Chair and Professor-Wayment. Professors-Bandy, Chatfield, Dix, Edgell, Hazlewood, Jia, Kennedy, Northcutt, Passty, Singh, Spellmann, Thickstun, Torrejon, M. Warshauer, Welsh. Associate Professors-Acosta, Curtin, Gu, Jones, Ratliff, Snyder. Assistant Professors-Doerr, Lee, McCabe, Morey, Smith. Lecturers-Davis, Fatehi, Fischer, Gronberg, Hermsmeier, H. Warshauer, Zielinski.

Mathematics is a fundamental skill required at some minimal level of all educated people and required in depth by many professions.

At SWT all students must complete a mathematics course at the level of college algebra. Many disciplines require significantly more mathematical training. The department prepares students through a pre-engineering program to continue toward a career in science or engineering. Students may also prepare for a career in secondary teaching while obtaining a bachelor's degree.

Since mathematics is a clearly defined discipline in its own right, students may also prepare for a career in mathematics. A spectrum of pure and applied courses is taught to prepare students for entry into graduate school in mathematics or other closely related fields.

For more information, call 245-2551 or visit the Mathematics and Computer Science Building, Room 470.

For the BA or BS, a major in mathematics requires at least 32 semester hours, including Mathematics 2471, 2472, 3380, 4307, and 18 semester hours of advanced mathematics. The eighteen hours must follow one of two plans. The first consists of 3373, 4315, 4330 plus any three of the following courses: 3305, 3323, 3325, 3330, 3348, 3375, 3377, 3398, 3428, 4305, 4306, 4336, 4338, 4382. The second consists of 3305, 3315, 3377, 4304, 4311 and either 4315 or 4330. Notice that Mathematics 3315, 4302, 4304 and 4311 are not in the list of elective courses when taking the plan that includes Mathematics 3373. Even though Mathematics 2471 is the first required mathematics course some students will need to take courses numbered below 2471. Credit examinations in mathematics 1315, 1317, 2363 and 2417 are available.

A student seeking certification to teach at the secondary level must take Computer Science 1308 (or Psychology 3353), Reading 3324, Education 4681 and Curriculum and Instruction 3325, 4332, 4341, 4343. The student who has further questions should see the undergraduate advisor in Mathematics.

A minor in mathematics without certification consists of at least 17 hours of course work in mathematics including Mathematics 2471, 2472 and at least three advanced courses. The advanced courses may not include 3315, 4302, 4304, 4311, or 4382.

First semester freshmen who plan to enroll under the pre-engineering curriculum and whose background is inadequate for enrollment in Mathematics 2471 should attend summer school to earn credit in needed pre-calculus course work in order not to delay their graduation.

Students who do not achieve an SAT score of at least 435 (480 recentered) or an ACT math score of at least 21 must take a math placement exam administered by the University Testing Center. The examination determines which students must first enroll in Math 1300 (Pre-College Algebra) and/or Math 1311 (Basic Mathematics) before they enroll in the required Math 1315 (College Algebra) or Math 1319 (Math for Business and Economics I).

The Mathematics department website is http://www.swt.edu.math/

Degree Requirements:

1. At least 32 hours are required in mathematics and must include Mathematics 2471, 2472, 3380, 4307, and at least 18 semester hours of advanced mathematics. The eighteen hours must follow one of two plans. The first consists of 3373, 4315, 4330 plus any three of the following courses: 3305, 3323, 3325, 3330, 3348, 3375, 3377, 3398, 3428, 4305, 4306, 4336, 4338, 4382. The second consists of 3305, 3315, 3377, 4304, 4311 and either 4315 or 4330.

2. General Studies requirements must be satisfied. See the General Studies section of this catalog.

3. Three hours in a scientific programming language are required in computer science with Computer Science 2488 (or 1318) recommended.

4. A fourth semester of English is required for this degree.

5. One year of college level modern language is required.

6. A total of 40 advanced hours is required to graduate. An advanced course is one that is numbered above 3000 and below 5000.

Freshman Year	Hours
Communication 1310*	3
Electives	3
English 1310, 1320*	6
General Studies 1100*	1
History 1310, 1320*	6
Mathematics 2471	4
Minor	8
Phy. Fitness Perspective (2 courses)*	2
	33
Sophomore Year	Hours
Computer Science (1318 or 2488
recommended)	3-4
English (Literature)*	3
English	3
Mathematics 2472 and one three
hour advanced	7
Minor	6
Modern Language	6-8
Philosophy 1305*	3
	31-34
Junior Year	Hours
Art, Dance, Music, or Theatre 3313*	3
Mathematics 3380 and two
advanced courses	9
Minor	6
Political Science 2310, 2320*	6
Natural Science Perspective*	7-8
	31-32
Senior Year	Hours
Electives	15
Mathematics 4307 and three
advanced courses	12
Minor	3
Social Science Perspective*	3
	33

Degree Requirements:

1. At least 32 hours are required in mathematics and must include Mathematics 2471, 2472, 3380, 4307, and at least 18 semester hours of advanced mathematics. The eighteen hours must follow one of two plans. The first consists of 3373, 4315, 4330, plus any three of the following courses: 3305, 3323, 3325, 3330, 3348, 3375, 3377, 3398, 3428, 4305, 4306, 4336, 4338, 4382. The second consists of 3305, 3315, 3377, 4304, 43ll and either 4315 or 4330.

2. General Studies requirements must be satisfied. See the General Studies section of this catalog.

3. Three hours in a scientific programming language are required in computer science with Computer Science 2488 (or Computer Science 1318) recommended.

4. Students are required to complete 2310 and 2320 in a modern language.

5. A total of 40 advanced hours is required to graduate. An advanced course is one that is numbered above 3000 and below 5000.

Freshman Year	Hours
Communication 1310	3
Electives	3
English 1310, 1320*	6
General Studies 1100*	1
History 1310, 1320*	6
Mathematics 2471	4
Phy. Fitness Perspective (2 courses)*	2
Natural Science*	7-8
	32-33
Sophomore Year	Hours
Computer Science (1318 or 2488 recommended)	3-4
English (Literature)	6
Mathematics 2472 and 3 hours advanced	7
Minor	6
Modern Language	8
Philosophy 1305*	3
	33-34
Junior Year	Hours
Art, Dance, Music, or Theatre 3313*	3
Mathematics 3380, and two advanced courses	9
Minor	9
Modern Language	6
Political Science 2310, 2320*	6
	33
Senior Year	Hours
Electives	9
Mathematics 4307, and three
advanced courses	12
Minor	6
Social Science Perspective*	3
	30

*See the General Studies section of this catalog.

Courses in Mathematics (MATH)

1300 Pre-College Algebra. (3-0) A course to remediate and review basic academic skills in mathematics, including number concepts, computation, elementary algebra, geometry and mathematical reasoning. Mathematics 1300 will not constitute a part of the hours required for a bachelor's degree.

1311 Basic Mathematics. (3-0) A preparatory course for college algebra. Topics include linear equations and inequalities, rational expressions, exponents and radicals, quadratics and word problems. This course is designed for students who have graduated from high school with no more than the minimum mathematics requirements or for students who have been away from mathematics for a number of years. Prerequisite: Mathematics 1300 with a grade of "CR" or Mathematics ACT score of at least 15 (SAT 320 or SAT recentered 400); or a mathematics placement score of at least 14. Mathematics 1311 will not constitute a part of the hours required for a baccalaureate degree.

1315 (MATH 1314) College Algebra. (3-0) A course covering linear and quadratic equations, inequalities, word problems, functions, logarithms, systems of equations and other college algebra topics as time permits. Prerequisite: Mathematics ACT Score of at least 21 (SAT 435 or SAT recentered 480); or a mathematics placement score of at least 26; or Mathematics 1311 with a grade of A, B, C, or CR.

1316 A Survey of Contemporary Mathematics. (3-0) A study of the uses of mathematics in society today. Emphasis is on concepts rather than technical details. May not be used as a prerequisite for any other mathematics course. Prerequisite: Mathematics ACT score of at least 21 (SAT 435 or SAT recentered 480); or a mathematics placement score of at least 26; or Mathematics 1311 with a grade of A, B, C or CR.

*1317 (MATH 1316) Plane Trigonometry. (3-0) A course covering trigonometric functions, right triangles, radian measure, graphs of trigonometric functions, trigonometric identities, including multiple and half-angle identities, inverse trigonometric functions, trigonometric equations, oblique triangles, and complex numbers. A student may receive credit for only two of Mathematics 1317, 2417, and 2363. Prerequisite: A grade of at least C in Mathematics 1315.

1319 (MATH 1324) Mathematics for Business and Economics I. (3-0) Topics from college algebra and finite mathematics which apply to business and economics including applications of equations and inequalities, simple and compound interest and annuities. Prerequisite: Mathematics ACT score of at least 21 (SAT 435 or SAT recentered 480) or a mathematics placement score of at least 26; or Mathematics 1311 with a grade of A, B, C, or CR.

1329 (MATH 1325) Mathematics for Business and Economics II. (3-0) Topics from finite mathematics and elementary differential calculus which apply to business and economics. Prerequisite: A grade of at least C in either Mathematics 1315 or 1319.

2311 Principles of Mathematics I. (3-0) Logical deductive reasoning, number theory, a rational development of the real numbers with the associated number structures and algorithms for the fundamental operations, including historical, philosophical and cultural significance. Prerequisite: A grade of at least a C in Mathematics 1315.

2312 Informal Geometry. (3-0) Geometric measuring. Euclidean Geometry, and topics associated with informal geometry, including historical, philosophical, and cultural significance. Prerequisites: A grade of at least a C in Mathematics 2311.

2321 Mathematics for Life Sciences I. (3-0) This course is designed to serve the needs of students in the life sciences. Topics will include: graphs, derivatives, exponents and logarithms, scientific notation, sequences, summation, and applications. Prerequisite: An ACT score in Mathematics of at least 24 (SAT 500 or SAT recentered 520) or a grade of at least a C in Mathematics 1315.

2328 (MATH 1342) Non-Mathematical Statistics. (3-0) Non-mathematical introduction to random sampling, mean, variance, statistical inference, testing hypothesis and regression analysis. Prerequisite: A grade of at least a C in Mathematics 1315.

2331 Mathematics for Life Science II. (3-0) Extension of Mathematics 2321. Topics will include: trigonometric functions, probability, integral calculus, differential equations, and applications. Prerequisite: A grade of at least a C in Mathematics 2321.

2358 Discrete Mathematics I. (3-0) A study of discrete mathematical structures that are commonly encountered in computing hardware and software. Prerequisite: A grade of at least a C in Mathematics 1315.

*2363 (MATH 1348) Analytic Geometry. (3-0) A course covering lines, circles, parabolas, ellipses, hyperbolas, translations, rotations, polar coordinates, and vectors. A student may receive credit for only two of Mathematics 1317, 2417, and 2363. Prerequisite: A grade of at least a C in Mathematics 1317.

*2417 (MATH 2412) Pre-Calculus Mathematics. (3-2) A survey of functions, trigonometry and analytic geometry to prepare students for calculus. Prerequisite: An ACT score in mathematics of at least 24 (SAT 500 or SAT recentered 520) or a grade of at least a C in Mathematics 1317.

2471 (MATH 2413) Calculus I. (3-2) A first course in differential and integral calculus which stresses limits as well as the applications of calculus to the problems of science. Prerequisite: An ACT score in mathematics of at least 26 (SAT 540 or SAT recentered 560) or a grade of at least a C in either Mathematics 2363 or 2417.

2472 (MATH 2414) Calculus II. (3-2) A continuation of differential and integral calculus including methods of integration, sequences and series, and introduction to partial derivatives. Prerequisite: Mathematics 2471 with a grade of at least C.

3305 Introduction to Probability and Statistics. (3-0) Basic probability models, generating functions and conditional probability, also discrete and continuous, univariate and bivariate distributions of random variables. Concepts of estimation, tests of hypothesis and statistical inference. Prerequisite: A grade of a least a C in Mathematics 2472.

3315 Modern Geometry. (3-0) Modern geometry with emphasis on the triangle, circle, plane and Euclidian geometry, and historical aspects will be integrated into the course. Prerequisites: A grade of at least a C in any of Mathematics 2311, 2331, or 2471.

3323 Differential Equations. (3-0) A course covering solutions to the more common types of ordinary differential equations, especially those of first and second order, with emphasis on geometrical and physical interpretations. Prerequisite: Mathematics 2472 with a grade of at least C.

3325 Number Systems. (3-0) Algebraic construction of the natural numbers. Covers the basic vocabulary and proof techniques of abstract algebra, and the structural properties of the natural numbers, integers, rational, real and complex number systems. Prerequisite: Credit or concurrent registration for Mathematics 2471.

3330 Introduction to Topology. (3-0) An introduction to the theory of sets, relations, functions, finite and infinite sets, and other selected topics. Algebraic structure and topological properties of Euclidean Space, and an introduction to metric spaces. Prerequisite: A grade of at least a C in Mathematics 2471.

3348 Deterministic Operations Research. (3-0) This course provides a broad view of deterministic operations research techniques. Topics include dynamic programming, linear and integer programming, deterministic inventory models, and sequencing problems. This course is listed also as Computer Science 3348. Prerequisite: Mathematics 1315 with a grade of at least C.

3373 Calculus III. (3-0) A course covering sequences and series, vectors, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, and applications. Prerequisite: Mathematics 2472 with a grade of at least C.

3375 Engineering Mechanics. (3-0) A course covering statics, using a vector approach to mechanics. The course is designed to satisfy the requirements of engineering schools. Prerequisite: Physics 1430 and credit or concurrent enrollment in Mathematics 2472.

3377 Topics in Linear Algebra. (3-0) An introductory course in linear algebra covering vector spaces, linear transformation, matrices, systems of linear equations, and inner product spaces. Prerequisite: Mathematics 2472 with a grade of at least C.

3380 Advanced Calculus I. (3-0) A course covering the introduction to the theory of real functions. Topics include limits, continuity and derivatives and associated topics. Prerequisite: Mathematics 2472 with a grade of at least C.

3398 Discrete Mathematics II. (3-0) A continuation of discrete Mathematics I. Prerequisite: A grade of at least C in Mathematics 2358.

3428 Introduction to Numerical Analysis With Computer Applications. (3-2) Basic numerical methods for function evaluation; root finding; interpolation; numerical differentiation; and numerical integration. Prerequisite: A grade of C or better in Mathematics 2472 and in a 3 hour course in FORTRAN programming.

4302 Principles of Mathematics II. (3-0) Probability, statistics, calculator and computer applications in mathematics, including historical, philosophical and cultural significance. Prerequisite: A grade of at least C in Mathematics 2311.

4304 Math Understandings. (3-0) Basic concepts underlying algebra, geometry, trigonometry, and calculus taught from an advanced standpoint, including historical, philosophical, and cultural significance. Unless specified, this course may not be counted for major or minor credit in mathematics. Must be taken before student teaching. Prerequisites: A grade of at least C in Mathematics 2472 and 3315.

4305 Probability and Statistics. (3-0) A course covering sample spaces, probability of events, binomial and multinomial distributions, random variables, normal approximations, statistical inference, and applications. Prerequisite: Mathematics 3305 with a grade of at least C.

4306 Fourier Series and Boundary Value Problems. (3-0) Advanced solution methods for differential equations; partial differential equations; series approximations, Fourier series; boundary value problems typical of scientific applications. Prerequisite: A grade of at least C in Mathematics 3323.

4307 Modern Algebra. (3-0) A course covering elementary set theory, structures, functions, and concepts of modern algebra. Prerequisite: A grade of at least a C in either Mathematics 3325 or Mathematics 3377.

4311 Introduction to the History of Mathematics. (3-0) A survey of the development of major mathematical topics, including geometry, algebra, calculus, and advanced mathematics. Philosophical and cultural aspects will be integrated with the structure, theorems, and applications of mathematics. Prerequisite: A grade of at least C in Math 3315 and a grade of at least C in either Math 2331 or Math 2472.

4315 Advanced Calculus II. (3-0) A continuation of Mathematics 3380. Topics include integration, series and sequences of functions and associated topics. Prerequisite: A grade of at least a C in Mathematics 3380.

4330 General Topology. (3-0) Topics include introductory treatment of convergence, continuity, compactness, connectedness and fixed points in topological spaces with special emphasis on metric spaces. Prerequisite: A grade of at least a C in either Mathematics 3330 or 3380.

*4336 Topics in Applied Mathematics. (3-0) Selected topics including Laplace transforms, complex variables, advanced calculus for applications, calculus of variations, integral equations, intermediate differential equations, vector analysis, etc. Prerequisite: Consent of instructor.

4338 Mathematical Modeling. (3-0) A course covering techniques used in the building and analysis of mathematical models. Examples will be taken from a variety of fields including the physical sciences, engineering and economics. See Computer Science 4338. Prerequisite: A grade of C or better in Mathematics 2472.

(WI) 4382 The Literature and Modern History of Mathematics and Its Applications. (3-0) This course will focus on mathematical articles in recent journals. The articles will be re-written so that the proofs and comments are more easily understood by the casual reader. This embellishment of journal articles will take place in class with the class participating, in groups for outside work and as individual assignments. Prerequisites: A grade of at least C in two of the three mathematics courses: 3380, 4307, 4330.

For course descriptions, and further information about available graduate offerings, please consult the Graduate Bulletin.

*May be repeated once for credit with a different topic.