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Here are the catalog descriptions of the course offerings for the Department of Mathematics of Eastern Michigan University. Click on "more" to get complete descriptions of the
prerequsites, course objectives, technologies used, possible follow up courses, and students who may benefit from the course.
MATH 097 Pre-College Mathematical Concepts Basic Mathematics
A mastery-based basic arithmetic developmental mathematics course designed to prepare students for a developmental algebra course; covers beginning mathematical concepts and skill development in a supportive but structured setting; includes help with math study skills and reducing math anxiety. Credit for this course does not count toward graduation. (more...)
MATH 098 Pre-College Mathematical Concepts Elementary Algebra
A mastery-based beginning algebra mathematics course designed to prepare students to succeed in a college-level mathematics course; covers beginning algebra concepts and skill development in a supportive but structured setting; includes help with math study skills and reducing math anxiety. The graphing calculator is introduced. Credit for this course does not count toward graduation. (more...)
MATH 104 Intermediate Algebra
A review of elementary algebra and a continuation into the study of functions, graphs and quadratic equations. (more...)
MATH 105 College Algebra
Properties of the real numbers; equations and inequalities; functions; sequences; mathematical induction; polynomial, rational, exponential and logarithmic functions; introduction to probability. (more...)
MATH 107 Plane Trigonometry
An elementary course in plane trigonometry. Students who have good records in high school courses including trigonometric identities, trigonometric equations, and oblique triangles should not take this course. (more...)
MATH 108 Mathematics for Elementary Teachers
The first of a two-course sequence that examines topics in the elementary school mathematics curriculum from an advanced standpoint, with an emphasis on concepts and problem solving. Topics include number theory, real number systems and their properties, algebra concepts, and functions. Required of all students in elementary and later elementary curricula. Open only to prospective elementary teachers. (more...)
MATH 110 Mathematical Reasoning
An introduction to quantitative reasoning, with the aim of developing the capacity to comprehend and analyze the quantitative information that is prevalent in modern society. Topics include mathematical modeling, basic probability and statistics and practical applications. (more...)
MATH 110E Mathematical Reasoning: Applications for Elementary School Teachers
This course is an introduction to quantitative reasoning, with the aim of developing the capacity to comprehend and analyze the quantitative information that is prevalent in modern society. Topics include: mathematical modeling, basic probability and statistics, geometry, and practical applications for elementary education majors. (more...)
MATH 112 Topics in Precalculus Mathematics
Provides a through preparation for calculus for students who are insufficiently prepared in college algebra and trigonometry or who need to review these subjects. Emphasis will be on topics from college algebra and trigonometry that are used in calculus. Some knowledge of trigonometry is assumed. (more...)
MATH 118 Linear Models and Probability
Linear models, systems of linear equations, linear regression, probability theory, probabilistic simulations, decision theory, descriptive statistics; combinatorics and/or financial models as time permits. (more...)
MATH 119 Applied Calculus
Introduction to the concepts and applications of differential and integral calculus: behavior and properties of algebraic, logarithmic and exponential functions, derivatives and rates of change, optimization and definite integral as accumulation. Emphasis on problem setup, interpretation and applications. (more...)
MATH 120 Calculus I
Calculus of functions of a single variable; differential calculus, including limits, derivatives, techniques of differentiation, the mean value theorem and applications of differentiation to graphing, optimization and rates. Integral calculus, including indefinite integrals, the definite integral, the fundamental theorem of integral calculus, and applications of integration to area and volume. (more...)
MATH 121 Calculus II
Calculus of functions of a single variable continued; additional applications of definite integration to moments, centroids, arc length, surface area and work. Transcendental functions, infinite series, methods of integration, review of conic sections. (more...)
MATH 122 Elementary Linear Algebra
Vectors & Matrices, Operations on Matrices, Determinants, Systems of Linear Equations, Linear Independence, Linear Transformations, Applications. (more...)
MATH 210 Algebra for Elementary Teachers
Field properties, complex numbers, number sentences, introduction to coordinate geometry, nature of proof and concept of limit. (more...)
MATH 211 Introduction to Mathematical Proof
A transition to upper level mathematics courses. This course highlights various types of mathematical thinking including direct, indirect and inductive proofs, with careful treatment of quantified statements. Topics include sets, number theory and relations. Development of the ability to write a precise mathematical proof is the primary goal. (more...)
MATH 223 Multivariable Calculus
Vector products, lines and planes in three-dimensional space, quadric surfaces, cylindrical and spherical coordinates. Differential calculus of vector functions of a single variable; velocity and acceleration vectors, curvature. Partial differentiation, gradient, chain rule, directional derivatives, tangent planes, application to optimization. Multiple integration, change of coordinates, applications. Taylor's Theorem for Functions of Several Variables, line and surface integrals, Stokes' Theorem, Gauss' Theorem. (more...)
MATH 240 Geometry for Elementary Teachers
Informal geometry of the plane and space, congruence and measurement, elementary theorems and proof, and plane coordinate geometry. Open only to prospective elementary teachers. (more...)
MATH 301 Advanced Topics in Elementary Mathematics
Acquaints prospective elementary teachers with new topics in the elementary mathematics curriculum such as algebraic systems, conic sections, trigonometry, statistical procedures and topics in number theory. (more...)
MATH 319 Mathematical Modeling
The modeling process; model building and evaluation, techniques of modeling; model fitting and models requiring optimization; empirical model construction of experimental models, dimensional analysis, simulation models, dynamic models; use of derivatives in the modeling process, single and multivariable dynamic models. (more...)
MATH 325 Elementary Differential Equations
First and second order differential equations with applications, linear differential equations, power series solutions, Laplace transforms. (more...)
MATH 341 College Geometry
An introduction to several geometries such as affine, projective, space-time and non-Euclidean. (more...)
MATH 360 Statistical Methods
A comprehensive overview of statistical methods and analysis with applications. Topics include descriptive statistics, probability theory, random variables and probability distributions, sampling distributions, estimation and testing hypotheses, correlation and regression, introduction to computer-assisted statistical analysis. (more...)
MATH 370 Probability and Statistics I
Basic concepts of probability; expectation, variance, covariance distribution functions and their application to statistical tests of hypothesis; bivariate, marginal and conditional distributions; treatment of experimental data. Applications to problems in science and/or social science are emphasized. (more...)
MATH 372 Problems in Actuarial Studies I
Applications of mathematics to actuarial science. Particular attention paid to subject matter not covered in the regular mathematics curriculum and to special techniques of problem solving appropriate to actuarial science. The course should be helpful in preparing for the Society of Actuaries' P Exam. (more...)
MATH 381 The Teaching of Mathematics, K-6
Learning to teach children in the elementary grades (K-6) the understanding processes of mathematics. Attention is focused on learning-teaching situations and effective use of learning aids. Required of all students on early elementary and later elementary curricula. Not open to students on academic probation. (more...)
MATH 400 History and Development of Mathematics
The course presents topics in the evolution of mathematics; the historical development of algebra, geometry and calculus provides the major focus. Problems will be assigned that reflect the content and methods of this development. (more...)
MATH 401 Math 401 Mathematics and its History for Elementary/Middle School Teachers
Topics in the evolution of mathematics from ancient times through the present, with an emphasis on connections with the elementary school curriculum. Development of numeration systems, algebra, different geometries, calculus; including the contributions of different cultures in the development of mathematics. (more...)
MATH 407 Elementary Number Theory
Primes, Euclidean algorithm and prime factorization, congruences, multiplicative functions, quadratic residues and reciprocity, continued fractions, Diophantine equations, possible applications to cryptology, and/or primality testing. (more...)
MATH 411 Abstract Algebra
An introduction to the theory and concepts of abstract algebra. Topics from group theory: subgroups, cosets, Lagrange’s Theorem, homomorphism. Also selected topics from ring theory and field theory. (more...)
MATH 416 Linear Algebra
Theoretical aspects of linear algebra: vector spaces, linear transformations and matrices, systems of linear equations, diagonalization, inner product spaces. (more...)
MATH 418 Modeling with Linear Algebra
Topics in linear algebra such as linear transformations, eigenvalues, eigenvectors and inner products. Applications may include rotations in space and 3D
graphics, stochastic processes, systems of linear ODE's, Fourier series, orthogonal
polynomials, projection methods for solving overdetermined systems. (more...)
MATH 420 Introduction to Analysis
Real numbers, elementary topology of the real line, sequences and series, continuity, uniform continuity, differentiation, integration, sequences and series of functions. (more...)
MATH 424 Introduction to Complex Variables
Complex numbers, analytic functions, elementary
functions and their mapping properties, conformal mapping and applications;
contour integrals, Cauchy-Goursat Theorem and its consequences, Taylor
and Laurent series, calculus of residues. (more...)
MATH 425 Mathematics for Scientists
The scientific applications of mathematics. Topics chosen will reflect the interests of the class. Possible areas of study include Fourier series and transforms, complex variables, generalized functions, Laplace transform, Bessel functions, curve fitting, partial differential equations and the calculus of variations. A record of topics studied each semester will be kept in the mathematics files. (more...)
MATH 461 Linear Regression Analysis
Modeling a response as a sample or multiple regression model, validity of assumptions, using models for estimation and prediction, multicolinearity, auto-correlation of error terms, residual analysis, influence diagnostics, stepwise regression. (more...)
MATH 472 Problems in Actuarial Studies II
Applications of mathematics to actuarial science. Particular attention paid to subject matter not covered in the regular mathematics curriculum and to special techniques of problem solving appropriate to actuarial science. The course should be helpful in preparing for the Society of Actuaries’ FM Exam. (more...)
MATH 474 Applied Statistics
An empirical approach to statistics: design, implement, analyze, and report the research results. The emphasis is on the practical use of statistical tools to answer questions of interest. include two sample comparison methods, ANOVA, multiple comparisons, bootstrap and nonparametric methods, simple and multiple linear regression, analysis of counts data, and logistic regression. This course fulfills the upper-level Writing-Intensive course requirement in the math major. (more...)
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Department of Mathematics • Eastern Michigan University
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