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Pennsylvania Western University · Courses

MATH

43 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.

MATH 1010Quantitative Reasoning3

This course provides study in mathematical representations and problem solving. Students analyze and solve problems in areas such as set theory, mathematics of finance, probability, and statistics. Students will apply mathematics to build financial strategies as they make purchases and investments throughout their lives.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 1020Survey of Mathematics3

This course will cover how to apply mathematics to real world situations such as determining methods of voting and apportionment, finding the shortest path between two vertices, scheduling meetings, determining the best return on investments, and collecting data to show patterns.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 1030Mathematics for Health Sciences3

This course will prepare health science students for the mathematics applications within the healthcare field and certification exams. Topics include: algebra (fractions, ratios, proportions, percentages), relationships among systems of measure, scientific notation, logarithms, calculation of dosages, basic geometry, graphing, and statistics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 1040Mathematics of Finance3

This course introduces the mathematics of personal finance. It is intended to serve as a lifelong basis for wise money management. Topics include simple interest, compound interest, annuities (car payments, mortgage payment, or any series of equal payments), annuity factors, amortization tables, investments (stocks and bonds), and spreadsheets.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 1200 or MATH 1010 or ALEKS placement test
MATH 1110Mathematics for Teachers I3

This course helps students develop a deep understanding of the underlying concepts of elementary school mathematics. Topics include number systems, set theory, an extension of the natural numbers, algorithms for performing operations, various numerations systems, number theory, equations, and functions. This is the first in a two-part series.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 1200Corequisite Intermediate Algebra4

This course helps students prepare for more advanced mathematics courses. The topics include: polynomial, rational, and radical expressions (with an emphasis on algebraic manipulations and the solving of equations), exponents, and graphing. (Course does not count as General Education. Credit cannot be received for both this course and MATH 1210 .)

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 1210Intermediate Algebra3

This course helps students prepare for more advanced mathematics courses. The topics include: polynomial, rational, and radical expressions (with an emphasis on algebraic manipulations and the solving of equations), exponents, and graphing. (Course does not count as General Education. Credit cannot be received for both this course and MATH 1200 .)

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
ALEKS placement test
MATH 1220College Algebra3

This course develops properties of functions and their applications. Topics include rational expressions, linear equations, complex numbers, functions and their graphs, linear and quadratic inequalities, systems of equations, exponential functions, and logarithmic functions.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 1210 or MATH 1200 or ALEKS placement test
MATH 1230Trigonometry3

This course introduces the trigonometric and circular functions along with their relationships and applications. It includes graphing of functions, trigonometric identities, trigonometric equations, inverse trigonometric functions, and the solution of triangles.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 1220 with a C- or better, or ALEKS placement test
MATH 1410Precalculus4

This course provides the background necessary for the successful study of calculus. Topics include: analyzing polynomial, rational, trigonometric, and exponential functions with their graphs and applications. Radical/root/power functions and conic sections are also explored. (This course fully covers material from both MATH 1220 and MATH 1230 .)

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
ALEKS placement test
MATH 1510Discrete Structures3

This course covers the theories and structures of mathematics needed for the study of computer science. Topics include: set theory, formal logic, introduction to proof writing, mathematical induction, Boolean algebra, number theory, matrix algebra, combinatorics, sequences and summations, and graph theory.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
Math placement of MATH 1220 (C- or higher) or MATH 1230 (C- or higher) or MATH 1410 (C- or higher) or MATH 2320 (C- or higher) or MATH 2410 (C- o r higher) or MATH 2420 (C- or higher)
MATH 1610Informal Geometry3

This course explores the fundamental properties of Euclidean and non-Euclidean geometry to gain a deeper understanding of the underlying principles involved, as well as applications. Topics include: points, line, geometric shapes in two and three dimension, measurement, similarity and congruence, proof techniques, and geometry in nature and art.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 1010 or MATH 1020 or MATH 1110 or MATH 1410 or ALEKS placement test
MATH 2070Data Preparation and Cleaning3

This course provides students with an introduction to the need for and methods for data cleaning. The course presents methods for locating and handling invalid values, out-of-range values, and missing values along with methods for managing datasets. The course uses SAS software.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 2120Mathematics for Teachers II3

This course develops mathematical topics drawn from the areas of data analysis, measurement, geometry, probability, and statistics. It promotes the development of a deep understanding of the underlying concepts of these topics while maintaining an appropriate level of mathematical precision. This course is the second in a two-part sequence.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 1110 with a C- or better
MATH 2130Data Visualization3

This course explores techniques and tools for creating effective data visualizations. The course covers the creation and exploration of visualizations for categorical data, time series data, spatial and geospatial data. SAS software will be used for this course.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 2320Essentials of Calculus3

This course introduces the fundamental concepts of differential and integral calculus, emphasizing applications from business, economics, biological science, and the social sciences through an intuitive approach. It includes derivatives and their applications, integrals and their applications, and integration techniques.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 1220 with a C- or better
MATH 2410Calculus I4

This course introduces the student to the theory and applications of the concepts of limit, continuity, derivatives, and integration, with a focus on various functions, including polynomial, rational, trigonometric, and transcendental.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 1230 with a C- or better, or MATH 1410 with a C- or better, or ALEKS placement test
MATH 2420Calculus II4

This course is a continuation of Calculus I. Students will learn techniques and applications of integration, improper integrals, infinite sequences and series, polar coordinates and parametric form.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2410 with a C- or better
MATH 2510Big Data Tools3

This course covers an introduction to big data analysis tools. The course provides an overview of SAS, Hadoop and other big data tools. The course covers the structure and framework of data analytic tools and covers the use of these tools to perform various analyses.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 2610Big Data Analytics3

This course is intended to provide the student with an introduction to big data, big data analytics and several methods useful in big data analytics such as clustering, association rules and various forms of regression. SAS statistical software will also be introduced and used to solve data problems.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 3000Foundations of Mathematics3

This course is a rigorous approach to the study of the fundamental proof techniques in mathematics. It will introduce different methods for constructing proofs, including direct proofs, contradiction, contrapositive, and induction. Students will utilize these techniques to construct proofs in a variety of mathematical content areas.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2410 (Calculus I) with a C- or better
MATH 3210Linear Algebra I3

This course provides an introduction to the theory of linear algebra, emphasizing computations, basic proof techniques, and applications. It covers systems of linear equations, matrices, vector spaces and and subspaces, determinants, linear transformations, bases and dimensions, eigenvalues and eigenvectors, and diagonalization.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2320 or MATH 2410 with a C- or better
MATH 3430Calculus III4

This course in multivariable calculus continues Calculus II. Students will solve multi-step problems using two and three dimensional vectors, solid analytic geometry, functions of several variables, multiple integration, and an introduction to vector calculus leading to Green’s theorem, the divergence theorem, and Stokes’ theorem.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2420 with a C- or better
MATH 3440Differential Equations3

This course introduces the basic concepts, theory methods, and applications of differential equations. Topics include exact equations, linear and nonlinear equations, systems of linear equations, numerical methods, and applications of differential equations in science and engineering.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2420 with a C- or better
MATH 3520Advanced Discrete Mathematics3

This course will introduce students to advanced topics in discrete mathematics including solving recurrence relations, counting rules, elements of graph theory, and trees. There will be an emphasis on theoretical aspects of discrete mathematics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3000 with a C- or better
MATH 3610College Geometry3

This course develops an axiomatic treatment of Euclidean geometry and introduces topics in non-Euclidean geometry. It focuses on the historical work on the parallel postulate, and it emphasizes rigorous proof and logical methods.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3000 with a C- or better
MATH 3620History of Mathematics3

This course covers the historical roots of elementary mathematics: arithmetic, algebra, geometry, and number systems. It discusses the origins of many topics in the elementary and high school mathematics curricula. It considers this history as a part of a cultural heritage and is particularly appropriate for the prospective teacher of mathematics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3000 with a C- or better
MATH 3710Number Theory3

This course will cover various theorems, algorithms, applications, and open questions in number theory. This course is a blending of the theoretical and computational components of number theory. The core topics will include divisibility, primes, and congruences and will expand upon these concepts from discrete mathematics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3000 with a C- or better
MATH 3810Mathematical Interest Theory3

This course prepares students for actuarial Exam FM. Emphasis is on calculating present and accumulated values for various streams of cash flows: reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent cash flows. Topics include time value of money, annuities, loans, bonds, and rates.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2410 with a C- or better
MATH 3990Special Topics in Mathematics3

This course will focus on a specific topic in Mathematics suitable for advanced students. The content will vary from semester to semester according to interests of the students and faculty. Students may repeat this course up to three times for different topics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3000 with a C- or better
MATH 4000Mathematical Modeling3

This course covers the formulation, analysis, and interpretation of mathematical models in the natural sciences, the social sciences, industry, and medicine. Students will gain familiarity with problem-solving techniques employed throughout applied mathematics and a wide variety of disciplines.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2410 with a C- or better
MATH 4010Data Analysis Capstone Project3

This course is designed for the certificate in Data Science to provide hands-on experience in the area of data science. This experience will enable students to apply their knowledge of data science and provide valuable experience in the application of methods studied within the program that should enhance their job opportunities upon graduation. Students will receive experience with real world data. Analysis will be completed using SAS.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
MATH 4220Linear Algebra II3

This course gives a rigorous development of the basic theory of linear algebra by building upon the concepts introduced in

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3210 with a C- or better and MATH 3000 with a C- or better
MATH 4260Abstract Algebra I3

This course will provide the student with an introduction to the topics of abstract algebra, including groups, rings, and fields. In addition, this course will further develop the student’s problem-solving skills and ability to follow and to construct a rigorous mathematical proof.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3000 with a C- or better and MATH 3210 with a C- or better
MATH 4270Abstract Algebra II3

This course continues the development of algebraic themes introduced in MATH 4260 . Topics include groups, rings, fields, vector spaces, and/or modules.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 4260 with a C- or better
MATH 4280Topology3

This course is an introduction to point-set topology. Topics to be included are topological spaces, continuous functions, open sets, closed sets, compact sets, and connectivity. Various applications of these topics will be explored.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3430 with a C- or better and MATH 3000 with a C- or better
MATH 4310Numerical Methods I3

This course covers numerical methods in polynomial interpolation, root finding of nonlinear equations, numerical integration and differentiation, approximation of functions and curve-fitting, and numerical linear algebra. Computer implementation of numerical methods will be used.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 2420 with a C- or better
MATH 4320Numerical Methods II3

This course covers numerical methods in the solution of ordinary and partial differential equations, numerical differentiation, Runge-Kutta methods, iterative methods for ordinary differential equations, and finite differences for partial differential equations.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 4310 with a C- or better
MATH 4410Real Analysis I3

This course introduces the basic theory underlying the calculus of a function of a single variable. It develops a deeper appreciation and understanding of several important definitions and theorems in calculus. The emphasis is on examples and appropriate proof techniques.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3000 with a C- or better and MATH 3430 with a C- or better
MATH 4420Real Analysis II3

This course is a continuation of

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 4410 with a C- or better
MATH 4450Complex Analysis3

This course covers the basics of analysis over the complex numbers. It develops the analogues to differentiable and integrable functions from real analysis in the new setting with startlingly different results. The course emphasizes both computation and appropriate techniques of proof.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3430 with a C- or better and MATH 3000 with a C- or better
MATH 4900Senior Mathematics Seminar3

The senior capstone experience is designed to encourage several aspects of independent research, foster communication skills, and prepare students for successful careers in mathematics. Students will investigate various career paths in mathematics, produce professional documents, conduct research and present their research in written and oral form.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
MATH 3430 ; and one of these ( MATH 3610 or MATH 4260 or MATH 4410 or STAT 3010 ) with a C- or better in all
MATH 4950Internship in Mathematics1-12

This course is tailored for Mathematics majors and those pursuing a Mathematics degree with an Actuarial Science concentration. It offers students the opportunity to gain practical experience in the field of Mathematics or Actuarial Science, applying their academic knowledge to real-world situations. By completing this internship, students can enhance their job prospects upon graduation through valuable hands-on experience.

Subject
MATH
Credits (min)
1
Credits (max)
12
Credit unit
Credit Hours
Type
course
Edition
2026-2027
Catalog
2026-2027 Undergraduate Catalog
Source
catalog.pennwest.edu
Prerequisite
Junior standing OR department leadership permission. Advanced Coursework: ADV

Source: Pennsylvania Western University's catalog, linked per course · table learning_unit · CourseShelf publish 59