Mathematics

MATH 100. College Algebra. 3 cr. Graphing linear equations and inequalities, exponents, radicals, quadratic equations, systems of equations, study of functions including exponentials and logarithmic functions. Prereq: 90 or suitable placement test score. GDR: MATH

MATH 105. Mathematics Applications, Appreciation, and Skills. 3 cr. Topics include probability, statistics, geometry, logic, history and appreciation of mathematics, mathematics of finance, and others. An alternative to Math 100 to meet GDR in the BA degree. Not a substitute for Math 100 in the BS degree. Prereq: Math 90 or suitable placement test score.

MATH 109. Mathematics for the Social and Management Sciences. 4 cr. Systems of linear equations, matrices, linear programming, exponential growth and decay, mathematics of finance, differential calculus with emphasis on applications. Prereq: 100 or suitable placement score. GDR:MATH BS BM/BFA

MATH 111. Applied Calculus. 4 cr. Calculus applied to business, economics, biology, natural resources, and social science. Prereq: 100 or a suitable placement score. May not take 111 for credit after successful completion of 120. GDR:MATH BS/BFA

MATH 112. Basic Trigonometry and Applications. 2 cr. Introduction to trigonometry and applications to surveying, navigation, and indirect measurement. Not open to those who have taken 119. Math 112 will not substitute for 119 and is not preparation for 120. May not earn credit in both 112 and 119. Prereq: 100 or placement into 112.

MATH 118. Precalculus Algebra. 4 cr. Topics include concepts, graphs, and properties of functions, inverse and algebraic functions, techniques of graphing, conic sections, linear and nonlinear systems, arithmetic and geometric series, mathematical induction and the binomial theorem. Preparation for 120 if you did not place into 120. Prereq: 100 or suitable placement test score. GDR: MATH BS BM/BFA

MATH 119. Precalculus Trigonometry. 2 cr. Trigonometric functions, their basic properties and graphs; inverse trigonometric functions; identities; applications. Preparation for 120 if you did not place into 120. May not earn credit in both 112 and 119. Prereq: 100 or suitable placement test score.

MATH 120. Analytic Geometry and Calculus I. 4 cr. Analytic geometry of the plane; differentiation and integration of algebraic functions with some applications. Prereq: 118 and 119 or suitable placement score.

MATH 121. Analytic Geometry and Calculus II. 4 cr. Analytic geometry of the plane continued; differentiation and integration of transcendental functions; integration techniques; differential equations; infinite series; additional applications. Prereq: 120.

MATH 209. Mathematics for Information Sciences. 4 cr. Boolean algebra, relational database theory, algorithms, combinatorics, discrete probability, recursion, graph theory, network flows and applications for information sciences. Prereq: 100 and con reg in CIS 120.

MATH 213. Introduction to Linear Algebra. 4 cr. Topics in linear algebra; matrix algebra, systems of linear equations, Gauss-Jordan elimination, determinants, vector spaces, linear independence and bases, linear transformations, eigenvalues and eigenvectors; selected applications. Prereq: 121.

MATH 222. Analytic Geometry and Calculus III. 4 cr. Introduction to solid analytic geometry; differentiation of functions of several variables; multiple integrals; parametric equations and vectors; applications. Prereq: 121.

MATH 228. Fundamental Mathematical Concepts for Elementary Teachers I. 3 cr. Basic concepts and properties of sets, number systems, and functions for elementary school math. Prereq: 100 or placement above 100 and con reg in Math Ed 228; and elementary ed major with cons chair of Math/Computing. If you do not meet the prerequisites, you will not be allowed to take the course.

MATH 300. Introduction to Proof with Real Analysis. 3 cr. Transition to upper division mathematics. Topics include logic, proof techniques, set theory, relations and functions; elementary properties of integers, rational numbers, and real numbers; open sets, closed sets, cardinality, limits, and continuous functions; also reading and writing formal mathematical proofs. Prereq: 121.

MATH 305. Discrete Mathematics. 3 cr. Algorithm analysis: recursion, complexity; combinatorics: recurrence relations, dynamic systems, counting techniques; graph theory: Eulerian and Hamiltonian graphs, algorithms and heuristics, planar graphs, trees, applications. Prereq: 300 or con reg.

MATH 310. Operations Research I. 3 cr. Formulation and computation of linear programming problems: simplex method, duality, sensitivity analysis, computer solutions; integer programming; network flows with applications. Prereq: 213 or 220 or 209.

MATH 315. Operations Research II. 3 cr. Interior point methods for linear programming; nonlinear optimization; dynamic programming; introduction to stochastic models with use of related computer software. Prereq: 222 and 310.

MATH 320/520. Differential Equations. 3 cr. Introduction to ordinary differential equations of the first and second order; linear equations with constant coefficients; solution in series; numerical approximations; Laplace transforms; system of ordinary equations; selected applications. Prereq: 222.

MATH 323. Foundations of Analysis. 3 cr. Elementary topological properties of the real line and the Euclidean plane; connectedness, compactness, continuous and uniformly continuous functions. Prereq:300.

MATH 324. Complex Variables. 3 cr. Complex numbers, functions of a complex variable; power series; elementary functions; conformal and bilinear transformation; integral theorems; Taylor/Laurent expansions; theory of residues; applications. Prereq: 222 and 300 or cons instr.

MATH 327. Advanced Calculus. 3 cr. Theory of differential and integral calculus: limits and convergence, continuity, derivatives, integrals; Inverse and Implicit Function Theorems; Taylor and Fourier series; transforms. Prereq: 213 or 220, and 222, 300.

MATH 330. Intermediate Linear Algebra. 3 cr. Abstract finite and infinite dimensional vector and inner product spaces; subspaces: spanning and linear independence, bases and dimension; linear transformations: eigenvalues and eigenvectors, diagonalization, isomorphism, canonical forms; selected applications. Prereq: 213 or 220, and 300.

MATH 331. Abstract Algebra. 3 cr. Groups, rings, fields, number systems, Euclidean domains, and polynomials. Prereq: 213 or 220, and 300.

MATH 335. Number Theory. 3 cr. Primes, composites, and divisibility; congruences and residue classes; number-theoretic functions; Diophantine equations. Prereq: 300 or cons instr.

MATH 338. Fundamental Mathematical Concepts for Elementary Teachers II. 3 cr. Topics from geometry, measurement, algebra, and logic with emphasis on problem solving. Prereq: 228 and con reg in Math Ed 338. GDR:MATH BS BM/BFA

MATH 340. College Geometry. 3 cr. Foundations of geometry; survey of Euclidean geometry from various developmental approaches; introduction to non-Euclidean geometries. Does not count toward math major or minor. Prereq: 300 and con reg in Math Ed 340/540.

MATH 345. Fundamental Mathematical Concepts for Elementary Teachers III. 3 cr. Topics from probability, statistics, calculus, and rational and real numbers with an emphasis on problem solving. Prereq: Math 338 and con reg in Math Ed 345.

MATH 350/550. Probability and Statistics with Teaching Methods.
3 cr. Discrete and continuous probability distributions; random variables; mathematical expectation; statistical estimation and inference; hypothesis testing; regression. Applications and teaching methods for probability and statistics in high school classroom. May not earn credit in both 356 and 350; 350 is not a prereq for 357. Does not count toward math major/minor. Prereq: 121.

MATH 355. Elementary Statistical Methods. 4 cr. Fundamental concepts and techniques that underlie applications to various disciplines, including descriptive statistics; averages; dispersion; random sampling; binomial, normal, Student T, Chi-square, and F distributions; estimation and tests of hypothesis; linear regression and correlation; laboratory emphasis on sampling and applications. Does not count toward math major/minor, or major for teacher certification. Prereq: 100 or suitable placement test score. GDR:MATH BS BM/BFA

MATH 356/556. Probability and Statistics I. 3 cr. Probability from a set-theoretic viewpoint; random variables and mathematical expectation; discrete and continuous probability distributions; functions of random variables and moment-generating functions. Prereq: 121.

MATH 357/557. Probability and Statistics II. 3 cr. Statistical inference: estimation and tests of hypotheses; linear regression and correlations; multiple linear regression. Prereq: 356.

MATH 358. Seminar to Prepare for Actuarial Exam 110. 2 cr. Study and discuss concepts and problems from statistics found on recent actuarial examinations. Prereq: 357 or con reg in 357.

MATH 359. Mathematics for Middle School I. 2 cr. Extended topics from algebra, geometry, trigonometry, analytic geometry, measurement, probability, and statistics. Problem solving and computer applications. Prereq: 338 and con reg in Math Ed 359.

MATH 367. Mathematics of Decision and Choice. 3 cr. Quantitative approaches to rational decision making: game theory, decision analysis with uncertainty and risk, management science; model formulations and solution using computer software. Prereq: 121 or 109.

MATH 369. Mathematics for Middle School II. 2 cr. Topics from sets, logic, mathematical reasoning and proof, mathematical structures, discrete mathematics, topology, and history of mathematics. Prereq: 338 and con reg in Math Ed 369.

MATH 372. Topology. 3 cr. Topics in metric and point-set topology: homeomorphisms and isometries, connectedness, compactness, and separation axioms; low-dimensional Euclidean topology: curves, surfaces, knots, manifolds. Prereq: 213 or 220, and 300.

MATH 390/590. Special Topics in Mathematics. 1-3 cr. Subtitle will designate topic and number of credits. Prereq: cons chair.

MATH 395. Seminar. 1 cr. Present and discuss selected readings in mathematical subjects. May repeat for 3 cr max with different subtitles. Prereq: Cons instr.

MATH 397. Internship in Mathematics. 2-6 cr. Participate in supervised training work program in cooperating agency or business arranged by faculty with cons chair. Credits set by advisor and chair following dept guidelines. May repeat for 6 cr max. Prereq: Jr st and cons instr.

MATH 455/655. Advanced Statistical Methods. 4 cr. Advanced concepts and techniques that underlie applications to various disciplines including: simple and multiple regression, analysis of variance, and nonparametric methods; use of statistical package(s) such as SAS or SPSS-X. Does not count toward math major/minor or major for teacher certification. Prereq: 355 or equiv statistics course.

MATH 468. Applied Statistics. 3 cr. Analysis of variance, simple regression and correlation, multiple regression and correlation, time series; model building and forecasting. Prereq: 356 and 357.

MATH 499. Independent Study. Upperclass math majors may arrange for independent study with cons chair. Credit based on scope of project. May apply 3 cr to major.

Mathematics Latent Courses: Not offered recently. See full course description in indicated (xx-xx) catalog.

M ED 228. Teaching Elementary School Mathematics. 1 cr. Principles, goals, methods, study of curricular content and assessment techniques, includes field experience. Prereq: Con reg in Math 228.

M ED 229. Teaching Elementary School Mathematics I. 1 cr. Principles, goals, methods, and techniques. Only for transfer students who did not take Math 228 at UWSP. Prereq: 4 cr of math for elementary teachers equivalent to Math 228.

M ED 334/534. Technology Tools for Mathematics Teachers. 4 cr. Techniques, research, and curriculum planning related to current technology within secondary and middle school math. Prereq: Math 109, 111, or 120 or cons instr.

M ED 335. Techniques in Secondary Education. 4 cr. Aims, methods, materials, techniques, planning, organization, assessment, and field experience. Same as Educ 335. Prereq: Jr st, admis to Prof Ed Prog.

M ED 338. Teaching Elementary School Mathematics II. 1 cr. Principles, goals, methods, and study of curricular content and assessment techniques; includes field experience. Prereq: Math Ed 228 or 229; and con reg in Math 338. GDR:MATH BS BM/BFA

M ED 339. Teaching Elementary School Mathematics II. 1 cr. Principles, goals, methods, and techniques. Only for transfer students who did not take Math 338 at UWSP. Prereq: 4 cr of math for elementary teachers equiv to Math 338.

M ED. 340/540. Teaching Secondary Geometry. 1 cr. Techniques, research, curricular planning, and evaluation issues related to teaching geometry at secondary level. Prereq: 300, con reg in Math 340/540.

M ED 345. Teaching Elementary School Mathematics III. 1 cr. Principles, goals, methods, study of curricular content and assessment techniques at approp levels; includes field experience. Prereq: Math Ed 338 or 339; and con reg in Math 345.

M ED 350/550. Teaching Probability and Statistics. 1 cr. Techniques, research, and evaluation issues related to teaching probability and statistics at the secondary level. Prereq: Math 121 and con reg in
Math 350.

M ED 359. Teaching Middle School Mathematics I. 2 cr. Techniques, research, curriculum planning, teaching of problem solving. Prereq: Math 338 and con reg in Math 359.

M ED 369. Teaching Middle School Mathematics II. 2 cr. Techniques, research, curriculum planning, and evaluation issues related to middle school math. Prereq: Math 338 and con reg in Math 369.

M ED 390/590. Special Topics. 1-3 cr. Subtitle will designate topic and number of credits. Prereq: Cons chair.

M ED 398. Student Teaching in Mathematics. 4-16 cr; pass/fail. Observation and teaching in the secondary school classroom under the guidance of cooperating teachers and university faculty. Prereq: Completion of math DPI certified major/minor and DPI educ requirements.

M ED 399. Special Work. 1-3 cr. Upperclass students may arrange for independent study with cons chair. Credit based on scope of project.

M ED 400. Seminar on Teaching for Secondary Student Teachers. 1 cr; pass/fail. Structural group discussions on aspects of teaching that emerge during student teaching experiences. Prereq: Con reg in Math Ed 398.

M ED 790. Special Topics. 1-4 cr. Subtitle will designate topic and number of credits. Prereq: Cons chair.

Mathematics Education Latent Courses: Not offered recently. See full course description in indicated (xx-xx) catalog.