# Undergraduate Course Descriptions

- IPFW.edu
- College of Arts and Sciences
- Department of Mathematical Sciences
- Course Information
- Undergraduate Course Descriptions

MA 10100 - Mathematics for Elementary Teachers I

MA 10200 - Mathematics for Elementary Teachers II

MA 10300 - Mathematics for Elementary Teachers III

MA 10900 - Elementary Algebra (No longer offered.)

MA 11100 - Algebra

MA 11101 - Algebra Applications and Activities

MA 11300 - Intermediate Algebra (No longer offered. See MA 11100)

MA 12401 - Introduction to Mathematical Ideas

MA 14000 - Practical Quantitative Reasoning

MA 14900 - Basic and College Algebra

MA 15300 - College Algebra (Formerly called Algebra and Trigonometry I)

MA 15400 - Algebra and Trigonometry II

MA 15900 - Precalculus

MA 163H - Honors Integrated Calculus and Analytic Geometry I (No longer offered. See MA 16500)

MA 164H - Honors Integrated Calculus and Analytic Geometry II (No longer offered. See MA 16600)

MA 16500 - Analytic Geometry and Calculus I

MA 16600 - Analytic Geometry and Calculus II

MA 16800 - Mathematics for the Liberal Arts Student (No longer offered. See MA 14000)

MA 17500 - Introductory Discrete Mathematics

MA 18300 - Professional Practicum I

MA 18400 - Professional Practicum II

MA 21300 - Finite Mathematics I

MA 22700 - Calculus for Technology I

MA 22800 - Calculus for Technology II

MA 22900 - Calculus for the Managerial, Social, and Biological Sciences I

MA 23000 - Calculus for the Managerial, Social, and Biological Sciences II

MA 26100 - Multivariate Calculus

MA 26300 - Multivariate and Vector Calculus

MA 27300 - Financial Mathematics

MA 27500 - Intermediate Discrete Math

MA 28400 - Professional Practicum III

MA 30500 - Foundations of Higher Mathematics

MA 31400 - Introduction to Mathematical Modeling

MA 32100 - Applied Differential Equations

MA 35100 - Elementary Linear Algebra

MA 36300 - Differential Equations

MA 38600 - Professional Practicum IV

MA 41700 - Mathematical Programming

MA 41800 - Computations Laboratory for MA 417

MA 44100 - Real Analysis

MA 45300 - Elements of Algebra

MA 46000 - Geometry

MA 48700 - Professional Practicum V

MA 49000 - Topics in Mathematics for Undergraduates

STAT 12500 - Communicating with Statistics

STAT 24000 - Statistical Methods for Biology

STAT 30100 - Elementary Statistical Methods I

STAT 34000 - Elementary Statistical Methods II

STAT 49000 - Topics in Statistics for Undergraduates

STAT 51100 - Statistical Methods

STAT 51200 - Applied Regression Analysis

STAT 51400 - Design of Experiments

STAT 51600 - Basic Probability and Applications

STAT 51700 - Statistical Inference

STAT 51900 - Introduction to Probability

STAT 52000 - Time Series And Applications

STAT 52800 - Introduction to Mathematical Statistics

### MA 10100 - Mathematics for Elementary Teachers I 3 cr.

A teacher’s perspective of the mathematics of the elementary school curriculum; in particular, mathematical problem solving, sets, numeration, and operations on the whole numbers.

Prerequisite: MA 10900 with a grade of C- or higher or placement at or above the MA 11300 level and one year of high school geometry.

### MA 10200 - Mathematics for Elementary Teachers II 3 cr.

A teacher’s perspective of the mathematics of the elementary school curriculum, including operations on the integers and rationals, probability, and statistics.

Prerequisite: MA 10100 with a grade of C- or higher or placement by departmental exam.

See the MA 10200 Course Website for more information.

### MA 10300 - Mathematics for Elementary Teachers III 3 cr.

Geometry and measurement concepts appropriate for the elementary school curriculum, including metric and nonmetric properties of geometric figures, measurement, coordinate geometry, graphs, and real-world applications of geometry.

Prerequisite: MA 10200 with a grade of C- or higher or placement by departmental exam.

### MA 10900 - Elementary Algebra 3 cr.

This course is no longer offered. A description can be found here.

### MA 11100 - Algebra 3 cr.

This is an algebra review course for students not prepared for MA 15200, 15300, or 15900. Topics covered: real numbers, linear functions, solving linear equations and systems of linear equations, absolute value equations and inequalities, rational expressions, complex numbers, proportions, solving quadratic equations.

Prerequisite: MA 12401 with a grade of C- or higher or placement by departmental exam.

See the MA 11100 Course Website for more information.

### MA 11300 - Intermediate Algebra 3 cr.

This course is no longer offered. A description can be found here. For a similar course, see MA 11100.

### MA 12401 - Introduction to Mathematical Ideas 3 cr.

Introduction to problem solving and critical thinking including logic, numbers and numerical reasoning and elementary algebra. Serves as a prerequisite for STAT 12500 and MA 14000. Not intended for programs requiring calculus.

### MA 14000 - Practical Quantitative Reasoning 3 cr.

A course for liberal arts students that shows mathematics as the language of modern problem solving. The course is designed around problems concerning management science, statistics, social choice, size and shape, and computer science. Applications in quality control, consumer affairs, wildlife management, human decision making, architectural design, political practices, urban planning, space exploration, and more may be included in the course. Typically offered Fall and Spring. **Students who have options such as MA 14000 or STAT 12500 or MA 15300 would likely be better off taking MA 14000**** or STAT 12500 ****than taking MA 15300. **

Prerequisite: MA 12401 with a grade of C- or higher or placement by departmental exam.

### MA 14900 - Basic and College Algebra 3 cr.

This course is no longer offered. It was a one-semester version of MA 11300 and MA 15300.

A course description is found here.

### MA 15300 - Algebra and Trigonometry I 3 cr.

Review of algebraic operations, factoring, exponents, radicals and rational exponents, and fractional expressions. Linear and quadratic equations and modeling, problem solving, and inequalities. Graphs of functions and transformations, including polynomial, rational, exponential, and logarithmic functions with applications.**MA 15300 is a preparatory course for the calculus sequence. Students who are not required to take MA 15300 would likely be better off taking MA 14000 or STAT 12500**

Prerequisite: MA 11100 or MA 11300 with a grade of C- or higher* or placement by departmental exam.**Beginning Fall 2017, a grade of B- or higher in MA 11100 is required.*

Note: Students with credit in MA 14000 or its equivalent MA 16800 do **not** meet the prerequisites for MA 15300.

See the MA 15300 Course Website for more information including the kinds of prerequisite skills needed.

### MA 15400 - Algebra and Trigonometry II 3 cr.

Trigonometric functions and graphs, vectors, complex numbers, conic sections, matrices, and sequences.

Prerequisite: MA 14900 or MA 15300 with a grade of C- or higher or placement by departmental exam.

See the MA 15400 Course Website for more information.

### MA 15900 - Precalculus 5 cr.

Algebra and trigonometry topics designed to prepare students for calculus. This course is equivalent to MA 15300 and MA 15400 together. **Because this course is accelerated and intended as a review, students who have a weak or minimal background in trigonometry are recommended to take the MA 15300-MA 15400 sequence. **

Prerequisite: MA 11100 or MA 11300 with a grade of B- or higher or placement by departmental exam.

### MA 163H - Honors Integrated Calculus and Analytic Geometry I 5 cr.

This course is no longer offered. A course description can be found here. See your advisor about honors sections of MA 16500.

### MA 164H - Honors Integrated Calculus and Analytic Geometry II 5 cr.

This course is no longer offered. A course description can be found here. See your advisor about honors sections of MA 16600.

### MA 16500 - Analytic Geometry and Calculus I 4 cr.

Introduction to differential and integral calculus of one variable, with applications. Conic sections.

Prerequisite: MA 15400 or MA 15900 with a grade of C- or higher or placement by departmental exam.

### MA 16600 - Analytic Geometry and Calculus II 4 cr.

Continuation of MA 165. Vectors in two and three dimensions. Techniques of integration, infinite series, polar coordinates, surfaces in three dimensions.

Prerequisite: MA 16500 with a grade of C- or higher or placement by departmental exam.

### MA 16800 - Math for the Liberal 3 cr.

The course MA 16800 is no longer offered. MA 14000 is the new course number for MA 16800. Course content has not changed. **Students who have options such as MA 16800 (now MA 14000) or STAT 12500 or MA 15300 would likely be better off taking MA 14000 or STAT 12500 rather than taking MA 15300. **

### MA 17500 - Introductory Discrete Mathematics 3 cr.

Sets, logical inference, induction, recursion, counting principles, binary relations, vectors and matrices, graphs, algorithm analysis.

Prerequisite: MA 16500 or MA 15300 and CS 16000; or MA 15300 and ECET 26400 with a grade of C- or higher in each course.

### MA 18300 - Professional Practicum I

For Cooperative Education students only.

### MA 18400 - Professional Practicum II

Authorized equivalent courses or consent of instructor may be used in satisfying course pre- and corequisites.

Prerequisite: MA 18300 with a grade of C- or higher.

### MA 21300 - Finite Mathematics I 3 cr.

Basic logic, set theory. Elementary probability, Markov chains. Vectors, matrices, linear systems, elementary graph theory. Applications to finite models in the managerial, social, and life sciences; and computer science.

Prerequisite: MA 12401 or MA 11100 with a grade of C- or higher or placement by departmental exam.

### MA 22700 - Calculus for Technology I 4 cr.

Functions, derivatives, integrals. Applications to problems in the engineering technologies.

Prerequisite: MA 15400 or MA 15900 with a grade of C- or higher or placement by departmental exam.

### MA 22800 - Calculus for Technology II 3 cr.

Continuation of 227. Further topics in differentiation and integration. Introduction to infinite series, harmonic analysis, differential equations, and Laplace transforms. Applications to problems in the engineering technologies.

Prerequisite: MA 22700 with a grade of C- or higher.

### MA 22900 - Calculus for the Managerial, Social, and Biological Sciences I 3 cr.

Differential and integral calculus of one variable. Applications to problems in business and the social and biological sciences.

Prerequisite: MA 14900 or MA 15300 with a grade of C- or higher or placement by departmental exam.

### MA 23000 - Calculus for the Managerial, Social, and Biological Sciences II 3 cr.

A continuation of 229 covering topics in elementary differential equations, calculus of functions of several variables, and infinite series.

Prerequisite: MA 22900 with a grade of C- or higher.

### MA 26100 - Multivariate Calculus 4 cr.

Solid analytic geometry, vector calculus, partial derivatives, and multiple integrals.

Prerequisite: MA 16600 with a grade of C- or higher.

### MA 26300 - Multivariate and Vector Calculus 4 cr.

This course is primarily for students majoring in mathematics, but is appropriate for students majoring in engineering and the physical sciences who want a stronger background in vector calculus than is available in MA 261. Geometry of Euclidean space; partial derivatives, gradient; vector fields, divergence, curl; extrema, Lagrange multipliers; multiple integrals, Jacobian; line and surface integrals; theorems of Green, Gauss, and Stokes.

Prerequisite: MA 16600 with a grade of C- or higher.

### MA 27300 - Financial Mathematics 3 cr.

A mathematical treatment of some of the fundamental concepts of financial mathematics and their application to real world business situations and basic risk management. Includes discussions of interest rates, discount rates, annuity valuation, bond valuation, cash flow valuation, spot rates, forward rates. Macaulay duration, modified duration, effective duration, convexity, and immunization, and their use in risk management. Provides preparation for the SOA/CAS Actuarial Exam FM/2.

Prerequisite: MA 16600 or MA 22800 or MA 23000 with a grade of C- or higher.

### MA 27500 - Intermediate Discrete Math 3 cr.

Formal logic, proof techniques, elementary number theory, mathematical induction, functions, recurrence relations, sets, combinatorics, elementary graph theory, and applications. Students may not count both MA 175 and MA 275 toward graduation.

Prerequisite: MA 26100 or MA 26300 with a grade of C- or higher.

### MA 28400 - Professional Practicum III

Authorized equivalent courses or consent of instructor may be used in satisfying course pre- and corequisites.

Prerequisite: MA18400 with a grade of C- or higher.

### MA 30500 - Foundations of Higher Mathematics 3 cr.

Fundamental concepts used in higher courses, including logic and proof techniques, set theory, functions and relations, cardinality, number systems, the real numbers as a complete ordered field, and Epsilon-delta techniques.

Prerequisite: MA 16600 and MA 17500 with grades of C- or higher.

### MA 31400 - Introduction to Mathematical Modeling 3 cr.

This course is intended to be accessible to students outside the mathematical and physical sciences. Formulation of mathematical models for applications in the biological, physical, and social sciences. Discrete and continuous models employing random and nonrandom simulation will be studied, with projects selected to fit the background and interests of the students.

Prerequisite: One semester of calculus and MA 17500 or MA 27500 with grades of C- or higher.

### MA 32100 - Applied Differential Equations 3 cr.

Designed primarily for EET majors. Ordinary differential equations with emphasis on linear equations and their applications. Laplace transforms. Fourier series, and an introduction to partial differential equations and their applications. No credit for math majors.

Prerequisite: MA 22800 with a grade of C- or higher.

### MA 35100 - Elementary Linear Algebra 3 cr.

Linear transformations, finite dimensional vector spaces, matrices, determinants, systems of linear equations, and applications to areas such as linear programming. Markov chains and differential equations.

Prerequisite: Two semesters of calculus

### MA 36300 - Differential Equations 3 cr.

First order differential equations, higher order linear differential equations, systems of first order equations, series solutions, integral transforms, introduction to partial differential equations: separation of variables, Fourier series, Sturm-Liouville equations.

Prerequisite: MA 26100 or MA 26300; MA 35100 with a grade of C- or higher or current enrollment in MA 35100.

### MA 38600 - Professional Practicum IV

Authorized equivalent courses or consent of instructor may be used in satisfying course pre- and corequisites.

Prerequisite: MA 28400 with a grade of C- or higher.

### MA 41700 - Mathematical Programming 3 cr.

This course is appropriate for majors in engineering, computer science, and mathematics. Construction of linear programming models; the simplex methods and variants, degeneracy and uncertainty in linear programming, gradient methods, dynamic programming, integer programming, principles of duality; two-person zero-sum, nonzero-sum, n-person, and cooperative games.

Prerequisite: MA 26100 or MA 26300 and one of: MA 26200, MA 35100 or MA 51100 with a grade of C- or higher.

### MA 41800 - Computations Laboratory for MA 417 1 cr.

Implementation on digital computer of those appropriate algorithms created in class to solve mathematical programming problems.

Prerequisite: CS 16000 or CS 11400 with a grade of C- or higher.

### MA 44100 - Real Analysis 3 cr.

The theory of functions of a real variable; continuity, theory of differentiation and Riemann integration, sequences and series of functions, uniform convergence, interchange of limit operations.

Prerequisite: MA 30500 with a grade of C- or higher.

### MA 45300 - Elements of Algebra 3 cr.

Fundamental properties of homomorphisms, groups, rings, integers, polynomials, fields.

Prerequisite: MA 30500 and MA 35100 with a grade of C- or higher.

### MA 46000 - Geometry 3 cr.

This is a course in Euclidean geometry. It begins at the high-school level and then moves quickly to intermediate and advanced topics. Emphasis on proofs.

Prerequisite: MA 26100 or MA 26300 with a grade of C- or higher.

### MA 48700 - Professional Practicum V

Prerequisite: MA 38600 with a grade of C- or higher.

### MA 49000 - Topics in Mathematics for Undergraduates 1-5 cr.

Supervised reading and reports on approved topics in various fields.

### STAT 12500 - Communicating with Statistics 3 cr.

An introduction to the basic concepts and methods in statistical reasoning that are commonly referenced in the print media. Topics include data collection methods, descriptive statistics, basic techniques of estimation, and theory testing. Students will analyze and interpret statistics relating to contemporary problems in politics, business, science and social issues.

Prerequisite: MA 12401 or MA 10900 with a grade of C- or higher or placement by departmental exam.

### STAT 24000 - Statistical Methods for Biology 3 cr.

An introduction to the basic concepts and methods in a statistical analysis, with emphasis on applications in the life sciences. Descriptive statistics, discrete and continuous distributions, confidence interval estimation, hypothesis testing, and contingency tables.

Prerequisite: MA 14900 or MA 15300 with a grade of C- or higher.

### STAT 30100 - Elementary Statistical Methods I 3 cr.

Not open to majors in mathematics or engineering. Credit should be allowed in no more than one of STAT 301or 511. Introduction to statistical methods with applications to diverse fields. Emphasis on understanding and interpreting standard techniques. Data analysis for one and several variables, design of samples and experiments, basic probability, sampling distributions, confidence intervals and significance tests for means and proportions, correlation and regression. Software is used throughout.

Prerequisite: MA 14900 or MA 15300 or MA 14000 or MA 16800 with a grade of C- or higher.

### STAT 34000 - Elementary Statistical Methods II 3 cr.

Statistical methods of simple linear regression, multiple linear regression, experimental design, analysis of variance, and nonparametric analysis. One or more statistical computer programs will be used. Student projects required, typically using data from the student’s major.

Prerequisite: STAT 24000, STAT 30100, ECON E27000, PSY 20100 (or equivalent); one semester statistics course with a grade of C- or higher.

### STAT 49000 - Topics in Statistics for Undergraduates 1-5 cr.

Directed study for students who wish to undertake individual reading on approved topics.

### STAT 51100 - Statistical Methods 3 cr.

Descriptive statistics; elementary probability; sampling distributions; inference, testing hypotheses, and estimation; normal, binomial, Poisson, hypergeometric distributions; one-way analysis of variance; contingency tables; regression.

Prerequisite: Two semesters of calculus

### STAT 51200 - Applied Regression Analysis 3 cr.

Inference in simple and multiple linear regression, residual analysis, transformations, polynomial regression, model building with real data, nonlinear regression. One-way and two-way analysis of variance, multiple comparisons, fixed and random factors, analysis of covariance. Use of existing statistical computer programs.

Prerequisite: STAT 51100 or STAT 51700 or STAT 52800 with a grade of C- or higher.

### STAT 51400 - Design of Experiments 3 cr.

Fundamentals, completely randomized design; randomized complete blocks; latin square; multi-classification; factorial; nested factorial; incomplete block and fractional replications for 2n, 3n, 2m x 3n; confounding; lattice designs; general mixed factorials; split plot; analysis of variance in regression models; optimum design. Use of existing statistical programs.

Prerequisite: STAT 51200 with a grade of C- or higher.

### STAT 51600 - Basic Probability and Applications 3 cr.

A first course in probability intended to serve as a background for statistics and other applications. Sample spaces and axioms of probability, discrete and continuous random variables, conditional probability and Bayes’ theorem, joint and conditional probability distributions, expectations, moments and moment generating functions, law of large numbers and central limit theorem. (The probability material in Course 1 of the Society of Actuaries and the Casualty Actuarial Society is covered by this course.)

Prerequisite: MA 26100 or MA 26300 with a grade of C- or higher.

### STAT 51700 - Statistical Inference 3 cr.

A basic course in statistical theory covering standard statistical methods and their application. Estimation including unbiased, maximum likelihood and moment estimation; testing hypotheses for standard distributions and contingency tables; confidence intervals and regions; introduction to nonparametric tests and linear regression.

Prerequisite: STAT 51600 with a grade of C- or higher.

### STAT 51900 - Introduction to Probability 3 cr.

Algebra of sets, sample spaces, combinatorial problems, independence, random variables, distribution functions, moment generating functions, special continuous and discrete distributions, distribution of a function of a random variable, limit theorems.

Prerequisite: MA 26100 or MA 26300 with a grade of C- or higher.

### STAT 52000 - Time Series And Applications 3 cr.

A first course in stationary time series with applications in engineering, economics, and physical sciences. Stationarity, autocovariance function and spectrum; integral representation of a stationary time series and interpretation; linear filtering, transfer functions; estimation of spectrum; multivariate time series. Use of computer programs for covariance and spectral estimation.

Prerequisite: STAT 51200 with a grade of C- or higher.

### STAT 52800 - Introduction to Mathematical Statistics 3 cr.

Distribution of mean and variance in normal samples, sampling distributions derived from the normal distribution, Chi square, t and F. Distribution of statistics based on ordered samples. Asymptotic sampling distributions. Introduction to multivariate normal distribution and linear models. Sufficient statistics, maximum likelihood, least squares, linear estimation, other methods of point estimation, and discussion of their properties. Cramer-Rao inequality and Rao-Blackwell theorem. Tests of statistical hypotheses, simple and composite hypotheses, likelihood ratio tests, power of tests.

Prerequisite: STAT 51900 with a grade of C- or higher.