
20042005 Mathematics Course Descriptions
2004  2005 Mathematics Course Descriptions
MATH

085

Prealgebra

(3)

Operations with fractions, decimals, and signed numbers; percents; introduction
to algebraic expressions, solving equations, and graphing; geometry and
measures. No prerequisite.

MATH

095

Elementary Algebra

(3)

Properties of real numbers, variables, exponents, equations, and operations
with algebraic expressions, including factoring, solving linear equations
and inequalities, graphing. Prerequisite: MATH 085 or placement test.

MATH

105

Intermediate Algebra

(3)

The real numbers, algebraic expressions and functions, polynomial operations
and factoring, complex numbers, solutions of equations and inequalities
including the quadratic formula, systems of equations, and graphs. Prerequisite:
MATH 095 or placement test.

MATH

120

Quantitative Reasoning

(4)

An introduction to contemporary mathematics through a survey of several
practical and interesting uses of mathematics in society, including topics
in logic, geometry, probability and statistics, with some attention given
to historical background. Prerequisite: MATH 105 or placement test.

MATH

141

College Algebra

(4)

A study of equations and inequalities, graphs and functions including
polynomials, rational functions, exponential and logarithmic functions;
conic sections, systems of equations and matrices. Prerequisite: MATH
105 or placement test.

MATH

142

Trigonometry

(2)

The study of trigonometric functions, their graphs, and applications:
navigation and surveying problems, modeling cyclic behavior, complex numbers,
polar coordinates, and vectors. Prerequisite: MATH 141 or placement test.

MATH

150

Elementary Statistics

(4)

An introduction to the use of statistics as a valuable tool for analyzing
data in a variety of fields. Includes topics in elementary descriptive
and inferential statistics, including the normal distribution, correlation,
regression, and testing hypotheses. Prerequisite: MATH 105 or placement
test.

MATH

200/300

Special Topics

(14)

Prerequisite: consent of mathematics faculty. Offered on sufficient demand.

MATH

201202

Calculus I and II

(4,4)

Processes of differentiation and integration of algebraic, trigonometric,
exponential, and logarithmic functions; applications to geometry, physical
and life sciences, and economics; limits; sequences and series. Prerequisite:
MATH 142 or placement test. MATH 201 is a prerequisite for MATH 202.

MATH

204

Linear Algebra and Differential Equations

(4)

Topics from both fields, emphasizing geometric and qualitative properties;
includes an introduction to vectors, dot products, orthogonality, matrix
operations, existence and uniqueness of solutions to differential equations.
Prerequisite: MATH 202. Offered every Fall Semester.

MATH

210

Discrete Mathematics

(3)

Topics in sets, logic, elementary counting including permutations and
combinations, finite probability, sequences and mathematical induction.
Prerequisite: MATH 201. Offered every semester.

MATH

303

Multivariate Calculus

(4)

Topics include vector functions, partial derivatives, multiple integrals,
the gradient, divergence, and curl of vector functions, and theorems from
vector calculus. Prerequisite: MATH 204. Offered every Spring Semester.

MATH

308

Putnam Seminar

(1)

Preparation for taking the national Putnam exam, given each December.
Students will practice solving problems from previous exams and making
presentations to the class. Prerequisites: MATH 204, 210, junior or senior
standing or consent of instructor. Offered every fall semester.

MATH

310

Probability and Statistics

(4)

Mathematical treatment of selected topics from statistics, including
introduction to theory of probability, binomial and normal distributions,
sampling theory, correlation, and regression analysis. Prerequisites:
MATH 202, 210. Offered Fall Semester 2007.

MATH

311

Linear Algebra II

(4)

Vector spaces, basis, dimension; theory of matrices, rank, systems of
equations, determinants; linear transformations, change of basis, characteristic
value problems, quadratic forms. Prerequisites: MATH 204, 210, 303. Offered
Fall Semester 2004.

MATH

312

Abstract Algebra

(4)

Sets, relations, and functions. Introduction to theory of groups, rings,
and fields. Prerequisites: MATH 202; 210, or the equivalent. Offered every
Spring Semester.

MATH

314

Foundations of Geometry

(4)

Modern axiomatic development of plane geometry and related systems. Includes
investigation of finite geometry and hyperbolic geometry. Prerequisites:
MATH 202, 210. Offered Fall Semester 2004.

MATH

321

Advanced Calculus

(4)

Topics include the theory of limits, properties of real numbers, properties
of continuous functions, uniform convergence, completeness of metric spaces,
the Riemann integral, implicit and inverse function theorems, calculus
of several variables, geometry of curves and surfaces, and vector calculus.
Prerequisites: MATH 210, 303 and junior or senior status. Offered every
Fall Semester.

MATH

323

Real and Complex Analysis

(3)

Topics include integration theory, sequences and series (complex and
real), contour integration, analytic functions, and conformal mappings,
with some applications to partial differential equations. Prerequisite:
MATH 321. Offered Spring Semester 2006.

MATH

340

History of Mathematics

(3)

A survey of the history of mathematics, from antiquity to the modern
period. Prerequisites: MATH 204, 210. Offered every Spring Semester.

MATH

350

Methods of Teaching Secondary School Mathematics

(2)

Credit does not apply towards academic major or minor. Prerequisite:
Admittance into Elementary or Secondary Education Program; junior or senior
standing. Offered every Fall Semester.

MATH

360

Discrete Mathematics II

(4)

Further study of topics introduced in MATH 210, including recurrence
relations, combinatories, algorithm analysis, and graph theory. Additional
topics are finite automata theory, stochastic processes, neural networks,
Boolean algebras, and formal languages. Prerequisite: MATH 210, CMPT 201.
Offered Spring Semester 2005.

MATH

362

Numerical Analysis

(4)

Solution of nonlinear equations and linear systems, interpolation and
approximation, and numerical differentiation and integration. Students
will be expected to program some problems for computer solutions. Prerequisites:
MATH 210, 303; CMPT 201. Same as CMPT 362. Offered Spring Semester 2006.

MATH

363

Differential Equations II

(4)

Topics include a review of methods for solving linear systems; nonlinear
systems, Laplace transform cd power series methods of solving equations;
topics from partial differential equations; heat equation, Laplace's equation,
wave equation, and Fourier series methods. Prerequisites: MATH 204, 210,
303. Offered Fall Semester 2005.

MATH

387

Undergraduate Teaching

(11)

For teaching assistants in lower division mathematics problemsolving
courses. A maximum of two credit hours of MATH 387 may be applied toward
the major or minor. Prerequisite: consent of program director.

MATH

401

Directed Studies

(14)

A tutorialbased course used only for studentinitiated proposals for
intensive individual study of topics not otherwise offered in the Mathematics
Program. Prerequisites: junior or senior standing and consent of instructor
and school dean.

MATH

440

Internship

(18)

Offers students the opportunity to integrate classroom knowledge with
practical experience. Prerequisites: junior or senior standing (for transfer
students, at least 15 hours completed at Westminster), minimum 2.5 GPA,
completion of the Career Resource Center Internship Workshop, and consent
of program director and Career Center Internship Coordinator.

