m a t h e m a t i c s    

MTH 1000 Mathematics Preliminaries 1	4 QH
Supplies, together with MTH 1010, the high-school math background necessary for a student to enroll in MTH 1101, MTH 1106, or MTH 1113. Includes the arithmetic of signed numbers, fractions, decimals, and percents; operations on polynomials; solving simple first-degree equations; and laws of exponents. Prereq. Permission of course coordinator.
MTH 1001 College: An Introduction	1 QH
Intended for freshmen in the College of Arts and Sciences. Seeks to introduce freshmen to the liberal arts in general, as well as to familiarize them with their major; help them develop the academic skills necessary to succeed (e.g., analytical ability and critical thinking); provide grounding in the culture and values of the University community; and help them develop interpersonal skills-in short, to familiarize students with all skills needed to become a successful university student.
MTH 1010 Mathematics Preliminaries 2	4 QH
Supplies, together with MTH 1000, the high-school math background necessary for a student to enroll in MTH 1101, MTH 1106, or MTH 1113. Includes solving first- and second-degree equations and systems of equations; graphic lines and parabolas; solving equations with algebraic fractions; solving word problem applications. Prereq. Permission of course coordinator.
MTH 1101 Applications of Algebra	4 QH
Examines linear equations and their graphs, and systems of linear equations and linear inequalities in two variables, with application to linear programming. Introduces matrices with application to Markov chains; set theory, techniques of counting; permutations and combinations and elementary probability. (Core Category I)
MTH 1102 Interactive Mathematics	4 QH
Offers hands-on exploration of real-life situations, developing concepts from algebra, statistics, and linear programming as needed. Emphasizes problem-solving strategies. Designed for students who enjoy working in collaborative groups. A graphing calculator is required for this course; the TI-83 is strongly recommended. (Core Category I).
MTH 1106 Functions and Algebra	4 QH
Examines how to solve various kinds of algebraic equations: linear, quadratic, and linear systems in two and three unknowns. Considers applications to word problems such as motion, mixture, and variational problems. Covers the concept of function, graphs, line slopes, and graphs of polynomials. If time permits, also discusses some elementary trigonometry and vectors in the plane. Students do not receive credit for this course if they have already received credit for MTH 1188 or MTH 1191.
MTH 1107 Functions and Basic Calculus	4 QH
Introduces differential calculus. Examines elementary rules of differentiation with application to graph sketching and to maximum and minimum problems. Discusses exponential and logarithmic functions with applications to compound interest, population growth, and radioactive decay. (Core Category I) Prereq. MTH 1106. Students do not receive credit for MTH 1107 if they have already received credit for MTH 1114.
MTH 1108 Basic Calculus 2	4 QH
Offers a review and continuation of differential calculus, graphing, and differentiation of trigonometric functions; also presents an introduction to integral calculus with applications to geometric problems and differential equations. Prereq. MTH 1107.
MTH 1113 College Mathematics for Business and Economics	4 QH
Focuses on polynomial, exponential, logarithmic and logistic functions; their evaluation and algebraic solution; and their use (via the TI-83 graphing/statistical calculator) in the modeling of raw data. Studies the applications of modeling to basic business functions (demand, revenue, cost, and profit); interpolation and extrapolation; numerical solution, using the calculator, of algebraically difficult equations; and amortization and annuities. Requires a short project involving researching, then modeling, the financial history of a publicly traded firm of the student's choosing. Emphasizes applications to practical business and economic situations, and translation of mathematical results into a verbal form suitable for a business setting. Students are required to have a TI-83.
MTH 1114 Calculus for Business and Economics	4 QH
Studies derivatives of power; exponential, logarithmic, and logistic functions and their compositions; interpretation of derivatives (slope, rate of change) and their application (approximation, marginal analysis, and optimization). Continues MTH 1113 emphasis on applications to practical business and economic situation; exploration and modeling of raw business or economic data using the TI-83 graphing/statistical calculator; and translation of mathematical results into a verbal form suitable for a business setting. Requires a term-long group project, designing a simple product, gathering premarketing data via field polling, modeling the data, using calculus to make business decisions, and delivering a short presentation. Students are required to have a TI-83. Prereq. MTH 1113, or equivalent. Students do not receive credit for MTH 1114 if they have already received credit for MTH 1107.
MTH 1120, MTH 1121 Intensive Calculus 1 and 2	6 QH each
Assists students in overcoming deficiencies in precalculus mathematics without losing ground in the MTH 1123 sequence. Reviews high-school algebra, introduces trigonometric functions, and covers the material in MTH 1123 and MTH 1124. Includes lecture and homework review sessions. (Students placed in this course by request or on the basis of their College Board scores and the results of an orientation-week diagnostic test.)
MTH 1123 Calculus for Engineering Majors 1	4 QH
Introduces the differential calculus of one variable, including trigonometric, exponential, and logarithmic functions, together with their graphs. Includes average rates of change, instantaneous rates of change, derivatives, and the chain rule. Covers curve sketching, applications of the derivative to problems involving related rates, and maxima and minima.
MTH 1124 Calculus for Engineering Majors 2	4 QH
Introduces integral calculus including areas, volumes, and other applications. Studies integration involving trigonometric, inverse trigonometric, exponential, and logarithmic functions. Prereq. MTH 1123.
MTH 1125 Calculus for Engineering Majors 3	4 QH
Introduces Taylor polynomials and series; studies differential equations and mathematical models. Prereq. MTH 1124.
MTH 1133 Calculus for Life Sciences 1	4 QH
Begins with the fundamentals of differential calculus and proceeds to specific problems encountered in biological research. Studies the formulation of physiological problems in terms of differential equations; solutions of differential equations by method of undetermined coefficients; and application to compartmental problems.
MTH 1134 Calculus for Life Sciences 2	4 QH
Studies integral calculus; trigonometric functions; solutions of differential equations by separation of variables; and advanced compartmental problems. Introduces pharmacokinetics, numerical integration, and Euler's method. Prereq. MTH 1133.
MTH 1135 Calculus for Life Sciences 3	4 QH
Presents functions of several variables, Taylor polynomials, and infinite series. Prereq. MTH 1134.
MTH 1137 Discrete Mathematics	4 QH
Covers logic, binary arithmetic, basic set theory, Boolean algebra, and logic gates and their close interconnections. Also studies functions, permutations, combinatorics, proof by induction, algorithms, recursion, and recurrence relations.
MTH 1139 Modeling with Functions	4 QH
Reviews algebra, geometry, and trigonometry from a precalculus perspective. Examines linear, polynomial, rational, trigonometric, and exponential/logarithmic functions, their mathematical behavior and their use in modeling real-world phenomena. Emphasizes developing strong algebraic skills and understanding. This course is primarily for computer science students.
MTH 1140 Calculus for Science Majors 1	4 QH
The sequence MTH 1140­1142 is equivalent to MTH 1123­1125, but geared toward majors in mathematics, physics, chemistry, and computer science. MTH 1140 introduces differential calculus of one variable, including trigonometric, exponential, and logarithmic functions, together with their graphs. Includes average and instantaneous rates of change, derivatives, and the chain rule. Covers applications of the derivative to curve sketching, related rates, and optimization.
MTH 1141 Calculus for Science Majors 2	4 QH
Introduces integral calculus including areas, volumes, and other applications. Studies integration involving trigonometric, inverse trigonometric, exponential, and logarithmic functions. Prereq. MTH 1140.
MTH 1142 Calculus for Science Majors 3	4 QH
Introduces Taylor polynomials and series; studies differential equations and mathematical models. Prereq. MTH 1141.
MTH 1150 Probability, Statistics, and the Computer	4 QH
Presents a computer-oriented introduction to statistical methods, with applications in the social and life sciences. Examines descriptive statistics, elementary probability, correlation and regression, and the fundamentals of statistical inference (confidence intervals and hypothesis testing) with a minimum of mathematical derivations. Uses a statistical computer package such as MINITAB or SPSS to solve supplementary problems. Prereq. Nonmath majors.
MTH 1152 Statistical Thinking	4 QH
Introduces the statistical style of thinking for students without mathematical sophistication or who ordinarily don't like mathematics. Assigns readings from a wide variety of sources. Uses extensive class discussion and homework problems to teach students to use statistics and to critically evaluate the use of statistics by others. Covers descriptive statistics, statistical tests, confidence intervals, regression, and sampling. (Core Category II) Economics majors do not receive credit for this course if they have already earned credit for ECN 1250 or MSC 1201.
MTH 1170 Mathematical Discovery and Computers	4 QH
Introduces the computer as a tool for mathematical discovery as well as an object of study. Both the mathematical and computer components may vary, but the nature of mathematical exploration and the solving of challenging problems are consistently emphasized.
MTH 1187 Probability	4 QH
Presents an introduction to probability and probabilistic reasoning, sample spaces, events, and axioms. Studies conditional probability and Bayes' Law, independence, random variables and their distributions, joint distributions, expected value, and variance. Topics also include the law of large numbers, central limit theorem, and the use of probability in statistical inference. Prereq. MTH 1137 or equivalent.
MTH 1188 Problem Solving and Precalculus 1	6 QH
Develops basic algebraic and problem-solving skills in students who indicate these needs and are enrolled in this course rather than the four-credit MTH 1191. Together with MTH 1189, prepares the student for calculus (MTH 1193). Includes writing equations and relating word problems to equations, plotting linear equations, word problems involving algebraic fractions, algebraic operations, radicals, inequalities, functional notation, and the graphing of functions. A graphing calculator is required for this course; the TI-83 is strongly recommended. Prereq. BSET majors only. Students who earn credit for this course may not receive credit for MTH 1106 or MTH 1191.
MTH 1189 Problem Solving and Precalculus 2	6 QH
Continues MTH 1188. Includes functions and graphing, composite functions and inverse functions, logarithmic and exponential functions and equations, trigonometric functions and their graphs, solving trigonometric problems, trigonometric identities, and vectors in two-dimensions. A graphing calculator is required for this course; the TI-83 is strongly recommended. (Equivalent to MTH 1192.) Prereq. BSET majors only.
MTH 1191 College Algebra	4 QH
Examines laws of exponents, factoring, operations with fractional expressions, radical and complex numbers, Pythagorean Theorem and distance formula, linear and quadratic equations and inequalities, and functional notation. Includes graphing of a wide variety of functions and equations, including liens, conic sections, and polynomials. Studies solutions to many types of equations, including linear, quadratic, and polynomial. Explores many applications of algebra. A graphing calculator is required for this course; the TI-83 or TI-86 is strongly recommended. Prereq. BSET majors only. Students who earn credit for this course may not receive credit for MTH 1106 or MTH 1188.
MTH 1192 Precalculus	4 QH
Studies exponential and logarithmic functions, trigonometric functions of angles and degrees and radians, trigonometric identities and equations, right triangles, law of sines and cosines, inverse trigonometric functions, and polar coordinates. Examines complex numbers in trigonometric form, systems of linear and nonlinear equations, binomial theorem, arithmetic and geometric sequences and series. A graphing calculator is required for this course; the TI-83 or TI-86 is strongly recommended. (Equivalent to MTH 1189.) Prereq. MTH 1191 or MTH 4107; BSET majors only.
MTH 1193 Calculus 1	4 QH
Studies general function operations, theory and evaluation of limits, derivatives of algebraic and trigonometric functions, general rules of differentiation, Rolle's Theorem, and Mean Value Theorem. Covers applications of differentiation including velocity and acceleration, related rates, maximum and minimum problems, curve sketching, and approximations by differentials. A graphing calculator is required for this course; the TI-83 or TI-86 is strongly recommended. (Not equivalent to MTH 1123.) Prereq. MTH 1192 or MTH 4108; BSET majors only.
MTH 1194 Calculus 2	4 QH
Begins with antidifferentiation and the solution of problems solved by simple differential equations. Examines the Riemann sum and the development of the fundamental theorem with applications to areas, volumes, and rectilinear motion problems. Topics include logarithmic, exponential, and inverse trigonometric functions and their applications. Studies techniques of integration including parts, partial fractions, substitution, and the use of tables, L'Hôpital's rule, improper integrals, and geometry of vectors in a plane and space. A graphing calculator is required for this course; the TI-83 or TI-86 is strongly recommended. (Not equivalent to MTH 1124.) Prereq. MTH 1193 or MTH 4120; BSET majors only.
MTH 1195 Calculus 3	4 QH
Begins with sketching surfaces in space, leading to a study of functions of several variables, partial derivatives, and multiple integrals with applications to area and volume. Studies sequences and series to the development of Taylor and Maclaurin series. Introduces differential equations including the solution, with applications, of first-order variables separable, first-order linear, and second-order linear homogeneous. A graphing calculator is required for this course; the TI-83 or TI-86 is strongly recommended. (Not equivalent to MTH 1125.) Prereq. MTH 1194 or MTH 4121; BSET majors only.
MTH 1196 Introductory Statistics/Differential Equations	4 QH
Studies measures of central tendency, measures of variability,frequency distributions and the normal curve, percentiles and standard scores, correlation, inferential statistics, differences between means, analysis of variance (ANOVA), and nonparametric tests. Examines various types of differential equations and methods of solution, including first-order equations with variables separable and first-, second-, and higher-order homogeneous and nonhomogeneous linear equations with constant coefficients. Emphasizes applications and numerical methods throughout the entire course. A graphing calculator is required; the TI-83 or TI-86 is strongly recommended. Prereq. MTH 1194 or MTH 4121; BSET majors only.
MTH 1203 History of Mathematics	4 QH
Traces the development of the various branches of mathematics from ancient times to the present, with emphasis on the mathematics itself as well as on the mathematicians and cultures that produced it. Teaches students to compute in other number systems, to perform geometric constructions, and to learn proofs of some significant theorems. (Core Category III) Prereq. Interest in history and mathematics.
MTH 1212 Linear Programming	4 QH
Presents an introduction to concepts and techniques of linear programming, game theory, discrete modeling (shortest path, minimum spanning tree). Explores application to economics, social sciences, and other related fields. (Core Category II) Prereq. One year of college mathematics.
MTH 1223 Calculus for Engineering Majors 4	4 QH
Covers partial derivatives and multiple integrals, with applications. Prereq. MTH 1125 or equivalent.
MTH 1225 Differential Equations (Engineering) 1	4 QH
Studies ordinary differential equations with applications including mechanical vibrations and electrical circuits. Focuses on first-order equations and systems and second-order linear equations studied from various points of view: existence theory, analytic solution techniques (including Laplace transform), and numerical methods. Uses computer labs for visualization and numerical approximation. Prereq. MTH 1125 or equivalent.
MTH 1226 Differential Equations (Engineering) 2	4 QH
Studies partial differential equations with applications. Discusses mathematical models, boundary and initial conditions, Fourier series, and solutions to the wave, diffusion, and Laplace's equation. Computer labs are used for visualization and numerical approximation. Prereq. MTH 1225 or equivalent.
MTH 1230 Linear Algebra for Engineers	4 QH
Introduces matrices through Guassian elimination. Proceeds to vector spaces and linear equations; orthogonality; eigenvalues and eigenvectors. Emphasizes engineering applications such as systems of ordinary differential equations. Prereq. MTH 1225.
MTH 1238 Combinatorial Mathematics	4 QH
Introduces techniques of mathematical proofs, including mathematical induction. Explores various techniques for counting such as permutation and combinations, inclusion-exclusion, Polyaenumeration, and the mathematical formulations necessary for these techniques, including elementary group theory and equivalence relations. Prereq. Two courses in calculus.
MTH 1240 Chaos and Fractals	4 QH
Presents an experimental study, using simple mathematical models, of chaotic behavior in dynamical systems found in mathematics, science, and computer science. Goals include the development of experimental skills, integration of visual and analytical modes of thought, and an appreciation of issues of problem formulation and representation. Prereq. MTH 1125, MTH 1137, and COM 1201 or equivalent.
MTH 1243 Calculus for Science Majors 4	4 QH
Focuses on methods of calculus and vector analysis to study curves, surfaces, and functions of several variables. Studies parameterization of lines and planes, tangents and normal vectors, partial derivatives, maxima and minima problems, linear approximations, and tangent planes. Some linear algebra. Prereq. MTH 1142.
MTH 1244 Calculus for Science Majors 5	4 QH
Continues MTH 1243. Covers multiple integration, line integrals, and exact differentials; various forms of Stoke's theorem; and more linear algebra. Prereq. MTH 1243.
MTH 1245 Differential Equations (Science) 1	4 QH
Studies ordinary differential equations with applications. Focuses on first-order equations and systems and second-order linear equations studied from various points of view: existence theory, analytic solution techniques, and numerical methods. Introduces linear algebra, including eigenvalues and eigenvectors to study systems of equations. Uses computer labs for visualization and numerical approximation. Prereq. MTH 1125 or equivalent.
MTH 1246 Differential Equations (Science) 2	4 QH
Studies partial differential equations with applications. Discusses mathematical models, boundary and initial conditions, Fourier series, and solutions to the wave, diffusion, and Laplace's equation. Computer labs are used for visualization and numerical approximation. Prereq. MTH 1245 or equivalent.
MTH 1290 Introductory Statistics and Statistical Software	4 QH
Introduces basic statistical data analysis using the well-known software packages SAS and SPSS. Topics include descriptive statistics, computing probability, parameter estimation, hypothesis testing, correlation, and simple regression analysis.
MTH 1301 Linear Algebra 1	4 QH
Focuses on vectors and vector spaces, including function spaces, subspaces. Examines lengths, angles, scalar products; volumes, determinants; linear independence and dependence, dimension, linear and affine maps, kernel and image. Studies algorithms: row operations, double triangular form, inversion. Introduces linear maps. Gives particular attention to characteristic polynomials, eigenvalues, and eigenvectors in low dimensions.
MTH 1302 Linear Algebra 2	4 QH
Focuses on detailed study of linear maps. Studies symmetric maps and quadratic forms, isometries, skew-symmetric maps; decomposition of general linear maps using symmetric maps and isometries. Covers polynomials evaluated on linear maps, generalized eigenspaces, Jordan form. As time permits, introduces computational methods, with emphasis both on geometry underlying algorithms and on practical advantages and limitations. Surveys related areas in mathematics in which linear ideas play a role. Prereq. MTH 1301.
MTH 1311 Real Analysis 1	4 QH
Provides the theory and technique for a rigorous treatment of calculus. Topics vary and may include the construction of the real numbers, continuity and convergence, differentiation and integration, and proofs of selected results such as the inverse and implicit function theorems. Emphasizes careful proofs throughout. Prereq. MTH 1125 and 1238 or permission of instructor.
MTH 1312 Real Analysis 2	4 QH
Continues the study of continuous and differentiable functions. Topics may include convergence of sequences of functions, function spaces, the Lebesgue integral and measure theory, and Lp-spaces. Emphasizes rigorous proofs throughout. Prereq. MTH 1311.
MTH 1321 Introduction to Groups and Their Applications	4 QH
Presents examples of groups (symmetry groups, permutation groups, matrix groups, cyclic groups) and their subgroups. Studies finite groups and orders of subgroups; homomorphisms and normal subgroups. Also considers applications to some of the following, depending on time and interest: geometry, number theory, crystallography, physics, and combinatorics. Prereq. MTH 1301.
MTH 1322 Topics in Rings, Fields, and Number Theory	4 QH
Introduces commutative rings, ideals, integral domains, fields, and Galois theory. Studies extension fields, Gaussian integers, and other topics as time permits. Prereq. MTH 1321.
MTH 1330 Number Theory	4 QH
Introduces the elementary methods of analytic number theory. Focuses on divisibility, congruences, arithmetical and multiplicative functions, quadratic reciprocity, and equivalent formulations of the prime number theorem. Prereq. MTH 1301 or permission of instructor.
MTH 1337 Foundations of Mathematics 1	4 QH
Studies the following topics and the shifts in perspective that their development brought about: disputes over the basis for calculus, twentieth-century discoveries in mathematical logic, and the advent of the computer. (Core Category V)
MTH 1347 Applied Analysis	4 QH
Demonstrates the application of mathematics to interesting physical and biological problems. Examines methods chosen from ordinary and partial differential equations, calculus of variations, Laplace transforms, singular perturbations, special functions, dimensional analysis, and other techniques of applied mathematics. Prereq. MTH 1245, MTH 1246, and MTH 1301 or equivalents.
MTH 1349 Numerical Analysis 1	4 QH
Presents various topics including roots of nonlinear equations, systems of linear equations, interpolation, curve-fitting, and approximation of functions. Emphasizes understanding issues such as how good a numerical solution is or how efficient a method is, rather than theorem-proving or numerical recipes.
MTH 1350 Numerical Analysis 2	4 QH
Introduces numerical analysis of interpolation, differentiation, integration, and ordinary differential equations. Emphasizes practical problems and techniques. Homework and projects will be based on MATLAB. MTH 1349 is not a prerequisite.
MTH 1351 Functions of a Complex Variable 1	4 QH
Focuses on algebra and geometry of complex numbers; concepts of limit, continuity, and derivative in the complex domain; holomorphic functions, series, contour integration; and applications. Prereq. MTH 1243 or equivalent.
MTH 1352 Functions of a Complex Variable 2	4 QH
Continues MTH 1351. May include conformal mapping, analytic continuation, Riemann surfaces, the Laplace transform and inverse transform, elliptic functions, and applications. Prereq. MTH 1351.
MTH 1360 Seminar in Applied Mathematics	4 QH
Offers students of mathematics the experience of utilizing their skills to study problems that arise in industry and other real-world settings. Provides students with the opportunity to build on exciting industrial experiences that they may have had through co-op or other employment. Arts and Sciences experiential education requirement. Prereq. Junior or senior status and some experience or interest in applied mathematics.
MTH 1367 Geometry	4 QH
Studies classical Euclidean geometry and symmetry groups of geometric figures by an analytic approach. Teaches how to formulate mathematical propositions precisely and how to construct and understand mathematical proofs. Provides a line between classical and modern geometry with the aim of preparing students for further study in group theory and differential geometry. Prereq. Basic linear algebra or permission of instructor.
MTH 1372 Topology	4 QH
Introduces students to fundamental notions of topology, including basic set theory, the axioms for a topological space, continuous functions, metric spaces, the subspace, product and quotient topologies, connectedness, compactness, the Hausdorff condition, surfaces, and the fundamental group. Additional topics may be covered if time allows.
MTH 1384 Probability for Engineering	4 QH
Discusses sample spaces; axioms of probability; random variables and their distributions; expectation, moments, and characteristic function; bivariate distributions; jointly Gaussian random variables; stochastic processes, including autocorrelation function and power spectral density; and estimation of the mean and autocorrelation function in the presence of noise. Prereq. MTH 1223 and MTH 1225 or equivalent.
MTH 1387 Probability 1	4 QH
Focuses on probability functions for finite and infinite spaces; conditional probability and independence; discrete and continuous probability distributions for one or more random variables; expectation; moments; binomial, Poisson, and normal distributions; Law of Large Numbers; and central limit theorem. Prereq. MTH 1223 or MTH 1244.
MTH 1388 Probability 2	4 QH
Studies selected topics, including introduction to stochastic processes, with emphasis on Markov chains or random walk. Prereq. MTH 1384 or MTH 1387.
MTH 1390 Mathematical Statistics	4 QH
Focuses on estimation of parameters, confidence intervals, hypothesis testing, regression, sampling distributions. Prereq. MTH 1187, MTH 1384, or MTH 1387.
MTH 1393 Introduction to Actuarial Mathematics	4 QH
Studies basic aspects of life contingencies. The theory is illustrated by worked examples and reinforced through numerous exercises. Prepares students to take the relevant actuarial exam. Prereq. MTH 1387 and MTH 1390.
MTH 1395 Actuarial Practice	4 QH
Covers topics in statistics and probability omitted from MTH 1387 and MTH 1390; for example, moment-generating functions, regression, and chi-square tests. Completes preparation for the second actuarial exam. Introduces utility theory and risk theory. Requires students to do a major project analyzing data from their co-op experiences or from current actuarial or health-care policy literature. Prereq. MTH 1387 and MTH 1390.
MTH 1710, MTH 1714, MTH 1723, MTH 1724, MTH 1725,MTH 1726, MTH 1733, MTH 1734, MTH 1735, MTH 1740, MTH 1741, MTH 1742, Honors Program	4 QH each
Special sections for honors students of courses MTH 1225, MTH 1114, MTH 1123, MTH 1124, MTH 1125, MTH 1223, MTH 1133, MTH 1134, MTH 1135, MTH 1140, MTH 1141, and MTH 1142, respectively.
MTH 1801, MTH 1802, MTH 1803, MTH 1804, MTH 1805,MTH 1806, MTH 1807, MTH 1808 Directed Study	4 QH each
Gives highly motivated students the opportunity to explore mathematical situations and theories in depth. Can be used as an opportunity to examine familiar material in fresh ways or to explore new material not offered in formal courses. Provides students strong in mathematics and the related sciences a chance to develop the art and skill needed to work independently and creatively in mathematics. Prereq. Permission of instructor. Students strong in mathematics are permitted to enroll in graduate mathematics courses.
MTH 1809 Directed Study: Problem Solving	4 QH
Emphasizes mathematical problem-solving techniques from a range of areas, including but not limited to integration, differentiation, number theory, group theory, field theory, combinatorics, linear algebra, differential equations, and mathematical modeling. The mathematical model aspect constitutes one-third to one-half of the course. Analyzes specific real-world models in complete detail, including running and analyzing computer simulations. Requires students to make a number of presentations to the class demonstrating specific techniques. Prereq. Permission of instructor.
MTH 1810 Directed Study	1 QH
Same description as MTH 1801 to MTH 1808. Offered for less intensive projects. Prereq. Permission of instructor.
MTH 1811 Directed Study	2 QH
Same description as MTH 1801 to MTH 1808. Offered for less intensive projects. Prereq. Permission of instructor.
MTH 1825, MTH 1826, MTH 1827, MTH 1828	4 QH each
Junior/Senior Honors Project For details, contact the honors office.
MTH 1888, 1889 Experiential Education Directed Study	4 QH each
Draws upon the student's approved experiential activity and integrates it with study in the academic major. Restricted to those students who are using it to fulfill their experiential education requirement.

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