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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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Major Requirements

Prerequisite: two years of high school algebra and a year of high school geometry.

Mathematics Core
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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-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-333   Modern Geometry4 Hours
A critical study of the foundations of geometry in which Euclidean and non-Euclidean geometries are explored and compared. A sound logical basis is then built for Euclidean geometry within the framework of Hilbert's postulates. Prerequisite or co-requisite: MAT-254 or permission of the Division.
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-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.
37 credit hours
Mathematics Electives

Choose one of the following:

MAT-204 and MAT-304
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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.
or
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MAT-363 Mathematical Statistics I3 Hours
An introduction to the theory of probability and statistics using basic concepts of probability and its laws, probability distributions for discrete 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.
3-6 credit hours
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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-373   Numerical Analysis3 Hours
A study of the operation, efficiency, and accuracy of numerical algorithmic processes. Topics include rates of convergence, analysis of error, solution of equations, interpolation, numerical integration and differentiation, solution of linear systems, and approximation/curve-fitting. Prerequisites: MAT-254, MAT-280 and CIS-125.
MAT-446   Advanced Calculus3 Hours
An advanced multivariate treatment of calculus for the mature student of mathematics. This course will present derivation of the properties of continuity, differentiation, integration and convergence using the fundamental concepts and theorems of analysis. Applications in differential geometry and vector calculus will build on previous calculus experience. Prerequisite: MAT-255 or MAT-353.
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-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.
3 credit hours
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.
3 credit hours
Choose one lab science from among the following:
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BIO-125   Principles of Biology4 Hours
The fundamental principles of genetics, cell development, and structure and function in cells, membranes, and molecules as related to organisms are covered. Representative life processes, organisms, and bio-techniques are studied from the cellular perspective to illustrate biological principles. Emphasis is placed upon man's real progress in coping with the new knowledge of biology and its effects on society's perspective about how the knowledge should be used. Prerequisite: Math SAT 440 or above; SAT I 480 or above; ACT 20 or above; or CHE-110 with a grade of "C" or better. This course fulfills the general education lab requirement. Can be used as foundational in the Biology Minor for Education Majors. Core Course for Biology Majors.
CHE-110   Introduction to Chemistry4 Hours
An introduction to the principles of chemistry. Topics include atomic and molecular structure, chemical reactions, kinetics, equilibrium, stoichiometry, solutions, intermolecular interactions, gases and other related topics. CHE-110 is a beginning course for students with weak or no previous chemistry and who expect to take CHE-120 or CHE-125. This course with its co-requisite laboratory fulfills the general education lab science requirement. Foundational elective in the Science Minor for Education Majors. Students taking this course should have a basic proficiency in math. A math SAT above 460 or ACT above 19 or a grade of "C" or above in MAT-101 is highly recommended but not required. Co-requisite: CHE-110L.
CHE-125   General Chemistry I5 Hours
A study of the fundamental principles and concepts of chemistry and their relations to representative elements and their compounds. This course starts with atoms, builds atoms into compounds, and then begins talking about the way in which elements and compounds behave. Foundational elective in the Science Minor for Education Majors. Prerequisite: CHE-110 with grade of "C" or better; Math SAT 480 or above, ACT 21 or above, AND high school chemistry (1 year). Co-requisite: CHE-125L.
PHY-211   General Physics I4 Hours
First part of a two-semester non-calculus introductory course in physics covering mechanics, thermodynamics (heat), and waves. Prerequisite: High school trigonometry or MAT-120. Co-requisite: PHY-211L.
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.
4-5 credit hours

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Major Requirements

Mathematics Core

Mathematics Electives

Required Supporting Courses