USP Codes are listed in brackets by the 1991 USP code followed by the 2003 USP code (i.e. [M2<>QB]).

1000. Problem Solving. 3. [M1<>QA] For students not planning to enroll in MATH 1400, 1450 or a calculus course. Examines modern topics chosen for their applicability and accessibility. Provides students with mathematical and logical skills needed to formulate, analyze and interpret quantitative arguments in a variety of settings. Introduces statistics and stresses the use of a calculator. Prerequisite: grade of C or better in Math 0921 (131) or Level 2 on the Math Placement Exam or Math ACT of 21 or Math SAT of 600. Note: MATH 1000 is neither a prerequisite nor suitable preparation for MATH 1400 (College Algebra).

1050. Finite Mathematics. 3. [M2<>QB] Introduces finite mathematics for majors not requiring calculus. Includes matrix algebra, Gaussian elimination, set theory, permutations, probability and expectation. Prerequisite: grade of C or better in MATH 1000, 1400 or 1105 or Level 4 on the Math Placement Exam or Math ACT of 26 or Math SAT of 600

1100. Number and Operations for Elementary School Teachers. 3. For prospective elementary school teachers; purpose is to prepare students to be competent in teaching the major concepts and skills related to the real number system and four arithmetic operations. Includes asking and answering critical questions about subsets of the real number system, including natural, integer, and rational numbers. Prerequisite: grade of C or better in MATH 0921 or Level 2 on the Math Placement Exam or Math ACT of 21 or Math SAT of 600.

1105. Data, Probability, and Algebra for Elementary School Teachers. 3. [M2<>QB] Continuation of MATH 1100 for prospective elementary teachers; emphasis is on asking and answering critical questions about our world through algebra, probability, and data analysis to prepare students to be competent in teaching these major concepts. Explorations focus on representing, analyzing, and generalizing patterns and the chances of future events. Prerequisite: grade of C or better in MATH 1100. Prerequisites: grade of C or better in MATH 1100.

1305. Bit Streams and Digital Dreams. 3. [(none)<>I] Introduction to information theory, coding theory and cryptology. Principles and practice of quantifying, compressing, encrypting, decrypting and protecting digital information from transmission errors or unauthorized human access. Emphasis on historical and current applications rather than on mathematical foundations.

1400. College Algebra. 3. [M1<>QA] Emphasizes aspects of algebra important in the study of calculus. Includes notation of algebra, exponents, factoring, theory of equations, inequalities, functions, graphing and logarithms. For students who plan to enroll in a calculus course (MATH 2200 or 2350). Students receiving credit for MATH 1450 may not receive credit for this course. Prerequisite: grade of C or better in MATH 0925 (132) or Level 3 on the Math Placement Exam or Math ACT of 23 or Math SAT of 600.

1405. Trigonometry. 3. [M1<>QA] Emphasizes aspects of trigonometry important in the study of calculus. Interplay between trigonometric expressions and their graphs. Students are expected to use a graphing calculator in the course and on exams. See instructor for specifications. Topics include angle measurement, trigonometric functions, graphing, laws of sines and cosines, identities, equations, polar equations and graphs, vectors, complex numbers and DeMovre's theorem. For students with little or no prior knowledge of trigonometry who plan to enroll in MATH 2200. Students receiving credit for MATH 1450 may not receive credit for this course. Prerequisites: grade of C or better in MATH 1400 or Level 4 on the Mathematics Placement Exam or Math ACT of 25 or Math SAT of 600.

1450. Algebra and Trigonometry. 5. [M1<>QA] Emphasizes aspects of algebra, trigonometry and problem solving important in the study of calculus. Functions and their applications to real world problems. Classes of functions including polynomial, exponential, logarithmic and trigonometic functions. Intuitive introduction to the idea of limit and sequence which are developed further in the calculus sequence. For the student with considerable prior exposure to trigonometry and algebra. Graphing calculators are used frequently in class and on assignments. See instructor for specifications. Students with both MATH 1400 and 1405 credit may not receive credit for this course. Prerequisite: grade of C or better in MATH 0925 (132) or Level 3 on the Mathematics Placement Exam or Math ACT of 23 or Math SAT of 600.

2120. Geometry and Measurement for Elementary School Teachers. 3. Continuation of MATH 1105 for prospective elementary teachers; emphasis is asking and answering critical questions about spatial reasoning as evident in the real world. Includes investigations of two- and three-dimensional shapes and their properties, measurements, constructions, and transformations to prepare students to be competent in teaching these concepts. Prerequisite: grade of C or better in MATH 1105.

2200. Calculus I. 4. [M2<>QB] Emphasizes physical science applications. Includes plane analytic geometry, differentiation, applications of the derivative, differential equations, integration and applications. Prerequisite: grade of C or better in MATH 1405 or 1450 or Level 5 on the Mathematics Placement Exam or Math ACT of 27 or Math SAT of 600.

2205. Calculus II. 4. [M2<>(none)] Continues MATH 2200. Includes elementary functions, derivatives, integrals, analytical geometry, infinite series and applications. Prerequisite: grade of C or better in MATH 2200 or Advanced Placement credit in MATH 2200.

2210. Calculus III. 4. [M2<>(none)] Continues MATH 2200, 2205. Includes vectors and solid analytic geometry, partial differentiation and multiple integration. Prerequisite: grade of C or better in MATH 2205 or Advanced Placement credit in MATH 2205.

2250. Elementary Linear Algebra. 3. Studies linear equations and matrices, vector spaces, linear transformations, determinants, orthogonality, eigenvalues and eigenvectors. Prerequisite: grade of C or better in MATH 2200 or 2350.

2300. Discrete Structures. 3. Introduces the mathematical concepts that serve as foundations of computer science: logic, set theory, relations and functions, graphs (directed and undirected), inductively defined structures (lists and trees), and applications of mathematical induction.  Provides an introduction to abstract and rigorous thinking in advanced mathematics and computer science. Cross listed with COSC 2300. Prerequisites: grade of C or better in COSC 1030, MATH 2200 or 2350.

2310. Applied Differential Equations I. 3. [M2<>(none)] Combines with MATH 3310 for one-year series in applied mathematics. Includes solution of ordinary differential equations, integral transforms. Emphasizes construction of mathematical models arising in physical science and other areas. Prerequisite: grade of C or better in MATH 2205. (Note: MATH 2210 is required for the sequel.)

2350. Business Calculus. 4. [M2<>QB] Combines with 2355 for one-year series in business math, primarily for students in the College of Business. Includes review of functions, their graphs and algebra; derivatives and their applications; exponential and logarithmic functions; integration and applications; and applications are generally geared to business problems. Prerequisite: grade of C or better in MATH 1400 or Level 4 on Math Placement Exam or Math ACT of 26 or Math SAT of 600.

2355. Mathematical Applications for Business. 4. Continues business and economic applications of mathematics. Also includes linear equations and programming, finance, probability and statistics. Mandatory computer lab using spreadsheet software will meet one day per week. Prerequisites: grade of C or better in MATH 2200 or 2350.

2800. Mathematics Major Seminar. 2 (Max. 4). Introduces mathematics majors and mathematics minors to mathematical investigation and discovery. Typically, a range of topics are covered; may include reading assignments and group or individual work on projects for presentation. Offered S/U only.

2850 [3800]. Putnam Team Seminar. 2 (Max. 8). Preparation for the William Lowell Putnam Mathematical Competition. Problem solving strategies and mathematical content appropriate for the Putnam Exam are emphasized with problem sets taken from previous Putnam or other international math contests. Offered S/U only. Prerequisites: MATH 2200, 2205.

3000. Fundamental Concepts of Mathematics. 3. [M3<>(none)] An introduction to mathematical proof. Topics include elements of propositional logic, naïve set theory, and proof techniques such as direct proof, proof by contrapositive, mathematical induction, and proof by contradiction. Explores applications of these concepts to number theory, mathematical analysis, and other branches of mathematics. Prerequisite: grade of C or better in MATH 2250. (Offered fall semester)

3200. Polynomials. 3. [M3<>(none)] Rigorous study of polynomials, including an introduction to mathematical proof. Includes basic properties of polynomials and their roots together with connections to algebra, analysis, geometry, number theory, and numerical analysis. Prerequisite: grade of C or better in MATH 2250. (Offered spring semester)

3310. Applied Differential Equations II. 3. Continues MATH 2310. Includes partial differential equations, Fourier series, boundary value problems, series solutions of ordinary differential equations, linear algebra, linear systems of equations and numerical methods. Prerequisites: grade of C or better in MATH 2210 and 2310.

3500. Applied Algebra. 3. Shows how uses of algebraic structures in computer science and physical sciences have increased dramatically in recent years. Introduces some of these structures (partial orderings, groups, codes, fields and algebras) and their applications to other disciplines. Prerequisites: grade of C or better in MATH 2250 and 2300 or 3200 or 3000. (Offered fall semester)

3550. Introduction to Abstract Algebra. 3. Provides basic introduction to groups, rings and fields. Emphasizes axiomatic development. Includes applications to number theory and geometry. Prerequisite: grade of C or better in MATH 3200 or 3000. (Offered spring semester)

4000. History of Mathematics. 3. Explores the roots of mathematics, and the people who made significant contributions to it. Mathematical subjects typically include algebra, calculus and number theory; both chronological and topical approaches are employed. Prerequisite: grade of C or better in MATH 2205. (Offered spring semester)

4100. Mathematics in the Elementary School. 1-6 (Max. 6). Acquaints prospective or experienced teachers of mathematics with newer developments in mathematics curriculum and materials. Emphasizes mathematical basis for courses in an elementary mathematics curriculum; organization and design of mathematics programs for grades K-7; and design and construction of curriculum and/or materials to meet specific needs of the teacher or school district. Prerequisites: grade of C or better in MATH 1105 and consent of instructor.

4150. Secondary School on Campus. 1-4 (Max. 8). Provides prospective teachers opportunity to study mathematics as it relates to the secondary school. Topics may vary from semester to semester. Emphasizes current trends and concerns of secondary school mathematics education. Prerequisites: grade of C or better in MATH 2205 and 3200 or 3000. (Offered fall semester)

4200. Mathematical Analysis I. 3. [M3<>(none)] Combines with MATH 4205 for a one-year series providing rigorous treatment of the foundations of mathematical analysis. Includes discussion of properties of real numbers, set theory, elementary metric space topology, series and sequences, limits, continuity, differentiation, Riemann and Riemann-Stieltjes integration, sequences and series of functions, equicontinuity, functions of several variables, inverse and implicit function theorems, and multi-dimensional integration theory. Prerequisites: grade of C or better in MATH 2250 and 2210 and either 3200 or 3000. (Offered fall semester)

4205. Mathematical Analysis II. 3. Continues MATH 4200. Prerequisite: grade of C or better in MATH 4200. (Offered spring semester)

4230. Introduction to Complex Analysis. 3. Develops the theory of functions of one complex variable. Topics include the algebra and geometry of complex numbers, functions of one complex variable, elementary functions, limits, continuity and differentiation. Differentiability leads to the Cauchy theorem, integral theorems, power series, residue theory and applications to integration theory and boundary value problems. Prerequisite: grade of C or better in MATH 2210. (Offered spring semester)

4255 [4250]. Mathematical Theory of Probability. 3. [M3<>(none)] Calculus-based. Introduces mathematical properties of random variables. Includes discrete and continuous probability distributions, independence and conditional probability, mathematical expectation, multivariate distributions and properties of normal probability law. Cross listed with STAT4255. Prerequisite: grade of C or better in MATH 2210. (Offered fall semester)

4265 [4260, 4010]. Introduction to the Theory of Statistics. 3. Presents derivations of theoretical and sampling distributions. Introduces theory of estimation and hypothesis testing. Cross listed with STAT 4265. Prerequisite: MATH 4255.

4300. Introduction to Mathematical Modeling. 3. A model of a real world problem captures the essential features of the problem, while scaling it down to a manageable size. In this course, symbolic tools and mathematical techniques are used to construct, analyze and interpret various mathematical models which arise from problems in the physical, biological and social sciences. Prerequisite: grade of C or better in MATH 2250 or 3310. (Offered fall semester)

4340. Numerical Analysis. 3. Considers computer methods and their accuracy for applied mathematics. Topics include machine arithmetic, analysis of rounding error, solution methods for linear systems and nonlinear equations, interpolations, numerical differentiation and integration, and numerical solution of differential equations. Will include some programming. Cross listed with COSC 4340. Prerequisites: grade of C or better in COSC 1010, MATH 2310, and either MATH 2250 or 3310; or consent of instructor. (Offered spring semester)

4400. Vector Calculus. 3. Offers less rigorous treatment of multivariable calculus than MATH 4205. Includes sequences and series of functions, power series and Taylor's theorem, partial differentiation, implicit functions, Lagrange multipliers, double and triple integrals, vector fields, line and surface integrals and applications to fluid flow, divergence and gradients. Prerequisites: grade of C or better in MATH 2250 or 3310 and 2210. (Offered fall semester)

4420. Advanced Logic. 3. Studies advanced topics in mathematical logic. Takes up such topics as: uninterpreted calculi and the distinctive contributions of syntax and semantics; methatheory, including completeness and consistency proofs; modal logic and semantics; logic as a philosophical tool. Cross listed with COSC/PHIL 4420. Prerequisite: PHIL 3420 or equivalent.

4440. Partial Differential Equations I. 3. Includes first order partial differential equations, classification of 2nd order equations and canonical forms, elementary elliptical, hyperbolic and parabolic boundary value problems, transform methods, series solutions and Green's functions. Prerequisites: grade of C or better in MATH 2210 and MATH 2310.

4500. Matrix Theory. 3. Continuation from MATH 2250 of the study of matrices, an important tool in statistics, physics, engineering and applied mathematics in general. Concentrates on the structure of matrices, including diagonalizability; symmetric, hermitian and unitary matrices; and canonical forms such as Jordan form. Prerequisite: grade of C or better in MATH 2250. (Offered fall semester)

4550. Theory of Numbers. 3. Studies topics in mathematics which are motivated by questions about integers. Topics include divisibility, congruences, diophantine equations, quadratic residues, primitive roots, primes, and representations of positive integers. Prerequisite: grade of C or better in MATH 3000 or 3200. (Offered spring semester)

4600. Foundations of Geometry. 3. Broadens the students understanding of the many faces of geometry and provides a context for the specific case of Euclidean geometry. Various approaches will be presented, including axiomatic, synthetic, coordinate, and transformational methods. Prerequisite: grade of C or better in MATH 3200 or 3000. (Offered fall semester)

4800. Seminar in Mathematics. 1-3 (Max. 6). Exposes students to problems and thinking in mathematics which would otherwise be unavailable. Prerequisite: consent of instructor.

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Last Change: 02/26/09