WOU: Mathematics Department

Mathematics Department

Mth 070 Introductory Algebra (4)
Linear equations, linear systems, linear inequalities, and quadratic equations verbally, numerically, graphically, and symbolically. Explores topics using a graphic calculator as well as traditional approaches. Credits earned apply for enrollment (eligibility) but do not apply toward a degree; satisfies no university or college requirement. Additional fee applies.

Mth 099 Pre-college Algebra (4)
Basics of algebra, including arithmetic of signed numbers, order of operations, arithmetic of polynomials, linear equations, problem solving, factoring techniques, graphing lines, exponents, radicals, quadratic equations. Credits earned apply for enrollment (eligibility) but do not apply toward a degree; satisfies no university or college requirement. Additional fee applies. PREREQ: MTH 070 with a grade of C- or better, or satistactory score on Western Oregon University math placement test.

Mth 105 Introduction to Contemporary Mathematics (4)
Use of mathematical problem solving activities from real world situations designed to convey the application on mathematics. Extensive use of computer and graphics calculator required. The class is intended only for those students obtaining a BA degree.

Mth 111 College Algebra (4)
Polynomial equations and inequalities, functions and graphs, inverse functions, rational functions, exponential and logarithmic functions. PREREQ: MTH 095 or MTH 099 with grade C- or better or satisfactory score on Western Oregon University math placement test.

Mth 112 Elementary Functions (4)
Triangle trigonometry, trigonometric equations and identities, circular functions and graphs, complex numbers, polar coordinates. PREREQ:MTH 111 with a grade of C- or better or satisfactory score on WOU's math placement test.

Mth 199 Special Studies: Mathematics (1-6)

Mth 211,212,213 Transfer Notes

Mth 211 Foundations of Elementary Mathematics I (4)
Intended for prospective elementary or middle school teachers. Introduction to problem solving, set theory, whole number operations, number theory, integer operations. 3 hours of lecture plus 2 hours of lab. Prerequisite: Satisfactory score on math placement test taken at WOU or MTH 095 with a grade of C- or better or MTH 099 with a grade of C- or better. Does not apply toward a math major.

Mth 212 Foundations of Elementary Mathematics II (4)
Intended for prospective elementary or middle school teachers. Operations with fractions and decimals, percents, ratio and proportion, real numbers. Introduction to probability and statistics. 3 hours of lecture plus 2 hours of lab.
Prerequisite: MTH 211 with a grade of C- or better. Does not apply toward a math major.

Mth 213 Foundations of Elementary Mathematics III (4)
Intended for prospective elementary or middle school teachers. Introduction to geometric figures, congruence and similarity, measurement (area, perimeter, volume and surface area). 3 hours of lecture plus 2 hours of lab. Prerequisite: MTH 212 with a grade of C- or better. Does not apply toward a math major.

Descriptions prior to Fall 2004
Mth 211, 212, 213 Foundationas of Elementary Mathematics I, II, III (3)
Intended for prospective elementary teachers. Introduction to problem solving, sets, whole numbers, number theory, fractions, decimals, percent, ratio and proportion, integers, rational and real numbers. Introduction to probability and statistics, measurement, and geometry. The course presumes the skills from two years of high school algebra and one year of geometry. PREREQ: for MTH 211: Satisfactory score on math placement test taken at Western Oregon University or MTH 095 with a grade of C- or better. Prerequisite for MTH 212: MTH 211 with a grade of C- or better. Prerequisite for MTH 213: MTH 212 with a grade of C- or better. Does not apply toward a math major.

Mth 231 Elements of Discrete Mathematics (3)
Includes sets, set operations, sequences, elementary symbolic logic, induction, division in integers, matrices, functions, order of growth, relations. PREREQ:MTH 111 with a grade of C- or better, or satisfactory score on WOU's math placement test. Does not apply toward a math major/minor.

Mth 241, Calculus for Social Science I (4)
Differential calculus with emphasis on applications and model building in business and social science. PREREQ: Mth 111 with a grade of C- or better. This course does not apply to a math major/minor.

Mth 242, Calculus for Social Science II (4)
Integral and multivariate calculus with emphasis on applications and model building in business and social science. PREREQ: MTH 241 with a grade of C- or better. This course does not apply to a math major/minor.

Mth 243 Introduction to Probability and Statistics (4)
Descriptive statistics, discrete and continuous probability models including binomial and normal distributions, sampling distributions; hypothesis testing, point and interval estimation. PREREQ: MTH 111 with grade of C- or better or satisfactory score on WOU's math placement test. Does not apply toward a math major/minor.

Mth 251 Calculus I (5)
Differential calculus of functions of a single variable, including transcendental functions. PREREQ: MTH 112 with a grade of C- or better, or satisfactory score on WOU's math placement test.

Mth 252 Calculus II (5)
Integral calculus of functions of a single variable. The Fundamental Theorem of Calculus. PREREQ: MTH 251 with a grade of C- or better.

Mth 253 Calculus III: Sequences and Series (3)
Convergence and divergence of sequences, L’Hopital’s rule, improper integrals, infinite series, convergence tests, Taylor’s Theorem with remainder, power series. PREREQ: MTH 252 with grade of C- or better.

Mth 254 Multivariate Calculus (5)
Elementary vector algebra. Curves in space. Differential and integral calculus of functions of several variables and applications. Line integrals, Green’s Theorem. PREREQ: MTH 252 with grade of C- or better.

Mth 280 Introduction to Proof (3)
An introduction to basic proof strategies and elementary logic. Elementary set and function theory. PREREQ: MTH 252 with grade of C- or better.

Mth 311 Advanced Calculus I (4)
A rigorous introduction to analysis. The topology of Euclidean spaces. Completeness, compactness. The Bolzano-Weierstrass Theorem. Limits of sequences and functions. Continuity, uniform continuity. Uniform convergence. PREREQ: MTH 253 and MTH 254 with grade of C- or better. Concurrent enrollment in MTH 341. Recommended: Mth 280.

Mth 312 Advanced Calculus II (4)
A rigorous introduction to differential and integral analysis of functions of one variable. The Mean Value Theorem, Taylor's Theorem. The Riemann integral. The Fundamental Theorem of Calculus. PREREQ: MTH 311 with grade of C- or better.

Mth 313 Advanced Calculus III (4)
A rigorous treatment of the differential and integral calculus of functions of several variables. The Inverse Function Theorem, the Implicit Function Theorem, Lagrange's method of constrained optimization. Representation of functions by infinite series, power series and integrals. PREREQ: MTH 312 with grade of C- or better.

Mth 314 Differential Equations I (3)
Introduction to methods of solutions of first and second order differential equations. Linear and nonlinear equations, series solutions, applications. PREREQ: MTH 253 or MTH 254 with grade of C- or better or consent of instructor.

Mth 337 Geometry (3)
Selected topics from advanced plane or solid Euclidean, analytic, transformational, spherical geometry. PREREQ: Mth 254 with grade of C- or better. Recommended: MTH 280.

Mth 338 Axiomatic Geometry (3)
A formal development of Euclidean and non-Euclidean geometry from axioms. History of geometry. PREREQ: MTH 280 and either MTH 341 or MTH 337 with grade of C- or better.

Mth 341 Linear Algebra I (4)
Vector algebra and geometry of 3-space; systems of linear equations; Gaussian elimination; real vector spaces; determinants; linear transformations. PREREQ: Concurrent enrollment in MTH 254, Recommended: MTH 280.

Mth 344 Group Theory (3)
An introduction to the theory of groups. Lagrange’s Theorem, normal subgroups, homomorphisms, the isomorphism theorems. PREREQ: MTH 280 and MTH 341 with grade of C- or better.

Mth 345 Ring Theory (3)
An introduction to the theory of rings and fields. PREREQ; MTH 344 with grade of C- or better.

Mth 346 Number Theory (3)
Properties of integers. The division and Euclidean algorithms, Diophantine equations, prime numbers, congruencies and residues. PREREQ: MTH 253 or MTH 254 with grade of C- or better. Recommended: MTH 280

Mth 351 Introduction to Numerical Analysis (3)
Computer representation of numbers, error analysis, rootfinding, interpolation, approximation of functions, numerical integration and differentiation. PREREQ: MTH 341 with grade of C- or better.

Mth 354 Discrete Mathematics for Computer Science (3)
Enumeration relations, digraphs trees, graph theory, and related topics for computer science students. PREREQ: Mth 231. Does not apply toward a math major/minor.

Mth 355 Discrete Mathematics (3)
Sets, relations, functions, enumeration, mathematical induction, graph theory PREREQ: MTH 254 with grade of C- or better. Recommended: MTH 280

Mth 363 Linear Programming and Games (3)
Optimization of functions with linear constraints, convex sets, the simplex method and applications, duality; two person matrix games. PREREQ: MTH 341 with grade of C- or better.

Mth 365 Mathematical Probability (3)
Probability theory developed through moment generating functions. Random variables, classical probability distributions. PREREQ: MTH 253 or MTH 254 with grade of C- or better.

Mth 366 Mathematical Statistics (3)
Theory of point and interval estimation, hypothesis and significance testing. PREREQ: MTH 365 with grade of C- or better.

Mth 391 Manipulatives in Mathematics (3)
Using concrete models to teach mathematics. Learning theory from concrete to abstract. Models include Cuisenaire rods, bean sticks, 2cm. Cubes, geoboards, and multi-base blocks. Three lectures, one laboratory. PREREQ: MTH 213 with a grade of C- or better or consent of instructor. Does not apply toward math major/minor.

Mth 392 College Algebra for Elementary Teachers (3)
Enhancement of abgebraic skills via problem solving and visual representation and use of algebraic methods, Integer arrays, algebraic patterns, linear equations, quadratic equations, and graphing. Two hours lecture plus two hours lab. .PREREQ: MTH 213 with a C- or better or consent of instructor. Does not apply toward math major/minor.

Mth 393 Probability and Statistics for Elementary Teachers (3)
Using basic elements of probability and statistics to solve problems involving the organization, description and interpretation of data. Concrete application will be explored. PREREQ: MTH 213 with a C- or better or consent of instructor. Does not apply toward a math major/minor.

Mth 394 Introduction to Geometry for Elementary Teachers (3)
A brief examination of intuitive geometry including construction, basic Euclidean geometry, proof, and measure. Students may not take both MTH 394 and MTH 494 for PREREQ: Mth 213 with a C- or better or consent of instructor. Does not apply toward math major/minor.

Mth 395 Elementary Integrated Mathematics (3)
The study of computational skills, geometry, probability and statistics, data collection and number theory in applied problem solving. Extensive use of group activities technology, and real-world applications will be used to gain an understanding of the underlying mathematics and an appreciation of the utility and value of mathematics. PREREQ: MTH 396 with a C- or better or consent of instructor. Does not apply toward a math major/minor.

Mth 396 Elementary Problem Solving (3)
Goals for this class are to help elementary teachers become better mathematical problem solvers, to introduce techniques and materials helpful in improving student problem solving abilities, and to suggest ways to organize the curriculum and daily instruction to achieve problem solving goals. PREREQ: MTH 213 or consent of instructor. Does not apply toward math major/minor.

Mth 397 Secondary Problem Solving (3)
Techniques for posing and solving mathematical problems. Critical analysis of student solutions. Intended for secondary mathematics teachers. PREREQ: MTH 341, 337, or consent of instructor. Does not apply to a math major/minor.

Mth 398 Elementary School Mathematics (3)
The study of mathematical topics relevant to the elementary and middle school curriculum. All topics will be studied with emphasis on problem solving and use of multiple strategies for solving the problem. PREREQ: MTH 396, MTH 391. Does not apply toward a math major/minor.

Mth 401 Research (1-9)
Terms and hours to be arranged.

Mth 402 Independent Study (1-3)
Terms and hours to be arranged.

Mth 403 Senior Project (1-4)
Terms to be arranged during the final year of study.

Mth 404 Work experience; Internship (1-9)
Terms and hours to be arranged.

Mth 405 Reading and Conference (1-6)
Terms and hours to be arranged.

Mth 406 Special Problems/Projects (1-3)
Terms and hours to be arranged.

Mth 407/507 Seminar (1-3)
Terms and hours to be arranged.

Mth 408 Workshop (1-9)
Terms and hours to be arranged.

Mth 409 Practicum (1-4)
Terms and hours to be arranged.

Mth 410/510 Advanced Topics: Analysis (3)
Topics in analysis for advanced undergraduate students. Students enrolled in MTH 510 will be expected to complete a graduate project. PREREQ: MTH 312 with grade of C- or better.

Mth 414 Differential Equations II (3)
Methods of solutions of n^thorder linear equations, the method of Laplace transforms, systems of 1^st order equations, numerical methods, applications. PREREQ: MTH 314 and MTH 341 with grade of C- or better.

Mth 416 Complex Analysis (3)
The analysis of functions of a single complex variable. Conformal mappings, Cauchy's Theorem, Cauchy's Integral Formula, power series expansion of analytic functions. PREREQ: Concurrent enrollment in MTH 312.

Mth 420/520 Advanced Topics: Applied Mathematics (3)
Topics in applied mathematics for undergraduate students.
Students enrolled in MTH 520 will be expected to complete a graduate project. PREREQ: Consent of instructor.

Mth 430/530 Advanced Topics: Geometry (3)
Topics in geometry for advanced undergraduate students. Students enrolled in MTH 530 will be expected to complete a graduate project. PREREQ: Consent of instructor.

Mth 437/537 Topology (3)
Introduction to point set topology and metric spaces. Continuity, compactness, connectedness. Students enrolled in MTH 537 will be expected to complete a graduate project. PREREQ: MTH 311

Mth 439 Transformational Geometry (3)
A study of transformations of the plane. Classification of the plane isometries. Crystallographic and frieze groups. PREREQ: MTH 337 or 338 with a grade of C- or better.

Mth 440 Advanced Topics: Algebra (3)
Topics in modern algebra for advanced undergraduate students. PREREQ: Consent of instructor.

Mth 441/541 Linear Algebra II (3)
Complex vector spaces, linear transformations, canonical forms, the spectral theorem and eigenvalue problems, applications. Students enrolled in MTH 541 will be expected to complete a graduate project. PREREQ: MTH 341.

Mth 446 Abstract Algebra (3)
A rigorous treatment of group theory. Examples from many branches of mathematics. Normal subgroups, quotient groups, the homomorphism and isomorphism theorems. PREREQ: MTH 345 or consent of instructor.

Mth 451 Numerical Analysis (3)
Introduction to numerical liner algebra, elements of approximation theory including data fitting. Theoretical foundations of numerical analysis. PREREQ: MTH 311 and MTH 351.

Mth 460 Advanced Topics: Probability and Statistics (3)
Topics in probability and statistics for advanced undergraduate students. PREREQ: Consent of instructor.

Mth 472 History of Mathematics (3)
The history of mathematics from ancient to modern times: The effect of mathematics on the development of science. The interaction of mathematics with other fields of human endeavor such as philosophy, arts and social values. PREREQ: Consent of instructor.

Mth 482 Foundations of Mathematics (3)
Selected topics from: Axiomatic systems, consistency, completeness, set theory, cardinality. Construction of number systems. PREREQ: Consent of instructor.

Mth 489/589 Algebraic Structures for Middle School Teachers (3)
The study of integers and algebraic skills; solving linear and quadratic equations, inequalities, functions, graphing and complex numbers. Connection of visual methods (using Math in the Mind's Eye curriculum and materials) to the NCTM standards with extensive use of group activities and hands-on models.

Mth 491/591 Historical Topics in Mathematics for Middle School Teachers (3)
A survey of the historical development of topics in mathematics from ancient to modern times, with special emphasis on topics in arithmetic, algebra and informal geometry. Applications to middle school mathematics.

Mth 492/592 Abstract Algebra for Middle School Teachers (3)

An introduction to abstract mathematics as a structured mathematical systems. This course will explore number sets and properties, and beginning group theory with concrete applications for the elementary and middle school classroom. PREREQ: MTH 396 with a grade of C- or better or concent of instructor. Does not apply toward math major.

Mth 493/593 Experimental Probability & Statistics for Middle School Teachers (3)
The study of data collection and hypothesis testing through laboratory experiments, simulations and applications. The use of technology will be an important part of the data collection and analysis. PREREQ: MTH 212 with a grade of C- or better or consent of instructor. Does not apply toward a math major/minor.

Mth 494/594 Geometry for Middle School Teachers (3)
Selected topics in informal geometry through the use of discovery and technology. The studies in how students learn geometry will be used in the development of geometric ideas. Student may not take both MTH 394 and MTH 494 for their undergraduate program. PREREQ: MTH 213 with a grade of C- or better. Does not apply toward math major/minor.

Mth 495/595 Calculus Concepts for Middle School Teachers (3)
An introductionto the theory of functions of one real variable, the derivative and it's applications to optimization, integration theory and its applications to areas and volumes, the Fundamental Theorem of Calculus and infinite series. A hands on approach with applications to the middle school curriculum. Does not apply to math major/minor. PREREQ: MTH 392 or MTH 111 with a grade of C- or better, or consent of instructor.

Mth 496/596 Problem Solving for Middle School Teachers (3)
Goals for this class are to help elementary teachers become better mathematical problem solvers, to introduce techniques and materials helpful in improving student problem solving abilities, and to suggest ways to organize the curriculum and daily instruction to achieve problem solving goals

Mth 497/597 Discrete Mathematics for Middle School Teachers (3)
In this course we will explore the topics of logical operators and sets, experimental vs. theoretical probability, the multiplication rule, permutations and combinations, and an introduction to graph theory

Mth 498/598 Computer Applications in Math (3)
Integration of the computer into mathematics as a tool in problem solving and traditional mathematical computations at all levels. Commercial and student-written programs will be used. Students enrolled in MTH 598 will be expected to complete a graduate project. PREREQ: CS 211, MTH 252, or consent of instructor.

Mth 499/ 599 Advanced Integrated Mathematics (3)
The study of computational skills, ratio, proportion, fractions and measurements in applied problem solving. Connection of visual methods to the NCTM standards with extensive use of group activities and hands-on models.

Mth 601 Research (1-9)
Terms and hours to be arranged.

Mth 602 Independent Study (1-3)
Terms and hours to be arranged.

Mth 503 Thesis (1-9)
Terms and hours to be arranged.

Mth 604 Work Experience Internship (1-9)
Terms and hours to be arranged.

Mth 605 Reading and Conference (1-6)
Terms and hours to be arranged.

Mth 606 Special Problems/Projects (1-3)
Terms and hours to be arranged.

Mth 608 Workshop (1-9)
Terms and hours to be arranged.

Mth 609 Practicum (1-4)
Terms and hours to be arranged.

Mth 617 Complex Analysis (3)
The analysis of functions of a single complex variable. Conformal mappings, Cauchy's Theorem, Cauchy's Integral Formula, power series expansion of analytic functions. PREREQ: Consent of instructor.

Mth 638 Transformational Geometry (3)
A study of transformations of the plane. Classification of the plane isometries. Crystallographic and frieze groups. PREREQ: Consent of instructor.

Mth 647 Abstract Algebra (3)
Advanced group theory or ring and field theory. PREREQ: Consent of instructor.

Mth 652 Numerical Analysis (3)
Introduction to numerical liner algebra, elements of approximation theory including data fitting. Theoretical foundations of numerical analysis. PREREQ: Consent of the instructor.

Mth 673 History of Mathematics (3)
The history of mathematics from ancient to modern times: The effect of mathematics on the development of science. The interaction of mathematics with other fields of human endeavor such as philosophy, arts and social values. PREREQ: Consent of instructor.

Mth 681 Foundations of Mathematics (3)
Selected topics from: Axiomatic systems, consistency, completeness, set theory, cardinality. Construction of number systems. PREREQ: Consent of instructor.

Mth 690 Advance Topics: Mathematics Education (3)
A study of selected topics in the teaching of mathematics. PREREQ: Consent of instructor.