Courses | BS Mathematics | Undergraduate | Indiana Wesleyan University

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Courses

One of the best ways to discover a degree program is to check out the course listings. By simply clicking on the course titles below, you can get a preview of the classes you will attend as a student at Indiana Wesleyan University.

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MAT-223   Introduction to Mathematics Via Discrete Processes3 Hours
An introductory mathematics course designed to raise awareness of the mathematics discipline and acquaint students with a range of intellectual and professional activities within the mathematical science community. The mathematical content of the course focuses on discrete processes. Topics include set theory, logic and proof, mathematical induction, combinatorics, and graph theory. Open to mathematics and mathematics education majors as well as others interested in mathematical career possibilities.
MAT-253   Calculus I4 Hours
An introduction to differential and integral calculus of a single variable using polynomial, logarithmic, exponential and trigonometric elementary functions. A study of the concepts of limit, continuity, derivative, and integral using interdisciplinary applications and computer software. Prerequisite: MAT-120 or equivalent or permission of the Division.
MAT-254   Calculus II4 Hours
Differential and integral calculus with applications in area, volume, and surfaces. Additional topics of study include techniques of integration, parametric equations and polar coordinates, and infinite series representation of functions. Prerequisite: MAT-253 or equivalent.
MAT-255   Calculus III4 Hours
A study of multivariable calculus including continuity and differentiability of functions of several variables, partial derivatives, extrema, multiple integrals, line integrals, surface integrals, and Stoke's Theorem. Prerequisite: MAT-254 or equivalent.
MAT-280   Linear Algebra3 Hours
An introduction to the theory and application of linear algebra. Topics include systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, and linear transformations. Prerequisite: MAT-253.
MAT-342   Number Theory3 Hours
A study of the theory of numbers that includes concepts about the fundamental theorem of arithmetic, theory of prime numbers, Diophantine equations, congruences, Euler's Theorem, and number theoretic functions. Prerequisite: MAT-223.
MAT-344   Modern Abstract Algebra3 Hours
An introductory study of significant algebraic structures and their properties. Introduction to group theory including cyclic groups, permutations, Lagrange's Theorem, product groups, First Isomorphism Theorem, and Finite Abelian Groups. Introduction to rings and fields, including polynomial rings and factorization. Prerequisite: MAT-342.
MAT-353   Differential Equations3 Hours
A study of ordinary differential equations including classification, theory and common solution techniques of linear equations, basic numerical and qualitative methods, power series solutions, Laplace transform methods, linear systems, and applications. Prerequisites: MAT-254 and MAT-280.
MAT-363   Mathematical Statistics I3 Hours
An introduction to the theory of probability and statistics using basic concepts of probability andits laws, probability distributions for dis crete and continuous random variables, mathematical expectation, and sampling theory. Multivariate probability distributions are examined, along with methods of distribution functions, transformations and moment-generating functions. Prerequisites: MAT-255.
MAT-456   Elementary Real Analysis3 Hours
A theoretical study of single variable calculus. Topics include the real number system, sequences, limits, continuity, derivatives, Riemann integrals, and convergence of series. Emphasis will be placed on understanding, writing, and communicating proofs. Prerequisite: MAT-255.
MAT-481   History & Foundations of Mathematics3 Hours
A classical historical approach to the study of the foundations of mathematics. Contributions of ancient cultures such as the Egyptians, Babylonians, Greeks, Chinese, Hindus and Arabs are considered, as well as the transmission of mathematics into Europe from antiquity through the twentieth century. A comprehensive overview of the various branches of mathematics, such as number theory, logic, geometry, analysis, probability, and statistics is given using concrete applications and high level abstract thinking. Prerequisite: MAT-342.
MAT-490   Math Senior Seminar2 Hours
A capstone course designed to integrate Christian faith, mathematics, philosophy, and other disciplines. Emphasis will be placed on researching and presenting advanced topics in mathematics. The relationships between the world changing mission of the university, truth, and the student's mathematical career will also be explored. The Major Field Achievement Test in Mathematics will be administered. Prerequisite: Senior standing in a major offered through the Mathematics Department.
38 credit hours
Choose one of the following:
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MAT-475 Independent Learning-Mathematics1-3 Hours
Individually arranged reading, problem solving, or research in higher mathematics or statistics. Prerequisite: Approval of department.
MAT-495 Research in Mathematics1-4 Hours
Students will engage in a research project in conjunction with a faculty member. Designed for mathematics majors who plan on graduate level work. This course may be repeated for up to 4 credits total. Prerequisite: At least sophomore standing and permission of instructor.
Choose one of the following:
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MAT-444   Advanced Algebra3 Hours
A continuation of MAT-344 Modern Abstract Algebra. Topics include advanced group theory, theory of factorization, extension fields, Galois theory, and selected applications. Prerequisite: MAT-344.
MAT-455   Point Set Topology3 Hours
A study of metric spaces and general topological spaces. Continuity, connectedness, compactness, separation, completions, product spaces, and quotient spaces. Prerequisite: MAT-255.
MAT-457   Complex Variables3 Hours
An introduction to functions of a single complex variable. Topics include complex numbers, analytic and harmonic functions, mappings, integration techniques and theory, series, and residues. Prerequisite: MAT-255.
46-48 credit hours
Choose one additional MAT elective from the following: 322, 324, 333, 364, 373, 396, 444, 446, 455, or 457.

Required Supporting Courses
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CIS-125 Introduction to Computer Sciences I3 Hours
This course combines classroom instruction with weekly, supervised laboratory work to teach an introduction to computer science including structure programming. Special attention is given to the study of problem-solving processes in the context of algorithmic development. Programming topics include text processing, mathematical manipulation, array processing and code reading. Overview treatment of the history of computing and other general computer science topics like the binary numbering system, data storage, and operating systems will be covered. Meets the general education math/computer requirement. Prerequisite: Satisfactory completion of the mathematics preparatory requirement.
PHY-221 University Physics I4 Hours
Calculus-based introductory physics covering kinematics, dynamics, statics, introductory rotational motion, waves, harmonic motion, and basic heat and thermodynamics. Prerequisite or co-requisite: MAT-253 or equivalent. Co-requisite: PHY-221L.
7 credit hours
Mathematics Minor
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MAT-223   Introduction to Mathematics Via Discrete Processes3 Hours
An introductory mathematics course designed to raise awareness of the mathematics discipline and acquaint students with a range of intellectual and professional activities within the mathematical science community. The mathematical content of the course focuses on discrete processes. Topics include set theory, logic and proof, mathematical induction, combinatorics, and graph theory. Open to mathematics and mathematics education majors as well as others interested in mathematical career possibilities.
MAT-253   Calculus I4 Hours
An introduction to differential and integral calculus of a single variable using polynomial, logarithmic, exponential and trigonometric elementary functions. A study of the concepts of limit, continuity, derivative, and integral using interdisciplinary applications and computer software. Prerequisite: MAT-120 or equivalent or permission of the Division.
MAT-254   Calculus II4 Hours
Differential and integral calculus with applications in area, volume, and surfaces. Additional topics of study include techniques of integration, parametric equations and polar coordinates, and infinite series representation of functions. Prerequisite: MAT-253 or equivalent.
MAT-280   Linear Algebra3 Hours
An introduction to the theory and application of linear algebra. Topics include systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, and linear transformations. Prerequisite: MAT-253.
MAT-322   Mathematical Modeling I4 Hours
An introduction to the principles and process of mathematical modeling. This course incorporates several projects in which students model open-ended scenarios from various disciplines. Relevant mathematical techniques, such as curve-fitting and optimization, are included on an as-needed basis. Various software packages and lab experiments are also incorporated. Prerequisite or corequisite: MAT-280.
24-26 credit hours
Students also choose two additonal MAT courses numbered 253 or higher.

Statistics Minor

Core Courses
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MAT-204 Applied Statistics I3 Hours
An in-depth introduction to descriptive and inferential statistical procedures including graphical and numerical data summary, basic principles of sampling and experimental design, random variables and probability distributions, estimation and hypothesis testing, contingency table analysis, and correlation and regression. Emphasizes conceptual understanding of statistical procedures and their implementation using statistical software. Prerequisite: Math SAT above 460 (Math ACT above 18) or a grade of "C" or above in MAT-104. Students may not earn credit in more than one of MAT-100, MAT-112, or MAT-204.
MAT-304 Applied Statistics II3 Hours
A continued study of estimation and hypothesis testing procedures from Applied Statistics I. Topics include simple, multiple, and logistic regression analysis of variance and covariance; and nonparametric procedures. Prerequisite: MAT-204.
Electives*

Students choose four electives from the following. MAT-130 and MAT-253 may not both be taken. Only one elective may also be applied toward a major in the Mathematics department.
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MAT-130   Applied Calculus3 Hours
Students will use derivatives and integrals on applications for business and science. This course provides classroom based lecture format. Intended for non-mathematics majors. A student may not earn credit in both MAT-130 and MAT-253. Prerequisite: MAT-113 or equivalent or permission of the division.
MAT-253   Calculus I4 Hours
An introduction to differential and integral calculus of a single variable using polynomial, logarithmic, exponential and trigonometric elementary functions. A study of the concepts of limit, continuity, derivative, and integral using interdisciplinary applications and computer software. Prerequisite: MAT-120 or equivalent or permission of the Division.
MAT-322   Mathematical Modeling I4 Hours
An introduction to the principles and process of mathematical modeling. This course incorporates several projects in which students model open-ended scenarios from various disciplines. Relevant mathematical techniques, such as curve-fitting and optimization, are included on an as-needed basis. Various software packages and lab experiments are also incorporated. Prerequisite or corequisite: MAT-280.
MAT-324   Mathematical Modeling II4 Hours
The development and extension of the modeling process using higher level mathematical concepts in calculus and differential equations. Problem-solving techniques for finding solutions to open-ended scenarios are discussed, developed, and demonstrated by the students using the modeling process, and statistical computer software. Interdisciplinary applications beneficial to both mathematics and science majors. For some students, an opportunity to participate in COMAP contest. Prerequisite: MAT-254 or equivalent.
MAT-363   Mathematical Statistics I3 Hours
An introduction to the theory of probability and statistics using basic concepts of probability andits laws, probability distributions for dis crete and continuous random variables, mathematical expectation, and sampling theory. Multivariate probability distributions are examined, along with methods of distribution functions, transformations and moment-generating functions. Prerequisites: MAT-255.
MAT-364   Mathematical Statistics II3 Hours
A continued study of the theory of probability and statistics covering sampling distributions, The Central Limit Theorem, methods of estimation, and hypothesis testing. Analysis of variance and chi-square will be derived theoretically and then applied to various designs of experiments. Prerequisite: MAT-363.
MAT-370   Statistical Research Design I3 Hours
An introduction to experimental design using statistical inference as the basis for applying statistical tests to various parameters. Design of experiments will include single factor experiments using analyses of variance, randomized block and Latin Square Designs. Factorial experiments will be explored in depth, and regression techniques will be extended to include multiple regression. Prerequisite: MAT-304.
MAT-371   Statistical Research Design II3 Hours
A continuation of experimental design reinforcing elementary models and including complex design methods. Topics will include fixed, random and mixed models, nested experiments, and covariance analysis. A survey of factorial experiments will include split-plot designs, confounding and replication. Prerequisite: MAT-370.
Alternatively, three electives may be chosen from the above and one from the following:
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ACC-201   Accounting Principles I3 Hours
Emphasizes the process of generating and communicating accounting information in the form of financial statements to those outside the organization. No prerequisite.
BUS-100   Foundations of Business3 Hours
An overall view of the business field including the business environment; organization, management, and operating problems of the enterprise; financial management and the risk function; and the marketing function. No prerequisite.
CIS-126   Introduction to Computer Sciences II3 Hours
This course continues the development of programming skill using a combination of classroom instruction together with weekly supervised laboratory work each week to stress problem solving through computer programming. Algorithms for information retrieval, file handling, sorting, searching, dynamic storage, allocation and introductory data structures are presented. Good algorithm design, style, program structure, documentation code reading, and introductory software engineering techniques are emphasized. Additional topics include the branches of study in the discipline of computer science, as well as coverage of social and ethical implications of current and future development in computer usage. Meets the general education math/computer requirement. Prerequisite: CIS-125.
ECO-212   Microeconomics3 Hours
Provides a background for advanced economics courses. A special emphasis is placed upon microeconomics topics including scarcity, division of labor, the economics of the firm, demand and price elasticity, and profits and competition.
ECO-213   Macroeconomics3 Hours
An introductory survey of macroeconomic theory emphasizing how the U.S. economy works as well as the role and influence of the U.S. economy in global markets. Topics include national income accounting, circular flow, short-run and long-run models of the economy, labor productivity and economic growth, inflation and unemployment, money, monetary and fiscal policy, and competing theories of the business cycle.
18-21 credit hours

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