MATHEMATICS COURSES (MATH)
"Students who have credit in mathematics courses numbered 2000 or above may not enroll in courses below 2000 without departmental approval."
0013 PRE-ALGEBRA, 3 hours credit (Remedial Development Course)
This course provides a solid foundation in whole and signed number operations, fractions, decimals, percent, ratio, proportion and elementary geometry. Does not satisfy any requirements for any degree program at Cameron University. Lecture 3 hours.
0103 BEGINNING ALGEBRA, 3 hours credit (Remedial/Developmental Course)
The equivalent of a year of high school algebra. Does not satisfy any degree requirement for any degree program at Cameron University. Prerequisite: None. Lecture 4 hours.
0111-5 BEGINNING AND INTERMEDIATE ALGEBRA, 5 hours credit (Remedial/ Developmental Course)
An integration of beginning and intermediate algebra. Especially designed for students who need remediation in high school algebra. Variable credit depending on content needed, based on mathematics placement exam. Does not satisfy any requirements for any degree program at Cameron University. Lecture l-5 hours.
0213 INTERMEDIATE ALGEBRA, 3 hours credit (Remedial/Developmental Course)
Introductory algebra of the real number system. This course is designed for students who need remediation in the intermediate level high school algebra. Does not satisfy any requirements for any degree program at Cameron University. Lecture 3 hours. Prerequisite: MATH 0104 or one year of high school algebra.
1513* COLLEGE ALGEBRA, 3 hours credit
Topics covered are functions and graphs, including polynomial, rational, exponential and logarithmic; conic sections; linear systems; and matrices. College Algebra requires the use of a graphing calculator. Does not apply toward a major in mathematics. Lecture 3 hours. Prerequisite: MATH 0213 or MATH 0111-5 or equivalent.
1613* PLANE TRIGONOMETRY, 3 hours credit
The development and use of circular and trigonometric functions; relations between the functions, logarithms, solutions of triangles; applications to practical problems throughout the course. Does not apply towards a major in mathematics. Lecture 3 hours. Prerequisite: MATH 1513 or equivalent or concurrent enrollment in MATH 1513.
1715* COLLEGE ALGEBRA AND TRIGONOMETRY, 5 hours credit
An integrated course in College Algebra and Trigonometry. This course is equivalent to the two courses MATH 1513 and MATH 1613. Does not apply towards a major in mathematics. Lecture 5 hours. Prerequisite: MATH 0115 or 0213 or equivalent.
1813* SURVEY OF MATHEMATICS, 3 hours credit
A survey course in Mathematics designed to acquaint the student with the breadth and beauty of mathematics. Topics to be selected from set theory, logic, functions and relations, abstract algebraic systems, history of numeration systems, combinatorial analysis and probability, statistics, geometry and topology. Does not apply toward a major or minor in mathematics. Lecture: 3 hours. Prerequisite: MATH 0213 or MATH 0111-5 or equivalent.
2215* CALCULUS AND ANALYTIC GEOMETRY I, 5 hours credit
Limits, derivatives with applications, the definite integral with applications. Lecture 5 hours. Prerequisites: MATH 1513 and 1613 or MATH 1715 or equivalent.
2235* CALCULUS AND ANALYTIC GEOMETRY II, 5 hours credit
Techniques of integration, applications of integration, polar coordinates, sequences and series, vectors. Lecture 5 hours. Prerequisite: MATH 2215.
2244* CALCULUS AND ANALYTIC GEOMETRY III, 4 hours credit
Solid analytic geometry, partial differentiation, multiple integrals, functions of several variables, vector calculus. Lecture 4 hours. Prerequisite: MATH 2235.
2353 MATHEMATICS FOR ELEMENTARY TEACHERS I, 3 hours credit
A
basic course in mathematics for elementary
education majors. An introduction to problem solving, numeration systems, whole number properties, and current technologies and manipulatives that relate to elementary mathematics. Additionally, operations with whole numbers are developed. Does not apply
toward a major in mathematics or mathematics education or a minor in mathematics. Lecture 3 hours. Prerequisite:
Completion of one math general education course.
2363 MATHEMATICS FOR ELEMENTARY TEACHERS II, 3 hours credit
An introduction to the structure
of the real number system, functions, and probability and statistics for elementary education majors. Various manipulatives are used as teaching tools. Does
not apply toward a major in mathematics or mathematics education or a minor in mathematics. Lecture 3 hours.
Prerequisite: MATH 2353 or departmental permission.
2491-3 SELECTED TOPICS IN MATHEMATICS, 1-3 hours credit
A course designed to give non-mathematics majors the opportunity to study topics which are either not covered in the regular mathematics course offerings or not covered in sufficient depth for their needs. Topics considered appropriate for this course are those which require little or no calculus. May be repeated as often as desired with permission of the department chairman. Prerequisite: Permission of the department.
2613* FOUNDATIONS OF MATHEMATICS, 3 hours credit
This course is designed to facilitate the transition from calculus to advanced mathematics. Topics include logic, sets, relations, functions, properties of real numbers, cardinality, combinatorics and probability. Lecture 3 hours. Prerequisite: MATH 2215.
2713* ELEMENTARY CALCULUS, 3 hours credit
An introductory course in calculus for the non-mathematics major covering the following topics: limits, derivatives, and integration of functions of one or more variables. Applications will be related to Business, Economics, and the Social Sciences. Does not apply towards a major in mathematics. Lecture 3 hours. Prerequisite: Math 1513 or equivalent.
3013 INTRODUCTORY LINEAR ALGEBRA, 3 hours credit
An introduction to the basic topics of linear algebra to include linear systems, matrices, vectors, and vector spaces, eigenvalues, and linear transformations. Lecture 3 hours. Prerequisite: MATH 2613.
3213 ABSTRACT ALGEBRA, 3 hours credit
The course emphasizes algebraic structures with particular emphasis on groups, rings, and fields. The fundamental theorems of group and ring theory are introduced and the beginning notions of field theory are presented. Prerequisite: MATH 2613.
3253 DIFFERENTIAL EQUATIONS, 3 hours credit
Ordinary differential equations with a brief introduction to solutions by series and Laplace transforms. Lecture 3 hours. Prerequisite: MATH 2235.
3302 HISTORY OF MATHEMATICS, 2 hours credit
The historical development of mathematics. Lecture 2 hours. Prerequisite: Departmental permission.
3333 COLLEGE GEOMETRY, 3 hours credit
A comprehensive course which includes topics from both Euclidean and non-Euclidean geometries. Lecture 3 hours. Prerequisite: MATH 2215.
3373 ALGEBRA FOR ELEMENTARY TEACHERS,
3 hours credit
A course in algebra specifically designed for elementary education majors. Topics include integers, equations, functions, graphing, and applications of algebra. Does not apply towards a major in mathematics or mathematics education or a minor in mathematics. Lecture 3 hours. Prerequisite: MATH 2363 or departmental permission.
3383 GEOMETRY FOR ELEMENTARY TEACHERS, 3 hours credit
A course in geometry specifically designed for elementary education majors. Topics include constructions and geometric proofs as well as the study of geometric objects in two and three dimensions. Does not apply towards a major in mathematics or mathematics education or a minor in mathematics. Lecture 3 hours. Prerequisite: MATH 2363 or departmental permission.
4113 INTRODUCTION TO OPERATIONS RESEARCH, 3 hours credit
An introductory treatment of some of the problems and techniques encountered in operations research. Topics include: linear programming, network analysis, game theory, Markov chains, analytical hierarchies. Lecture 3 hours. Prerequisite: MATH 2215 or 2713 or departmental permission.
4423 NUMBER THEORY, 3 hours credit
Divisibility of integers, congruences, quadratic residues, mathematical induction, distribution of primes, diophantine equations, numerical functions and continued fractions. Lecture 3 hours. Prerequisite: MATH 2613 or departmental permission.
4433 MATRIX ALGEBRA, 3 hours credit
Elementary operations with matrix algebra, determinants, inverse of a matrix, rank and equivalence, linear dependence, vector spaces and linear transformations, characteristic equations of a matrix; bilinear, quadratic and Hermitian forms. Lecture 3 hours. Prerequisite: MATH 2215 or departmental permission.
4471-3 SEMINAR IN MATHEMATICS, 1-3 hours credit
Group projects designed to meet special needs. May be repeated as often as desired with permission of the department chairman. Prerequisite: Departmental approval. Will count on major or minor only with departmental permission.
4772 TEACHING OF SECONDARY MATHEMATICS, 2 hours credit
Various aspects of the pedagogy of teaching secondary mathematics courses will be explored. Lecture 2 hours. Prerequisite: Juniors or Seniors who have been admitted to Teacher Education or departmental permission.
4483 INTRODUCTION TO REAL ANALYSIS, 3 hours credit
A study of the basic concepts of analysis, elementary set theory, the real numbers, sequences, real functions, derivatives, and integrals. Lecture 3 hours. Prerequisite: MATH 2244 and 2613.
4491-3 INDEPENDENT STUDY IN MATHEMATICS, 1-3 hours credit
Assigned research, readings, and reports based on the needs of the individual student. May be taken only by juniors and seniors. May be repeated as often as desired with permission of the department chairman. Prerequisite: Departmental permission.
STATISTICS COURSES (STAT)
3003* INTRODUCTION TO STATISTICS, 3 hours credit
Designed to introduce the non-mathematics student to the techniques of experimental statistics including estimation and hypothesis testing. Does not apply toward a major or minor in mathematics. Lecture 3 hours. Prerequisite: MATH 0213 or 0115 or equivalent.
3013 INTRODUCTORY PROBABILITY AND STATISTICS I, 3 hours credit
Descriptive statistics including graphical representation of data, elementary probability and combinatorial methods, binomial and normal distributions, statistical inference including point estimates of mean, variance and proportion, confidence intervals, test of hypotheses. Lecture 3 hours. Prerequisite: MATH 1513 or MATH 1813 or equivalent.
3023 INTRODUCTORY PROBABILITY AND STATISTICS II, 3 hours credit
A continuation of STAT 3013. Emphasis on various experimental designs--chi square tests, analysis of variance, regression and correlation, sampling, and introduction to nonparametric statistics. Lecture 3 hours. Prerequisite: STAT 3013 or departmental permission. The department recommends concurrent enrollment in STAT 3202.
3113 MATHEMATICAL STATISTICS I, 3 hours credit
Introduction to combinatorial methods, probability random variables and expected value, discrete distributions, continuous probability functions, and moment generating functions. Lecture 3 hours. Prerequisite: MATH 2235.
3123 MATHEMATICAL STATISTICS II, 3 hours credit
A continuation of STAT 3113. Sampling, interval estimation, tests of hypotheses, and regression and correlation. Lecture 3 hours. Prerequisite: STAT 3113.
3202 STATISTICAL APPLICATIONS OF THE COMPUTER, 2 hours credit
Techniques for using the computer as a tool in the analysis of statistical problems. Emphasis on data handling in statistical applications. No prior programming knowledge necessary for enrolling in this course. Lecture 1 hour, laboratory 2 hours. Prerequisite: STAT 3023 or concurrent enrollment or departmental permission.
* Liberal arts and sciences course.
