Mathematics Classes
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 095 Intermediate 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 (4)
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 (4)
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 (4)
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
(4)
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
(4)
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 (4)
An introduction to the theory
of rings and fields. PREREQ;
MTH 344 with grade of C- or
better.
MTH
346 Number Theory
(4)
Properties of integers.
The division and Euclidean algorithms,
Diophantine equations, prime
numbers, congruencies and residues.
PREREQ: MTH 280.
MTH
351 Introduction
to Numerical Analysis (4)
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
(4)
Sets, relations, functions,
enumeration, mathematical induction,
graph theory PREREQ: MTH 254
with grade of C- or better.
Recommended: MTH 280.
MTH 358 Mathematical Modeling (4)
Construction, analysis, and interpretation of a variety of mathematical models that arise from
real-world problems. PREREQ: MTH 254 and MTH 341 with grade of C- or better.
MTH
363 Operations Research (4)
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 (4)
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 (4)
Theory of point and interval
estimation, hypothesis and significance
testing. PREREQ: MTH 365 with
grade of C- or better.
MTH
391 Manipulatives
in Mathematics (4)
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 Discrete Mathematics for Elementary Techers (3)
Explores topics in discrete mathematics including set theory, enumeration and graph theory. Techniques in enumeration include the multiplication rule, combinations and permutations. Topics in graph theory include coloring, the traveling salesman problem and spanning trees. Two hours of lecture plus two hours lab.
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 Special
Topics: Analysis (3)
Topics in analysis for advanced
undergraduate students. PREREQ: MTH 312 with
grade of C- or better.
MTH 411 Capstone Experience for Mathematics Education (4)
Terms to be arranged before entering the Education Program.
MTH
416 Complex Analysis (4)
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 Special Topics: Applied Mathematics
(3)
Topics in applied mathematics
for undergraduate students. PREREQ:
Consent of instructor.
MTH
430 Special
Topics: Geometry (3)
Topics in geometry for advanced
undergraduate students. PREREQ: Consent of
instructor.
MTH
440 Special Topics:
Algebra (3)
Topics in modern algebra
for advanced undergraduate students.
PREREQ: Consent of instructor.
MTH
441 Linear Algebra II (4)
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
451 Numerical Analysis (4)
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 Special Topics:
Probability and Statistics (3)
Topics in probability and
statistics for advanced undergraduate
students. PREREQ: Consent of
instructor.
MTH
472 History of Mathematics
(4)
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 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)
Assists middle school teachers in becoming better mathematical problem solvers. Focuses on general problem solving techniques, introduces materials helpful in improving student problem solving abilities, and suggests ways to organize the curriculum to achieve problem solving goals. Does not apply toward a math major/minor. Prerequisite: MTH 213 with a grade of C- or better in MTH 211, 212 and 213 or consent of instructor.
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 499/ 599
Algebraic Problem Solving for Middle School Teachers
(3)
Assists middle school teachers in becoming better mathematical problem solvers. Focuses on algebraic problem solving techniques, introduces materials helpful in improving student problem solving abilities, and suggests ways to organize the curriculum to achieve problem solving goals. Does not apply toward a math major/minor. Prerequisite: MTH 213 with a grade of C- or better in MTH 211, 212 and 213 or consent of instructor.