School of Arts & Sciences - Mathematics - Undergraduate Course Descriptions

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MTH 100 Developmental Mathematics 3 hrs. This course covers basic arithmetic, basic algebra and basic geometry concepts. Included in its content are the four fundamental operations involving positive and negative real numbers, rational numbers, and percents; solving linear equations and inequalities; and pertinent application problems. Credit for this course may not be counted toward any degree requirements. Prerequisite: None. Placement in this course is determined by performance on a placement test.(Offered Fall, Spring, Summer)

MTH 101 Fundamentals of Mathematics 3 hrs. This course covers graphing and linear systems, exponents and polynomials, factoring, rational expressions, roots and radicals, solving quadratic equations, compound inequalities, linear inequalities in two variables, variation, functions, and pertinent application problems. Prerequisite: MTH 100 or a satisfactory score on a placement test. (Offered Fall, Spring, Summer)

MTH 105 Intermediate Algebra 3 hrs. This course covers exponents, roots and radicals, polynomial and rational expressions, functions and graphing, transformations of functions, quadratic and inverse functions, and linear and non-linear systems of equations. Note: MTH 105 is an intensive intermediate algebra course designed for students in science, technology, engineering, and mathematics (STEM) degree programs where MTH 125, Calculus I, is the initial course in their curriculum. This course is designed to prepare students for MTH 115.

MTH 107 Modern Mathematics 3 hrs. This course covers the metric system, sets, base numeration systems, systems of whole numbers, systems of integers, elementary number theory, elementary logic, relations, and functions. Prerequisite: MTH 101 or a satisfactory score on a placement test. (Offered Fall, Spring, Summer)

MTH 110 Finite Mathematics 3 hrs. This course covers sets, counting, permutations, combinations, basic probability theory (including BayeÕs Theorem), statistical concepts (including binomial distributions, and normal distribution), matrices and their applications to Markov chains and decision theory. Additional topics may include symbolic logic, linear models, linear programming, the simplex method and applications. This course is designed for students who are not majoring in science, engineering, commerce, or mathematics. Prerequisite: MTH 101 or satisfactory placement test scores (Offered Fall, Spring, Summer)

MTH 112 (Formerly MTH 103) Pre-Calculus Algebra 3 hrs. This course covers the algebra of polynomial, rational, exponential and logarithmic functions; algebraic equations; linear and quadratic equations; linear and quadratic inequalities; systems of equations and inequalities; and the binomial theorem. Additional topics may include matrices, Cramer's rule, and mathematical induction. Prerequisite: MTH 101 or a satisfactory score on a placement exam. (Offered Fall, Spring, Summer)

MTH 113 (Formerly MTH 104) Pre-Calculus Trigonometry 3 hrs. This course covers the study of (circular) trigonometric functions; inverse trigonometric functions; trigonometric identities; and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre's Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. Prerequisite: MTH 112 or a satisfactory score on a placement exam. (Offered Fall, Spring, Summer)

MTH 115 Pre-Calculus Algebra and Trigonometry 4 hrs. This course covers the study of (circular) trigonometric functions; inverse trigonometric functions; trigonometric identities; and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre's Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. Prerequisite: MTH 112 or a satisfactory score on a placement exam. (Offered Fall, Spring, Summer)

MTH 120 (Formerly MTH 130) Calculus and Its Applications 3 hrs. This course is intended to give a broad overview of calculus and is taken primarily by students majoring in commerce and business. It includes differentiation and integration of algebraic, exponential, and logarithmic functions and applications to business and economics. The course also includes functions of several variables, partial derivatives with applications, LaGrange multipliers, L'Hopital's rule, multiple integration with applications. This course does not substitute for MTH 125 or MTH 126. Prerequisite: MTH 112 (Offered Fall, Spring, Summer)

MTH 125 (Formerly MTH 171) Calculus I 4 hrs. This course covers limits; derivatives of algebraic, trigonometric, exponential, and logarithmic functions; applications of the derivative; differentials; maximum and minimum problems; curve sketching using calculus; and the definite integral and its applications to area. This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering and mathematics. Prerequisite: MTH 113 or satisfactory placement test scores. (Offered Fall, Spring, Summer)

MTH 126 (Formerly MTH 172) Calculus II 4 hrs. This course covers applications of integration including volume, arc length and work; techniques of integration; infinite series; polar coordinates and polar graphs; vectors in the plane and in space, parametric equations; curves in the plane and in space; and lines and planes in space. This is the second of three courses in the basic calculus sequence. Prerequisite: MTH 125 or MTH 145 (Offered Fall, Spring, Summer)

MTH 145H (Formerly MTH 171H) Honors Calculus I 4 hrs. This course covers the content of MTH 125 at an accelerated pace and includes a major application project. This course covers limits; derivatives of algebraic, trigonometric, exponential, and logarithmic functions; applications of the derivative; differentials; maximum and minimum problems; curve sketching using calculus; and the definite integral and its applications to area. Prerequisite: MTH 113 or satisfactory placement test scores (Offered Fall)

MTH 146H (Formerly MTH 172H) Honors Calculus II 4 hrs. This course covers contents of MTH 126 at an accelerated pace and includes a major application project. This course covers applications of integration including volume, arc length, and work; techniques of integration; infinite series; polar coordinates and polar graphs; vectors; parametric equations; curves in the plane and in space; and lines and planes in space. Prerequisite: MTH 125 or MTH 145 (Offered Spring)

MTH 227 (Formerly MTH 201) Calculus III 4 hrs. This course covers vector-valued functions; functions of several variables, partial derivatives and their applications; quadric surfaces, multiple integration, and vector calculus, including line and surface integrals; curl and divergence, Green's Theorem, and Stoke's Theorem. This is the third of three courses in the basic calculus sequence. Prerequisite: MTH 126 or MTH 146. (Offered Fall, Spring, Summer)

MTH 237 (Formerly MTH 203) Introduction to Linear Algebra 3 hrs. Introduction to theory of matrices, determinants, methods of solving the linear system Ax = b via Gaussian elimination, Gauss-Jordan elimination, eigenvalues and eigenvectors, diagonalization of matrices, real vector spaces, bases and dimension, linear transformations, inner product spaces. Additional topics may include quadratic forms and applications of matrix theory in solving differential equations. Prerequisites: MTH 126 or MTH 146. (Offered Fall, Spring, Summer)

MTH 238 (Formerly MTH 202) Applied Differential Equations 3 hrs. An introduction to numerical methods, qualitative behavior of first order differential equations, techniques for solving separable and linear equations analytically, and applications to various models, including populations, motions and chemical mixtures. Techniques for solving higher order linear differential equations with constant coefficients, including the general theory and the methods of undetermined coefficients, reduction of order, and variation of parameters. Interpretation of the behavior of solutions, and applications to physical models with higher order governing equations. The Laplace transform as a tool for solving initial value problems with discontinuous inhomogeneous terms. Prerequisite: MTH 126 or MTH 146. (Offered Fall, Spring, Summer)

MTH 301 Abstract Algebra I 3 hrs. Sets, relations, and functions; properties of integers and induction; permutations; groups, group homomorphisms, and quotient groups; Cartesian and direct products. Prerequisite: MTH 237 (Offered Fall)

MTH 302 Abstract Algebra II 3 hrs. This course is a continuation of MTH 301. Rings, ring homomorphisms, ideals, quotient rings; integral domains; fields and polynomial extensions of fields. Prerequisite: MTH 301 (Offered Spring)

MTH 303 (PHY 303) Methods of Mathematical Physics 4 hrs. Vector calculus; partial differential equations; boundary value problems. Fourier series; Laplace transforms; and Green's function methods. Prerequisite: MTH 227 (Offered Fall and/or Spring)

MTH 304 Mathematics for Elementary Teachers 3 hrs. This course covers topics in the K-6 mathematics curriculum: counting, integers, the fundamental operations of arithmetic, ratio and proportion, elementary geometry, uncertainty and data interpretation. Problem solving, investigation, reasoning, communication, and the use of technology are integral parts of this course. This course is not open to Mathematics or Secondary Education Majors. Prerequisites: MTH 112 or MTH 107 (Offered Fall, Spring, Summer)

MTH 305 Applied Mathematics 3 hrs. Functions of several variables, partial derivatives, differentials, power series, binomial series, Maclaurin and Taylor series, and solution of elementary first order and second order differential equations. Applications for engineering technology. This course is not open to Mathematics majors or Secondary Education Mathematics majors. Prerequisite: MTH 126 or MTH 146.

MTH 307 Geometry 3 hrs. A study of plane and solid Euclidean geometry from the modern viewpoint; relationships of Euclidean and non-Euclidean geometry; selected topics of affine and projective geometry. This course is open to Elementary and Secondary Education majors; this course is not open to Mathematics majors. Prerequisite: MTH 112. (Offered Spring)

MTH 324 Elementary Statistics 3 hrs. An introduction to compute-assisted data analysis with emphasis on the interpretation of results generated by such software packages as MAPLE and SAS. Topics include descriptive statistics; contingency tables, probability distributing; two-group comparisons; sample estimators, hypothesis testing, and linear regression.<

MTH 351 Introduction to Real Analysis I 3 hrs. Logical connectives; quantifiers, inductive and deductive methods of proof; negation; contrapositive; sets; relations and functions. The completeness axiom; topology of the real line; compact sets; sequences; subsequences; Cauchy sequences; limits; continuity; uniform continuity. Prerequisite: MTH 227 (Offered Fall)

MTH 352 Introduction to Real Analysis II 3 hrs. Continuation of MTH 351. Differentiation; Riemann integral; derivatives of integrals; infinite series; absolute and conditional convergence; power series; Taylor series; sequences and series of functions; modes of convergence. Prerequisites: MTH 351 (Offered Spring)

MTH 355 Applied Statistics 3 hrs. Collection and presentation of data; measures of central tendency and variability; skewness, binomial, normal, Chi-square, t-and F-distributions; estimation; confidence intervals and hypothesis testing; correlation coefficient; and analysis of variance. This course includes laboratory activities. (This course is designed for majors in biology, zoology, botany, medical technology, pre-veterinary medicine, and pre-nursing). Prerequisite: MTH 112.

MTH 357 Computers and the Teaching of Mathematics 3 hrs. Introduction to digital computers; modern uses of computers, mathematics materials on computers and computing; uses of computers in mathematics instruction, laboratory practice and development of mathematics curriculum materials in a Visual Basic language. This course is open to Secondary Mathematics Education majors; this course is not open to Mathematics majors. Prerequisite: MTH 125. (Offered Spring).

MTH 371 Number Theory 3 hrs. An introduction to the theory of numbers through a study of divisibility; congruencies; quadratic reciprocity; Diophantine equations; factorization; algebraic numbers. Prerequisite: MTH 237. (Offered Fall).

MTH 383 (CMP 305) Numerical Analysis 3 hrs. Introduction to numerical methods for interpolation; evaluating roots of polynomials, systems of equations; integration; differentiation; differential equations; approximation and error. Prerequisites: MTH 227 and CMP 102. (Offered Fall and/or Spring)

MTH 401 History of Mathematics 1 hr. A course designed to explore and study topics in the history of mathematics. Prerequisite: MTH 125.< (Offered Fall)

MTH 452 Complex Analysis 3 hrs. The complex numbers; functions and continuity of complex variables; differentiability; Cauchy-Riemann conditions; contour integral theorem; sequences and series; the calculus of residues. Prerequisite: MTH 227. (Offered Fall and/or Spring).

MTH 453 (ST 453) Probability and Statistics 3 hrs. Probability axioms; methods of enumeration; conditional probability; independence; empirical frequency distribution; discrete and continuous random variables; expectation; moment generating functions; joint distributions; sums of random variables; limit theorems. Prerequisite: MTH 126 or MTH 146. (Offered Fall, Spring and Summer)

MTH 454 Advanced Calculus 3 hrs. Topics of advanced nature in differential and integral calculus. Emphasis is placed on the understanding of concepts and on the basic principles of analysis. Prerequisite: MTH 227.

MTH 480 Selected Topics in Mathematics 3 hrs. A course designed to discuss current topics in algebra and/or analysis. Prerequisite: MTH 301 or MTH 351 or consent of instructor (Offered Fall, and/or Spring)

MTH 481 Senior Project 3 hrs. A course designed for mathematics majors who are conducting a senior mathematics project under the direction of a mentor. This course is open only to Mathematics & Secondary Education Mathematics majors. Prerequisites: MTH 301 or MTH 351 or consent of instructor (Offered Fall, Spring)

MTH 482 Independent Study 1 hr. A course designed for investigative study in an area of contemporary mathematics under the supervision of a senior mathematics instructor. Prerequisite: MTH 237 or consent of instructor (Offered Spring)

ST 327 Applied Regression Analysis 3 hrs. A study of least squares; simple, polynomial and multiple linear regression including residual and lack-of-fit analysis; simple multiple, partial, and multiple-partial correlation; analysis of covariance; model building algorithms, analysis of variance, and computer-assisted data analysis. Prerequisite: ST 324. (Offered Fall or Spring)

ST 344 (MTH 344) Design and Analysis of Experiments I 3 hrs. A study of the fundamental concepts and basic principles of design, construction and analysis of experimental designs. Designs to be included are completely randomized complete block, Latin square, Graeco-Latin square, split-plot, multiple comparison, and factorial. Prerequisite: ST 327. (Offered Fall or Spring)

ST 444 (MTH 444) Design and Analysis of Experiments II 3 hrs. A continuation of ST 344. Topics include incomplete block designs, analysis of covariance; regression approach to the analysis of selected design such as two-way unequal cells, factorial confounding techniques, fractional replication, response surface methodology, evolutionary operations, cross-over and repeated measure designs; and selected transformations and heterogeneity of variance techniques. Prerequisite: ST 344. (Offered Fall or Spring)

ST 473 (MTH 473) Statistics 3 hrs. An introduction to the theory of statistics. Topics include sampling distributions, estimation, hypothesis testing, linear models, analysis of variance, nonparametric and distribution-free procedures. Prerequisite: ST 453. (Offered Fall or Spring)

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MTH 100	Developmental Mathematics	3 hrs.	This course covers basic arithmetic, basic algebra and basic geometry concepts. Included in its content are the four fundamental operations involving positive and negative real numbers, rational numbers, and percents; solving linear equations and inequalities; and pertinent application problems. Credit for this course may not be counted toward any degree requirements. Prerequisite: None. Placement in this course is determined by performance on a placement test.(Offered Fall, Spring, Summer)
MTH 101	Fundamentals of Mathematics	3 hrs.	This course covers graphing and linear systems, exponents and polynomials, factoring, rational expressions, roots and radicals, solving quadratic equations, compound inequalities, linear inequalities in two variables, variation, functions, and pertinent application problems. Prerequisite: MTH 100 or a satisfactory score on a placement test. (Offered Fall, Spring, Summer)
MTH 105	Intermediate Algebra	3 hrs.	This course covers exponents, roots and radicals, polynomial and rational expressions, functions and graphing, transformations of functions, quadratic and inverse functions, and linear and non-linear systems of equations. Note: MTH 105 is an intensive intermediate algebra course designed for students in science, technology, engineering, and mathematics (STEM) degree programs where MTH 125, Calculus I, is the initial course in their curriculum. This course is designed to prepare students for MTH 115.
MTH 107	Modern Mathematics	3 hrs.	This course covers the metric system, sets, base numeration systems, systems of whole numbers, systems of integers, elementary number theory, elementary logic, relations, and functions. Prerequisite: MTH 101 or a satisfactory score on a placement test. (Offered Fall, Spring, Summer)
MTH 110	Finite Mathematics	3 hrs.	This course covers sets, counting, permutations, combinations, basic probability theory (including BayeÕs Theorem), statistical concepts (including binomial distributions, and normal distribution), matrices and their applications to Markov chains and decision theory. Additional topics may include symbolic logic, linear models, linear programming, the simplex method and applications. This course is designed for students who are not majoring in science, engineering, commerce, or mathematics. Prerequisite: MTH 101 or satisfactory placement test scores (Offered Fall, Spring, Summer)
MTH 112	(Formerly MTH 103) Pre-Calculus Algebra	3 hrs.	This course covers the algebra of polynomial, rational, exponential and logarithmic functions; algebraic equations; linear and quadratic equations; linear and quadratic inequalities; systems of equations and inequalities; and the binomial theorem. Additional topics may include matrices, Cramer's rule, and mathematical induction. Prerequisite: MTH 101 or a satisfactory score on a placement exam. (Offered Fall, Spring, Summer)
MTH 113	(Formerly MTH 104) Pre-Calculus Trigonometry	3 hrs.	This course covers the study of (circular) trigonometric functions; inverse trigonometric functions; trigonometric identities; and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre's Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. Prerequisite: MTH 112 or a satisfactory score on a placement exam. (Offered Fall, Spring, Summer)
MTH 115	Pre-Calculus Algebra and Trigonometry	4 hrs.	This course covers the study of (circular) trigonometric functions; inverse trigonometric functions; trigonometric identities; and trigonometric equations. The course also covers vectors, complex numbers, DeMoivre's Theorem, and polar coordinates. Additional topics may include conic sections, sequences, and using matrices to solve linear systems. Prerequisite: MTH 112 or a satisfactory score on a placement exam. (Offered Fall, Spring, Summer)
MTH 120	(Formerly MTH 130) Calculus and Its Applications	3 hrs.	This course is intended to give a broad overview of calculus and is taken primarily by students majoring in commerce and business. It includes differentiation and integration of algebraic, exponential, and logarithmic functions and applications to business and economics. The course also includes functions of several variables, partial derivatives with applications, LaGrange multipliers, L'Hopital's rule, multiple integration with applications. This course does not substitute for MTH 125 or MTH 126. Prerequisite: MTH 112 (Offered Fall, Spring, Summer)
MTH 125	(Formerly MTH 171) Calculus I	4 hrs.	This course covers limits; derivatives of algebraic, trigonometric, exponential, and logarithmic functions; applications of the derivative; differentials; maximum and minimum problems; curve sketching using calculus; and the definite integral and its applications to area. This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering and mathematics. Prerequisite: MTH 113 or satisfactory placement test scores. (Offered Fall, Spring, Summer)
MTH 126	(Formerly MTH 172) Calculus II	4 hrs.	This course covers applications of integration including volume, arc length and work; techniques of integration; infinite series; polar coordinates and polar graphs; vectors in the plane and in space, parametric equations; curves in the plane and in space; and lines and planes in space. This is the second of three courses in the basic calculus sequence. Prerequisite: MTH 125 or MTH 145 (Offered Fall, Spring, Summer)
MTH 145H	(Formerly MTH 171H) Honors Calculus I	4 hrs.	This course covers the content of MTH 125 at an accelerated pace and includes a major application project. This course covers limits; derivatives of algebraic, trigonometric, exponential, and logarithmic functions; applications of the derivative; differentials; maximum and minimum problems; curve sketching using calculus; and the definite integral and its applications to area. Prerequisite: MTH 113 or satisfactory placement test scores (Offered Fall)
MTH 146H	(Formerly MTH 172H) Honors Calculus II	4 hrs.	This course covers contents of MTH 126 at an accelerated pace and includes a major application project. This course covers applications of integration including volume, arc length, and work; techniques of integration; infinite series; polar coordinates and polar graphs; vectors; parametric equations; curves in the plane and in space; and lines and planes in space. Prerequisite: MTH 125 or MTH 145 (Offered Spring)
MTH 227	(Formerly MTH 201) Calculus III	4 hrs.	This course covers vector-valued functions; functions of several variables, partial derivatives and their applications; quadric surfaces, multiple integration, and vector calculus, including line and surface integrals; curl and divergence, Green's Theorem, and Stoke's Theorem. This is the third of three courses in the basic calculus sequence. Prerequisite: MTH 126 or MTH 146. (Offered Fall, Spring, Summer)
MTH 237	(Formerly MTH 203) Introduction to Linear Algebra	3 hrs.	Introduction to theory of matrices, determinants, methods of solving the linear system Ax = b via Gaussian elimination, Gauss-Jordan elimination, eigenvalues and eigenvectors, diagonalization of matrices, real vector spaces, bases and dimension, linear transformations, inner product spaces. Additional topics may include quadratic forms and applications of matrix theory in solving differential equations. Prerequisites: MTH 126 or MTH 146. (Offered Fall, Spring, Summer)
MTH 238	(Formerly MTH 202) Applied Differential Equations	3 hrs.	An introduction to numerical methods, qualitative behavior of first order differential equations, techniques for solving separable and linear equations analytically, and applications to various models, including populations, motions and chemical mixtures. Techniques for solving higher order linear differential equations with constant coefficients, including the general theory and the methods of undetermined coefficients, reduction of order, and variation of parameters. Interpretation of the behavior of solutions, and applications to physical models with higher order governing equations. The Laplace transform as a tool for solving initial value problems with discontinuous inhomogeneous terms. Prerequisite: MTH 126 or MTH 146. (Offered Fall, Spring, Summer)
MTH 301	Abstract Algebra I	3 hrs.	Sets, relations, and functions; properties of integers and induction; permutations; groups, group homomorphisms, and quotient groups; Cartesian and direct products. Prerequisite: MTH 237 (Offered Fall)
MTH 302	Abstract Algebra II	3 hrs.	This course is a continuation of MTH 301. Rings, ring homomorphisms, ideals, quotient rings; integral domains; fields and polynomial extensions of fields. Prerequisite: MTH 301 (Offered Spring)
MTH 303	(PHY 303) Methods of Mathematical Physics	4 hrs.	Vector calculus; partial differential equations; boundary value problems. Fourier series; Laplace transforms; and Green's function methods. Prerequisite: MTH 227 (Offered Fall and/or Spring)
MTH 304	Mathematics for Elementary Teachers	3 hrs.	This course covers topics in the K-6 mathematics curriculum: counting, integers, the fundamental operations of arithmetic, ratio and proportion, elementary geometry, uncertainty and data interpretation. Problem solving, investigation, reasoning, communication, and the use of technology are integral parts of this course. This course is not open to Mathematics or Secondary Education Majors. Prerequisites: MTH 112 or MTH 107 (Offered Fall, Spring, Summer)
MTH 305	Applied Mathematics	3 hrs.	Functions of several variables, partial derivatives, differentials, power series, binomial series, Maclaurin and Taylor series, and solution of elementary first order and second order differential equations. Applications for engineering technology. This course is not open to Mathematics majors or Secondary Education Mathematics majors. Prerequisite: MTH 126 or MTH 146.
MTH 307	Geometry	3 hrs.	A study of plane and solid Euclidean geometry from the modern viewpoint; relationships of Euclidean and non-Euclidean geometry; selected topics of affine and projective geometry. This course is open to Elementary and Secondary Education majors; this course is not open to Mathematics majors. Prerequisite: MTH 112. (Offered Spring)
MTH 324	Elementary Statistics	3 hrs.	An introduction to compute-assisted data analysis with emphasis on the interpretation of results generated by such software packages as MAPLE and SAS. Topics include descriptive statistics; contingency tables, probability distributing; two-group comparisons; sample estimators, hypothesis testing, and linear regression.<
MTH 351	Introduction to Real Analysis I	3 hrs.	Logical connectives; quantifiers, inductive and deductive methods of proof; negation; contrapositive; sets; relations and functions. The completeness axiom; topology of the real line; compact sets; sequences; subsequences; Cauchy sequences; limits; continuity; uniform continuity. Prerequisite: MTH 227 (Offered Fall)
MTH 352	Introduction to Real Analysis II	3 hrs.	Continuation of MTH 351. Differentiation; Riemann integral; derivatives of integrals; infinite series; absolute and conditional convergence; power series; Taylor series; sequences and series of functions; modes of convergence. Prerequisites: MTH 351 (Offered Spring)
MTH 355	Applied Statistics	3 hrs.	Collection and presentation of data; measures of central tendency and variability; skewness, binomial, normal, Chi-square, t-and F-distributions; estimation; confidence intervals and hypothesis testing; correlation coefficient; and analysis of variance. This course includes laboratory activities. (This course is designed for majors in biology, zoology, botany, medical technology, pre-veterinary medicine, and pre-nursing). Prerequisite: MTH 112.
MTH 357	Computers and the Teaching of Mathematics	3 hrs.	Introduction to digital computers; modern uses of computers, mathematics materials on computers and computing; uses of computers in mathematics instruction, laboratory practice and development of mathematics curriculum materials in a Visual Basic language. This course is open to Secondary Mathematics Education majors; this course is not open to Mathematics majors. Prerequisite: MTH 125. (Offered Spring).
MTH 371	Number Theory	3 hrs.	An introduction to the theory of numbers through a study of divisibility; congruencies; quadratic reciprocity; Diophantine equations; factorization; algebraic numbers. Prerequisite: MTH 237. (Offered Fall).
MTH 383	(CMP 305) Numerical Analysis	3 hrs.	Introduction to numerical methods for interpolation; evaluating roots of polynomials, systems of equations; integration; differentiation; differential equations; approximation and error. Prerequisites: MTH 227 and CMP 102. (Offered Fall and/or Spring)
MTH 401	History of Mathematics	1 hr.	A course designed to explore and study topics in the history of mathematics. Prerequisite: MTH 125.< (Offered Fall)
MTH 452	Complex Analysis	3 hrs.	The complex numbers; functions and continuity of complex variables; differentiability; Cauchy-Riemann conditions; contour integral theorem; sequences and series; the calculus of residues. Prerequisite: MTH 227. (Offered Fall and/or Spring).
MTH 453	(ST 453) Probability and Statistics	3 hrs.	Probability axioms; methods of enumeration; conditional probability; independence; empirical frequency distribution; discrete and continuous random variables; expectation; moment generating functions; joint distributions; sums of random variables; limit theorems. Prerequisite: MTH 126 or MTH 146. (Offered Fall, Spring and Summer)
MTH 454	Advanced Calculus	3 hrs.	Topics of advanced nature in differential and integral calculus. Emphasis is placed on the understanding of concepts and on the basic principles of analysis. Prerequisite: MTH 227.
MTH 480	Selected Topics in Mathematics	3 hrs.	A course designed to discuss current topics in algebra and/or analysis. Prerequisite: MTH 301 or MTH 351 or consent of instructor (Offered Fall, and/or Spring)
MTH 481	Senior Project	3 hrs.	A course designed for mathematics majors who are conducting a senior mathematics project under the direction of a mentor. This course is open only to Mathematics & Secondary Education Mathematics majors. Prerequisites: MTH 301 or MTH 351 or consent of instructor (Offered Fall, Spring)
MTH 482	Independent Study	1 hr.	A course designed for investigative study in an area of contemporary mathematics under the supervision of a senior mathematics instructor. Prerequisite: MTH 237 or consent of instructor (Offered Spring)
ST 327	Applied Regression Analysis	3 hrs.	A study of least squares; simple, polynomial and multiple linear regression including residual and lack-of-fit analysis; simple multiple, partial, and multiple-partial correlation; analysis of covariance; model building algorithms, analysis of variance, and computer-assisted data analysis. Prerequisite: ST 324. (Offered Fall or Spring)
ST 344	(MTH 344) Design and Analysis of Experiments I	3 hrs.	A study of the fundamental concepts and basic principles of design, construction and analysis of experimental designs. Designs to be included are completely randomized complete block, Latin square, Graeco-Latin square, split-plot, multiple comparison, and factorial. Prerequisite: ST 327. (Offered Fall or Spring)
ST 444	(MTH 444) Design and Analysis of Experiments II	3 hrs.	A continuation of ST 344. Topics include incomplete block designs, analysis of covariance; regression approach to the analysis of selected design such as two-way unequal cells, factorial confounding techniques, fractional replication, response surface methodology, evolutionary operations, cross-over and repeated measure designs; and selected transformations and heterogeneity of variance techniques. Prerequisite: ST 344. (Offered Fall or Spring)
ST 473	(MTH 473) Statistics	3 hrs.	An introduction to the theory of statistics. Topics include sampling distributions, estimation, hypothesis testing, linear models, analysis of variance, nonparametric and distribution-free procedures. Prerequisite: ST 453. (Offered Fall or Spring)