasoning, sets,
geometry, algebra, trigonometry, matrices, statistics and
probability, sequences and series, graph theory, integration,
differentiation, vectors. Three lecture hours a week. Credit:
Three hours.
MATH 4013. Probability and Statistics. The
theory of discrete and continuous random variables and their
distributions. Topics include expected values, binomial and normal
distributions, the central limit theorem, confidence intervals,
and hypothesis testing. Prerequisite: Math 2014. Three lecture
hours a week. Credit: Three hours.
MATH 4103. Problem Solving in the Elementary
Grades. For
students desiring professional development in strategies for
teaching problem solving techniques in the elementary classroom.
Topics include number concepts, operations, computation, patterns,
relations, functions, geometry, measurement, probability, and
statistics. Children's literature, manipulatives, and relevant
technology are incorporated. Three lecture hours a week. Credit:
Three hours.
MATH 4203. Problem Solving in the Secondary
Grades.
Strategies of problem solving; methods for teaching and applying
different strategies; assessment of problem solving skills. Three
lecture hours a week. Credit: Three hours.
MATH 4303. Algebra in the Mathematics Classroom.
Patterns, relationships, ordered pairs, prime and composite
numbers, orders of operations, exponents, number sentences,
ratios, proportions, percents, modeling, formulas, equations,
graphs, functions, systems of equations. Three lecture hours a
week. Credit: Three hours.
MATH 4311.
Seminar in the Mathematics. Capstone course. Compilation of a
professional portfolio, completion of a multifaceted project on a
current issue in or application of mathematics, development of
skills in defining problems and opportunities, and generation of
strategies and solutions for those problems. Requires a written
component, an oral presentation of project and an exit exam.
Prerequisite: 24 hours of course work in mathematics or permission
of the instructor. One seminar hour a week. Credit: One hour.
MATH 4313. Geometry in the Mathematics Classroom.
Topics in geometry with an emphasis in problem solving, shapes,
angles, polygons, circles, Pythagorean Theorem, symmetry,
transformations, measurement area, and volume with an emphasis on
technology. Three lecture hours a week. Credit: Three hours.
MATH 4903. Selected Topics. Variable content
in mathematics. Three lecture hours a week. Credit: Three hours.
MATH 4911. Independent Study. Individual
study in mathematics. Credit: One hour.
MATH 4913. Independent Study. Individual
study in mathematics. Credit: Three hours.
MATH 4953 and 4956. Cooperative Education.
|