Indiana University of Pennsylvania-Main Campus · Courses
MATH
78 courses with the subject MATH, 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.
UGSS 183 Restriction: May not be taken after successfully completing any course offered by the Department of Mathematical and Computer Sciences without written Mathematical and Computer Sciences Department chair approval. Description: Explores basic mathematical skills with an emphasis on conceptual understanding. Provides foundational knowledge needed for success in
[Appropriate mathematics placement] OR [sophomore standing] OR [permission of the Mathematical and Computer Sciences Department chairperson]
Corequisite
none Restriction: May not be taken after successfully completing a math course with a larger course number (other than MATH 103 or MATH 105 or MATH 117 or MATH 117A) without written Mathematical and Computer Sciences Department chairperson approval.
None Description: Focuses on general algebraic skills required to work with variety of business topics such as personal finance, payroll, precent change, and basic interest calculations. Introduces functions and their graphs, and their use and application in business, with particular emphasis on linear and quadratic polynomials.
MATH 102AFundamentals of Business Mathematics with Integrated Support5
None Description: Focuses on basic algebraic skills required to work with a variety of business topics such as personal finance, payroll, precent change, and basic interest calculations. Introduces functions and their graphs, and their use and application in business, with particular emphasis on linear and quadratic polynomials. Integrates the development and application of effective strategies for learning and applying fundamentals of business mathematics.
MATH 100 Restriction: May not be taken after successfully completing MATH 100 or a higher-level course (other than MATH 101, MATH 150, MATH 214 or MATH 217) without written Mathematical and Computer Sciences Department chair approval. Description: Enhances the basic algebra skills needed to succeed in MATH 100 by developing strategies for understanding and retaining algebraic concepts. Improves algebraic thinking and problem solving. Does not meet Liberal Studies math requirements.
MATH 100 or appropriate placement test score or permission of the Mathematical and Computer Sciences Department chairperson.
Corequisite
none Restriction: none. Description: Analyzes and interprets numerical, graphical, and algebraic representations to model complex situations using mathematical structures and increase problem-solving skills. Focuses on polynomial, exponential, and logarithmic functions, and basic right triangle trigonometry. Cross-Listed: No
Appropriate mathematics placement or permission of the Mathematical and Computer Sciences Department chairperson.
Corequisite
none Description: Analyzes and interprets numerical, graphical, and algebraic representations to model complex situations using mathematical structures and increase problem-solving skills. Focuses on polynomial, exponential, and logarithmic functions, and basic right triangle trigonometry. Integrates the development and application of effective strategies and the background mathematical topics necessary for learning and applying the algebraic content.
MATH 108 . A student who has already passed MATH 108 can take 107 alone. Restriction: This course is desinged for majors in Eberly College of Business and MIS-IT majors. Description: Focuses on polynomial, exponential, and logarithmic business models. Explores methods to appropriately analyze and interpret numerical, graphical, and algebraic data sets generated from business applications. Introduces the central ideas of calculus with particular emphasis to business applications of derivatives and integrals. Cross-Listed: No
MATH 107 . A student who has already passed MATH 107 can take 108 alone. Restriction: This course is designed for majors in Eberly College of Business and MIS-IT majors. Description: Focuses on business models and applications in a computer classroom setting where appropriate technology is used to apply concepts from MATH 107 to solve problems in business. Emphasis is given to the application of calculus through the use of mathematical software. Cross-Listed: No
MATH 100 or appropriate placement test score or permission of the Mathematical and Computer Sciences Department chairperson Description: Prepares mathematics and science students for the study of calculus. Topics include detailed study of polynomial, exponential, logarithmic, and trigonometric functions.
MATH 110AElementary Functions with Integrated Support5
Appropriate mathematics placement or permission of the Mathematical and Computer Sciences Department chairperson.
Corequisite
None Description: Prepares mathematics and science students for the study of Calculus. Topics include a detailed study of polynomial, exponential, logarithmic, and trigonometric functions. Integrates the development and application of effective strategies for learning and applying mathematical content intended to prepare students for Calculus.
Mathematics, Applied Mathematics, Actuarial Mathematics, or Mathematics Education major, and less than 60 earned credits. Description: A first-year seminar experience that acclimates students to mathematical culture, curricular,and co-curricular experiences associated with transitioning to college mathematics. Includes application of theories of change as related to transition to higher education, and provides a perspective of the diversity of mathematical areas for research and careers associated with a mathematics degree. Emphasis includes reading and writing about mathematics.
MATH 114Probability and Statistics for Business Majors3
[Appropriate mathematics placement] OR [completion of any MATH course] OR [permission of the Mathematical and Computer Sciences Department chairperson]
Corequisite
None. Restriction: This course is designated for majors in Eberly College of Business and MIS-IT majors. Description: Summarizes and organizes business data using numerical and graphical descriptive statistics. Uses the tools of probability to model and make inferences associated with business populations. Calculates and presents results using Microsoft Excel, Microsoft Word, and Microsoft PowerPoint. Cross-Listed: No
MATH 105 or MATH 110 or appropriate placement test score or permission of the Mathematics Department chairperson Description: A review of elementary functions, including logarithmic and exponential functions. Business majors are introduced to the central ideas of calculus (limit, derivative, and integral). Applications to business and economics are emphasized.
[Appropriate mathematics placement] OR [completion of any MATH course] OR [permission of the Mathematical and Computer Sciences Department chairperson]
Corequisite
None. Restriction: May not be taken after successful completion of another statistics course (MATH 114, 214, 216, 217). Description: Uses basic statistical methodologies to explore data and answer research questions. Summarizes, analyzes and interprets data from the social sciences and other related areas. Topics include frequency distributions, graphical summaries, elementary probability, estimation, testing hypotheses, and correlation and regression. Emphasizes applications using appropriate technology, as opposed to theoretical development of topics. Cross-Listed: No
MATH 117AProbability and Statistics with Integrated Support4
[Appropriate mathematics placement] OR [permission of the Mathematical and Computer Sciences Department chairperson].
Corequisite
None. Description: Explores data and answers research questions using basic statistical methodologies. Summarizes, analyzes, and interprets data from the social sciences and other related areas. Integrates the development and application of effective strategies for learning and applying statistics, with a focus on real-world problem solving using appropriate technology.
MATH 105 or MATH 105A or MATH 110 or MATH 110A or appropriate placement test score or permission of the Mathematical and Computer Sciences Department chairperson.
Corequisite
None Restriction: None Description: Analyzes elementary functions, including logarithmic and exponential functions. Focuses on and interprets the central ideas of calculus, including limit, derivative, and integral. Implements focal concepts to natural and social science applications.
MATH 122Calculus II for Natural and Social Sciences4
MATH 121 Description: Applications of integrals to natural and social sciences, functions of several variables, trigonometric functions, sequences and series, numerical methods, and differential equations.
MATH 125Calculus I/Physics, Chemistry, Mathematics3
MATH 110, MATH 110A, or equivalent placement (algebra, geometry, and trigonometry)
Corequisite
None. Restriction: None. Description: Analyzes functions, limits, continuity, derivatives, applications of the derivative, integrals, and applications of the integral. Implements focal concepts to natural science applications.
MATH 126Calculus II/Physics, Chemistry, Mathematics3
None. Restriction: None. Description: Implements techniques and applications of integration. Analyzes sequences and series, convergence tests, Taylor polynomials, separable differential equations, vectors, and three-dimensional coordinates. Implements focal concepts to natural science applications. Cross-Listed: No
MATH 150Strategies for Success in Collegiate Mathematics1
[Appropriate mathematics placement] or [sophomore standing] or [permission of the Mathematical and Computer Sciences Department chairperson]
Corequisite
None. Restriction: Appropriate major: special education, speech and language pathology, family and consumer sciences education, art education, human development and family science, early childhood education, early childhood/special education, or vocational-technical education. Also, students seeking a certificate in vocational-technical education, or career and technical education, AAS. Description: Explores mathematical systems, systems of numeration, develops the set of integers, rational numbers, real numbers, and the four function operation concepts. Cross-Listed: No
MATH 151 Description: Explores some of the basic algebraic concepts including the real number system and solving linear equations and inequalities with one and two variables. An emphasis will also be placed on studying the coordinate plane, exploring the slope of a line, graphing lines, and writing equations of lines. Connections are made with the teaching and learning of algebraic concepts in the elementary and middle schools.
Appropriate placement score OR MATH 110 OR MATH 110A OR MATH 121 OR MATH 125
Corequisite
None Restriction: None Description: An introduction to vector spaces, linear transformations, determinants, and matrix algebra. Topics are presented in a direct and intuitive approach.
MATH 216Probability and Statistics for Natural Sciences3
None. Restriction: None. Description: Uses numerical and graphical statistics to summarize and organize data commonly found in the natural sciences. Applies the tools of probability and calculus to model and make inferences for parameters in populations. Emphasizes the use of statistical computer software for analyzing data. Cross-Listed: No
MATH 225Calculus III/Physics, Chemistry, Mathematics3
MATH 126 or the equivalent Description: The third of a three-semester sequence for math and science majors. Topics covering the calculus of functions of several variables include vector functions and space curves, arc length, curvature, partial derivatives, gradients, areas and volumes in various coordinate systems, Lagrange multipliers, line integrals, Green’s Theorem, and applications of multiple integrals. (Trigonometric, exponential, and logarithmic functions are included.)
None Restriction: None Description: Explores basic ideas necessary to prove results in mathematics. Includes but is not limited to logic of mathematics, basic methods of proof, algebra of sets, relations and partitions of sets, functions, and mathematical induction.
MATH 126 and MATH 271 with a grade of “C” or better Description: 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.
As appropriate to course content Description: Offered on an experimental or temporary basis to explore topics 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.
CMSC 110 and MATH 121 or MATH 125 Description: Topics include set algebra, mappings, relations, semigroups, groups, directed and undirected graphs, Boolean algebra, and propositional logic, with examples and applications of these various areas of computer science. Emphasizes developing an intuitive understanding of basic structures rather than formal theories and influence of these topics on theory and practice of computing. Previously Offered As: (Offered as MATH 219 before 2016-17.)
Mathematics education major or MATH 152 , sophomore standing Description: Introduces concepts of probability and statistics by exploring and discovering key ideas related to data analysis and making predictions. Appropriate technology is incorporated. Explores curricular materials, resources, and activities relevant to teaching diverse groups at the middle and secondary levels.
grades of “C” or better in MATH 152 and ECED 200 , may not be taken concurrently Description: Studies child-centered, activity-oriented mathematics programs for early childhood education (preK-grade 1). Focuses on helping children develop understanding and insight into basic concepts of mathematics through the use of manipulative materials.
MATH 330Teaching Mathematics in the Elementary School3
ECED 280 minimum grade of C and MATH 152 with a minimum grade of C. May not be taken concurrently. Description: Explores materials and methods for teaching mathematics in the elementary grades with emphasis on creative utilization of manipulatives and techniques. Investigates ways of assessing student math knowledge and skills through a student-centered, inquiry approach.
MATH 335Teaching Mathematics in Special Education2
SPED 111 minimum grade of C and MATH 152 minimum grade of C. May not be taken concurrently. Description: Explores effective classroom methods and strategies for assessing, teaching, and monitoring the mathematical performance of students with learning difficulties. Emphasis on practical classroom techniques designed to facilitate skill acquisition, maintenance, retention, and generalization.
MATH 122 or MATH 126 Description: Emphasizes techniques of solution and applications of differential equations. Topics include first order equations, second order linear equations, systems of linear equations, and series solutions of differential equations. Previously Offered As: (Offered as MATH 241 before 2016-17.)
None Restriction: None Description: Applies advanced mathematics to problems of science. Identifies the three phases of such an application and develops skills necessary to carry out each step: a) translation of the given physical information into a mathematical model; b) treatment of the model by mathematical methods; c) interpretation of the mathematical result in physical terms. Investigates topics including vector analysis, Taylor and Fourier series, partial differential equations and their applications. Cross-Listed: No
CMSC 110 , MATH 121 or MATH 125 Description: Algorithmic methods for function evaluation, roots of equations, solutions to systems of linear equations, function interpolation, numerical differentiation, and integration and use of spline functions for curve fitting. The focus is on managing and measuring errors in computation. May also be offered as COSC 343; either MATH 343 or COSC 343 may be substituted for the other and may be used interchangeably for D/F repeats, but may not be counted for duplicate credit. Cross-Listed: May be cross-listed with COSC 343.
none Restriction: None Description: Development of the central concepts of mathematics from ancient times up to the development of calculus in the 17th century. Mathematical concepts are placed in historical perspective. The use of the history of mathematics as a pedagogical tool and its relationship to other sciences is addressed.
MATH 271 with a grade of “C” or better Description: Divisibility, congruences, primitive roots, number theoretic functions, Diophantine equations, continued fractions, quadratic residues.
MATH 171 , MATH 271 with grades of “C” or better Description: 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.
MATH 216 ; MATH 225 Description: 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. May Be: (may be taken concurrently)
MATH 363 Description: 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.
MATH 171 , MATH 271 with a grade of “C” or better Description: Vector spaces and linear transformations are studied in a theoretical setting. Also, canonical forms and multilinear algebra are studied.
None Restriction: None Description: Examines topics in analysis and topology. Explores topological topics, restricted to the real line, including open/closed sets, interior and boundary points, metrics, compactness and connectedness. Investigates topics in analysis including convergence of sequences, convergence of functions, continuity and uniform continuity, differentiation, and Riemann integration.
MATH 405Topics in Abstract Algebra and Number Theory3
None Restriction: None Description: Examines topics in Abstract Algebra and Number Theory. Explores, beginning with Number Theory, topics including division algorithm, Fundamental Theorem of Arithmetic, Euclidean algorithm, and the Chinese Remainder Theorem. Considers concepts in Abstract Algebra, including groups, rings, and fields.
MATH 114 or MATH 117 or MATH 117A or MATH 216 or instructor permission
Corequisite
None Restriction: None Dual Listed: MATH 511 Description: Analyzes univariate data using general linear and generalized linear regression models to draw meaningful conclusions in scientific and professional settings. Develops ability to write clear statistical summaries and reports that communicate findings and limitations to applied research audiences. Applies statistical software to perform analyses, generate reproducible tables and visualizations, and communicate quantitative results effectively.
MATH 114 or MATH 117 or MATH 117A or MATH 216 or instructor permission
Corequisite
None Restriction: None Dual Listed: MATH 512 Description: Analyzes relationships among multiple variables using multivariate statistical methods to interpret complex data arising in scientific and professional settings. Develops ability to write clear statistical summaries and reports that communicate findings and limitations to applied research audiences. Applies statistical software to perform analyses, generate reproducible tables and visualizations, and communicate quantitative results effectively.
Mathematics education major or MATH 152 , senior standing Dual Listed: May be dual listed with MAED 513 Description: Examines the current curricula and methods of instruction used in middle and secondary level mathematics classrooms. Follows an investigative approach to middle-level and secondary mathematics instruction through hands-on activities that are standards based. Explores methods of teaching in diverse classrooms and teaching students with special needs.
MATH 415Understanding New Insight Through Exploration (UNITE) Seminar0
MATH 363 or MATH 411 or ECON 356 or instructor permission Description: Applied statistics course in the analysis and forecasting of time series data. Linear time series regression models, ARIMA models, SARIMA models, GARCH models, and spectral theory are used to examine time series data. Emphasizes the applied aspects of these models. Computer software is used for data analysis.
MATH 152 Description: Examines and develops expertise with sequences, patterns, and functions, including linear, quadratic, logarithmic, exponential, and trigonometric functions. Appropriate technology is incorporated. Explores curricular materials, resources, and activities relevant to teaching diverse groups at the elementary/middle level.
MATH 272 with a grade of “C” or better Description: A study of set theory, real number system, functions, topology of Cartesian space, sequences, convergence and uniform convergence, continuity, and uniform continuity.
MATH 421 Description: Includes the study of convergence sequences in Rn, global properties of continuity, uniform continuity, differentiation of Rn, Riemann integrals, and infinite series.
MATH 225 Description: An introduction to the theory of functions of a complex variable. Topics included are elementary functions, analytic functions, conformal mapping, integration, series, and application.
MATH 272 with a grade of “C” or better Description: A study of sets, functions, continuity, compactness, the separation axioms, and metric spaces; application of topology to analysis is demonstrated.
MATH 430Seminar in Teaching Secondary School Mathematics3
Junior status (60cr or more), a declared major in mathematics education
Corequisite
EDUC 242 Description: Provides insights into the teaching and learning of numbers and operations, algebra, geometry, measurement, probability, and statistics. Students become aware of and use the resources and methods of instruction for teaching mathematics at the secondary level. Must be taken within two semesters before student teaching.
MATH 445Deterministic Models in Operations Research3
MATH 122 or MATH 225 ; MATH 171 Description: An introduction to using the basic tools of solving deterministic models in operations research. Includes optimization techniques and applications such as linear programming, nonlinear and dynamic programming, transportation models, and network models. In addition, sensitivity analysis, duality, simplex methods, and integer programming are discussed. Uses technology to solve problems and interpret the results.
MATH 446Probabilistic Models in Operations Research3
MATH 122 or MATH 225 ; MATH 171 ; MATH 216 Description: A survey of probabilistic methods for solving decision problems under uncertainty. Probability review, decision theory, queuing theory, inventory models, and Markov chains are covered. Uses technology to solve problems and interpret the results.
MATH 122 or MATH 126 ; MATH 171 ; MATH 216 Description: Construction and solution of mathematical models. Emphasizes applications in areas such as logistics, natural and social sciences, and manufacturing. Discrete and continuous system models are analyzed using mathematical and computer-based methods. An introduction to computer simulation. An introductory course in differential equations is recommended but not required.
MATH 114 - Probability and Statistics for Business Majors (MATH 121 or MATH 125) and (MATH 114 or MATH 117 or MATH 117A or MATH 216) MATH 216 - Probability and Statistics for Natural Sciences
Corequisite
None Restriction: None Dual Listed: MATH 548 Description: Undertakes a rigorous mathematical treatment of the theory associated with financial transactions. Uses geometric series and other concepts to construct mathematical models for analytically pricing various financial securities based on the time value of money. Explores how to construct mathematical models for pricing cash flows and the equivalency of different cash flows. Includes a detailed study of interest theory and financial economics. Prepares students for the Society of Actuaries Financial Mathematics (FM) exam.
MATH 450Topics in Applied Computational Mathematics3
MATH 171 , MATH 225 , and CMSC 343 / MATH 343 or instructor permission Description: Focuses on using computational methods to solve applied mathematics problems. Content varies from year to year. Students gain experience in solving practical problems, using various mathematical software packages, giving oral presentations, preparing technical reports, reading field-related journals, and integrating scientific visualization.
Sophomore standing Restriction: Enrolled in mathematics education Description: Students become acquainted with an informal, intuitive approach to geometry. Activities and materials for teaching geometrical concepts to students are an integral part of the course.
MATH 457Number Theory for Mathematics Instruction3
Sophomore standing Restriction: Enrolled in mathematics education Description: An introduction to topics of elementary number theory including divisibility, prime numbers, factorization, binary numbers, modular arithmetic, identification codes, cryptography, Diophantine equations, Euclidean algorithm, and alternative algorithms. Explores curricular materials, resources, and activities relevant to teaching number theory at the middle and secondary levels.
MATH 458Logic and Logical Games for Elementary/Middle-Level Teachers3
MATH 152 Description: Basic ideas, terminology, and notation of mathematical logic as well as games of strategy that involve logic. Engages in methods of reasoning and proof in games and in mathematics content. Explores curricular materials, resources, and activities relevant to teaching logic and reasoning at the elementary/middle level.
MATH 459Technology in Elementary/Middle-Level Mathematics Instruction3
MATH 152 Description: Develops the knowledge, skills, and perspectives required for using educational technology in teaching mathematics at the elementary/middle level. Hands-on experiences with technology are an important focus.
Sophomore standing Restriction: Enrolled in mathematics education Description: Provides preservice mathematics teachers with expertise in instructional technology for teaching mathematics. Emphasizes the integration of pedagogy and subject matter knowledge.
MATH 461Discrete Mathematics for Mathematics Instruction3
Sophomore standing Restriction: Enrolled in mathematics education Description: Topics in discrete mathematics, including systematic counting, graph coloring, networks, and their applications, as well as the historical background and the role of discrete mathematics in today’s world. Uses a problem-solving, hands-on approach to content. Explores curricular materials, resources, and activities relevant to teaching discrete mathematics at the middle and secondary levels.
Sophomore standing Restriction: Enrolled in mathematics education Description: Topics include multiple representations of sequences, integers, expressions, equations, systems of equations, inequalities, and matrices. Representations of expressions and equations are explored through the use of hands-on and visual aids and with appropriate technology. Connections are made with the teaching and learning of algebraic concepts.
MATH 272 with a grade of “C” or better Description: 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.
MATH 476 Description: Continues study of algebra by use of axiomatic method; Euclidean domains; polynomial domains and extension fields included; interrelationships between these structures and simpler structures, particularly groups and rings, are developed as in study of Galois group of a polynomial and in an introduction to Galois theory.
Junior standing (60 or more credits) Description: Assesses the effectiveness of the mathematics curriculum and provides mathematics majors with a culminating mathematical experience. Also focuses on synthesizing mathematics skills while researching, developing, and presenting a mathematical topic. Students solve practical problems,use various mathematical software packages, give oral presentations, and prepare technical reports.
None Restriction: As appropriate to course content Dual Listed: MATH 681 Description: Offered on an experimental or temporary basis to explore topics 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.
Completion of core curriculum, completion of application Description: 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 mathematics major course requirements.
Source: Indiana University of Pennsylvania-Main Campus's catalog, linked per course · table learning_unit · CourseShelf publish 59
