2006 - 2007 Mathematics Courses

MATH

095

Elementary Algebra

(3)

Properties of the real number system, linear equations and inequalities, graphing, exponent, operations with algebraic expressions, factoring, and problem solving. Prerequisite: pre-algebra or placement test. Offered every semester.

 

MATH

105

Intermediate Algebra

(3)

Brief review of basic algebra, linear equations and inequalities, graphs, functions, systems of equations, factoring, rational expressions, radicals, and quadratic equations. Prerequisite: MATH 095 or placement test. Offered every semester.

 

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)

Linear and quadratic equations and inequalities, complex numbers, graphs, modeling, functions including polynomial, rational, exponential, and logarithmic, systems of equations and matrices, sequences and series. Prerequisite: MATH 105 or placement test. Offered every semester.

 

MATH

142

Trigonometry

(2)

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

 

MATH

150

Elementary Statistics

(4)

An introduction to the use of statistics as a valuable tool for analyzing data in a variety of fields. Topics in elementary descriptive and inferential statistics, including the normal, binomial, Student t, and chi-square distributions, correlation and regression, confidence intervals, and hypothesis testing. Prerequisite: MATH 105 or placement test. Offered every semester.

 

MATH

200/300

Special Topics

(1-4)

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

 

MATH

201

Calculus I

(4)

Functions, graphs and limits. Differential calculus of algebraic, trigonometric, exponential, and logarithmic functions with applications to geometry, the physical and life sciences, and economics. Prerequisite: MATH 141, 142 or placement test.. Offered every semester.

       
MATH 201B Calculus for the Life Sciences (4)

Differential calculus. Applications in biological sciences, including discrete difference methods, exponential growth and decay, and initial value problems. Prerequisites: MATH 141, 142. Offered every Fall semester.

       

MATH

202

Calculus II

(4)

Integral calculus of algebraic, trigonometric, exponential, and logarithmic functions with applications to geometry, the physical and life sciences, and economics. Sequences and series. Taylor’s theorem. Prerequisite: MATH 201 or 201B or placement test. Offered every semester.

 

MATH

203

Multivariate Calculus

(4)

Vectors in n-space, differential calculus in several variables, vector fields, integration and its applications in several variables, line, surface, volume, and flux integrals. Green’s, Stokes’, and the divergence theorems. Prerequisite: MATH 202. Offered every Fall semester.

       

MATH

204

Linear Algebra and Differential Equations

(4)

Topics from both fields and their interaction will be discussed. Topics from linear algebra include matrix operations, some vector space theory and eigenvalues. Topics from differential equations include separation of variables, the integrating factor method and solutions to general linear differential equations . Prerequisite: MATH 202. Offered every semester.

 

MATH

210

Discrete Mathematics I

(4)

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

 

MATH

308

Putnam Seminar

(1)

Preparation for the William Lowell Putnam Mathematical competition. May be taken twice for credit. Prerequisites: MATH 204 and junior standing. Offered every fall semester.

 

MATH

310

Probability and Statistics

(4)

Introduction to probability theory including combinatorial analysis, conditional probability, discrete and continuous random variables, expectation and variance, jointly distributed random variables, and sampling theory. Prerequisites: MATH 202, 210. Offered Spring semester even-numbered years.

 

MATH

311

Linear Algebra II

(4)

Rigorous treatment of Euclidean space, linear systems, theory of Gaussian elimination, determinants, and inverses. General vector spaces, linear transformations, quadratic forms, and least squares. Eigenvalues and eigenvectors, diagonalization. Includes Matlab programming. Prerequisites: MATH 203, 204, 210. Offered Fall semester even-numbered years.

 

MATH

312

Abstract Algebra

(4)

Sets, relations and functions. Number theory. Rings, fields and groups. Galois theory. Prerequisites: MATH 203, 204, 210. 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 even-numbered years.

 

MATH

321

Advanced Calculus

(4)

A proof based class in which many of the results assumed in Calculus are proven. Topics include point set topology of real numbers, a rigorous treatment of limits for sequences and functions, continuity and differentiability. Prerequisites: MATH 203, 204, 210 and junior or senior status. Offered every Fall semester.

 

MATH

323

Real and Complex Analysis

(4)

Functions of one complex variable, analyticity, Cauchy-Riemann equations, derivatives and integrals of complex functions, complex series, and residue theory. Prerequisite: MATH 203, 204, 210. Offered Spring semester even-numbered years.

 

MATH

340

History of Mathematics

(3)

A survey of the history of mathematics, from antiquity to the modern period. Prerequisites: MATH 202, 210. Offered every Spring semester.

 

MATH

350

Methods of Teaching Secondary School Mathematics

(2)

Emphasis on methods for teaching secondary math topics such as algebra, geometry, and trigonometry. Credit does not apply toward academic major or minor. Prerequisite: Admittance into Secondary Education Program. Offered every Fall semester.

 

MATH

360

Discrete Mathematics II

(4)

Topics from number theory and an introduction to algebraic structures including Boolean algebras, rings, fields, and groups. Computer algebra systems and algorithms. Graph theory and trees. Formal languages, finite automata, and Turing machines. Includes JAVA programming. Prerequisite: MATH 210, CMPT 201. Offered every spring semester.

 

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 203, 204, 210, CMPT 201. Same as CMPT 362. Offered Spring semester even-numbered years.

 

MATH

363

Differential Equations II

(4)

Topics include a review of methods for solving linear systems; non-linear 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 203, 204, 210. Offered Fall semester odd-numbered years.

 

MATH

385

ETS Exam

(0)

Teaching and academic majors must register for the ETS exam during the Spring semester of their senior year. The ETS subject exam covers the range of undergraduate mathematics topics. Students complete the MATH 385 requirement by taking the ETS exam.

 

MATH

387

Undergraduate Teaching

(1-1)

For teaching assistants in lower division mathematics problem-solving 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

(1-4)

A tutorial-based course used only for student-initiated 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

(1-8)

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 or permission of instructor), minimum 2.5 GPA, completion of the Career Resource Center Internship Workshop, and consent of program director and Career Center Internship Coordinator.