General Division/Undergraduate Catalog

Department of Mathematics and Computer Science

Chair (Interim): D. Turner Hogan, Ph.D., Associate Professor

Location: CFO 809

Telephone: (817) 898-2166

Telefax: (817) 898-2179

Please note: TWU's area code (817) will change to 940 on May 25, 1997.

E-Mail: mathcs@TWU.EDU

Faculty: Professors J. Christy, B. Fincher, W. Zimmermann, F. Thompson; Associate Professors: M. Cherri, D. Edwards, D. Hogan, L. Kennedy, D. Marshall; Assistant Professors S. M. Demunyck, W. Mallam; Senior Lecturer: C. Banks; Lecturer: E. Hays; Assistant Visiting Professor: H. Tran.

The Department of Mathematics and Computer Science offers programs leading to the degrees of Bachelor of Arts, Bachelor of Science, Master of Arts, Master of Science, and Master of Science in Mathematics Teaching.

The Baccalaureate programs in mathematics and in computer science are intended to prepare the student for further work in mathematics or computer science at the graduate level, for teaching at the secondary school level, for employment as a mathematician or as a computer scientist, or for employment in a mathematics-related or computer science-related area in business, industry, or government.

Majors are offered in mathematics and computer science. Minors in these two disciplines are also offered.

The Department of Mathematics and Computer Science has long been an important part of the mission of Texas Woman's University to educate women to hold positions of respect and responsibility in all parts of society. This heritage is continuing today in the disciplines of mathematics and computer science.

A student who plans to major or minor in mathematics or major in computer science and who has not had in high school a course equivalent to elementary analysis should take MATH 1303 and 1313 before enrolling in MATH 2013. Students who have had advanced courses in high school may earn advanced placement credit for MATH 2013 and 2023.

Other mathematic courses, MATH 1013 and 1023, MATH 1703 and 1713, MATH 1603 and 1613, are designed to foster an appreciation of mathematics and its relation to other fields. These courses may be elected by those students who do not intend to pursue the subject further.

Small advanced classes and individual instruction on projects of special interest provide students of mathematics and computer science special benefits. In addition, special programs are tailored to meet individual student needs.

Students in mathematics and computer science classes have access to micro-computers, e-mail, the Internet, and the World Wide Web through the University computing facilities located in Stoddard Hall and the Blagg-Huey Library. Additionally, the department maintains a digital logic lab as a lab of networked PC's in Stoddard Hall exclusively for mathematics/computer science students. A state-of-the-art mathematics laboratory, the Beverly Washington-Wedgeworth Mathematics Laboratory, opened in Fall, 1996. This facility, provided by a donation from Texas Instruments, consists of 24 networked student computer workstations, an instructor station, network printer, sound system, ceiling mounted projection system, VCR, document /video camera, and the latest in mathematics software.

Admission Requirements

Please see admission section of this catalog.

Special Requirements

Only courses in which a grade of C or better is received may be counted as part of a mathematics or computer science major or minor. Further, in each mathematics or computer science course in a degree, a student must receive a grade of C or better.

From the catalog at http://www.twu.edu/catalogs/ - unofficial -

Undergraduate Degrees

B.A. and B.S. in Mathematics

B.S. in Computer Science

Certification

The Department of Mathematics and Computer Science offers teacher certification in mathematics and computer science at the elementary and secondary levels, Option I and Option II and an Information Processing Technology Endorsement. See the College of Education and Human Ecology section of this catalog for options. Students should contact the chair of the Department for details.

Bachelor of Arts Degree in Mathematics

Freshman Year

ENG 1013 3

HIST 1013 3

MATH 2013 (core) 3

Foreign Language 3

Fine Arts 3

15

ENG 1023 3

HIST 1023 3

MATH 2023 (core) 3

Foreign Language 3

Computer Science 3

15

Sophomore Year

Sophomore English 3

GOV 2013 3

MATH 3103 3

Foreign Language 3

Laboratory Science 3-4

15-16

Junior Year

MATH 3053 3

Mathematics Elective 3

Electives 6

Fine Arts 3

Multicultural Studies 3

18

Senior Year

Mathematics Electives 6

Minor 9

15

The 21 hours of mathematics electives are to be selected with the advanced approval of an advisor from the Department of Mathematics and Computer Science. At least 9 hours of these 21 must be advanced. MATH 1013, 1023, 1303, and 1313 may not be counted toward the mathematics major. If MATH 2013 or MATH 2023 are used as mathematics credit for the core curriculum, these hours must be replaced in the mathematics major.

The language requirement may be satisfied with 6 hours in each of two languages or 12 hours in one language.

The student must complete at least two interdisciplinary courses to satisfy the core curriculum requirement. This requirement may be satisfied in courses selected for the above plan.

Bachelor of Science Degree in Mathematics

Freshman Year

NG 1023 3

HIST 1023 3

MATH 2023 (core) 3

Computer Science 3

Electives 6

18

Sophomore Year

Sophomore English 3

GOV 2013 3

MATH 3103 3

PHYS 2153 3

PHYS 2151 1

Electives 3

16

Sophomore English 3

GOV 2023 3

Mathematics Elective 3

Foreign Language 3

Laboratory Science 3-4

15-16

MATH 3063 3

Mathematics Elective 3

Electives 6

Philosophy 3

Women's Studies 3

18

Mathematics Electives 6

Minor 9

15

ENG 1013 3

HIST 1013 3

MATH 2013 (core) 3

Fine Arts 3

Social Sciences 3

15

E
Sophomore English 3

GOV 2023 3

Mathematics Elective 3

PHYS 2163 3

PHYS 2161 1

Elective 3

16

Junior Year

MATH 3053 3

Mathematics Elective 3

Multicultural Studies 3

Select from ** below 6

15

Senior Year

Mathematics Electives 6

Minor 9

15

**Environmental Issues, Foreign Language, Health and Fitness, Philosophy, Social Sciences, Fine Arts

The 21 hours of mathematics electives are to be selected with the advanced approval of an advisor from the Department of Mathematics and Computer Science. At least 9 hours of these 21 must be advanced. MATH 1013, 1023, 1303, and 1313 may not be counted toward the mathematics major.

The student must complete at least two interdisciplinary courses to satisfy the core curriculum requirement. This requirement may be satisfied in courses selected for the above plan.

Dual Degree (3+ 2) Program in Engineering

A Special Opportunity for Women

The dual degree program in mathematics and engineering combines the strengths of Texas Woman's University and the University of Texas at Dallas (UTD) or Texas A&M University at College Station, (TAMU) to enable women students to earn two degrees simultaneously while preparing for a professional career in engineering.

Undergraduate students attend TWU for three years as mathematics majors in the Department of Mathematics and Computer Science, then continue their education at the Erik Jonsson School of Engineering and Computer Science at UTD or the Dwight Look School of Engineering at TAMU for two additional years. After completion of the program, students will receive the Bachelor of Science degree in mathematics from TWU and the Bachelor of Science degree in engineering.

At TWU, students will take a broad range of courses in mathematics, humanities, social and natural sciences as well as the basic introductory courses needed to enter studies in engineering. At UTD or TAMU, they will be engaged in technical studies in engineering.

MATH 3063 3

Mathematics Elective 3

Women's Studies 3

Electives 6

15

Mathematics Electives 6

Minor 9

15

The minor for the B.S. degree in mathematics at TWU can be computer science. This minor requires 18 hours of coursework, six of which must be advanced and is described later in this material. Other disciplines may be selected for this minor.

For information about cooperative engineering programs, contact the department of Mathematics and Computer Science at TWU, P.O. BOX 425886, Denton TX 76204, phone 817/898-2166.

Bachelor of Science Degree in Computer Science

Freshman Year

ENG 1013 3

HIST 1013 3

MATH 2013 (core) 3

CSCI 1413 3

Social Sciences 3

15

Sophomore Year

Sophomore English 3

GOV 2013 3

CSCI 2463 3

MATH 3013 3

Laboratory Science 3-4

15-16

Junior Year

CSCI 3413 3

CSCI 3443 3

Minor 6

Multicultural Studies 3

15

Senior Year

Computer Science Electives 6

Electives 3

Fine Arts 3

Select from ** below 6

18

**Environmental Issues, Foreign Language, Health and Fitness, Philosophy, Social Sciences, Fine Arts

The 15 hours of computer science electives are to be selected with advanced approval of a faculty advisor from the Department of Mathematics and Computer Science. At least 9 hours of these 15 must be advanced. CSCI 1403 may not be counted on computer science major or minor.

The student must complete at least two interdisciplinary courses to satisfy the core curriculum requirement. This requirement may be satisfied in courses selected for the above plan.

ENG 1023 3

HIST 1023 3

MATH 2023 (core) 3

CSCI 1423 3

Elective 3

15

Sophomore English............................ 3

GOV 2023 3

CSCI 2443 3

Minor 3

Laboratory Science 3-4

15-16

CSCI 3463 3

Computer Science Elective 3

Minor 6

Women's Studies 3

15

Computer Science Electives 6

Electives 7

Minor 3

16

Mathematics Minor, Required Courses

MATH 2013. Introductory Calculus I

MATH 2023. Introductory Calculus II

Select 12 additional hours of mathematics courses, at least six of which must be advanced. The minor program must be approved by a departmental advisor.

Computer Science Minor, Required Courses

CSCI 1413. Introduction to Computer Programming I

CSCI 1423. Introduction to Computer Programming II

CSCI 2463. Data Structures

Select 9 additional hours of computer science courses, at least six of which must be advanced. The minor program must be approved by a Departmental Advisor. CSCI 1403 may not be counted toward a computer science major or minor.

Bachelor of Arts Degree in Mathematics

Providing Secondary Teacher Certification in Mathematics

Freshman Year

ENG 1013 3

HIST 1013 3

MATH 2013 (core) 3

Foreign Language 3

Fine Arts 3

15

Sophomore Year

Sophomore English 3

GOV 2013 3

MATH 3103 3

Foreign Language 3

Laboratory Science 3-4

Minor 3

18-19

Junior Year

MATH 3054 3

Mathematics Elective 3

Minor 6

ERDB 3133 3

Multicultural Studies 3

18

ENG 1023 3

HIST 1023 3

MATH 2023 (core) 3

Foreign Language 3

Computer Science 3

SPCH 1013 3

18

Sophomore English 3

GOV 2023 3

Mathematics Elective 3

Foreign Language 3

Laboratory Science 3-4

Minor 3

18-19

MATH 3063 3

Mathematics Elective 3

Minor 3

ELDR 3133 3

ELDR 3513 3

Philosophy 3

18

Senior Year

Mathematics Electives 9

Minor 3

ERDB 3153 3

ERDB 3463 or ERDB 4463 3

18

The 21 hours of mathematics electives are to be selected with the advanced approval of an advisor from the Department of Mathematics and Computer Science. At least 9 hours of these 21 must be advanced. MATH 1013, 1023, 1303, and 1313 may not be counted in the mathematics major. Certification in mathematics, Option I and Option II, is available at the secondary level. Option I requires at least 36 hours in one teaching field. Option II requires at least 24 hours in each of two teaching fields. Option I is suggested in the above plan.

Bachelor of Science Degree in Mathematics Providing

Secondary Teacher Certification in Mathematics

Freshman Year

ENG 1013 3

HIST 1013 3

MATH 2013 (core) 3

Fine Arts 3

Social Sciences 3

15

Sophomore Year

sh 3

GOV 2023 3

Mathematics Elective 3

PHYS 2163 3

PHYS 2161 1

SPCH 1013 3

16

Junior Year

18

MATH 3063 3

Mathematics Elective 3

Minor 3

ERDB 3153 3

ELDR 3133 3

Women's Studies 3

18

Senior Year

Mathematics Electives 6

Select from ** below 6

ERDB 3463 or ERDB 4463 3

15

**Environmental Issues, Foreign Languages, Health and Fitness, Philosophy, Social Sciences, Fine Arts.

Mathematics Elective 3

ERDB 4123/ERDB 4126 3-6

Women's Studies 3

9-12

MATH 3053 3

Mathematics Elective 3

Minor 3

ERDB 3133 3

ELDR 3513 3

Multicultural Studies 3

Mathematics Elective 6

Minor 6

ERDB 4123 or ERDB 4126 3-6

15-18

ENG 1023 3

HIST 1023 3

MATH 2023 (core) 3

Computer Science 3

Minor 3

15

Sophomore English 3

GOV 2013 3

MATH 3103 3

PHYS 2153 3

PHYS 2151 1

Minor 3

16

Sophomore Engli

The 21 hours of mathematics electives are to be selected with the advanced approval of an advisor from the Department of Mathematics and Computer Science. At least 9 hours of these 21 must be advanced. MATH 1013, 1023, 1303, and 1313 may not be counted toward the mathematics major.

Certification in mathematics, Option I and Option II, is available at the secondary level. Option I requires at least 36 hours in one teaching field. Option II requires at least 24 hours in each of the two teaching fields. Option I is suggested in the above plan.

The student must complete at least two interdisciplinary courses to satisfy the core curriculum requirement. This requirement may be satisfied in courses selected for the above plan.

Bachelor of Science Degree in Computer Science Providing Secondary Teacher Certification in Computer Science

Freshman Year

ENG 1013 3

HIST 1013 3

MATH 2013 (core) 3 HIST 1023 3

CSCI 1413 3
Sophomore Year

Sophomore English 3

GOV 2013 3

CSCI 2463 3

CSCI 2423 3

MATH 3013 3

Laboratory Science 3-4

18-19

Junior Year

CSCI 3413 3

CSCI 3443 3

ERDB 3133 6

Minor 6

18

Senior Year

Computer Science Elective 6

ELDR 3513 3

ERDB 3153 3

Select from ** below 6

18

**Environmental Issues, Foreign Language, Health and Fitness, Philosophy, Social Sciences, Fine Arts.

ENG 1023 3

MATH 2023 (core) 3

Social Sciences 3 CSCI 1423 3

SPCH 1013 3

15

Sophomore English 3

GOV 2023 3

CSCI 2443 3

Fine Arts 3

Multicultural Studies 3

Laboratory Science 3-4

18-19

CSCI 3463 3

ERDB 4463 or ERDB 3463 3

ELDR 3133 3

Minor 9

18

Computer Science Electives 6

ERDB 4823 or ERDB 4226 3-6

Women's Studies 3

Minor 3

15-18

The 12 hours of computer science electives are to be selected with the advanced approval of an advisor from the Department of Mathematics and Computer Science. At least 9 hours of these 12 must be advanced. CSCI 1403 may not be counted on the computer science major or minor.

Certification in computer science, Option I and Option II, is available at the secondary level. Option I requires at least 36 hours in one teaching field. Option II requires at least 24 hours in each of the two teaching fields. Option I is suggested in the above plan. The Information Processing Technology Endorsement, Level I requires at least 9 hours of computer science coursework; Level II requires at least 15 hours of computer science coursework.

The student must complete at least two interdisciplinary courses to satisfy the core curriculum requirement. This requirement may be satisfied in courses selected for the above plan.

From the catalog at http://www.twu.edu/catalogs/ - unofficial -

Computer Science Undergraduate Courses

CSCI 1403. A First Course in Computing. (COSC 1310) Computer systems and their applications to various disciplines; basic computer structure, elementary flowcharting, and programming; computer languages; current applications of computers. Cannot be counted toward a major or minor in computer science. Three lecture hours a week. Credit: Three hours.

CSCI 1413. Introduction to Computer Programming I. Structure and programming of computers for numerical and non-numerical problem solving; development of programming skills and application to various disciplines. Introduction to object-oriented programming concepts. Three lecture hours a week. Credit: Three hours.

CSCI 1423. Introduction to Computer Programming II. (COSC 1302) Studies in introductory computer programming, object oriented programming techniques, string processing, interval searching and sorting techniques. Prerequisite: CSCI 1413. Three lecture hours a week. Credit: Three hours.

CSCI 2433. Microcomputer Applications. Introduction to operating systems and software tools of a microcomputer. Learning how to use various software packages, such as: word processing, presentation software, spread sheets, graphics and databases. Prerequisites: CSCI 1403 or permission of instructor. Three lecture hours a week. Credit: Three hours.

CSCI 2443. Introduction to Assembly Language. (COSC 1319) Studies in computer structures, addressing techniques, assembly language, MACRO techniques, and assembler construction. Prerequisite: CSCI 1423. Three lecture hours a week. Credit: Three hours.

CSCI 2463. Data Structures. (COSC 2315) Introduction to representation of information; data objects and structures; string processing; searching and sorting; hash coding; lists, trees, and manipulation of data structures. Prerequisite: CSCI 1423. Three lecture hours a week. Credit: Three hours.

CSCI 2493. Programming in Visual C++. (COSC 1320) Fundamentals for programming in Visual C++. Addresses the syntax of Visual C++ language and general programming styles. Overview of Visual C++ includes flow, functions, I/O, data structures, pointers and files. Prerequisite: CSCI 1423. Three lecture hours a week. Credit: Three hours.

CSCI 3103. Advanced Presentation Graphics and Desktop Publishing. Advanced presentation software and desktop publishing; integrating applications/files/documents/with other applications and platforms; importing and exporting data; scanning input; and elementary networking. Prerequisite; CSCI 2433 or equivalent. Three lecture hours a week. Credit: Three hours.

CSCI 3413. Systems Analysis. Modeling and simulation of systems in organizations, systems flow charting, data dictionaries and software engineering concepts. Prerequisite: CSCI 2463. Three lecture hours a week. Credit: Three hours.

CSCI 3423. Data Base Management. Organization and retrieval techniques for computer based information systems, techniques of design, implementation and utilization of data base management systems. Prerequisites: CSCI 2463 or permission of instructor. Three lecture hours a week. Credit: Three hours.

CSCI 3443. Introduction to Digital Logic. Studies in basic digital logic design; Boolean algebra, number representation and arithmetic, introductory computer architecture. Prerequisite: CSCI 1423. Three lecture hours a week. Credit: Three hours.

CSCI 3453. Introduction to Computer Organization and Architecture. Studies in computer hardware architectural structures such as interrupts, memory management, and stacks; software structures for design of monitors, kernels, nuclei, networks of operating system modules. Prerequisite: CSCI 3443. Three lecture hours a week. Credit: Three hours.

CSCI 3463. Organization of Programming Languages. Studies in language definition structure, data types, control structures, run-time consideration, interpretative languages, lexical analysis and parsing. Prerequisite: CSCI 2443, 2463. Three lecture hours a week. Credit: Three hours.

CSCI 3473. Introduction to File Processing. Introduction to concepts and techniques of structuring data on computer storage devices. Prerequisite: CSCI 2463. Three lecture hours a week. Credit: Three hours.

CSCI 3493. Systems Programming. Introduction to the design of systems software. Current systems software technology, language translators, linkers and loaders, macro techniques and file systems. Prerequisites: CSCI 2443, 2463. Three lecture hours a week. Credit: Three hours.

CSCI 4303. Advanced Modeling and Visualization with Spreadsheets. Introducing the advanced functions of a spreadsheet such as macros, "what if," import/export data, etc.; study the effectiveness of these features in processing large volumes of data; exploring different techniques to visualize data. Prerequisite: CSCI 1403, CSCI 2433 or equivalent. Three lecture hours a week. Credit: Three hours.

CSCI 4313. Networking and Data Communication. Introduction to hardware, software design and protocols used in networking and data communication. Depending on emphasis, topics will be selected from: architectures, OSI Reference Models, transmission media, software design, LANs, performance modeling and other related subjects. Prerequisite: 15 hours computer science. Three lecture hours a week. Credit: Three hours.

CSCI 4403. Introduction to Operating Systems. Concepts and principles of Computer Operating Systems including systems management, storage and scheduling, resource management, deadlock and concurrency issues,

and a detailed study of at least two operating systems, such as UNIX and VMS. Prerequisites: CSCI 2443, CSCI 2463. Three lecture hours a week. Credit: Three hours.

CSCI 4523. Advanced Data Design. Advanced relational data base design and implementation, including reporting, picture objects, macros and programming. Emphasis on logical organization of data and table design. Discussion of advanced issues important in the development and design in client server, distributed, object oriented data bases and security. Prerequisite: CSCI 3423. Three lecture hours a week. Credit: Three hours.

CSCI 4913. Independent Study. Individual study in computer science. Credit: Three hours.

CSCI 4951, 4953, 4956. Cooperative Education.

Mathematics Undergraduate Courses

MATH 1013. Introduction to Mathematics. For liberal arts students; topics from set theory, logic, mathematical systems, number theory, and algebra. Prerequisite: High School Algebra and Geometry. Three lecture hours a week. Credit: Three hours. CORE

MATH 1023. Introduction to Mathematics. Topics from geometry, probability, consumer mathematics, and statistics. Prerequisite: High School Algebra and Geometry. Three lecture hours a week. Credit: Three hours. CORE

MATH 1113. Fundamentals of Algebra. May not be used to satisfy any mathematics requirement. May not be used for credit on any degree. Basic algebraic operations, linear equations and inequalities, polynomials, rational expressions, factoring, exponents, and radicals, quadratic equations. Prerequisite: Consent of department. Three lecture hours a week. Credit: Three hours.

MATH 1123. Transition to College Mathematics. May not be used to satisfy any mathematics requirement. May not be used for credit on any degree. Review or introduce operations involving rational numbers and decimals, exponents, linear equations in one and two variables, graphing, polynomial arithmetic and factoring, quadratic equations, linear inequalities in one and two variables, rational expressions, measurement geometry. Prerequisite: Consent of Department. Three lecture hours a week. Credit: Three hours.

MATH 1303. Elementary Analysis. (MATH 1314) College algebra with some attention to rigor; elements of set theory; exponential, and logarithmic functions. Prerequisite: High School Algebra and Geometry and appropriate score on placement exam. Three lecture hours a week. Credit: Three hours. CORE

MATH 1313. Elementary Analysis. (MATH 1316) Algebraic, exponential, logarithmic and trigonometric functions; an introduction to matrix algebra; complex numbers, sequences, the binomial theorem. Prerequisite: MATH 1303 or equivalent. Three lecture hours a week. Credit: Three hours. CORE

MATH 1603. Fundamentals of Elementary Mathematics I. (MATH 1335) Set-theoretical approach to the development of the real number system; fundamental operations of arithmetic; relations and functions. Can be counted as satisfying the mathematics requirement by elementary education, special education, deaf education, and child development majors only. Prerequisite: High School Algebra and Geometry. Three lecture hours a week. Credit: Three hours. CORE

MATH 1613. Fundamentals of Elementary Mathematics II. (MATH 1336) Selected topics in measurement, geometry, probability and statistics. Can be counted as satisfying the mathematics requirement by elementary education, special education, deaf education, and child development majors only. Prerequisite: High School Algebra and Geometry. Three lecture hours a week. Credit: Three hours. CORE

MATH 1703. Elementary Statistics. (MATH 1342) Frequency distributions; graphical representation, measures of central tendency and dispersion; normal curve; hypothesis testing/confidence intervals. Three lecture hours a week. Credit: Three hours. CORE

MATH 1713. Elementary Statistics II. Hypothesis testing, confidence intervals, nonparametric statistics, regression and correlation, time series, experimental design. Prerequisite: MATH 1703. Three lecture hours a week. Credit: Three hours. CORE

MATH 2013. Introductory Calculus I. (MATH 2313) Analytic geometry; limits and continuity; differentiation of algebraic functions; antiderivative; the definite integral. Prerequisite: MATH 1303 and 1313 or equivalent. Three lecture hours a week. Credit: Three hours. CORE

MATH 2023. Introductory Calculus II. (MATH 2314) Differentiation of transcendental functions; advanced formal integration; applications of the calculus. Prerequisite: MATH 2013. Three lecture hours a week. Credit: Three hours. CORE

MATH 2123. Finite Mathematics. (MATH 1324) Introduction to linear programming, matrices and linear systems, probability, game theory. Prerequisite: High school alegebra or the equivalent or permission of the instructor. Three lecture hours a week. Credit: Three hours.

MATH 2203. Business Analysis I. (MATH 1321) Algebraic functions, logarithmic functions, exponential functions, matrices and linear systems, linear programming. Prerequisite: High School Algebra and Geometry. Three lecture hours a week. Credit: Three hours.

MATH 2213. Business Analysis II. Differential and integral calculus of algebraic, logarithmic and exponential functions and applications of each to business. Prerequisite: MATH 2203. Three lecture hours a week. Credit: Three hours.

MATH 3003. A Survey of Geometry. Historical origins and elements of modern geometry. A preview of elementary transformations and dissection theory, projective geometry and Euclidean and non-Euclidean geometry. Prerequisite: MATH 2013. Three lecture hours a week. Credit: Three hours.

MATH 3013. Discrete Mathematics. Sets, functions, Boolean algebra, logic, number theory and representations, graph theory, algorithms, and computability. Prerequisite: MATH 2013 or Permission of Instructor. Three lecture hours a week. Credit: Three hours.

MATH 3033. Modern Geometry. Classical Euclidean geometry from an advanced viewpoint; an introduction to non-Euclidean geometries and projective geometry. Prerequisite: MATH 2013 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

MATH 3043. Symbolic Logic. Truth tables, symbolization of statements and relations; formal deductive proofs of validity; rules of conditional and indirect proofs; deductive systems. Prerequisite: MATH 2013 or permission of instructor. Three lecture hours a week. Credit: Three hours.

MATH 3053. Algebraic Structures. Introduction to sets, relations, mappings, rings, integral domains, fields, groups. Prerequisite: MATH 2013 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

MATH 3063. Linear Algebra. Linear equations and matrices; vector spaces; linear mappings; determinants. Prerequisite: MATH 2013 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

MATH 3073. Matrix Methods. Matrix operations, determinants, inverse of a matrix, solution of linear systems, eigenvalues and eigenvectors, matrix calculus. Prerequisite: MATH 2013 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

MATH 3083. Elementary Number Theory. Diophantine equations; con-gruences; divisibility properties of integers; prime numbers and factorization theorems; multiplicative functions. Prerequisite: MATH 2013 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

MATH 3103. Intermediate Calculus I. Plane vectors; parametric equations; polar coordinates; improper integrals; integral applications; continuity; the Mean Value Theorem; series convergence; Taylor's Theorem. Prerequisite: MATH 2023. Three lecture hours a week. Credit: Three hours.

MATH 3113. Intermediate Calculus II. Solid analytic geometry; space vectors; curvilinear coordinates; functions of several variables; partial derivatives; directional derivatives; multiple integrals; applications. Prerequisite: MATH 3103. Three lecture hours a week. Credit: Three hours.

MATH 3123. Differential Equations. Solutions of differential equations of the first order and applications; linear differential equations with applications; solution by power series and numerical methods; systems of differential equations; introduction to partial differential equations. Prerequisite: MATH 2023. Three lecture hours a week. Credit: Three hours.

MATH 4063. Foundations of Mathematics. The axiomatic method; theory of sets; cardinal and ordinal numbers; philosophies of mathematics. Prerequisite: MATH 2013 or permission of the instructor. Three lecture hours a week. Credit: Three hours.

MATH 4903. Selected Topics. Variable content in mathematics. Three lecture hours a week. Credit: Three hours.

MATH 4911. Independent Study. Individual study in mathematics. Credit: One hour.

MATH 4913. Independent Study. Individual study in mathematics. Credit: Three hours.

MATH 4953, 4956. Cooperative Education.

Graduate Courses

CSCI 5613. Computers in Education

CSCI 5703. Computer Science I

CSCI 5713. Computer Science II

* CSCI 5753. Computer Graphics

CSCI 5783. Computer-Assisted Instructional Systems

CSCI 5793. Statistical Computer Packages I

* CSCI 5823. Models of Human Memory

CSCI 5843. Microcomputer Applications

CSCI 5893. Statistical Computer Packages II

CSCI 5911. Individual Study

CSCI 5913. Individual Study

CSCI 5921. Statistical Analysis with Computers

CSCI 5953. Cooperative Education

CSCI 5956. Cooperative Education

MATH 5423. History of Mathematics

MATH 5453. Modern Geometry

MATH 5513. Matrix Algebra

MATH 5523. Introduction to Number Theory

MATH 5543. Symbolic Logic

MATH 5563. Logic, Sets and Real Numbers

MATH 5573. Statistical Methods

** MATH 5763. Methods of Numerical Computation

** MATH 5833. Computer-Aided Modeling

MATH 5903. Special Topics

MATH 5913. Individual Study

MATH 5953. Cooperative Education

MATH 5956. Cooperative Education

MATH 5973. Professional Paper

MATH 5983. Thesis

MATH 5993. Thesis


* May be used as MATH credit.

** May be used as CSCI credit.