| Math 300 [ 3 ] Computing in the Mathematics Curriculum |
| Description: Use of computers and graphing utilities in the mathematics classroom. Introduction to hardware and commercial software. Applications of selected programming languages to the teaching of mathematics. |
| Prerequisite: 162 or 181. Restriction: College of Education graduate students. |
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| Math 301 [ 3 ] Calculus for Teachers |
| Description: A penetrating look at functions, derivatives, integrals, and the Fundamental Theorem of Calculus that makes explicit how topics in the secondary school curriculum come to fruition in this fundamental subject. |
| Prerequisite: Restriction: permission of instructor. |
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| Math 305 [ 3 ] Mathematics from a Historical Perspective |
| Description: A survey of mathematical developments prior to 1800; emphasis on problem solving techniques; comparison of older and more modern methods. |
| Prerequisite: 163. Restriction: college of Education graduate students. |
| Semesters offered: Fall |
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| Math 306 [ 3 ] College Geometry |
| Description: An axiomatic approach to fundamentals of geometry, both Euclidean and non-Euclidean. Emphasis on historical development of geometry. |
| Prerequisite: Math 215 or Math 162 |
| Semesters offered: Spring |
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| Math 308 [ 3 ] Theory and Practice of Problem Solving |
| Description: An experience in mathematical invention and discovery at the level of high school geometry and algebra that includes a deeper look at sequences, series, and recursions. |
| Prerequisite: 180 or 162. Corequisite: 306. Restriction: College of Education graduate students. |
| Semesters offered: Offered Upon Demand |
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| Math 309 [ 3 ] Applications of Mathematics |
| Description: An experience in mathematical invention and discovery at the level of high school geometry and algebra that includes a deeper look at sequences, series, and recursions. |
| Prerequisite: 181 or 163. Restriction: College of Education graduate students. |
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| Math 311 [ 3 ] Vector Analysis |
| Description: Vector algebra, lines, planes; vector valued functions, curves, tangent lines, arc length, line integrals; directional derivative and gradient; divergence, curl, Gauss' and Stokes' theorems, geometric interpretations. |
| Prerequisite: Math 264 |
| Semesters offered: Summer, Fall, Spring |
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| Math 312 [ 3 ] Partial Differential Equations for Engineering |
| Description: Solution methods for partial differential equations; science and engineering applications; heat and wave equations, Laplace's equation; separation of variables; Fourier series and transforms; special functions. |
| Prerequisite: Math 264, Math 316 |
| Semesters offered: Summer, Fall, Spring |
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| Math 313 [ 3 ] Complex Variables for Engineering |
| Description: Theory of functions of a complex variable with application to physical and engineering problems. Although not required skill in vector analysis will be helpful in taking this course. |
| Prerequisite: Math 264. |
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| Math 314 [ 3 ] Linear Algebra With Applications |
| Description: Systems of linear equations, Gaussian elimination, matrix algebra, determinants. Vector spaces. Inner product spaces, orthogonality,least squares approximations. Eigenvalues, eigenvectors, diagonalization. Emphasis on concepts, computational methods, and applications. |
| Prerequisite: Math 163 or Math 181, Corequisite: CS 151 or CS 251 or Phys 290 or ECE 131 |
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| Math 316 [ 3 ] Applied Ordinary Differential Equations |
| Description: Introduction to the algorithmic theory of ordinary differential equations. Topics covered: elementary theory of ordinary differential equations, numerical methods, phase-plane analysis, and introduction to Laplace transformations. Third-level calculus is helpful for this class. |
| Prerequisite: Math 163, Corequisite: CS 151 or CS 251 or Phys 290 or ECE 131 |
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| Math 317 [ 3 ] Elementary Combinatorics |
| Description: Basic enumeration including combinations, permutations, set and integer partitions, distributions, and rearrangements, binomial and multinomial theorems together with pigeon-hole and inclusion-exclusion principles and mathematical induction principles. Discrete probability, elementary ordinary generating functions, recurrence relations, and sorting algorithms. |
| Prerequisite: 163 or 181 |
| Semesters offered: Fall |
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| Math 318 [ 3 ] Graph Theory |
| Description: Trees, connectivity, planarity, colorability, and digraphs; algorithms and models involving these concepts. Ability in linear algebra is helpful when taking this course. |
| Semesters offered: Spring |
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| Math 319 [ 3 ] Theory of Numbers |
| Description: Divisibility, congruences, primitive roots, quadratic residues, diophantine equations, continued fractions, partitions, number theoretic functions. |
| Semesters offered: Spring |
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| Math 321 [ 3 ] Linear Algebra |
| Description: Linear transformations, matrices, eigenvalues and eigenvectors, inner product spaces. |
| Prerequisite: Math 264. |
| Semesters offered: Fall, Spring |
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| Math 322 [ 3 ] Modern Algebra I |
| Description: Groups, rings, homomorphisms, permutation groups, quotient structure, ideal theory, fields. |
| Prerequisite: Math 264 |
| Semesters offered: Fall |
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| Math 327 [ 3 ] Introduction to Mathematical Thinking and Discrete Structures |
| Description: Course will introduce students to the fundamentals of mathematical proof in the context of discrete structures. Topics include logic, sets and relations, functions, integers, induction and recursion, counting, permutations and combinations and algorithms. |
| Prerequisite: Math 162 and Math 163. |
| Semesters offered: Fall |
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| Math 338 [ 3 ] Mathematics for Secondary Teachers |
| Description: Topics from secondary mathematics presented from an advanced standpoint and designed to meet the needs of pre- and in-service teachers. Open only to prospective and in-service teachers of mathematics. |
| Prerequisite: 306 and 322 and 327. Restriction:College of Education graduate students. |
| Semesters offered: Fall |
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| Math 339 [ 1-3, no limit ] Topics in Mathematics for Elementary & Middle School Teachers |
| Description: (Credit: 1-3, no limit.) Presents mathematical topics of concern to elementary and mid-school teachers. Open only to in-service and prospective teachers. |
| Semesters offered: Offered Upon Demand |
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| Math 350 [ 1-3, no limit ] Topics in Mathematics for Secondary Teachers |
| Description: (Credit: 1-3, no limit.) Presents mathematical topics of concern to secondary teachers. Open only to in-service and prospective teachers. May be repeated for credit by permission of instructor. |
| Prerequisite: Restriction: College of Education graduate students. |
| Semesters offered: Offered Upon Demand |
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| Math 356 [ 4 ] Symbolic Logic |
| Description: (Also offered as PHIL 356.) This is a first course in logical theory. Its primary goal is to study the notion of logical entailment and related concepts, such as consistency and contingency. Formal systems are developed to analyze these notions rigorously. |
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| Math 375 [ 3 ] Introduction to Numerical Computing |
| Description: (Also offered as CS 375.) An introductory course covering such topics as solution of linear and nonlinear equations; interpolation and approximation of functions, including splines; techniques for approximate differentiation and integration; solution of differential equations; familiarization with existing software. |
| Prerequisite: (Math 314 or Math 316 or Math 321) and (CS 151 or CS 152 or Phys 290 or ECE 131) |
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| Math 391 [ (1-3 to a maximun of 8) ] Advanced Undergraduate Honors Seminars |
| Description: (Credit: 1-3 to a maximum of 8.) Advanced problem solving. Especially recommended for students wishing to participate in the Putnam Intercollegiate Mathematical Competition. |
| Prerequisite: Permission of instructor |
| Semesters offered: Offered Upon Demand |
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| Math 393 [ 3 (no limit) ] Topics in Mathematics |
| Description: (Credit: 3, no limit.) Selected topics from analysis, algebra, geometry, statistics, model building, interdisciplinary studies and problem solving. |
| Semesters offered: Offered Upon Demand |
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