Mathematics and Statistics (MATH) Undergraduate Course Descriptions
MATH 070. Basic Mathematics Concepts
An integrated review of basic algebraic and geometric concepts. Emphasis on problem solving, writing to explain methods and solutions, and collaborative learning. Course credits apply towards financial aid requirements and GPA (grade point average), but do not count towards graduation. Offered by the Math Skills Center. 3 Cr. F, S, SUM.
MATH 072. Intermediate Algebra
Linear equations, inequalities, polynomials, graphs, systems of equations, algebraic fractions, radicals, quadratic equations, exponents, functions. Course credits apply towards financial aid requirements and GPA (grade point average), but do not count towards graduation. Offered by the Math Skills Center. Prereq.: 070 or high school advanced algebra with satisfactory math placement score. 3 Cr. F, S, SUM.
MATH 105. Cultural Mathematics
Topics selected by the instructor to demonstrate the nature of mathematics. 3 Cr. DEMAND.
MATH 111. Technical Mathematics
Applications of linear and quadratic functions, systems of equations, exponential and logarithmic functions and trigonometric functions. No more than 5 credits from MATH 111, 112, 113, and MATH 115 may be counted toward graduation. Prereq.: MATH 072, or high school advanced algebra with satisfactory math placement score. 3 Cr. DEMAND.
MATH 112. College Algebra [Goal 4]
Functions and graphs; polynomial, radical, rational, exponential, logarithmic functions; equations, inequalities, systems of equations and inequalities; applications. No more than 5 credits from MATH 111, 112, 113, and MATH 115 may be counted toward graduation. Prereq.: MATH 072 or high school advanced algebra with satisfactory math placement score. 3 Cr. F, S, SUM.
MATH 113. Trigonometry [Goal 4]
Trigonometric functions and their graphs; inverse trigonometric functions; trigonometric identities, equations, trigonometric applications. No more than 5 credits from MATH 111, 112, 113, and MATH 115 may be counted toward graduation. Prereq.: MATH 112 or high school precalculus with satisfactory math placement score. Prereq.: MATH 112, or high school precalculus with satisfactory math placement score. 2 Cr. F, S.
MATH 115. Precalculus [Goal 4]
Functions and their graphs; polynomial, rational, radical, logarithmic, trigonometric and inverse trigonometric functions; algebraic and trigonometric equations and inequalities, identities, trigonometric applications. No more than 5 credits from MATH 111, 112, 113, and MATH 115 may be counted toward graduation. Prereq.: MATH 072, or high school advanced algebra with a satisfactory math placement score. 5 Cr. F, S.
MATH 171. Fundamentals of Mathematics
Mathematics as a problem solving tool. Concepts of sets, logic, induction, combinatorics, numeration, recursion, trees, graph theory, and matrices. Prereq.: 072 or high school advanced algebra with satisfactory math placement score. 3 Cr. S.
MATH 193. Mathematical Thinking [Goal 4]
Development of problem solving and decision making strategies using mathematical tools from arithmetic, algebra, geometry, probability, and statistics. Skills to communicate and defend solutions and decisions. Prereq.: MATH 070 or high school advanced algebra with a satisfactory math placement score. 3 Cr. F, S, SUM.
MATH 196. Finite Mathematics [Goal 4]
Functions (linear, quadratic, exponential, and logarithmic), simple and compound interest, annuities, introduction to linear programming, and probability. Mathematical modeling and applications related to business and economics. Intended for all business majors. Prereq.: MATH 072 or high school advanced algebra with a satisfactory math placement score. 3 Cr. F, S, SUM.
MATH 201. Elements of Mathematics I [Goal 4]
Nature of mathematics from a problem solving approach using sets, relations, number systems, discrete mathematics, and basic algebra. Prereq.: 072 or high school advanced algebra with satisfactory math placement score. 3 Cr. F, S, SUM.
MATH 211. Survey of Calculus I [Goal 4]
Ideas and concepts of calculus. Topics from differential and integral calculus of one variable. Applications to business, life sciences, economics, and other disciplines. Prereq.: 111, 112, or 115, 196, or satisfactory math placement score. 3 Cr. F, S, SUM.
MATH 212. Survey of Calculus II
Differentiation and integration of trigonometric functions, integration techniques and applications, three-dimensional analytic geometry, multivariable calculus and differential equations. Prereq.: 211. 3 Cr. S.
MATH 221. Calculus and Analytic Geometry I [Goal 4]
Limits, continuity, differentiation, applications of derivatives, integration. Prereq.: 115, or 112 and 113, or high school advanced algebra and trigonometry with a satisfactory math placement score. 5 Cr. F, S, SUM.
MATH 222. Calculus and Analytic Geometry II [Goal 4]
Integration techniques and applications, inverse functions, topics in analytic geometry, sequences and series, improper integrals, plane curves. Prereq.: 221. 4 Cr. F, S.
MATH 252. Mathematical Problem Solving with MATLAB
MATLAB, a mathematical computing and programming environment, will be introduced and used to simulate, model and solve mathematically based problems. Prereq.: 221. Coreq.: 222. 3 Cr. S.
MATH 273. Discrete Mathematics I
Logic, proof, mathematical induction, finite and infinite sets, relations, functions, introduction to number theory. Prereq.: 221. 3 Cr. F, S.
MATH 301. Mathematics for Elementary Teachers II
Continuation of MATH 201, including sequences and growth, algebraic concepts, informal geometry and measurement, statistics, and probability. Prereq.: 201. 3 Cr. F, S, SUM.
MATH 311. Linear Algebra and Multivariable Calculus for Engineering Majors
Systems of linear equations and their matrix representations, determinants, Cramer's rule, vector spaces, linear independence, basis and dimension, inner products, equations of lines and planes in R3, multivariable functions, partial differentiation and multiple integration with applications. Prereq.: 222. 3 Cr. F, S.
MATH 312. Linear Algebra
Matrices, matrix operations, systems of linear equations, determinants, geometry of R-n, vector spaces, subspaces, linear transformations, inner products, eigenvalues. Prereq.: 211 or 221. 3 Cr. F, S.
MATH 321. Vector and Multivariable Calculus
Vectors, functions of several variables, gradients, multiple integrals, vector fields, Green's & Stoke's theorems, applications. Prereq.: 222. 4 Cr. F, S.
MATH 325. Differential Equations
First and second order differential equations with applications; matrices, determinants, bases, eigenvalues; systems of linear equations with constant coefficients; initial value problems and general solutions; variation of parameters. Prereq.: 222. 3 Cr. F, S.
MATH 336. Data Analysis and Probability for K-8 Teachers
Data collection and organization measures of central tendency and variance; inferences and convincing arguments; subjective, theoretical, experimental, and conditional probability; simulation; counting principles; mathematical expectation. Techniques, technology, and current trends in teaching and learning of data analysis and probability. Prereq.: 112, 171, 330. 3 Cr. S.
MATH 337. Geometry for K-8 Teachers
Geometric concepts, spatial visualization, spatial reasoning, justification, and proof. Techniques, technology, and current trends in the teaching and learning of geometry. Prereq.: 112, 171 or 211, and 330. 3 Cr. F.
MATH 353. Operations Research Models
Construction and solution of mathematical models associated with operations research. Prereq.: 222. 3 Cr. Even S.
MATH 373. Discrete Mathematics II
Basic counting techniques, permutations and combinations with and without repetitions, binomial and multinomial coefficients, inclusion-exclusion, pigeonhole principle, recurrence relations, generating functions, complexity of algorithms, introduction to graph theory. Prereq.: 273. 3 Cr. F, S.
Mathematics and Statistics (MATH) Courses for Advanced Undergraduate and Graduate Students
MATH 421/521. Introduction to Real Analysis I
The real number system, sequences and limits, continuity and differentiation. Upper and lower bounds, the completeness axiom for real numbers, Cauchy sequences, the Bolzano-Weierstrass property, the extreme value theorem, the intermediate value theorem, the mean value theorem, L'Hospital's rule and Taylor's theorem. Prereq.: 222, 273. 3 Cr. Even F.
MATH 422/522. Introduction to Real Analysis II
Series, power series, uniform and pointwise convergence, Reimann integration, and applications. Prereq.: 421. 3 Cr. DEMAND.
MATH 423/523. Complex Variables I
The complex field, the theory of analytic functions, power series. Fundamental theorem of algebra. Prereq.: 311 or 321. 3 Cr. F, ODD.
MATH 427/527. Partial Differential Equations
Partial differential equations of mathematical physics, boundary value problems, classical solution methods, Bessel functions. Prereq.: (311 or 321), 325. 3 Cr. Odd S.
MATH 431/531. Professional Subject Matter for Middle Grades Mathematics
For teacher candidates only. Number sense, patterns and functions, number theory, geometry, data analysis and probability, current curriculum and pedagogical developments, lesson planning, and microteaching. Prereq.: for Elementary Education majors: MATH 112, 171 or 211, 330. Prereq. for Secondary Education majors: ED 300, MATH 321, 373 or permission of instructor. 3 Cr. F.
MATH 432/532. Professional Subject Matter for Secondary School Mathematics
For teacher candidates only. Algebra, geometry, data analysis, and advanced topics; current curriculum and pedagogical developments, lesson planning, and microteaching. Coreq.: Must be taken concurrently with ED 421-521 or ED 437-537, but not with MATH 431. 4 Cr. S.
MATH 435/535. Teaching Problem Solving in Elementary School Mathematics
Problem solving strategies, teaching problem solving, problem solving via concrete materials, cooperative learning. For elementary education majors only. Prereq.: 330 or permission of instructor. 3 Cr. DEMAND.
MATH 452/552. Numerical Analysis
Round-off error and computer arithmetic. Solutions of equations in one variable. Interpolation and polynomial approximation. Numerical integration and differentiation. Error Analysis. Prereq.: 222, 252 or permission of instructor. 3 Cr. Odd F.
MATH 453/553. Numerical Linear Algebra
Direct and iterative solutions in linear algebra. Orthogonal polynomials, splines and least squares approximations. Error analysis. Prereq.: 222, either 311 or 312, and either 252 or CSCI 201. 3 Cr. Even F.
MATH 461/561. Modern Algebra I
Groups, subgroups, cyclic groups, permutation groups, isomorphisms, Cayley's theorem, cosets, LaGrange's theorem, normal subgroups, quotient groups, homomorphisms, the first isomorphism theorem, construction of the integers and rational numbers from the natural numbers, rings, integral domains, and fields. Prereq.: 273, and either 311 or 312 or consent of instructor. 4 Cr. F, S.
MATH 462/562. Modern Algebra II
Ideals, factor rings, ring homomorphisms, polynomial rings, factorization of polynomials, irreducible polynomials, Euclidean domains, introduction to fields, extension fields, splitting fields, algebraic and transcendental numbers, geometric construction. Prereq.: 461. 3 Cr. DEMAND.
MATH 465/565. Elements of Geometry
An analysis of axiomatic systems, a critique of Euclid, an axiomatic development of neutral, Euclidean, Lobachevskian and Riemannian geometries, and an introduction to transformational geometry. Prereq.: high school geometry, MATH 273 and 312. 3 Cr. S.
MATH 480/580. Topics in Mathematics
Designed for intensive study in a special topic in pure or applied mathematics. Topic will be announced in class schedule. Approval of instructor required for enrollment. May be repeated to maximum of 6 Cr. 3 Cr. DEMAND.
MATH 482/582. Student Teaching Seminar
For teacher candidates only. Reflections of and extensions of the student teaching experience in a seminar format; individual classroom observations. Must be taken concurrently with student teaching. S/U grading option only. 2 Cr. F, S.
MATH 483/583. Topics in Elementary School Mathematics
In depth study of a special topic in mathematics relevant to the elementary school curriculum. Prereq.: 330 or permission of instructor. 3 Cr. DEMAND.
