MATHEMATICS
Professors: Hazel Coltharp*, Elwyn H. Davis*, Gary L. McGrath*,
Bobby Neal Winters*
Associate Professors: Tadeusz Dobrowolski*, Timothy Flood*, Chairperson;
Ananda Jayawardhana* Yaping Liu*, Cynthia Woodburn*
Instructors: Karla Childs, George Kaemmerling Jr., Terry Martin
*Graduate Faculty
Room 210 Yates Hall
Telephone: 620-235-4400
Fax: 620-235-4429
http://www.pittstate.edu/math
e-mail: tflood@pittstate.edu
Description of Courses
Undergraduate
Bachelor of Arts, Major in Mathematics
Bachelor of Science, Major in Mathematics
Bachelor of Science, Major in Mathematics with
Emphasis in Actuarial Science
Bachelor of Science in Education, Major in Mathematics for Grades 6-12
Minors:
Minor in Teaching Mathematics for Grades 5-8
Minor in Mathematics
Graduate
Master of Science, Major in Mathematics
BACCALAUREATE DEGREES
The Department of Mathematics offers courses leading to the degrees of Bachelor of Arts, Bachelor of Science, and Bachelor of Science in Education.
Programs are planned to meet the current recommendations of the undergraduate curriculum in mathematical sciences proposed by the Mathematical Association of America, and the guidelines for the preparation of teachers adopted by the National Council of Teachers of Mathematics.
The Bachelor of Arts degree is recommended for students who plan to pursue mathematical study at the doctoral level. It is also recommended, in conjunction with the teacher certification program, for strong students who plan to become teachers of mathematics, particularly in higher education.
The Bachelor of Science degree is recommended for students who plan to pursue work in industry immediately after graduation or who plan to pursue further mathematical study.
The Bachelor of Science in Education is recommended for most students who plan to become secondary or middle school teachers of mathematics.
Bachelor of Arts, Major in Mathematics
A. General Education Requirements*
Hours
Basic Skills**............................................................9
General Education Electives...........................................38-44
Sciences.......................................................8-10
Social Studies....................................................3
Political Studies.................................................3
Producing and Consuming**.......................................2-3
Fine Arts and Aesthetic Studies.................................2-3
Cultural Studies.................................................10
(10 hours in one foreign language required for the B.A. degree)
Health and Well-Being...........................................4-6
Human Heritage....................................................6
47-53
B. Major (Mathematics) Core Requirements
MATH 150 Calculus I...................................................5
MATH 155 Calculus II..................................................5
MATH 212 Matrix Algebra...............................................2
MATH 253 Calculus III.................................................3
MATH 543 Probability and Statistics...................................3
MATH 607 History of Mathematics.......................................3
MATH 617 Linear Algebra...............................................3
MATH 627 Linear Optimization Models or
MATH 656 Mathematical Modeling........................................3
MATH 699 Senior Seminar...............................................1
CSIS 230 Visual Basic.Net Programming or
CSIS 240 C++ Programming or
A computer programming course approved by the mathematics department...3
Electives***, minimum of..............................................15
Total..............................................................46
* Courses must be taken from the list approved by the General Education Committee.
See here.
** Three hours of general education basic skills are satisfied by the requirements
in Mathematics. Three hours of general education electives are satisfied by the
required programming course in Computer Science.
*** Electives must be chosen from three or more different areas, as listed below for
the Bachelor of Science degree, one of these must be Abstract Algebra or Analysis I.
At least two electives must be chosen from the Basic Theoretical Mathematics area.
A course may not be counted as both an elective and a major core course.
An appropriate minor is required. The degree requirements for a B.A. major in mathematics
requires a minimum of 124 semester hours.
Bachelor of Science, Major in Mathematics
A. General Education Requirements*
Hours
Basic Skills**............................................................9
General Education Electives...........................................31-39
Sciences.......................................................8-10
Social Studies....................................................3
Political Studies.................................................3
Producing and Consuming**.......................................2-3
Fine Arts and Aesthetic Studies.................................2-3
Cultural Studies................................................3-5
Health and Well-Being...........................................4-6
Human Heritage....................................................6
Total...........................................................40-48
* Courses must be taken from the list approved by the General Education Committee.
See here.
**Three hours of general education basic skills are satisfied by the requirements in
Mathematics. Three hours of general education electives are satisfied by the required
programming course in Computer Science. B. Major (Mathematics) Core Requirements
MATH 150 Calculus I....................................................5
MATH 155 Calculus II...................................................5
MATH 212 Matrix Algebra................................................2
MATH 253 Calculus III..................................................3
MATH 543 Probability and Statistics....................................3
MATH 617 Linear Algebra................................................3
MATH 627 Linear Optimization Models or
MATH 656 Mathematical Modeling.........................................3
MATH 699 Senior Seminar................................................1
CSIS 230 Visual Basic.Net Programming or CSIS 240 C++ Programming or
A computer programming course approved by the mathematics department...3
Electives*, minimum of................................................18
Total...............................................................46
* Electives must be chosen from at least three of the following areas, one of
these must be Abstract Algebra or Analysis I. At least two electives must be
chosen from the Basic Theoretical Mathematics area. A course may not be counted
as both an elective and a major core course.
AREAS: Basic Theoretical Mathematics:
MATH 413 Fundamentals of Mathematical Thought..........................3
MATH 513 Discrete Structures...........................................3
MATH 557 Analysis I....................................................3
MATH 613 Abstract Algebra..............................................3
Applications:
MATH 553 Differential Equations........................................3
MATH 558 Vector Calculus...............................................3
MATH 569 Numerical Analysis............................................3
MATH 627 Linear Optimization Models....................................3
MATH 656 Mathematical Modeling.........................................3
MATH 726 Probability Models............................................3
MATH 763 Numerical Linear Algebra......................................3
Geometry:
MATH 635 The Geometry of Space-Time....................................3
MATH 636 Basic Concepts of Geometry....................................3
MATH 733 Topology......................................................3
History:
MATH 607 History of Mathematics........................................3
Probability and Statistics:
MATH 643 Mathematical Statistics.......................................3
MATH 646 Statistical Methods I.........................................3
An appropriate minor is required. The degree requirements for a B.S. major
in mathematics requires a minimum of 124 semester hours.
Bachelor of Science, Major in Mathematics with
Emphasis in Actuarial Science
An actuary is a person who works for insurance or investment companies and is primarily responsible for determining rates and benefits for insurance policies and retirement instruments. The profession of actuary regularly ranks near the top in surveys of job satisfaction of all professions. One becomes an actuary, and progresses in the profession, by passing tests administered by the Society of Actuaries and the Casualty Actuarial Society, which govern the profession. The actuarial emphasis program at Pittsburg State University is designed to help a student pass the first two of these exams before graduation and to give the student an adequate foundation to begin work as an actuary and to progress in the exam sequence.
A. General Education Requirements*
Hours
Basic Skills**.............................................................9
General Education Electives............................................29-36
Sciences..........................................................8-10
Social Studies.......................................................3
Political Studies....................................................3
Producing and Consuming**............................................0
Fine Arts and Aesthetic Studies....................................2-3
Cultural Studies...................................................3-5
Health and Well-Being..............................................4-6
Human Heritage.......................................................6
Total............................................................38-45
*Courses must be taken for the list approved by the General Education Committee.
See here.
**Three hours of general education basic skills are satisfied by the requirements
in Mathematics. Six hours of general education electives are satisfied by the required
programming course in Computer Science and ECON 200 Introduction to Microeconomics.
B. Major (Mathematics) Core Requirements
MATH 150 Calculus I....................................................5
MATH 155 Calculus II...................................................5
MATH 212 Matrix Algebra................................................2
MATH 253 Calculus III..................................................3
MATH 543 Probability and Statistics....................................3
MATH 617 Linear Algebra................................................3
MATH 643 Mathematical Statistics.......................................3
MATH 646 Statistical Methods I.........................................3
MATH 656 Mathematical Modeling or
MATH 627 Linear Optimization Models....................................3
MATH 658 Mathematical Theory of Interest...............................3
MATH 673 Seminar: Actuarial Exam Number I..............................1
MATH 699 Senior Seminar................................................1
MATH 726 Probability Models............................................3
Total required Mathematics hours....................................38
C. Major (Business) Requirements
ACCTG 201 Financial Accounting..........................................3
Computer Programming course.............................................3
CSIS 230 Visual Basic.Net Programming or
CSIS 240 C++ Programming or
A computer programming course approved by the mathematics department
ECON 200 Introduction to Microeconomics................................3
ECON 201 Introduction to Macroeconomics................................3
ECON 326 Business Finance..............................................3
ECON 418 Intermediate Microeconomics* or
ECON 419 Intermediate Macroeconomics*..................................3
Total required Business hours.......................................18
Two electives (6 hours) from pure mathematics, two (6 hours) from applied
mathematics, and one from business must be chosen from the lists below.
Pure Mathematics
MATH 513 Discrete Structures...........................................3
MATH 557 Analysis I....................................................3
MATH 558 Vector Calculus...............................................3
MATH 607 History of Mathematics........................................3
MATH 613 Abstract Algebra..............................................3
MATH 635 The Geometry of Space-Time....................................3
MATH 636 Basic Concepts of Geometry....................................3
Applied Mathematics
MATH 553 Differential Equations........................................3
MATH 569 Numerical Analysis............................................3
MATH 627 Linear Optimization Models....................................3
MATH 656 Mathematical Modeling.........................................3
MATH 670 Topics in Mathematics (Actuarial Science).....................3
MATH 674 Seminar: Actuarial Exam Number II.............................1
MATH 726 Probability Models............................................3
MATH 749 Time Series Analysis..........................................3
Business
ECON 418 Intermediate Microeconomics*..................................3
ECON 419 Intermediate Macroeconomics*..................................3
ECON 621 Investments...................................................3
Total Mathematics hours = 50
Total Business hours = 21
*Cannot be used for both areas.
The degree requirements for a B.S. Major in Mathematics with Emphasis in Actuarial
Science requires a minimum of 124 semester hours.
Bachelor of Science in Education, Major in
Mathematics for Grades 6-12
A. General Education Degree Requirements for students preparing to teach*
All students preparing to teach must meet the general education requirements
for all baccalaureate degrees (see here) as well as the requirements for teacher
certification.
The following plan will satisfy both requirements.
Hours
Basic Skills**,#...............................................................9
General Education Electives................................................31-39
Sciences............................................................8-10
Social Studies.........................................................3
Political Studies......................................................3
Producing and Consuming**............................................2-3
Fine Arts and Aesthetic Studies......................................2-3
Cultural Studies.....................................................3-5
Health and Well-Being................................................4-6
Human Heritage.........................................................6
Total...............................................................40-48
* See general education degree requirements for students preparing to teach
secondary school here.
** Three hours of general education basic skills are satisfied by the requirements
in Mathematics. Three hours of general education basic skills are satisfied by the
required programming course in Computer Science.
#Must have a "C" or better in each of the Basic Skills courses.
B. Major (Mathematics) Core Requirements
MATH 143 Elementary Statistics.............................................3
MATH 150 Calculus I........................................................5
MATH 155 Calculus II.......................................................5
MATH 212 Matrix Algebra....................................................2
MATH 253 Calculus III......................................................3
MATH 471 Manipulative's for Teaching Mathematics............................1
MATH 472 Calculators in Teaching Mathematics...............................1
MATH 473 Mathematical Software.............................................1
MATH 513 Discrete Structures...............................................3
MATH 543 Probability and Statistics........................................3
MATH 607 History of Mathematics............................................3
MATH 613 Abstract Algebra..................................................3
MATH 636 Basic Concepts of Geometry........................................3
MATH 656 Mathematical Modeling.............................................3
MATH 699 Senior Seminar....................................................1
CSIS 230 Visual Basic.Net Programming or
CSIS 240 C++ Programming or
A computer programming course approved by the mathematics department........3
Electives, minimum of 3 hours***............................................3
Total..................................................................46
*** Electives must be selected from courses numbered above 253, exclusive of courses
listed for elementary education majors MATH 304, MATH 306, MATH 503, MATH 705.
C. Professional Education****
CURIN 261 Explorations in Education.........................................3
PSYCH 263 Developmental Psychology..........................................3
PSYCH 357 Educational Psychology............................................3
MATH 479 Techniques for Teaching Mathematics................................3
SSLS 510 Overview of Education for Exceptional Students.....................3
CURIN 511 Methods and Materials in Middle Level Education@..................3
CURIN 520 Middle and Secondary Reading......................................3
Professional Semester......................................................17
CURIN 458 Methods and Curriculum.......................................3
CURIN 462 Secondary and Middle Level Education.........................2
CURIN 464 Foundations of Measurement and Evaluation....................2
CURIN 480 Supervised Teaching in the Secondary School..................3
CURIN 482 Supervised Teaching in the Secondary School..................5
MATH 579 Supervised Student Teaching and Follow-Up of
Teachers...................................................2
Total.............................................................35-38@
****See here for professional education grade point requirements for admission
to the professional semester. @Required of students seeking middle level certification.
The degree requirements for a B.S. in Education with a major in mathematics
requires a minimum of 124 semester hours.
Minor in Teaching Mathematics for Grades 5-8*
This minor in mathematics has been designed to satisfy mathematics teacher
licensure requirements for Late Childhood/Early Adolescence (5-8). This minor
is only available in conjunction with a Bachelor of Science in Education degree.
Hours
MATH 126 Pre-Calculus....................................................4
MATH 143 Elementary Statistics...........................................3
MATH 204 Mathematics for Education I.....................................3
MATH 304 Mathematics for Education II....................................3
MATH 407 Cultural Mathematics............................................1
MATH 471 Manipulative's for Teaching Mathematics..........................1
MATH 472 Calculators in Teaching Mathematics.............................1
MATH 473 Mathematical Software...........................................1
MATH 479 Techniques for Teaching Mathematics.............................3
MATH 503 Introduction to Advanced Mathematical Concepts for Education....3
CSIS 230 Visual Basic.Net Programming or
CSIS 240 C++ Programming or
A computer programming course approved by the mathematics department
3
Total.............................................................26
*Students seeking middle-level endorsement must also take CURIN 511 Methods and
Materials in Middle Level Education.
Minor in Mathematics
A minor in mathematics is supportive of various areas, particularly the biological,
physical, computer, managerial, and social sciences. Consult the department for
recommended courses.
Required Courses: Hours
MATH 150 Calculus I......................................................5
MATH 212 Matrix Algebra..................................................2
MATH 143 Elementary Statistics or
MATH 543 Probability and Statistics or
CSIS 230 Visual Basic.Net Programming or
CSIS 240 C++ Programming or
A computer programming course approved by the mathematics department......3
Electives from approved mathematics courses numbered 143 or above........10
Total..................................................................20
GRADUATE DEGREES
Master of Science
Mathematics
Community College Teaching (Mathematics)
Secondary Teaching (Mathematics)
The Department of Mathematics offers courses leading to the degree of Master of Science. Candidates for this degree must meet the requirements for Option I, Option II, or Option III as described on page 66 of this catalog. The prerequisite for starting a major is eight hours of acceptable courses in mathematics beyond MATH 253 Calculus III.
A minimum of 20 hours of acceptable courses in mathematics is required. MATH 863 Seminar in Mathematics (___), MATH 890 Research and Thesis or MATH 891 Research Problem, and other 800-level courses for a mini-mum of 15 hours credit should be included. A program with an applied or theoretical emphasis is available.
The Department of Mathematics offers work in the community college teaching program in cooperation with the Department of Special Services and Leadership Studies. The Master of Science degree with an emphasis in mathematics is granted by the Department of Special Services and Leadership Studies. Consult the college teaching pro-grams described in the Special Services and Leadership Studies section of the catalog for additional information.
DESCRIPTION OF COURSES
Students who have completed intermediate or college algebra in high school may not enroll in the same courses for college credit. They may attend any of these classes for review purposes. Trigonometry may be repeated in college for full credit if approved by the student's major adviser. Students with strong preparation in high school trigonometry and two years of algebra may begin their college mathematics with MATH 150 Calculus I. A curriculum requirement of college algebra may be met by completing MATH 113 College Algebra, MATH 110 College Algebra with Review, MATH 126 Pre-Calculus, MATH 150 Calculus I, or MATH 153 Introduction to Analytic Processes. The department cooperates with other departments and with the students in an effort to insure that they enroll in the courses that are most appropriate for them.
UNDERGRADUATE
MATH 017. Elementary Algebra. 3 hours. A beginning course in algebra designed to prepare the student for MATH 019 Intermediate Algebra. Offered on a Pass-No Credit basis only. Not counted toward the total hours required for a degree.
MATH 019. Intermediate Algebra. 4 hours. Designed to prepare the student for MATH 110 College Algebra with Review. Not counted toward the total hours required for a degree.
MATH 110. College Algebra with Review. 5 hours. (Only 3 hours count toward a degree). Operations with algebraic expressions; linear and quadratic functions; graphs of polynomial and rational functions; systems of equations; logarithmic and exponential functions; arithmetic and geometric progressions; permutations and combinations. This course is slower paced than MATH 113 College Algebra, but covers the same material. Not recommended for those having four years of high school mathematics, including two units of algebra, one unit of geometry, and one-half unit of advanced or senior mathematics. Closed to students with a grade of "C" or better in a course with number higher than 110. Prerequisite: MATH 019 Intermediate Algebra or one unit of high school algebra.
MATH 113. College Algebra. 3 hours. Operations with algebraic expressions; linear and quadratic functions; graphs of polynomial and rational functions; systems of equations; logarithmic and exponential functions; arithmetic and geometric progressions; permutations and combinations. Not recommended for those having four years of high school mathematics, including two units of algebra, one unit of geometry, and one-half unit of advanced or senior mathematics. Closed to students with credit in MATH 110 College Algebra with Review or MATH 126 Pre-Calculus or MATH 153 Introduction to Analytic Processes, or students with a letter grade of "C" or better in MATH 150 Calculus I. Prerequisite: MATH 019 Intermediate Algebra or 1_ units of high school algebra.
MATH 114. Elements of Technical Analysis. 3 hours. Basic mathematics for technology students. Special emphasis on units of measurement, accuracy, use of calculators, beginning algebra, solutions of equations, use of graphs. Open only to candidates for the Associate of Applied Science degree. Closed to students with credit in MATH 110 College Algebra with Review or MATH 113 College Algebra.
MATH 122. Plane Trigonometry. 3 hours. The trigonometric functions; solutions of right and oblique triangles; identities; properties of circular functions; and complex numbers; applications. Prerequisite: MATH 110 College Algebra with Review or MATH 113 College Algebra. Closed to students with credit in MATH 126 Pre-Calculus.
MATH 126. Pre-Calculus. 4 hours. Pre-Calculus properties of the real number system, limits, functions, continuity, trigonometry, and graphics. Not open to students with credit in MATH 113 College Algebra, MATH 114 Elements of Technical Analysis, MATH 122 Plane Trigonometry, MATH 150 Calculus I, or MATH 153 Introduction to Analytic Processes. Prerequisite: Two units of high school algebra and trigonometry or permission of instructor. Spring.
MATH 133. Quantitative Reasoning. 3 hours. Designed for the students NOT planning to major in a field that requires advanced mathematical skills. Prepares students for the mathematics encountered in other college courses that use quantitative reasoning. Emphasis on developing critical thinking and quantitative reasoning skills needed to understand major issues in society.
MATH 143. Elementary Statistics. 3 hours. Basic concepts of statistics and probability applicable to all disciplines. Topics include data analysis, probability, discrete and continuous distributions, sampling, and statistical inference. Not open to students with credit in MATH 543 Probability and Statistics. Prerequisite: MATH 019 Intermediate Algebra or one unit of high school algebra.
MATH 150. Calculus I. 5 hours. Students with credit in MATH 153 Introduction to Analytic Processes receive only 3 hours credit. Functions, limits, derivatives and integrals. Applications to science, business, and technology. Prerequisite: MATH 122 Plane Trigonometry and a grade of C or higher in MATH 110 College Algebra with Review or MATH 113 College Algebra or MATH 126 Pre-Calculus or permission of instructor.
MATH 153. Introduction to Analytic Processes. 3 hours. Topics in differential and integral calculus and linear algebra for business applications. Closed to students with credit in MATH 150 Calculus I. Prerequisite: Grade of C or higher in MATH 110 College Algebra with Review or MATH 113 College Algebra or MATH 126 Pre-Calculus.
MATH 155. Calculus II. 5 hours. Continuation of MATH 150 Calculus I. Differentiation and integration techniques, transformations, polar coordinates, conics, transcendental functions, series and vectors. Prerequisite: Grade of "C" or higher in MATH 150 Calculus I or permission of instructor.
MATH 170. Mathematical Explorations. 1-3 hours. Directed class or seminar at the beginning college level. May be repeated.
MATH 212. Matrix Algebra. 2 hours. Algebra of matrices, determinants, the inverse and rank of a matrix, linear vector space concepts, and Eigenvalues. Linear programming. Prerequisite: MATH 110 College Algebra with Review or MATH 113 College Algebra or MATH 126 Pre-Calculus.
MATH 253. Calculus III. 3 hours. Continuation of MATH 155 Calculus II. Vectors, solid analytic geometry, multivariable and vector calculus, and multiple integration. Prerequisite: MATH 155 Calculus II.
MATH 306. Development of the Real Number Systems. 3 hours. Development of the structure of the various number systems through Real Numbers. Use of technology, such as the calculator and computer, as tools for problem solving with emphasis on strategies. Introduces statistical measures of central tendency, normal distributions and simulations in probability. Closed to students with credit in MATH 150 Calculus I unless the student is certifying to teach mathematics. Prerequisite: MATH 110 College Algebra with Review or MATH 113 College Algebra or MATH 126 Pre-Calculus.
MATH 407. Cultural Mathematics. 1 hour. The development and role of mathematics in a variety of cultures, including key moments in the history of mathematics, contributions of selected individuals, and contributions of different cultures in the historical development of mathematics. Prerequisite/corequisite: MATH 204 Mathematics for Education I. Fall, even numbered years.
MATH 413. Fundamentals of Mathematical Thought. 3 hours. Symbolic logic and axiomatic set theory, set theoretic constructions, relations, functions, and paradoxes. Development of the natural number system. Finite geometry.
MATH 471. Manipulative's for Teaching Mathematics. 1 hour. The use of
mathematical manipulative's in teaching. Manipulative's to include Geoboard, Lenart sphere, algebra tiles, Mira. Spring.
MATH 472. Calculators in Teaching Mathematics. 1 hour. Uses of graphing calculators in teaching. Programming activities on the calculator will be explored. Prerequisite: MATH 150 Calculus I. Spring.
MATH 473. Mathematical Software. 1 hour. Uses of mathematical software in teaching. Programming activities using current software packages will be explored. Prerequisite: MATH 150 Calculus I. Spring.
MATH 513. Discrete Structures. 3 hours. Elements of prepositional logic, sets, algorithms, number theory, proofs, counting, mappings, relations, trees, graphs, digraphs, and Boolean algebra. May be taken for honors.
MATH 543. Probability and Statistics. 3 hours. Probability theory, random variables, discrete and continuous distributions and density functions, mathematical expectation, moment generating functions. Prerequisite: MATH 155 Calculus II. May be taken for honors.
MATH 553. Differential Equations. 3 hours. Standard types of ordinary equations of the first and second order, linear equations with constant coefficient solution by series, and applications to geometry and physical science. Prerequisite: MATH 253 Calculus III and MATH 212 Matrix Algebra. Spring.
MATH 557. Analysis I. 3 hours. A proof-oriented treatment of the real number system, sequences, the topology of real numbers, continuous functions, differentiation, and integration. Prerequisites: MATH 253 Calculus III. May be taken for honors. Fall.
MATH 558. Vector Calculus. 3 hours. N-space. Subspaces and bases. Eigen-values. Diagonalizing a matrix. Chain rule. Taylor's formula. Optimization. LaGrange multipliers. Gradient, curl and divergence. Green's, Stoke's, and Gauss' theorems. Curvilinear coordinates. Prerequisites: MATH 253 Calculus III and either MATH 212 Matrix Algebra or MATH 617 Linear Algebra. Offered concurrently with MATH 758 Vector Calculus. May be taken for honors.
MATH 569. Numerical Analysis. 3 hours. Numerical methods for interpolation, integration, systems of linear equations, nonlinear equations, and ordinary differential equations. Error analysis. Several programming exercises. Prerequisites: MATH 155 Calculus II, MATH 212 Matrix Algebra and programming ability. May be taken for honors. Fall.
MATH 607. History of Mathematics. 3 hours. The practice of mathematics in ancient, medieval, and modern times. Current developments in the philosophy and foundations of mathematics. Social and institutional factors. Standards of rigor. Prerequisite: MATH 150 Calculus I. Offered concurrently with MATH 707 History of Mathematics. May be taken for honors. Fall.
MATH 613. Abstract Algebra. 3 hours. Elements of group theory and ring theory; subgroups, cyclic and permutation groups, homomorphism's, quotient groups, isomorphism theorems, Subrings, and ideals. Applications to modular arithmetic, partitions and equivalence relations, polynomial rings, complex numbers, integral domains, and fields. Prerequisite: MATH 617 Linear Algebra or MATH 513 Discrete Structures. May be taken for honors. Fall.
MATH 617. Linear Algebra. 3 hours. Gaussian elimination; vector spaces, sub-spaces; bases and dimension; linear transformation; orthogonal projections and least squares; determinants, Eigenvalues and eigenvectors; positive definite matrices; Diagonalization of matrices and canonical form. Offered concurrently with MATH 717 Linear Algebra. May be taken for honors. Spring.
MATH 627. Linear Optimization Models. 3 hours. Simplex algorithm. Topics such as duality, revised and dual simplex algorithms, sensitivity analysis, transportation and assignment problems, network and flows. Prerequisite: MATH 212 Matrix Algebra or MATH 617 Linear Algebra. Offered concurrently with MATH 727 Linear Optimization Models. May be taken for honors. Fall.
MATH 635. The Geometry of Space-Time. 3 hours. Definition of (N+1) space-time. Development of the Minkowski inner product as a means of preserving Maxwell’s Equations. Geometric applications to the Special Theory of Relativity. Isometries of Minkowski space-time. Offered concurrently with MATH 735 The Geometry of Space-Time. Prerequisite or corequisite MATH 253 Calculus III.
MATH 636. Basic Concepts of Geometry. 3 hours. Elementary geometry from an advanced standpoint with emphasis on structure and proof. Metric and synthetic approaches to two- and three-dimensional Euclidean geometries; constructions; and non-Euclidean geometries. May be taken for honors. Spring.
MATH 643. Mathematical Statistics. 3 hours. Sampling theory, statistical inference: estimation and tests of hypotheses, multivariate distributions. Prerequisites: MATH 253 Calculus III and MATH 543 Probability and Statistics. Offered concurrently with MATH 743 Mathematical Statistics. May be taken for honors. Spring.
MATH 646. Statistical Methods I. 3 hours. Applied statistics, methods of estimation and tests of hypotheses, categorical data, introduction to analysis of variance, correlation, regression, and experimental design. Prerequisites: MATH 143 Elementary Statistics or MATH 543 Probability and Statistics. Offered concurrently with MATH 746 Statistical Methods I. May be taken for honors. Fall, odd numbered years.
MATH 656. Mathematical Modeling. 3 hours. Problems arising from areas and disciplines other than mathematics. Description of the problem at its source, analysis of the key factors and simplifying assumptions, presentation of the problem in a tractable form, solution and testing of the selected model. Prerequisite: MATH 155 Calculus II and MATH 212 Matrix Algebra. May be taken for honors. Spring.
MATH 658. Mathematical Theory of Interest. 3 hours. Mathematics of simple and compound interest, time value of money, annuities, cash flow analysis, amortization schedules, sinking funds, bonds, other securities, and other related topics. Prerequisite: MATH 155 Calculus II. Spring.
MATH 670. Topics in Mathematics: (____). 1-3 hours. Directed class or seminar study at the undergraduate level. May be repeated. May not be taken for graduate credit. Prerequisite. Permission of instructor.
MATH 673. Seminar: Actuarial Exam Number I. 1 hour. Directed reading, problem solving, and student presentations with the purpose of preparing students for the first actuarial examination. May not be repeated for the same examination.
MATH 674. Seminar: Actuarial Exam Number II. 1 hour. Directed reading, problem solving, and student presentations with the purpose of preparing students for the second actuarial examination. May not be repeated for the same examination.
MATH 687. Reading in Mathematics (____). 1-3 hours. Directed reading for superior undergraduate students. May be repeated for a maximum of 3 hours. Prerequisite: Permission of instructor.
MATH 699. Senior Seminar. 1 hour. Activities include: student presentations, review of major courses, and assessment. Required of all senior mathematics majors, both teaching and non-teaching. Should be taken the senior year.
SENIOR-GRADUATE
MATH 707. History of Mathematics. 3 hours. The practice of mathematics in ancient, medieval, and modern times. Current developments in the philosophy and foundations of mathematics. Social and institutional factors. Standards of rigor. Prerequisite: MATH 150 Calculus I. Offered concurrently with MATH 607 History of Mathematics. May be taken for honors. Fall.
MATH 717. Linear Algebra. 3 hours. Gaussian elimination; vector spaces; subspaces, bases and dimension; linear transformations; orthogonal projections and least squares; determinants; Eigenvalues and eigenvectors; positive definite matrices; Diagonalization of matrices and canonical form. Offered concurrently with MATH 617 Linear Algebra. May be taken for honors. Spring.
MATH 726. Probability Models. 3 hours. Stochastic processes, random walks, renewal theory, discrete and continuous time, Markov chains, queues and Brownian motion, joint distributions, conditional distributions, conditioning techniques, difference and differential equations, Z-transforms, and Laplace transforms. Prerequisites: MATH 543 Probability and Statistics. May be taken for honors. Spring.
MATH 727. Linear Optimization Models. 3 hours. Simplex algorithm. Topics such as duality, revised and dual simplex algorithms, sensitivity analysis, transportation and assignment problems, network and flows. Prerequisite: MATH 212 Matrix Algebra. Offered concurrently with MATH 627 Linear Optimization Models. May be taken for honors. Fall.
MATH 733. Topology. 3 hours. Topological structures: Open sets, neighborhoods, closed sets, subspaces, product spaces, quotient spaces; separation axioms; limits and continuity, filters and sequences; compactness and connectedness; Countability axioms and Separability; metric spaces. May be taken for honors.
MATH 735. The Geometry of Space-Time. 3 hours. Definition of (N+1) space-time. Development of the Minkowski inner product as a means of preserving Maxwell’s Equations. Geometric applications to the Special Theory of Relativity. Isometries of Minkowski space-time. Prerequisite or corequisite: MATH 253 Calculus III.
MATH 743. Mathematical Statistics. 3 hours. Sampling theory, statistical inference: estimation and tests of hypotheses, multivariate distributions. Prerequisites: MATH 253 Calculus III and MATH 543 Probability and Statistics. Offered concurrently with MATH 643 Mathematical Statistics. May be taken for honors. Spring.
MATH 746. Statistical Methods I. 3 hours. Applied statistics, methods of estimation and tests of hypotheses, categorical data, introduction to analysis of variance, correlation, regression, and experimental design. Prerequisites. MATH 143 Elementary Statistics or MATH 543 Probability and Statistics. Offered concurrently with MATH 646 Statistical Methods I. May be taken for honors. Fall, odd numbered years.
MATH 749. Time Series Analysis. 3 hours. Auto correlation, moving averages, smoothing methods, multiple regression, regression of time series data, and ARIMA methodology. Prerequisite: MATH 543 Probability and Statistics. Fall, even numbered years.
MATH 755. Elementary Partial Differential Equations. 3 hours. Fourier series, Legendre polynomials, Bessel functions. Separation of variables. Heat, wave and potential equations. Finite difference methods. Ritz and Galerkin methods. Finite element method. Prerequisite: MATH 553 Differential Equations. May be taken for honors.
MATH 757. Analysis II. 3 hours. A theoretical treatment of the calculus of several variables. Implicit function theorem and inverse function theorem. Prerequisite: MATH 557 Analysis I. May be taken for honors.
MATH 758. Vector Calculus. 3 hours. N-space. Subspaces and bases. Eigen-values. Diagonalizing a matrix. Chain rule. Taylor's formula. Optimization. LaGrange multipliers. Gradient, curl and divergence. Green's, Stoke's, and Gauss' theorems. Curvilinear coordinates. Prerequisites: MATH 253 Calculus III and either MATH 212 Matrix Algebra or MATH 617 Linear Algebra. Offered concurrently with MATH 558 Vector Calculus. May be taken for honors.
MATH 763. Numerical Linear Algebra. 3 hours. Numerical linear algebra: Gaussian elimination, orthogonal transformations, least squares, algebraic Eigenvalue problem, iterative methods, numerical solution of partial differential equations. Prerequisites: MATH 212 Matrix Algebra or MATH 617 Linear Algebra. May be taken for honors. Spring.
MATH 770. Topics in Mathematics: (____). 1-3 hours. Directed class or seminar study. May be repeated if topics are different. A maximum of six hours can be applied toward a degree. Prerequisite: Permission of instructor.
MATH 773. Expository Mathematics: (____). 0.5-6 hours. Analysis and synthesis of expository mathematics. Role of key mathematical concepts, teaching techniques, and/or learning devices in modern mathematics. May be repeated for a maximum of 6 hours.
GRADUATE
MATH 813. Algebra I. 3 hours. Theory of rings and modules; polynomial rings, Homomorphisms, quotient rings, ideals, rings of fractions, integral domains, and modules. Prerequisite: MATH 613 Abstract Algebra. Fall.
MATH 836. Advanced Geometry. 3 hours. Development of non-Euclidean geometries and advanced Euclidean topics.
MATH 840. Topics in Statistics. (____). 1-3 hours. Directed class or seminar study. Prerequisite: Permission of instructor. May be repeated for a maximum of 6 hours.
MATH 853. Functions of a Complex Variable. 3 hours. General theory of analytic functions, conformal representation and mapping, trigonometric and hyperbolic functions, expansions in power series, definite integrals, and calculus of residues. Prerequisites: MATH 557 Analysis I and permission of instructor. Spring.
MATH 856. Linear Methods in Analysis. 3 hours. Point wise and uniform convergence. Inner product spaces, Hilbert spaces, orthogonal spaces, and projectors. Complete Orthonormal sequences. Generalized Fourier sequences, Fourier series, Fourier transforms, and discrete Fourier theorems. The Riemann-Lebesgue Lemma. Wavelets. The properties of the Lebesgue integral. Prerequisite: MATH 557 Analysis I and permission of instructor. Fall.
MATH 863. Seminar in Mathematics. (____). 1-6 hours. Intensive study in a selected area of mathematics. May be repeated for a maximum of 6 hours.
MATH 870. Topics in Mathematics: (____). 1-3 hours. Directed class or seminar study. May be repeated if topics are different. A maximum of 6 hours can be applied toward a degree. Prerequisite: Permission of instructor.
MATH 871. Seminar: Teaching of Mathematics. 1-3 hours. Problems in teaching modern concepts; trends and curriculum changes; evaluation of student progress. Prerequisite: Permission of instructor. May be repeated for a maximum of 3 hours. Fall.
MATH 880. Advanced Reading in Mathematics. 1-3 hours. Directed reading. May be repeated for a maximum of 6 hours. Prerequisite: Permission of instructor.
MATH 890. Research and Thesis. 1-5 hours. A total of 4 or 5 hours credit is required. May be repeated for a maximum of 5 hours.
MATH 891. Research Problem. 1-5 hours. A total of 4 or 5 hours credit is required. May be repeated for a maximum of 5 hours.
ELEMENTARY EDUCATION MAJORS
MATH 204. Mathematics for Education I. 3 hours. Basic principles and concepts of mathematics including problem solving strategies, functions, sequences, set theory, probability theory, and statistics concepts for prospective elementary and middle school teachers. Closed to students with credit in MATH 150 Calculus I.
MATH 304. Mathematics for Education II. 3 hours. Basic principles and concepts of mathematics involving the properties of whole numbers, integers, rational numbers, and real numbers and the fundamental models for their operations for prospective elementary and middle school teachers. Exploration of topics in measurement, and geometric concepts, such as properties of two and three-dimensional shapes, congruency, similarity, and transformations. Grade of "C" or higher in MATH 204 Mathematics for Education I.
MATH 503. Introduction to Advanced Mathematical Concepts for Education. 3 hours. An introduction to advanced topics in mathematics including concepts of: matrices, discrete and continuous functions, calculus, and graph theory. The topics will be introduced using appropriate technology. Prerequisites: MATH 126 Pre-Calculus, MATH 472 Calculators in Teaching Mathematics, and MATH 473 Mathematical Software. Fall, odd numbered years.
SENIOR-GRADUATE
MATH 705. Topics in Elementary Mathematics: (____). 1-3 hours. Topics relevant to the elementary classroom will be developed in laboratory or seminar setting. May be repeated if topic is different. A maximum of 3 hours credit can be applied toward a degree. Prerequisite: elementary teaching experience.
PROFESSIONAL COURSES
MATH 479. Techniques for Teaching Mathematics. 1, 2 or 3 hours. Techniques, methods, and course content used in teaching mathematics in the secondary school. Offered by the Department of Mathematics. Concurrent, one hour weekly departmental tutorial service required. To be taken before the profession-al semester. Prerequisite: Admission to teacher education and PSYCH 357 Educational Psychology. Demonstrable skill at the College Algebra level is required for passing the class. May be taken for honors.
MATH 579. Supervised Student Teaching and Follow-Up of Teachers. 2 hours.
Departmental representatives will visit each student teacher during the profession-al semester. Additionally, departmental representatives will follow up with each area student during the first year of teaching with assistance and support. Concurrent enrollment in the professional semester is required. Offered on a Pass-Fail basis only.
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