Indiana University of Pennsylvania-Main Campus · Courses
MA
63 courses with the subject MA, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MA 100Intermediate Algebra
3c-0l-3sh Note: A student may not take MA100 after successfully completing MA110 or a calculus course without the written approval of the mathematics department chairperson A basic course in algebra including factoring, exponents and radicals, systems of linear equations, complex fractions, and inequalities. Designed for those students who lack the basic algebraic skills required in MA110 Elementary Functions. This course will not meet Liberal Studies math requirements. (Title was Basic Algebra prior to 1995-96.)
3c-0l-3sh Introduces logic and mathematical way of analyzing problems; develops an appreciation for nature, breadth, and power of mathematics and its role in a technological society; introduces useful mathematics or mathematics related to student interest. Possible topics include logic, problem solving, number theory, linear programming, probability, statistics, intuitive calculus, introduction to computers, mathematics of finance, game theory.
3c-0l-3sh Note: A student may not take MA105 after successfully completing a calculus course or MA110 without the written approval of the mathematics department chairperson. Prepares students for the study of calculus for business, natural, and social sciences. Topics include a detailed study of polynomial, exponential, and logarithmic functions. This course is designed primarily for students planning to take
3c-0l-3sh Note: A student may not take MA110: after successfully completing a calculus course without the written approval of the mathematics department chairperson. For students not prepared to begin the study of calculus; topics include polynomial, exponential, logarithmic, and trigonometric functions.
3c-0l-3sh This course is an introduction to the nature of mathematics, designed specifically as a first course for mathematics education majors to experience several facets of mathematics including deduction, induction, problem solving, discrete mathematics, and theory of equations. Enrollment open to secondary mathematics education majors only.
Social Sciences and Business *sh (1) Controlled electives: Four other EC courses 12sh (4) Free Electives: 38-47 Total Degree Requirements: 124 (1) MA123 or MA127 may be substituted for MA121. (2) Intermediate-level Foreign Language may be included in Liberal Studies electives. (3) MA214, MA217 or MA363 may be substituted for EC355. (4) No more than six hours of Internship credit may be applied toward major.
Social Science and Business 4sh (2) Free Electives: 29-39 Electives to meet minimum of ninety IUP credits 0-3sh (3) Credits from work at Pennsylvania College of Optometry 34sh Total Degree Requirements: 124 (*) Accelerated three-year Pennsylvania College of Optometry (PCO) program: students are admitted to the PCO accelerated program only as incoming freshmen. A maximum of thirty-four credits of work may be transferred after the first year at PCO. Upon the completion of the first year of studies at PCO, a transcript from PCO is to be sent by the student to the Dean of the College of Natural Sciences and Mathematics with a note requesting application materials for graduation. (1) Three or four credits of Intermediate-level Foreign Language may be included in Liberal Studies electives. (2) Required for many schools of optometry; recommended for PCO. (3) Additional electives if needed to meet minimum of ninety IUP credits should be selected from the following suggestions: BI112: Principles of Biology II, BI263: Genetics. Table of Contents | Index of Courses This information is maintained by the Office of the Registrar, with approval from the University Senate. Last Modified at 1:49 PM on 7/28/98.
4c-0l-4sh The first in a three-course series of courses which stresses the theory of the calculus as well as the application in problem solving. Topics to be included are real numbers, an introduction to analytic geometry, functions, limits and continuity, derivatives and applications, the differential and antidifferentiation.
4c-0l-4sh The second in a three-course series of courses stresses the theory of calculus as well as the application in problem solving. Topics to be included are definite integrals and applications, logarithmic and exponential functions, trigonometric and inverse trigonometric functions, polar coordinates, hyperbolic functions, indeterminate forms,
3c-0l-3sh Topics included are sets, concepts of logic, mathematical systems, systems of numeration, developing the set of integers, rational numbers, and real numbers.
MA216 or EC355 Statistics 3-4sh Economics Electives: 12 Students are especially encouraged to take EC334 and EC356, but any course except EC101 may be used. EC493 may be counted only with the approval of the program coordinator. Mathematics Electives: 12-13 At least one of the following two-semester sequences: MA241 Differential Equations and MA371 Linear Algebra MA363 and MA364 Mathematical Statistics I and II MA445 and MA446 Programming and Probabilistic Models
MA 214Probability and Statistics for Business Majors
3c-0l-3sh Designed to introduce the study of probability theory, discrete random variables and probability distributions, empirical frequency distributions, theoretical frequency distributions, statistical investigations and sampling, and sampling distributions.
3c-0l-3sh (For non-Math majors) Frequency distributions, measures of central tendency, variation, elementary probability, sampling, estimation, testing hypotheses, correlation, and regression; emphasis on applications as opposed to theoretical development of topics.
Free Electives: 9-28 Total Degree Requirements: 124 (1) Select at least 9sh from the list of controlled electives and/or the list of upper-level electives. Note: Only 4sh of CO493 may be counted toward these 9sh. (2) CO493 may be selected in either the second semester of the junior year or the first semester of the senior year. If CO493 is selected and approved, CO380 should be taken in the immediately preceding semester. (3) Select at least two additional courses, from at least two different categories, from the list of upper-level electives. (4) Foreign Language intermediate-level courses are counted as Liberal Studies electives. (5) Any of the Mathematics options satisfy the Learning Skill requirement, and one course may be counted as a Liberal Studies elective. The three-credit minimum applies to students who take MA123 and MA216. The thirteen- credit maximum applies to students who take the MA121-MA122 calculus option and the MA363-MA364 statistics option. Table of Contents | Index of Courses This information is maintained by the Office of the Registrar, with approval from the University Senate. Last Modified at 11:20 AM on 7/27/98.
3c-0l-3sh Emphasis is placed on techniques of solution and elementary physical applications. A thorough study is made of differential equations classified as order one-degree one, linear, and nonhomogeneous. Solution techniques involving reduction of order techniques, the differential operator, and infinite series are introduced.
3c-0l-3sh Gives student basic ideas of necessary to prove results in mathematics. Includes but is not limited to logic of mathematics, basic methods of proof, algebra of sets, equivalence relations and partitions of sets, functions, and mathematical induction.
3c-0l-3sh A further study of the basic ideas of contemporary mathematics. Topics include but are not limited to mathematical induction, cardinality of sets, relations, methods of proof in number theory, analysis, and algebra.
var-1-3sh Special topics are offered on an experimental or temporary basis to explore topics that are not included in the established curriculum. A given topic may be offered under any special topic identity no more than three times. Special topics numbered 281 are offered primarily for lower-level undergraduate students.
3c-0l-3sh Introduces students to elementary concepts of probability and statistics which will enable them to analyze data, make predictions, and determine which concepts may be used with children.
Free Electives: 3 Total Degree Requirements: 129 (*) See requirements leading to teacher certification in the catalog section on Academic Policies, Admission to
2c-0l-2sh Development of the central concepts of mathematics from ancient times up to the development of calculus in the seventeenth century. Mathematical concepts will be placed in historical perspective. The use of the history of mathematics as a pedagogical tool and its relationship to other sciences will be addressed.
3c-0l-3sh Studies various groups of transformations and geometries associated with these groups in the Euclidean plane. The Euclidean Similarity and affine and projective groups of transformations are studied.
3c-0l-3sh Probability theory necessary for an understanding of mathematical statistics is developed. Applications of set theory to models, combinations and permutations, binomial, Poisson and normal distributions, expected values, and moment generating functions.
3c-0l-3sh Multivariate distributions, change of variable technique, chi-square distribution, estimation, confidence intervals, hypothesis testing, contingency tables, goodness of fit. Practical applications are used to aid in the development.
1c-0l-1sh This course provides an introduction to the actuarial profession and helps the student prepare for the first actuarial examinations. The examination preparation consists of studying sample actuarial examinations and related material. The student is required to take the actuarial examination. The student should be aware that for most students, considerable study beyond the requirements of this one-credit course will be required in order to pass the actuarial examinations.
3c-0l-3sh Using computer programs, a wide array of statistical procedures for educational research workers will be explored. Basic concepts of statistical inference and prediction will be reviewed, including regression analysis and prediction, hypothesis testing, analysis of variance and covariance, and partial and multiple correlation. Emphasis is on use of the computer and interpretation of computer printouts, along with understanding techniques employed. No computer knowledge is necessary.
3c-0l-3sh Directed to the student who is or will be doing quantitative research, commissioning large-scale surveys, and evaluating the results. Sampling techniques and statistical principles underlying their use will be introduced. Consideration to the practical problems associated with implementation.
3c-0l-3sh Examines the function concept as applied to elementary real number functions and graphing techniques for these functions. Topics include real number functions such as absolute value, step, linear, quadratic, and other polynomial functions, trigonometric and other periodic functions, exponential logarithmic functions, and all other inverse functions. Students will examine curricular materials that develop function concepts in Grades K-8.
3c-0l-3sh Study of set theory, real number system, functions topology of Cartesian space, sequences, convergence and uniform convergence, continuity, and uniform continuity.
3c-0l-3sh Includes the study of convergence sequences in Rn, global properties of continuity, uniform continuity, differentiation of Rn, Riemann integrals, and infinite series.
each 3c-0l-3sh Introduction to the theory of functions of a complex variable: topics included are elementary functions, analytic functions, conformal mapping, integration, series, and application.
Calculus sequence, introductory linear algebra, or permission of instructor
MA 427Introduction to Topology
3c-0l-3sh Study of sets, functions, continuity, compactness, the separation of axioms, and metric spaces; application of topology to analysis is demonstrated.
3c-0l-3sh concepts of programming (knowledge of a particular programming language not required) Considers the types of models that are basic to any simulation and methods for building and using such models. It includes discrete and continuous system simulations, their applications, and an introduction to SLAM II (Simulation Language for Alternative Modeling).
Completion of the calculus sequence; background in statistics and probability, and familiarity with
MA 451Numerical Methods for Supercomputers
3c-0l-3sh Supercomputers make use of special computer architectures—vector and parallel processors—in order to achieve the fastest processing speed currently available. Students will be introduced to these features and will learn how numerical algorithms can be constructed to exploit supercomputers’ capabilities. Students will gain practical experience in programming for the Cray, YMP, in incorporating existing scientific software packages into user-written programs, in submitting remote jobs to the Pittsburgh Supercomputer Center, and in producing animated graphical output to summarize the typically large volume of output data generated by large scientific programs. (Also offered as CO451; may not register for duplicate credit)
3c-0l-3sh Students become acquainted with an informal, intuitive approach to geometry. Activities and materials for teaching geometrical concepts to children are an integral part of the course.
3c-0l-3sh Introduction to topics of elementary number theory including divisibility, prime numbers, factorization, modular arithmetic, problem solving, and place of number theory in the elementary school curriculum. Students will examine many number theory activities which can help to strengthen skills with basic facts in an interesting, nonroutine setting.
3c-0l-3sh Introduction to some of the basic ideas, terminology, and notation of mathematical logic and Boolean algebra as well as games of strategy that involve logic. In addition, an investigation of how logic is taught and used in various programs for the elementary school.
MA 459Computer-related Topics in the Elementary and Middle School
3c-0l-3sh Provides teachers with concepts and techniques necessary to teach computer-related topics to children. Participants will work with elementary school children throughout the semester.
3c-0l-3sh Correlation and regression from applied and theoretical points of view, bivariate and multivariate normal distribution, analysis of variance, nonparametric methods. Practical problems involving statistical techniques and use of computer statistical packages. Knowledge of computer programming is not required.
3c-0l-3sh Concepts of basic algebraic structures such as group, ring, integral domain, field, and vector space are studied within the context of the mathematical maturity of the student. Other topics include relations and functions, polynomials and polynomial equations, systems of equations, and inequalities. Consideration given to development of these concepts in
3c-0l-3sh Development of theory of integral domains, fields, rings, and groups; designed to develop student’s power to think for himself or herself and to improve ability to construct formal proofs.
Other Requirements: 0 Free Electives: 19-23 Total Degree Requirements: 124 Table of Contents | Index of Courses This information is maintained by the Office of the Registrar, with approval from the Uni at 6:25 PM on 7/24/98. versity Senate. Last Modified
Controlled electives: (2) Two courses from list: 6sh MA371, MA421, MA422, MA423, MA424, MA427, MA476, MA477 One of the following two-course sequences: 6-7sh MA342/CO450; MA363/MA364; MA445/MA446 A minimum of three additional semester hours from the list of controlled electives above or the following: MA353, MA425, MA447, MA465, MA481 3sh Other Requirements: 6-12 Computer Science:
var-1-3sh Special topics courses are offered on an experimental or temporary basis to explore topics that are not included in the established curriculum. A given topic may be offered under any special topic identity no more than three times. Special topics numbered 481 are primarily for upper-level undergraduate students.
var-1-3sh Students with interest in independent study of a topic not offered in the curriculum may propose a plan of study in conjunction with a faculty member. Approval is based on academic appropriateness and availability of resources.
var-3-12sh Positions with participating companies or agencies provide students with experience in mathematics-related work under the supervision of the agencies and faculty. Requirements include one to three on-site consultations, two university consultations, completion of progress reports, and presentation of final cumulative paper. Internship credit may not be used in fulfilling math major course requirements. Table of Contents | Index of Courses
