The Bachelor of Science

The degree of Bachelor of Science, with a major in mathematics, requires successful completion of 128 semester hours, including (1) the Program of

General Studies which must include six hours of one foreign language; (2) one of the mathematics programs listed below; (3) a minor (where required); and (4) a program of electives.

Majors in Mathematics

Comprehensive Mathematics—51-56 hours*

MATH 103, 104, 201, 220, 250, 251, 252, 303, 307, 309, 310, 320, 451; six other hours from 202 and above excluding 305, 414, 490 and 491; nine other hours selected from 403, 404, 452, 460, 470, and, with consent of chairman, 420. Recommended: eight hours of physics; six other hours of computer programming.

(Continued in next column.)

Computer Science/ Mathematics—59-64 hours*

MATH 103, 104, 201, 202, 215, 220, 240, 250, 251, 252, 271, 307, 320, 355, 356, 361, 362, 410, 445, 460; PHYS 319. Recommended: six hours of statistics. (Note: PHYS 101 and 102 or consent of instructor is required for PHYS 319.) Mathematics—36-41 hours*

MATH 103, 104, 201, 250, 251, 252, 303, 307, 309, 310, 320, 451; three hours from 403, 404, 452, 460, 470, and, with consent of chairman, 420. Recommended: eight hours of physics and three additional hours of computer programming. (Note: a minor is required—computer science and statistics are acceptable options.)

Minors and Areas of Emphasis in Mathematics

Minor in Computer Science—18 hours

MATH 201, 202, 211, 215, 355; three additional hours of mathematics above 104, excluding 305, 414, 490 and 491. Not available for Computer Information Systems or Computer Science/Mathematics majors.

Minor in Mathematics—21 - 26 hours*

MATH 103, 104, 201, 250, 251, 252, 307; three hours from 290 and above, excluding 305, 414, 490 and 491. Not available for Mathematics or Comprehensive Mathematics majors.

Minor in Statistics—18 hours

MATH 105, 303, 320, 404, either 451 or 452, and three hours of computer programming.

Area of Emphasis in Pre-Actuarial Science—24-29 hours*

MATH 103, 104, 105, 250, 251, 252, 303, 320, 404.

Note: The student is prepared for preliminary actuarial examinations. (This concentration is included within a mathematics major–statistics minor program.)

The Bachelor of Science in Computer Information Systems

The Bachelor of Science in Computer Information Systems requires the successful completion of 128 semester hours, including the Program of General Studies and the following courses: ACCT 207; MGT 305; MKT 305; MATH 103, 104, 105, 201, 202, 211, 212, 215, 220, 250, 271, 356, 361, 430, 490, 491. Recommended: MATH 240, 355, 410, 445.

The Bachelor of Science in Education

The degree of Bachelor of Science in Education, with certification to teach mathematics, requires successful completion of 128 semester hours, including (1) the Program of General Studies; (2) the Professional Semester for the certificate chosen (page 55); and (3) the requirements associated with one of the following certificates:

Certificate for Grades 5-9

Students may combine a middle school program in Mathematics 5-9 (page 64-65) with (1) the Multi-Subjects Program (page 60); or (2) a specialization for grades 9-12 (pages 72-73); or (3) a specialization for grades 5-12 (pages 62-74).

Certificate for Grades 5-12 (page 65)

Students may complete a single field in Mathematics 5-12; however, it is highly recommended that this field be combined with at least one other field.

*Note: For students who score 28 or above on the mathematics section of the Enhanced ACT test, MATH 103 and/or 104 can be waived as a requirement for any program offered by the Department of Mathematics.

Mathematics Courses (MATH)

090 Basic Mathematics. (3)

A beginning course in mathematics focusing on operations with whole numbers, fractions, decimals, proportions, percents and the real number system; solving equations and problems; and basic geometry. Grade of C or better required. (Non-graduation credit) (F,S)

091 Basic Algebra. (3)

Prerequisite: MATH 090, if indicated by diagnostic testing.

An introduction to basic algebra skills, including solving equations, systems of equations, and equalities; fractional expressions; exponents, powers, and roots; quadratic equations and functions; and geometry skills. Grade of C or better required. (Non-graduation credit) (F,S)

101 General Mathematics. (3)

Prerequisite: Eligible to take a mathematics course for credit.

Selected topics from problem solving, set theory, and algebra. (F,S)

103 College Algebra. (3)

Prerequisite: Eligible to take a mathematics course for credit.

Polynomial, rational, exponential, and logarithmic functions. Graphing functions, operations with matrices, sequences, series, permutations and combinations included. (F,S)

104 College Trigonometry. (2)

Prerequisite: MATH 103 or equivalent proficiency.

Circular functions, trigonometric identities, applications to triangle, complex numbers. (F,S)

105 Elementary Statistics. (3)

Prerequisite: MATH 103.

Designed for non-mathematics majors. Includes descriptive statistics, introduction to sampling statistics, hypothesis testing, correlation and regression, analysis of variance, and related topics. (F,S)

110 Mathematics for Elementary School Teachers. (3)

Prerequisite: MATH 101 or equivalent proficiency.

This course is designed for prospective early and middle childhood teachers and includes the study of sets, relations, numeration systems, elementary theory, and the structure of the real number system. A grade of C or better is necessary for teacher certification programs requiring this course. (F,S)

200 Introductory Geometry. (3)

Prerequisite: MATH 101 or equivalent proficiency.

Includes fundamental concepts of elementary geometry, points, lines, space, separation, simple closed curves. (S)

201 Introduction to Computer Programming I. (3)

Prerequisite: Eligible to take a mathematics course for credit. MATH 103 recommended.

Fundamental characteristics and properties of computer languages, algorithmic methods of solving problems on the computer. Pascal programming language is taught and used. (F, S)

202 Introduction to Computer Programming II. (3)

Prerequisite: MATH 201 with a grade of C or better.

Continuation of MATH 201. Grade of C or better required. (F, S)

211 Cobol I. (2)

Prerequisite: MATH 201 with a grade of C or better.

Basic characteristics and properties of computers and applications of computers to business. (F)

212 Cobol II. (2)

Prerequisite: MATH 211.

Continuation of MATH 211. (S)

215 Assembly Language Programming. (3)

Prerequisite: MATH 201 with a grade of C or better.

An introduction to machine language and assembly language. Symbolic coding, addressing techniques, and operation of assemblers are included. (F)

220 Discrete Mathematics. (3)

Prerequisite: MATH 103 and 201.

Topics include the study of functions and relations, graphs and trees, combinatorics, sets, analysis of algorithms, and formal logic. (S)

240 Programming in C++. (3)

Prerequisite: MATH 202.

Advanced programming techniques using C++ object-oriented programming language. Topics include the underlying C language, the use of objects (abstract and concrete classes, class interfaces, and class templates), dynamic storage structures, and an introduction to software engineering frameworks using the C++ language. (S)

250 Calculus with Analytic Geometry I. (4)

Prerequisites: MATH 103 and 104 or equivalent proficiency.

An introduction to differential calculus, including the necessary techniques of inequalities, sets, relations, and analytic geometry. Limits, continuity, and differentiation of algebraic functions. Some applications of differentiation. (F,S)

251 Calculus with Analytic Geometry II. (4)

Prerequisite: MATH 250.

A study of the definite and indefinite integrals, elements of analytic geometry to include: conic sections, polar coordinates, and vectors in two and three dimensions. (F,S)

252 Calculus with Analytic Geometry III. (4)

Prerequisite: MATH 251.

Techniques and applications of integration, vectors in three-dimensional analytic geometry. Elements of infinite series and multiple integration. Introduction to differential equations. (F,S)

260 Number Theory. (3)

Prerequisite: MATH 103 or consent of instructor.

Includes numeration systems, primes, divisibility, factorization, indeterminate problems, diophantine equations, and analysis of congruences. (F-03, F-05)

271 Computer Organization

and Hardware. (3)

Prerequisite: MATH 215.

Organization of computers in terms of input-output, memory, control and processing units. Representation of data, machine arithmetic instruction formats, basic mechanical and electronic characteristics of computers included, as well as storage devices, control and processing units and computer networks. (S)

275 Special Topics in Computer Science. (1-2)

A series of 1-credit, 5-week or 2-credit 10 week mini-courses in topics related to computer science.

290 History of Mathematics. (3)

Prerequisite: MATH 103 or consent of instructor.

A survey of the development of mathematics from prehistoric times to the present, with emphasis on the mathematical theories and techniques of each period, with their historical evolution. (F-04, F-06)

303 Mathematical Probability and Statistics I. (3)

Prerequisite: MATH 252.

Includes distributions of random variables, conditional probability, correlation coefficient, selected distributions, and interval estimation. (S)

305 Mathematics for the Public Schools. (3)

Prerequisite: MATH 110 or 220 and 60 semester hours previously earned.

A study of techniques appropriate for the teaching of mathematics. Student projects may be required. Grade of C (or better) necessary for teacher certification program when course is required. (F,S)

307 Introduction to Abstract Algebra. (3)

Prerequisite: MATH 103.

Includes symbolic logic, sets, structure of number systems, introduction to group theory, survey of algebra and proofs of theorems. (F)

309 College Geometry. (3)

Prerequisite: MATH 250.

A careful treatment of Euclidean and non-Euclidean geometries with emphasis on a transformational point of view. (S)

310 Abstract Algebra. (3)

Prerequisite: MATH 307.

A reasonably careful treatment of the structure of algebra, sets, relations, functions, with primary emphasis on group theory, rings, integral domains, and fields. (S)

320 Linear Algebra. (3)

Prerequisite: MATH 307.

Techniques in solving systems of linear equations employing the concepts of linear transformations, matrices and determinants. Other topics covered include vector spaces and eigenvalue theory. (S)

340 Mathematical Explorations. (1)

Prerequisite: MATH 250 or consent of instructor.

Interesting but non-routine problems will be considered, especially those solvable with simple methods. May be repeated up to four times. (F,S)

355 Data Structures. (3)

Prerequisite: MATH 202.

Implementation of abstract data types, stacks, linear and circular lists, queues, trees, hashing functions, memory management, sorting, and searching algorithms. (F)

356 Data Base Management. (3)

Prerequisite: MATH 202.

Design, evaluation, and use of data base systems. Topics include file organization and maintenance, information retrieval, query languages, security and the relational, hierarchical, and network approaches to data base management. (S)

361 Operating Systems. (3)

Prerequisites: MATH 202 and 271.

Introduction to software organization for program, storage, and process management. Topics include concurrent processes, virtual memory, placement, and scheduling algorithms. (F)

362 Programming Languages and Translators. (3)

Prerequisites: MATH 220, 307, and 355.

Formal definitions of programming languages, including specifics of syntax and semantics. Includes introduction to design, structure, and use of translators for programming languages, and related automata theory topics. (S)

403 Applied Mathematics. (3)

Prerequisites: MATH 252 and 320.

Topics include solving linear and nonlinear differential equations, systems of linear differential equations, fundamental existence theorems, numerical solutions, and the use of Laplace transforms. (S-02, S-04)

404 Mathematical Probability and Statistics II. (3)

Prerequisite: MATH 303.

Continuation of MATH 303. Includes introduction to limiting distributions, hypothesis testing, sufficient statistics, analysis of variance and non-parametric statistics. (F-03-05)

410 Software Engineering. (3)

Prerequisite: MATH 355.

An introduction to rigorous frameworks for the engineering of software systems. Several engineering frameworks are examined, with discussion on the offerings and limitations of each approach. A relatively modern and futuristic view of software engineering serves as the basis for developmental projects in the course. (F)

414 Special Methods in the Teaching of Mathematics. (2)

Prerequisites: MATH 305 and consent of instructor.

Observation, methods, and media appropriate to the teaching of mathematics. (F)

420 Special Topics. (3)

Prerequisite: Consent of instructor.

Extended study beyond introductory courses in number theory, abstract algebra, geometry, topology, complex variables, or other topics of interest.

430 Microcomputer System Design. (3)

Prerequisites: MATH 356. Corequisite: Math 361

Information and systems concepts, and management of information processing. (F)

445 Distributed Processing and Networks. (3)

Prerequisite: MATH 361.

Introduction to distributed processes, its advantages and disadvantages relative to microcomputerization of information processing. (S)

451 Advanced Calculus. (3)

Prerequisite: MATH 252. and 320.

Utilizes the concepts of limit points and cluster points in the study of functions of one variable. Properties of continuous and differential functions. Riemann and Darboux integration, and sequences and series of functions are discussed. (F)

452 Real Analysis. (3)

Prerequisite: MATH 252 and 320.

The study of metric and Banach spaces; integration theory including Riemann, Lebesgue, and Stieltjes integrals; and functional analysis. (S-03, S-05)

460 Numerical Analysis. (3)

Prerequisites: MATH 201, 252, and 320.

Solutions of problems by numerical methods. Includes error analysis, polynomial approximations, numerical integration, and differentiation. (F)

470 Independent Study. (1-6)

Prerequisites: More than 11 hours in mathematics courses numbered 300 or above.

Application must be made and approved by a committee before the student can register for independent study (page 29-30).

Students work on mathematical problems outside the scope of normal courses under minimal supervision. Student must give an oral presentation and a written summary of project. (F, S)

480 & 481 Honors Courses. (3,3)

Juniors and seniors who qualify for Honors Courses are offered the opportunity to study with individual members of the faculty. This is specialized study apart from conventional classroom work. Application must be made and approved by a committee before the student can register for the honors course (page 28). (F,S)

490 & 491 Practicum I & II. (3,3)

Prerequisites: Mathematics or Computer Information Systems major with junior or senior standing and consent of instructor.

Field experience in data processing environments. Provides opportunity to relate principles to practical applications in the computer and/or computer information-processing fields. Student must submit a written report. (F,S)

Department of Physical Sciences

The Department offers degree programs in chemistry, environmental geosciences, and medical technology, as well as coursework in chemistry, geology, physical science, and physics. Minor programs are available in chemistry, geology, and physics.

The mission of the Department is to provide course work and degree programs that enable the student to understand the fundamental principles of disciplines in the physical sciences, to develop an attitude of scientific objectivity and inquiry, and to acquire basic laboratory and/or field techniques and skills. The Department operates the Concord College observatory for optical astronomy, maintains numerous laboratories for teaching and research, and provides an opportunity to study geology in the field using the ideal setting of southern West Virginia and research-grade geophysical instrumentation.

The student must earn a grade average of 2.00 (C) in all courses required for any major, minor, or any certification option, including all other courses taken in the Department. Students considering a major or minor or teaching field in chemistry or a minor in physics should take the appropriate mathematics course in the first semester of the freshman year as indicated by the mathematics placement test.

Chemistry

Students choosing a major in chemistry may pursue either: (I) the Bachelor of Science degree with a chemistry (comprehensive) major, a program designed for the preparation of professional chemists; (II) the Bachelor of Science degree with a chemistry (pre-professional) major, a program designed for those who wish to pursue a health-related profession such as medicine or pharmacy; or (III) the Bachelor of Science in Education degree.

The Bachelor of Science – Chemistry

The degree of Bachelor of Science with a major in chemistry requires successful completion of 128 semester hours, including (1) the Program of General Studies which must include six hours of one foreign language, and (2) one of the two chemistry programs listed below.

Major in Chemistry (Comprehensive)

38 hours in chemistry—CHEM 101, 102, 103A, 210, 220, 331, 332, 351, 352, 401, 402, 413; six hours of 425A-F; 18-23 hours in mathematics—MATH 103*, 104*, 201, 250, 251, 252, and three hours from MATH 202, 320, 403; 10 hours in physics—PHYS 101, 102, and 319 or 320.

Major in Chemistry (Pre-Professional)

29 hours in chemistry—CHEM 101, 102, 103A, 210, 220, 331, 332, 351, 352, six hours of 425A-F; 7-12 hours in mathematics —MATH 103*, 104*, 201, 250; 10 hours in physics—PHYS 101, 102, and 319 or 320.

*These courses will be waived for those students establishing "equivalent proficiency" as determined by the Department of Mathematics.

Minor in Chemistry

24 hours in chemistry—CHEM 101, 102, 103A or 103B, 331, 351; ten hours of chemistry electives; 8 hours of physics—PHYS 101, 102.


	The Bachelor of Science The degree of Bachelor of Science, with a major in mathematics, requires successful completion of 128 semester hours, including (1) the Program of General Studies which must include six hours of one foreign language; (2) one of the mathematics programs listed below; (3) a minor (where required); and (4) a program of electives. Majors in Mathematics Comprehensive Mathematics—51-56 hours* MATH 103, 104, 201, 220, 250, 251, 252, 303, 307, 309, 310, 320, 451; six other hours from 202 and above excluding 305, 414, 490 and 491; nine other hours selected from 403, 404, 452, 460, 470, and, with consent of chairman, 420. Recommended: eight hours of physics; six other hours of computer programming. (Continued in next column.) Computer Science/ Mathematics—59-64 hours* MATH 103, 104, 201, 202, 215, 220, 240, 250, 251, 252, 271, 307, 320, 355, 356, 361, 362, 410, 445, 460; PHYS 319. Recommended: six hours of statistics. (Note: PHYS 101 and 102 or consent of instructor is required for PHYS 319.) Mathematics—36-41 hours* MATH 103, 104, 201, 250, 251, 252, 303, 307, 309, 310, 320, 451; three hours from 403, 404, 452, 460, 470, and, with consent of chairman, 420. Recommended: eight hours of physics and three additional hours of computer programming. (Note: a minor is required—computer science and statistics are acceptable options.) Minors and Areas of Emphasis in Mathematics Minor in Computer Science—18 hours MATH 201, 202, 211, 215, 355; three additional hours of mathematics above 104, excluding 305, 414, 490 and 491. Not available for Computer Information Systems or Computer Science/Mathematics majors. Minor in Mathematics—21 - 26 hours* MATH 103, 104, 201, 250, 251, 252, 307; three hours from 290 and above, excluding 305, 414, 490 and 491. Not available for Mathematics or Comprehensive Mathematics majors. Minor in Statistics—18 hours MATH 105, 303, 320, 404, either 451 or 452, and three hours of computer programming. Area of Emphasis in Pre-Actuarial Science—24-29 hours* MATH 103, 104, 105, 250, 251, 252, 303, 320, 404. Note: The student is prepared for preliminary actuarial examinations. (This concentration is included within a mathematics major–statistics minor program.) The Bachelor of Science in Computer Information Systems The Bachelor of Science in Computer Information Systems requires the successful completion of 128 semester hours, including the Program of General Studies and the following courses: ACCT 207; MGT 305; MKT 305; MATH 103, 104, 105, 201, 202, 211, 212, 215, 220, 250, 271, 356, 361, 430, 490, 491. Recommended: MATH 240, 355, 410, 445. The Bachelor of Science in Education The degree of Bachelor of Science in Education, with certification to teach mathematics, requires successful completion of 128 semester hours, including (1) the Program of General Studies; (2) the Professional Semester for the certificate chosen (page 55); and (3) the requirements associated with one of the following certificates: Certificate for Grades 5-9 Students may combine a middle school program in Mathematics 5-9 (page 64-65) with (1) the Multi-Subjects Program (page 60); or (2) a specialization for grades 9-12 (pages 72-73); or (3) a specialization for grades 5-12 (pages 62-74). Certificate for Grades 5-12 (page 65) Students may complete a single field in Mathematics 5-12; however, it is highly recommended that this field be combined with at least one other field. Note: For students who score 28 or above on the mathematics section of the Enhanced ACT test, MATH 103 and/or 104 can be waived as a requirement for any program offered by the Department of Mathematics. Mathematics Courses (MATH) 090 Basic Mathematics. (3) A beginning course in mathematics focusing on operations with whole numbers, fractions, decimals, proportions, percents and the real number system; solving equations and problems; and basic geometry. Grade of C or better required. (Non-graduation credit) (F,S) 091 Basic Algebra. (3) Prerequisite: MATH 090, if indicated by diagnostic testing. An introduction to basic algebra skills, including solving equations, systems of equations, and equalities; fractional expressions; exponents, powers, and roots; quadratic equations and functions; and geometry skills. Grade of C or better required. (Non-graduation credit) (F,S) 101 General Mathematics. (3) Prerequisite: Eligible to take a mathematics course for credit. Selected topics from problem solving, set theory, and algebra. (F,S) 103 College Algebra. (3) Prerequisite: Eligible to take a mathematics course for credit. Polynomial, rational, exponential, and logarithmic functions. Graphing functions, operations with matrices, sequences, series, permutations and combinations included. (F,S) 104 College Trigonometry. (2) Prerequisite: MATH 103 or equivalent proficiency. Circular functions, trigonometric identities, applications to triangle, complex numbers. (F,S) 105 Elementary Statistics. (3) Prerequisite: MATH 103. Designed for non-mathematics majors. Includes descriptive statistics, introduction to sampling statistics, hypothesis testing, correlation and regression, analysis of variance, and related topics. (F,S) 110 Mathematics for Elementary School Teachers. (3) Prerequisite: MATH 101 or equivalent proficiency. This course is designed for prospective early and middle childhood teachers and includes the study of sets, relations, numeration systems, elementary theory, and the structure of the real number system. A grade of C or better is necessary for teacher certification programs requiring this course. (F,S) 200 Introductory Geometry. (3) Prerequisite: MATH 101 or equivalent proficiency. Includes fundamental concepts of elementary geometry, points, lines, space, separation, simple closed curves. (S) 201 Introduction to Computer Programming I. (3) Prerequisite: Eligible to take a mathematics course for credit. MATH 103 recommended. Fundamental characteristics and properties of computer languages, algorithmic methods of solving problems on the computer. Pascal programming language is taught and used. (F, S) 202 Introduction to Computer Programming II. (3) Prerequisite: MATH 201 with a grade of C or better. Continuation of MATH 201. Grade of C or better required. (F, S) 211 Cobol I. (2) Prerequisite: MATH 201 with a grade of C or better. Basic characteristics and properties of computers and applications of computers to business. (F) 212 Cobol II. (2) Prerequisite: MATH 211. Continuation of MATH 211. (S) 215 Assembly Language Programming. (3) Prerequisite: MATH 201 with a grade of C or better. An introduction to machine language and assembly language. Symbolic coding, addressing techniques, and operation of assemblers are included. (F) 220 Discrete Mathematics. (3) Prerequisite: MATH 103 and 201. Topics include the study of functions and relations, graphs and trees, combinatorics, sets, analysis of algorithms, and formal logic. (S) 240 Programming in C++. (3) Prerequisite: MATH 202. Advanced programming techniques using C++ object-oriented programming language. Topics include the underlying C language, the use of objects (abstract and concrete classes, class interfaces, and class templates), dynamic storage structures, and an introduction to software engineering frameworks using the C++ language. (S) 250 Calculus with Analytic Geometry I. (4) Prerequisites: MATH 103 and 104 or equivalent proficiency. An introduction to differential calculus, including the necessary techniques of inequalities, sets, relations, and analytic geometry. Limits, continuity, and differentiation of algebraic functions. Some applications of differentiation. (F,S) 251 Calculus with Analytic Geometry II. (4) Prerequisite: MATH 250. A study of the definite and indefinite integrals, elements of analytic geometry to include: conic sections, polar coordinates, and vectors in two and three dimensions. (F,S) 252 Calculus with Analytic Geometry III. (4) Prerequisite: MATH 251. Techniques and applications of integration, vectors in three-dimensional analytic geometry. Elements of infinite series and multiple integration. Introduction to differential equations. (F,S) 260 Number Theory. (3) Prerequisite: MATH 103 or consent of instructor. Includes numeration systems, primes, divisibility, factorization, indeterminate problems, diophantine equations, and analysis of congruences. (F-03, F-05) 271 Computer Organization and Hardware. (3) Prerequisite: MATH 215. Organization of computers in terms of input-output, memory, control and processing units. Representation of data, machine arithmetic instruction formats, basic mechanical and electronic characteristics of computers included, as well as storage devices, control and processing units and computer networks. (S) 275 Special Topics in Computer Science. (1-2) A series of 1-credit, 5-week or 2-credit 10 week mini-courses in topics related to computer science. 290 History of Mathematics. (3) Prerequisite: MATH 103 or consent of instructor. A survey of the development of mathematics from prehistoric times to the present, with emphasis on the mathematical theories and techniques of each period, with their historical evolution. (F-04, F-06) 303 Mathematical Probability and Statistics I. (3) Prerequisite: MATH 252. Includes distributions of random variables, conditional probability, correlation coefficient, selected distributions, and interval estimation. (S) 305 Mathematics for the Public Schools. (3) Prerequisite: MATH 110 or 220 and 60 semester hours previously earned. A study of techniques appropriate for the teaching of mathematics. Student projects may be required. Grade of C (or better) necessary for teacher certification program when course is required. (F,S) 307 Introduction to Abstract Algebra. (3) Prerequisite: MATH 103. Includes symbolic logic, sets, structure of number systems, introduction to group theory, survey of algebra and proofs of theorems. (F) 309 College Geometry. (3) Prerequisite: MATH 250. A careful treatment of Euclidean and non-Euclidean geometries with emphasis on a transformational point of view. (S) 310 Abstract Algebra. (3) Prerequisite: MATH 307. A reasonably careful treatment of the structure of algebra, sets, relations, functions, with primary emphasis on group theory, rings, integral domains, and fields. (S) 320 Linear Algebra. (3) Prerequisite: MATH 307. Techniques in solving systems of linear equations employing the concepts of linear transformations, matrices and determinants. Other topics covered include vector spaces and eigenvalue theory. (S) 340 Mathematical Explorations. (1) Prerequisite: MATH 250 or consent of instructor. Interesting but non-routine problems will be considered, especially those solvable with simple methods. May be repeated up to four times. (F,S) 355 Data Structures. (3) Prerequisite: MATH 202. Implementation of abstract data types, stacks, linear and circular lists, queues, trees, hashing functions, memory management, sorting, and searching algorithms. (F) 356 Data Base Management. (3) Prerequisite: MATH 202. Design, evaluation, and use of data base systems. Topics include file organization and maintenance, information retrieval, query languages, security and the relational, hierarchical, and network approaches to data base management. (S) 361 Operating Systems. (3) Prerequisites: MATH 202 and 271. Introduction to software organization for program, storage, and process management. Topics include concurrent processes, virtual memory, placement, and scheduling algorithms. (F) 362 Programming Languages and Translators. (3) Prerequisites: MATH 220, 307, and 355. Formal definitions of programming languages, including specifics of syntax and semantics. Includes introduction to design, structure, and use of translators for programming languages, and related automata theory topics. (S) 403 Applied Mathematics. (3) Prerequisites: MATH 252 and 320. Topics include solving linear and nonlinear differential equations, systems of linear differential equations, fundamental existence theorems, numerical solutions, and the use of Laplace transforms. (S-02, S-04) 404 Mathematical Probability and Statistics II. (3) Prerequisite: MATH 303. Continuation of MATH 303. Includes introduction to limiting distributions, hypothesis testing, sufficient statistics, analysis of variance and non-parametric statistics. (F-03-05) 410 Software Engineering. (3) Prerequisite: MATH 355. An introduction to rigorous frameworks for the engineering of software systems. Several engineering frameworks are examined, with discussion on the offerings and limitations of each approach. A relatively modern and futuristic view of software engineering serves as the basis for developmental projects in the course. (F) 414 Special Methods in the Teaching of Mathematics. (2) Prerequisites: MATH 305 and consent of instructor. Observation, methods, and media appropriate to the teaching of mathematics. (F) 420 Special Topics. (3) Prerequisite: Consent of instructor. Extended study beyond introductory courses in number theory, abstract algebra, geometry, topology, complex variables, or other topics of interest. 430 Microcomputer System Design. (3) Prerequisites: MATH 356. Corequisite: Math 361 Information and systems concepts, and management of information processing. (F) 445 Distributed Processing and Networks. (3) Prerequisite: MATH 361. Introduction to distributed processes, its advantages and disadvantages relative to microcomputerization of information processing. (S) 451 Advanced Calculus. (3) Prerequisite: MATH 252. and 320. Utilizes the concepts of limit points and cluster points in the study of functions of one variable. Properties of continuous and differential functions. Riemann and Darboux integration, and sequences and series of functions are discussed. (F) 452 Real Analysis. (3) Prerequisite: MATH 252 and 320. The study of metric and Banach spaces; integration theory including Riemann, Lebesgue, and Stieltjes integrals; and functional analysis. (S-03, S-05) 460 Numerical Analysis. (3) Prerequisites: MATH 201, 252, and 320. Solutions of problems by numerical methods. Includes error analysis, polynomial approximations, numerical integration, and differentiation. (F) 470 Independent Study. (1-6) Prerequisites: More than 11 hours in mathematics courses numbered 300 or above. Application must be made and approved by a committee before the student can register for independent study (page 29-30). Students work on mathematical problems outside the scope of normal courses under minimal supervision. Student must give an oral presentation and a written summary of project. (F, S) 480 & 481 Honors Courses. (3,3) Juniors and seniors who qualify for Honors Courses are offered the opportunity to study with individual members of the faculty. This is specialized study apart from conventional classroom work. Application must be made and approved by a committee before the student can register for the honors course (page 28). (F,S) 490 & 491 Practicum I & II. (3,3) Prerequisites: Mathematics or Computer Information Systems major with junior or senior standing and consent of instructor. Field experience in data processing environments. Provides opportunity to relate principles to practical applications in the computer and/or computer information-processing fields. Student must submit a written report. (F,S) Department of Physical Sciences The Department offers degree programs in chemistry, environmental geosciences, and medical technology, as well as coursework in chemistry, geology, physical science, and physics. Minor programs are available in chemistry, geology, and physics. The mission of the Department is to provide course work and degree programs that enable the student to understand the fundamental principles of disciplines in the physical sciences, to develop an attitude of scientific objectivity and inquiry, and to acquire basic laboratory and/or field techniques and skills. The Department operates the Concord College observatory for optical astronomy, maintains numerous laboratories for teaching and research, and provides an opportunity to study geology in the field using the ideal setting of southern West Virginia and research-grade geophysical instrumentation. The student must earn a grade average of 2.00 (C) in all courses required for any major, minor, or any certification option, including all other courses taken in the Department. Students considering a major or minor or teaching field in chemistry or a minor in physics should take the appropriate mathematics course in the first semester of the freshman year as indicated by the mathematics placement test. Chemistry Students choosing a major in chemistry may pursue either: (I) the Bachelor of Science degree with a chemistry (comprehensive) major, a program designed for the preparation of professional chemists; (II) the Bachelor of Science degree with a chemistry (pre-professional) major, a program designed for those who wish to pursue a health-related profession such as medicine or pharmacy; or (III) the Bachelor of Science in Education degree. The Bachelor of Science – Chemistry The degree of Bachelor of Science with a major in chemistry requires successful completion of 128 semester hours, including (1) the Program of General Studies which must include six hours of one foreign language, and (2) one of the two chemistry programs listed below. Major in Chemistry (Comprehensive) 38 hours in chemistry—CHEM 101, 102, 103A, 210, 220, 331, 332, 351, 352, 401, 402, 413; six hours of 425A-F; 18-23 hours in mathematics—MATH 103, 104, 201, 250, 251, 252, and three hours from MATH 202, 320, 403; 10 hours in physics—PHYS 101, 102, and 319 or 320. Major in Chemistry (Pre-Professional) 29 hours in chemistry—CHEM 101, 102, 103A, 210, 220, 331, 332, 351, 352, six hours of 425A-F; 7-12 hours in mathematics —MATH 103, 104, 201, 250; 10 hours in physics—PHYS 101, 102, and 319 or 320. These courses will be waived for those students establishing "equivalent proficiency" as determined by the Department of Mathematics. Minor in Chemistry 24 hours in chemistry—CHEM 101, 102, 103A or 103B, 331, 351; ten hours of chemistry electives; 8 hours of physics—PHYS 101, 102.