MATH-090 Elementary Algebra (3) A
A review of basic mathematics, essentially at the level of ninth grade algebra. Decimals, fractions, proportions, percents, introductory algebra, and geometry.
This course may not count toward any degree program. A preparatory course, it does not carry college-level credit (earned hours) nor a traditional grade. Graded MP (math proficiency met) or MN (math proficiency not met). May not be taken on an audit basis.
MATH-100 Health Mathematics (2) D
Problem solving, percents, metric conversions, algebraic calculations, medicinal preparations, dilutions, dosage-weight relationships, IV drip rates.
May not count toward any major or minor program in mathematics.
MATH-105 Intermediate Algebra (3) A
Review of rational expressions; exponents, roots, and radicals; linear equations and inequalities; quadratics; quadratic equations and inequalities; systems of linear equations; matrices; graphing; an introduction to functions.
Designed as a "bridge" to more advanced course work in mathematics for students with a particularly weak background in algebra. Students who have had a previous course in calculus will not be admitted into MATH-105. May not count toward any major or minor program in mathematics.
MATH-108 Discovery in Mathematics (3) A
Problem-solving, numbers and number theory, geometry, measurement, and statistics. The course emphasizes a problem-solving approach to these topics and is intended to promote both critical thinking and mathematical skill.
May not count toward any major or minor program in mathematics. Prerequisite: Minimum mathematics proficiency.
MATH-150 Finite Mathematics (4) A
Methods for solving systems of equations/inequalities; sets, counting techniques, algebraic expressions, probability, systems of equations, matrices, the simplex method; and introduction to statistics. Applications in a variety of fields.
May not count toward any major or minor program in mathematics. (Students with a particularly weak background in algebra should consider MATH-105 as an aid to success in this course.) Prerequisite: Minimum mathematics proficiency or consent of the department.
MATH-180 College Algebra and Trigonometry (4) Y
Products, factoring, fractions, linear and quadratic equations, graphs, inequalities, functions, exponents, logarithms, polynomials, complex numbers and systems of equations. Trigonometric functions, solution of plane triangles, multiple- angle formulas, trigonometric identities, graphs of trigonometric functions, inverse trigonometric functions, and polar complex numbers.
May not count toward any major or minor program in mathematics. Students who have had any previous course in calculus will not be admitted into MATH-180, and it is recommended that students who have succeeded in a trigonometry course take a more advanced mathematics course. (Students with a particularly weak background in algebra should consider MATH-105 as an aid to success in this course.) Prerequisites: One year of high school algebra, one year of high school geometry, and minimum mathematics proficiency, or consent of department.
MATH-185 Orientation to the Mathematical Sciences (1) SI
A course for majors in Mathematics or Mathematics Teaching. This course is intended to acquaint students with the academic programs and facilities of the department, and those of the university at large, and to inform students about professional, educational, and technological issues and opportunities that they will confront in the long-term transition from student to professional.
Should be taken as soon as possible by all majors in Mathematics and Mathematics Teaching.
MATH-190 Calculus and Analytic Geometry I (4) A
Limits, derivatives of algebraic and trigonometric functions, continuity, techniques of differentiation. Applications to graphing, optimization, velocity, and rate of change. Introduction to differential equations.
Prerequisite: MATH-180 or its equivalent, or consent of department. (Most students whose background includes success in three years of high school mathematics will be well-prepared for this course.)
MATH-191 Calculus and Analytic Geometry II (4) A
Antiderivatives, definite and indefinite integration; applications to area. Techniques of integration; applications of the definite integral. Indeterminate forms; infinite sequences and series. Differential equations, parametric equations.
Prerequisite: MATH-190 or its equivalent.
MATH-195 Discrete Mathematics (4) A
A study of discrete structures, with topics selected from sets, functions and relations, Boolean algebra, combinatorics, and graph theory.
MATH-208 Elementary Teachers' Mathematics I (3) SI
Problem solving, sets, functions, numeration systems, whole numbers, integers, rational numbers, real numbers, number theory, and calculator usage.
May not count toward a mathematics major or minor. Prerequisites: One year of high school algebra, one year of high school geometry, and minimum mathematics proficiency, or consent of department.
MATH-210 Elementary Teachers' Mathematics II (3) SII
Basic concepts of geometry in two and three dimensions, geometric constructions and congruence, coordinate geometry, topology, transformational geometry, metric system, calculator usage, probability, and statistics.
May not count toward a mathematics major or minor.Prerequisites: One year of high school algebra, one year of high school geometry, minimum mathematics proficiency, and MATH- 208, or consent of department.
MATH-220 Elementary Statistics (4) A
Probability and statistics; applications to various fields. Statistical software and computer lab sessions form an important part of this course.
May not count toward a mathematics major. Prerequisite: MATH-150, 180, or 190 or the equivalent of any of these, or consent of department.
MATH-245 Statistics for the Sciences (4) Y
Basic aspects of descriptive statistics, procedures underlying one- and two-sample hypotheses, in-depth work in analysis of variance and simple linear/multiple regression analysis. Statistical software and computer lab sessions form an important part of this course.
May not count toward a mathematics major. Prerequisites: MATH-150, 180, or 190 or the equivalent of any of these, or consent of department.
MATH-270 Calculus and Analytic Geometry III (4) SI
Vectors, curves, and surfaces in three dimensions; partial differentiation; multiple integrals; vector analysis. Parametric equations. Polar coordinates.
Prerequisite: MATH-191 or its equivalent, or consent of department.
MATH-280 Linear Algebra (4) SI
Systems of linear equations, matrices, canonical forms, fundamental theorems of matrix algebra. Vector spaces and subspaces, dimension. Linear transformations and their matrix representation. The course will place equal emphasis on the geometric motivation of topics, the theoretical import of major theorems, and the application of concepts.
Prerequisite: MATH-191 or its equivalent, or consent of department.
MATH-300 Foundations of Abstract Mathematics (3) SII
A course for majors in Mathematics and Mathematics Teaching, also appropriate for Mathematics Minors. This course emphasizes exploration, discovery, and proof as techniques crucial to the mathematician. It provides a conceptual "bridge" between the largely calculation-based mathematics encountered in the calculus sequence, and the more abstract and theoretical expectations of later course work.
Prerequisite: MATH-191 or its equivalent, or consent of the department. (MATH-280 is a recommended pre- or corequisite.)
MATH-320 Problem Solving (1/2-1) SII
Techniques of problem solving in the mathematical sciences.
Since the problems and topics studied in this course will vary from year to year, the course may be taken for credit up to four times. Prerequisite or corequisite: MATH-190 or its equivalent, or consent of the department.
MATH-325 Special Topics in Mathematics (1/2-4) D
Advanced or special topics not covered in other mathematics courses such as advanced number theory, topics in advanced abstract algebra or real analysis or topology, differential geometry, mathematical logic, set theory, complex analysis, actuarial mathematics, advanced statistics, directed student research, or operations research.
Students may enroll in this course more than once, but only once for a given topic. Prerequisite or corequisite: MATH-280; additional prerequisites determined by the nature of the topic.
MATH-330 Differential Equations (3) SII
Ordinary differential equations, techniques for their solution, and various applications.
Prerequisite: MATH-191 or its equivalent, or consent of department.
MATH-380 Modern Geometries (3) SII
Euclidean, transformational, and projective geometry, topology, hyperbolic and elliptic non-Euclidean geometries.
Prerequisite: MATH-300 or consent of department.
MATH-400 History of Mathematics (3) D
A brief study of the historical and philosophical development of mathematics, including geometry (Euclidean and non-Euclidean) and calculus. Famous theorems and problems; calculating devices; famous mathematicians and the historical development of the mathematical community.
Prerequisite: MATH-191 or its equivalent, or consent of the department.
MATH-420 Number Theory (3) D
Numbers and their representations, divisibility and factorization, congruencies, modular arithmetic, Diophantine equations and their solution, Pell equations. Primes and their distribution, number-theoretic functions, number-theoretic algorithms.
Prerequisite: MATH-300 or consent of the department.
MATH-430 Abstract Algebra I (3) O/SI
A course on group theory. Groups, subgroups and normal subgroups, factor groups, product groups, homomorphisms and isomorphisms. Fundamental homomorphism theorems, structure of finite abelian groups. An introduction to ring theory. Formerly MATH-390.
Prerequisites: MATH-280 and 300, or consent of department.
MATH-431 Abstract Algebra II (3) O/SII
Continuation of MATH-430; a course on rings and fields. Rings, integral domains, fields and field extensions. Algebraic extensions, splitting fields, Galois theory. Formerly MATH-391.
Prerequisite: MATH-430 or its equivalent.
MATH-450 Probability and Statistics I (3) SI
A survey of the general theory of probability and statistics, including permutations and combinations, discrete and continuous variables, the theory of sampling, models for regressions, and statistical inference. Statistical software and computer lab sessions form an important part of this course.
Prerequisites: MATH-191 and MATH-280, or consent of department.
MATH-451 Probability and Statistics II (3) SII
Continuation of MATH-450. Further examination and elaboration of the statistical topics discussed in MATH-450, and additional topics in probability and statistics. Statistical software and computer lab sessions form an important part of this course.
Prerequisite: MATH-450 or its equivalent.
MATH-480 Real Analysis I (3) O/SI
Basic set theory, sequences and subsequences, structure of the real numbers, topology of the real line and Euclidean n-space, limits, convergence, continuity, derivatives, and functions of bounded variation.
Prerequisite: MATH-300 or consent of the department.
MATH-481 Real Analysis II (3) O/SII
Continuation of MATH-480. The Riemann-Stieltjes integral, Fourier series and integrals, infinite sums and products, sequences of functions, the Lebesgue integral, and Lp spaces.
Prerequisite: MATH-480.
MATH-485 Topology (3) D
A course in elementary point-set topology. The basic topology of Euclidean and metric spaces. Topological generalizations of ideas of limit and continuity. Topological invariants, separation axioms, connectedness, compactness, topological morphisms; the classification of topological spaces.
Prerequisite: MATH-480 or consent of the department.
