# Mathematical and Statistical Sciences

**Chairperson: Anne Clough, Ph.D.**

Department of Mathematical and Statistical Sciences website

The Department of Mathematical and Statistical Sciences offers a unique learning environment with areas of study ranging from pure and applied mathematics to mathematics education and statistics.

The Mathematics major (MATH) explores the interplay between the pure theory and the practical applications of mathematics. The mathematics curriculum can be tailored to an individual's interests with a focus in pure mathematics, applied mathematics or actuarial science, statistics, as well as secondary education. In any case, the curriculum is designed to provide technical skills for growth within the discipline and for success in a wide variety of careers.

The Computational Mathematics major (COMA) provides an enriching blend of courses in applied mathematics augmented with computer science courses. The Computational Mathematics curriculum develops the computing skills required for many of today’s applications.

The Statistical Science major (STSC) targets the growing demand for talented statisticians by integrating mathematical foundations and statistical thinking together with computational proficiency with modern computational statistical tools.

The Mathematics for Elementary School Teachers major (MELT) is for College of Education students who are seeking teaching certification at the elementary school level, while obtaining strong mathematical preparation. This program is designed to prepare “mathematics specialists” who provide vision, focus and leadership in elementary schools.

Data Science is the emerging field that seeks to extract and quantify knowledge from data. The Interdisciplinary Data Science major (INDS) integrates statistics and mathematics with computer science, allowing students to develop the knowledge and skills necessary to discover and quantify new knowledge from data. Those prepared to integrate advanced technology with modern statistical and mathematical practices have the opportunity to use data in action to benefit society. Data scientists turn data into knowledge.

## Accelerated Bachelor's–Master's and Bachelor's– M.B.A. Degree Programs

The Department of Mathematical and Statistical Sciences offers a five-year B.S./M.S. accelerated degree program in which students may obtain both an B.S. degree in a variety of undergraduate majors such as Mathematics, Statistics, Data Science or Economics and a professional master of science (M.S.) degree in Applied Statistics in five years. In addition, together with the Graduate School of Management, the Department of Mathematical and Statistical Sciences offers a five-year B.S./M.B.A. accelerated degree program.

**MATH 1100**

**College Algebra**

**(3 credits)**

*Prerequisite:*Two years of college preparatory mathematics including a year each of algebra and geometry.

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Summer Term, 2021 Summer Term

**MATH 1101**

**Trigonometry and Analytic Geometry**

**(3 credits)**

*Prerequisite:*MATH 1100 or equiv.

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2001 Spring Term, 2000 Fall Term, 2000 Spring Term

**MATH 1200**

**Precalculus**

**(3 credits)**

*Prerequisite:*Two years of college preparatory mathematics including a year each of algebra and geometry; Fr. or Soph. stndg.

*Level of Study:*Undergraduate

**MATH 1300**

**The Nature of Mathematics**

**(3 credits)**

*Prerequisite:*Two years of college preparatory mathematics.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Basic Needs & Justice, NSM Expanding Our Horizons

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Fall Term, 2022 Summer Term

**MATH 1390**

**Finite Mathematics**

**(3 credits)**

*Prerequisite:*MATH 1100 or equivalent.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Individuals & Communities

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Summer Term, 2022 Spring Term

**MATH 1400**

**Elements of Calculus**

**(3 credits)**

*Prerequisite:*MATH 1100 or equiv.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Expanding Our Horizons

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Fall Term, 2022 Summer Term

**MATH 1401**

**Elements of Calculus Lab**

**(3 credits)**

*Prerequisite:*MATH 1400 which must be taken concurrently.

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 1995 Spring Term, 1994 Spring Term

**MATH 1410**

**Calculus for the Biological Sciences**

**(3 credits)**

*Prerequisite:*MATH 1100 or equivalent.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Basic Needs & Justice

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 1450**

**Calculus 1**

**(4 credits)**

*Prerequisite:*MATH 1101 or equiv.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Expanding Our Horizons

*Interdisciplinary Studies:*Applied Mathematics Economics, Bioinformatics

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Fall Term, 2022 Summer Term

**MATH 1451**

**Integral Calculus**

**(4 credits)**

*Prerequisite:*MATH 1450.

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Summer Term, 2022 Spring Term

**MATH 1455**

**Calculus 2**

**(4 credits)**

*Prerequisite:*MATH 1450.

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Fall Term, 2022 Spring Term

**MATH 1700**

**Modern Elementary Statistics**

**(3 credits)**

*Prerequisite:*Two years of college preparatory mathematics.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Cgntn, Lang, Mmry/Intlgnc, NSM Crossing Boundaries

*Interdisciplinary Studies:*Cognitive Science, Environmental Studies, International Affairs, Public History

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Fall Term, 2022 Summer Term

**MATH 1700H**

**Honors Modern Elementary Statistics**

**(3 credits)**

*Prerequisite:*Two years of college preparatory mathematics; admission to Marquette University Honors Program; and PSYC 1700H, which must be taken concurrently.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Cgntn, Lang, Mmry/Intlgnc, NSM Crossing Boundaries

*Interdisciplinary Studies:*Cognitive Science, Public History

*Last four terms offered:*2023 Spring Term, 2022 Spring Term, 2020 Fall Term, 2019 Fall Term

**MATH 2030**

**Problem Solving and Reasoning for Teachers**

**(3 credits)**

*Prerequisite:*Two years of college preparatory mathematics.

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Expanding Our Horizons

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 2031**

**Number Systems and Operations for Elementary Teachers**

**(3 credits)**

*Prerequisite:*MATH 2030 and enrolled in the elementary teacher preparation program.

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 2032**

**Algebra and Geometry for Teachers**

**(3 credits)**

*Prerequisite:*Enrolled in mathematics and secondary education program; or MATH 2031 and enrolled in elementary education.

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 2100**

**Discrete Mathematics**

**(3 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Bioinformatics

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 2350**

**Foundations of Mathematics**

**(3 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Bioinformatics

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 2440**

**Calculus 3**

**(4 credits)**

*Prerequisite:*MATH 1455.

*Level of Study:*Undergraduate

**MATH 2450**

**Multivariable Calculus**

**(4 credits)**

*Prerequisite:*MATH 1451.

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 2451**

**Differential Equations**

**(4 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Fall Term, 2022 Summer Term

**MATH 2455**

**Differential Equations for Biomedical and Civil Engineers**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2021 Fall Term, 2020 Fall Term, 2019 Fall Term

**MATH 2780**

**Introduction to Regression and Classification**

**(3 credits)**

*Prerequisite:*MATH 1700 or an equivalent introductory statistics course.

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2022 Spring Term

**MATH 3100**

**Linear Algebra and Matrix Theory**

**(3 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 3520**

**Operational Methods in Physics and Engineering**

**(3 credits)**

*Prerequisite:*MATH 2450.

*Level of Study:*Undergraduate

*Last four terms offered:*2007 Spring Term

**MATH 3570**

**Introduction to Data Science**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Spring Term, 2021 Fall Term

**MATH 3700**

**An Introduction to Modeling with Simulation and Scientific Computing**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term

**MATH 3977**

**Problem Solving: Putnam Competition**

**(1 credits)**

*Prerequisite:*Cons. of instr.

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2021 Fall Term, 2020 Fall Term, 2019 Fall Term

**MATH 4020**

**The Teaching of Mathematics**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2020 Fall Term, 2018 Fall Term, 2017 Fall Term

**MATH 4030**

**Concepts in Geometry and Calculus from an Advanced Standpoint**

**(3 credits)**

*Prerequisite:*MATH 4420, and six additional cr. hrs. of upper division MATH courses, and cons. of dept. ch.

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Spring Term, 2021 Spring Term, 2019 Spring Term, 2017 Spring Term

**MATH 4040**

**Concepts in High School Algebra and Number Theory from an Advanced Standpoint**

**(3 credits)**

*Prerequisite:*Admitted to the College of Education.

*Level of Study:*Undergraduate

*Last four terms offered:*2016 Spring Term, 2014 Spring Term, 2012 Spring Term, 2010 Spring Term

**MATH 4120**

**Abstract Algebra 1**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2021 Fall Term, 2020 Fall Term, 2019 Fall Term

**MATH 4121**

**Abstract Algebra 2**

**(3 credits)**

*Prerequisite:*MATH 4120.

*Level of Study:*Undergraduate

*Last four terms offered:*2021 Spring Term, 2019 Spring Term, 2017 Spring Term, 2016 Spring Term

**MATH 4200**

**Intermediate Analysis 1**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2021 Fall Term, 2019 Fall Term, 2017 Fall Term, 2015 Fall Term

**MATH 4201**

**Intermediate Analysis 2**

**(3 credits)**

*Prerequisite:*MATH 4200.

*Level of Study:*Undergraduate

**MATH 4210**

**Complex Variables**

**(3 credits)**

*Prerequisite:*MATH 2450.

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Spring Term, 2020 Spring Term, 2018 Spring Term, 2016 Spring Term

**MATH 4310**

**History of Mathematical Ideas**

**(3 credits)**

*Prerequisite:*Jr. stndg. or cons. of dept. ch.

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2021 Spring Term, 2019 Spring Term, 2017 Spring Term

**MATH 4320**

**Theory of Numbers**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2022 Spring Term, 2020 Spring Term, 2018 Spring Term

**MATH 4420**

**Foundations of Geometry**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2021 Fall Term, 2020 Fall Term, 2019 Fall Term

**MATH 4450**

**Topology**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2021 Spring Term, 2019 Spring Term, 2017 Spring Term

**MATH 4500**

**Theory of Differential Equations**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2020 Fall Term, 2018 Fall Term, 2016 Fall Term, 2014 Fall Term

**MATH 4510**

**Elementary Partial Differential Equations**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2021 Spring Term, 2019 Spring Term, 2017 Spring Term, 2015 Spring Term

**MATH 4540**

**Numerical Analysis**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2021 Fall Term, 2020 Fall Term, 2019 Fall Term

**MATH 4630**

**Mathematical Modeling and Analysis**

**(3 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2023 Spring Term, 2022 Spring Term, 2021 Fall Term, 2021 Spring Term

**MATH 4650**

**Theory of Optimization**

**(3 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2023 Spring Term, 2021 Spring Term, 2019 Spring Term, 2017 Spring Term

**MATH 4670**

**Applied Combinatorial Mathematics**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Spring Term, 2020 Spring Term, 2018 Spring Term, 2016 Spring Term

**MATH 4700**

**Theory of Probability**

**(3 credits)**

*Prerequisite:*MATH 2450.

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics, Cognitive Science

*Last four terms offered:*2022 Fall Term, 2021 Fall Term, 2020 Fall Term, 2019 Fall Term

**MATH 4710**

**Mathematical Statistics**

**(3 credits)**

*Prerequisite:*MATH 4700.

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2023 Spring Term, 2022 Spring Term, 2021 Spring Term, 2020 Spring Term

**MATH 4720**

**Statistical Methods**

**(3 credits)**

*Level of Study:*Undergraduate

*Marquette Core Curriculum:*NSM Expanding Our Horizons

*Interdisciplinary Studies:*Applied Mathematics Economics, Bioinformatics, Cognitive Science, Environmental Studies

*Last four terms offered:*2023 Summer Term, 2023 Spring Term, 2022 Fall Term, 2022 Spring Term

**MATH 4730**

**Introduction to R for Statistics and Data Science**

**(1 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term

**MATH 4740**

**Biostatistical Methods and Models**

**(3 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Bioinformatics, Cognitive Science, Environmental Studies

*Last four terms offered:*2023 Spring Term, 2022 Spring Term, 2020 Fall Term, 2019 Fall Term

**MATH 4750**

**Computational Statistics**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term

**MATH 4760**

**Time Series Analysis**

**(3 credits)**

*Level of Study:*Undergraduate

*Interdisciplinary Studies:*Applied Mathematics Economics

*Last four terms offered:*2022 Spring Term, 2020 Spring Term, 2018 Spring Term, 2016 Spring Term

**MATH 4770**

**Statistical Machine Vision**

**(3 credits)**

*Prerequisite:*Computer programming such as COSC 1010; introductory calculus such as MATH 1450; and statistical methods such as MATH 4720 or MATH 4740.

*Level of Study:*Undergraduate

**MATH 4780**

**Regression Analysis**

**(3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2022 Fall Term, 2021 Fall Term, 2020 Fall Term, 2019 Fall Term

**MATH 4790**

**Bayesian Statistics**

**(3 credits)**

*Prerequisite:*COSC 1010 or equiv.

*Level of Study:*Undergraduate

**MATH 4931**

**Topics in Mathematical or Statistical Sciences**

**(1-3 credits)**

*Level of Study:*Undergraduate

*Last four terms offered:*2023 Spring Term, 2022 Fall Term, 2022 Summer Term, 2022 Spring Term

**MATH 4953**

**Undergraduate Seminar**

**(3 credits)**

*Prerequisite:*Cons. of dept. ch.

*Level of Study:*Undergraduate

*Last four terms offered:*2007 Fall Term, 1990 Fall Term

**MATH 4987**

**Co-op Work Period**

**(0 credits)**

*Prerequisite:*Jr. stndg.

*Level of Study:*Undergraduate

*Last four terms offered:*2017 Fall Term, 2014 Spring Term, 2012 Spring Term, 2011 Fall Term

**MATH 4988**

**Co-op Grading Period**

**(1 credits)**

*Prerequisite:*Jr. stndg. and MATH 4987.

*Level of Study:*Undergraduate

*Last four terms offered:*2018 Spring Term, 2014 Fall Term, 2013 Fall Term, 2012 Fall Term

**MATH 4995**

**Independent Study in Mathematical or Statistical Sciences**

**(1-3 credits)**

*Prerequisite:*Cons. of dept. ch.

*Level of Study:*Undergraduate

*Last four terms offered:*2021 Spring Term, 2020 Spring Term, 2019 Spring Term, 2018 Fall Term

**MATH 4999**

**Senior Thesis**

**(2 credits)**

*Prerequisite:*Cons. of dept. ch.

*Level of Study:*Undergraduate

*Last four terms offered:*2016 Spring Term, 2015 Fall Term, 2015 Spring Term, 2014 Fall Term