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Morris Campus

# Statistics B.A.

Division of Science & Mathematics - Adm
Division of Science and Mathematics
• Program Type: Baccalaureate
• Requirements for this program are current for Spring 2022
• Required credits to graduate with this degree: 120
• Required credits within the major: 42
• Degree: Bachelor of Arts
The mission of the discipline is to create and apply statistical methods for collecting, storing, exploring, analyzing, processing and communicating qualitative/quantitative information and to disseminate this knowledge through teaching, scholarly activity, collaboration and outreach. Statistics is the science and art of enhancing knowledge in the face of uncertainty. In our information age, statistics and data science are central to solving problems in the environment, medicine, law, industry, technology, finance, business, public policy, computing, and science in general. The need for statistics applies to almost every area of our lives. The statistics program provides an operational knowledge of the theory and methods of statistics and the application of statistical methods in a liberal arts environment. It seeks to enhance students' critical thinking in making judgments based on data and provides students with the basic knowledge and skills to make contributions to modern society. Students learn to communicate and collaborate effectively with people in other fields and understand the substance of these fields. The curriculum prepares students to enter graduate school or pursue careers in statistics and data science. The statistics discipline has the following student learning objectives:  Students will gain the ability to make contributions to society through knowledge of statistical theory and statistics applied to other disciplines.  Students will sharpen their ability to extract useful information from data.  The statistics curriculum will enhance students understanding of the mathematical foundations of statistical theory and methods.  The curriculum will prepare students to enter graduate school, and pursue careers in applied statistics.  Students will be able to communicate statistical ideas and results effectively using presentation skills and visualizations. The curriculum is designed to ensure that students are able to demonstrate the following outcomes:  Model and solve real-world problems by analyzing them statistically, and determine an appropriate approach towards its solution.  Write, read, and construct proofs of key statistical results.  Create estimated models, data displays, and new datasets to address problems using computing tools.  Demonstrate basic knowledge of calculus, analysis, linear algebra, probability, and describe their importance to statistics.  Demonstrate students have background to be employed or gain admission to graduate school.  Meet the requirements for employment in professions such as actuarial science and data science.  Describe and explain a theorem, statistical model, and results of a statistical analysis to a non-specialist audience.
Program Delivery
This program is available:
• via classroom (the majority of instruction is face-to-face)
Admission Requirements
For information about University of Minnesota admission requirements, visit the Office of Admissions website.
General Requirements
All students are required to complete general University and college requirements. For more information, see the general education requirements.
Program Requirements
Students are required to complete 2 semester(s) of any second language. with a grade of C-, or better, or S, or demonstrate proficiency in the language(s) as defined by the department or college.
The GPA in these courses must be at least 2.00. Courses may not be taken S-N, unless offered S-N only. Recommended electives for students planning to pursue graduate work in statistics or biostatistics:  MATH 2101 - Calculus III  MATH 6111 - Linear Algebra Recommended electives (beyond those listed for graduate work) for students planning to pursue a PhD in statistics or biostatistics:  MATH 2202 - Mathematical Perspectives  MATH 3221 - Real Analysis I
Required Courses
MATH 1101 - Calculus I [M/SR] (5.0 cr)
MATH 1102 - Calculus II [M/SR] (5.0 cr)
STAT 2501 - Probability and Stochastic Processes [M/SR] (4.0 cr)
STAT 2611 - Mathematical Statistics [M/SR] (4.0 cr)
STAT 3601 - Data Analysis [M/SR] (4.0 cr)
STAT 3901 - Statistical Communication (2.0 cr)
STAT 4901 - Senior Seminar (2.0 cr)
STAT 1601 - Introduction to Statistics [M/SR] (4.0 cr)
or STAT 2601 - Statistical Methods [M/SR] (4.0 cr)
Elective Courses
Take 8 or more credit(s) from the following:
· STAT 1993 - Directed Study (1.0-5.0 cr)
· STAT 2701 - Introduction to Data Science [M/SR] (4.0 cr)
· STAT 2993 - Directed Study (1.0-5.0 cr)
· STAT 3501 - Survey Sampling [M/SR] (4.0 cr)
· STAT 3611 - Multivariate Statistical Analysis [M/SR] (4.0 cr)
· STAT 3993 - Directed Study (1.0-5.0 cr)
· STAT 4601 - Biostatistics (4.0 cr)
· STAT 4631 - Design and Analysis of Experiments (4.0 cr)
· STAT 4651 - Applied Nonparametric Statistics (4.0 cr)
· STAT 4671 - Statistical Computing (4.0 cr)
· STAT 4681 - Introduction to Time Series Analysis (4.0 cr)
· STAT 4993 - Directed Study (1.0-5.0 cr)
Additional Elective Courses
Choose from the list below or from courses with faculty approval.
Take 4 or more credit(s) from the following:
· CSCI 1201 - Introduction to Digital Media Computation [M/SR] (4.0 cr)
· CSCI 1251 - Computational Data Management and Manipulation [M/SR] (4.0 cr)
· CSCI 1301 - Problem Solving and Algorithm Development [M/SR] (4.0 cr)
· CSCI 1302 - Foundations of Computer Science [M/SR] (4.0 cr)
· CSCI 4403 - Systems: Data Mining (4.0 cr)
· CSCI 4458 - Systems: Bioinformatic Systems (4.0 cr)
· CSCI 4555 - Theory: Neural Networks and Machine Learning (4.0 cr)
· ECON 3501 - Introduction to Econometrics [M/SR] (4.0 cr)
· GEOG 3501 - Geographic Information Systems [ENVT] (4.0 cr)
· GEOL 2161 - GIS and Remote Sensing [SCI] (4.0 cr)
· MATH 2101 - Calculus III [M/SR] (4.0 cr)
· MATH 2202 - Mathematical Perspectives [M/SR] (4.0 cr)
· MATH 3111 - Linear Algebra (4.0 cr)
· MATH 3221 - Real Analysis I (4.0 cr)
· MATH 3401 - Operations Research (4.0 cr)
· POL 2001W - Political Science Research Methods [SS] (4.0 cr)
· PSY 2001 - Research Methods in Psychology [SS] (4.0 cr)
· SOC 3103 - Research Methodology in Sociology (4.0 cr)
· SOC 3131 - World Population [ENVT] (4.0 cr)
 View college catalog(s): · Division of Science and Mathematics View sample plan(s): · Statistics 1 · Statistics 2 View checkpoint chart: · Statistics B.A. View PDF Version:
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MATH 1101 - Calculus I (M/SR)
 Credits: 5.0 [max 5.0] Typically offered: Every Fall & Spring
Limits and continuity; the concepts, properties, and some techniques of differentiation, antidifferentiation, and definite integration and their connection by the Fundamental Theorem. Partial differentiation. Some applications. Students learn the basics of a computer algebra system. prereq: 1012, 1013 or placement
MATH 1102 - Calculus II (M/SR)
 Credits: 5.0 [max 5.0] Typically offered: Every Fall & Spring
Techniques of integration. Further applications involving mathematical modeling and solution of simple differential equations. Taylor's Theorem. Limits of sequences. Use and theory of convergence of power series. Students use a computer algebra system. prereq: 1101
STAT 2501 - Probability and Stochastic Processes (M/SR)
 Credits: 4.0 [max 4.0] Course Equivalencies: Math 2501/Stat 2501 Typically offered: Periodic Fall
Same as Math 2501. Probability theory; set theory, axiomatic foundations, conditional probability and independence, Bayes' rule, random variables. Transformations and expectations; expected values, moments and moment generating functions. Common families of distributions; discrete and continuous distributions. Multiple random variables; joint and marginal distributions, conditional distributions and independence, covariance and correlation, multivariate distributions. Properties of random sample and central limit theorem. Markov chains, Poisson processes, birth and death processes, and queuing theory. prereq: Math 1101 or instr consent
STAT 2611 - Mathematical Statistics (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Introduction to probability theory. Principles of data reduction; sufficiency principle. Point estimation; methods of finding and evaluating estimators. Hypothesis testing; methods of finding and evaluating tests. Interval estimation; methods of finding and evaluating interval estimators. Linear regression and ANOVA. prereq: Math 1101
STAT 3601 - Data Analysis (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall
Nature and objectives of statistical data analysis, exploratory and confirmatory data analysis techniques. Some types of statistical procedures; formulation of models, examination of the adequacy of the models. Some special models; simple regression, correlation analysis, multiple regression analysis, analysis of variance, use of statistical computer packages. prereq: 1601 or 2601 or 2611 or instr consent
STAT 3901 - Statistical Communication
 Credits: 2.0 [max 2.0] Grading Basis: A-F only Typically offered: Every Spring
Finding and utilizing sources of statistical information including data. Techniques for searching statistical literature, as well as reading and interpreting these sources. Principles of technical writing and communication in statistics. Writing, editing, and revising an extensive review paper on a statistical topic. Collaboration and statistical consulting skills needed for clients and project teams, explaining analyses, and writing reports understandable to non-statisticians. Attendance at senior seminar presentations is required. prereq: stat major, jr or sr status or instr consent
STAT 4901 - Senior Seminar
 Credits: 2.0 [max 2.0] Grading Basis: S-N only Typically offered: Every Fall
Required for all statistics majors. Seminar on student-selected statistical topics. Includes preparation and presentation of a seminar based on original research, a data analysis, or results of a detailed study of a topic in statistics. Begins in fall semester and continues all year. Students attend year round and present one of the seminars in Spring semester. Requires attendance and a presentation in addition to regular class meetings. prereq: 3901, sr status
STAT 1601 - Introduction to Statistics (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall & Spring
Scope, nature, tools, language, and interpretation of elementary statistics. Descriptive statistics; graphical and numerical representation of information; measures of location, dispersion, position, and dependence; exploratory data analysis. Elementary probability theory, discrete and continuous probability models. Inferential statistics, point and interval estimation, tests of statistical hypotheses. Inferences involving one and two populations, ANOVA, regression analysis, and chi-squared tests; use of statistical computer packages. prereq: high school higher algebra
STAT 2601 - Statistical Methods (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall
Descriptive statistics, elementary probability theory; laws of probability, random variables, discrete and continuous probability models, functions of random variables, mathematical expectation. Statistical inference; point estimation, interval estimation, tests of hypotheses. Other statistical methods; linear regression and correlation, ANOVA, nonparametric statistics, statistical quality control, use of statistical computer packages. prereq: Math 1101 or Math 1021
STAT 1993 - Directed Study
 Credits: 1.0 -5.0 [max 10.0] Typically offered: Every Fall & Spring
An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum.
STAT 2701 - Introduction to Data Science (M/SR)
 Credits: 4.0 [max 4.0] Course Equivalencies: CSci 2701/Stat 2701 Prerequisites: Stat 1601 or Stat 2601 or Stat 2611, CSci 1201 or CSci 1301 or CSci 1251 or # Typically offered: Every Spring
Same as CSci 2701. Introduction to data science and informatics and their application to real world scenarios. Computational approaches to data types; database creation including technologies such as SQL/no-SQL; data visualization; data reduction, condensation, partitioning; statistical modeling; and communicating results. prereq: Stat 1601 or Stat 2601 or Stat 2611, CSci 1201 or CSci 1301 or CSci 1251 or instr consent
STAT 2993 - Directed Study
 Credits: 1.0 -5.0 [max 10.0] Typically offered: Every Fall & Spring
An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum.
STAT 3501 - Survey Sampling (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Fall Even Year
Introduction to basic concepts and theory of designing surveys. Topics include sample survey designs including simple random sampling, stratified random sampling, cluster sampling, systemic sampling, multistage and two-phase sampling including ratio and regression estimation, Horvitz-Thomson estimation, questionnaire design, non-sampling errors, missing value-imputation method, sample size estimation, and other topics related to practical conduct of surveys. prereq: 1601 or 2601 or instr consent
STAT 3611 - Multivariate Statistical Analysis (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Analysis of categorical data. Loglinear models for two- and higher-dimensional contingency tables. Logistic regression models. Aspects of multivariate analysis, random vectors, sample geometry and random sampling, multivariate normal distribution, inferences about the mean vector, MANOVA. Analysis of covariance structures: principal components, factor analysis. Classification and grouping techniques: discrimination and classification, clustering, use of statistical computer packages. prereq: 1601 or 2601 or 2611 or instr consent
STAT 3993 - Directed Study
 Credits: 1.0 -5.0 [max 10.0] Typically offered: Every Fall & Spring
An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum.
STAT 4601 - Biostatistics
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Design and analysis of biological studies: biological assays, case-control studies, randomized clinical trials, factorial designs, repeated measures designs, observational studies, and infectious disease data. Analysis of survival data: basic concepts in survival analysis, group comparisons, and Cox regression model. Use of statistical computer packages. prereq: 1601 or 2601 or 2611 or instr consent
STAT 4631 - Design and Analysis of Experiments
 Credits: 4.0 [max 4.0] Typically offered: Periodic Fall & Spring
Design and analysis of experimental designs; blocking, randomization, replication, and interaction; complete and incomplete block designs; factorial experiments; crossed and nested effects; repeated measures; confounding effects. prereq: 3601 or instr consent
STAT 4651 - Applied Nonparametric Statistics
 Credits: 4.0 [max 4.0] Typically offered: Periodic Fall & Spring
Application of nonparametric statistical methods. Examples use real data, gleaned primarily from results of research published in various journals. Nonparametric inference for single samples, paired samples, and independent samples, correlation and concordance, nonparametric regression, goodness-of-fit tests, and robust estimation. prereq: 1601 or 2601 or 2611 or instr consent
STAT 4671 - Statistical Computing
 Credits: 4.0 [max 4.0] Typically offered: Periodic Summer
Entering, exploring, modifying, managing, and analyzing data by using selected statistical software packages such as R or SAS. The use of statistical software is illustrated with applications of common statistical techniques and methods. Designed for students who have a basic understanding of statistics and want to learn the computing tools needed to carry out an effective statistical analysis. prereq: 1601 or 2601 or 2611 or instr consent
STAT 4681 - Introduction to Time Series Analysis
 Credits: 4.0 [max 4.0] Typically offered: Fall Odd Year
Introduction to the analysis of time series including those with a connection to environment such as spatial and spatio-temporal statistics. Randomness test, ARMA, ARIMA, spectral analysis, models for stationary and non-stationary time series, seasonal time series models, conditional heteroscedastic models, spatial random processes, covariance functions and variograms, interpolation and kriging. prereq: 3601 or instr consent
STAT 4993 - Directed Study
 Credits: 1.0 -5.0 [max 10.0] Typically offered: Every Fall & Spring
An on- or off-campus learning experience individually arranged between a student and a faculty member for academic credit in areas not covered in the regular curriculum.
CSCI 1201 - Introduction to Digital Media Computation (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Using images, sounds, and movies to introduce problem solving, data representation, data manipulation, and programming principles including recursion. Introduction to basic ideas in hardware, software, and computing.
CSCI 1251 - Computational Data Management and Manipulation (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall
Introduction to principles and practices of computational data management such as using advanced spreadsheet operations, designing and implementing algorithms to summarize and transform data sets, understanding organization of databases, writing and executing simple database queries, and creating effective data visualizations. Topics include basic issues of information security and introduction to modern technologies that support collaboration. [Note: no elective credit for CSci majors or minors]
CSCI 1301 - Problem Solving and Algorithm Development (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall
Introduction to different problem solving approaches, major programming paradigms, hardware, software, and data representations. Study of the functional programming paradigm, concentrating on recursion and inductively-defined data structures. Simple searching and sorting algorithms.
CSCI 1302 - Foundations of Computer Science (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Basic proof techniques, propositional and predicate logic, induction and invariants, program correctness proofs, basic summations, and simple Big-Oh analysis of algorithms.
CSCI 4403 - Systems: Data Mining
 Credits: 4.0 [max 4.0] Typically offered: Periodic Fall & Spring
This course provides a broad introduction to the data mining field. The topics covered are: Data exploration, transformation and preprocessing. Handling data quality problems. Supervised and unsupervised models. Cross-Validation. Performance measures. Feature generation and feature selection techniques to optimize models? performance. Underfitting and Overfitting. Data Visualization. Introduction to Deep Learning methods and applications. Using SQL to data mine large data sets. prereq: 2101 or instr consent
CSCI 4458 - Systems: Bioinformatic Systems
 Credits: 4.0 [max 4.0] Typically offered: Periodic Fall & Spring
Introduction to bioinformatics with an emphasis on computer systems. Possible topics include: utilizing software for genetic sequencing, large-scale data management using databases, algorithms for construction of phylogenetic trees, bioinformatic scripting, and other tools for bioinformatics. prereq: 3412 or instr consent
CSCI 4555 - Theory: Neural Networks and Machine Learning
 Credits: 4.0 [max 4.0] Typically offered: Periodic Fall & Spring
Study of the underlying theory, structure, and behavior of neural networks and of how neural networks compare to and can be used to supplement other methods of machine learning. Methods such as decision tree learning, inductive learning, reinforcement learning, supervised learning, and explanation-based learning are examined. Analysis of the strengths and weaknesses of various approaches to machine learning. Includes an implementation project. prereq: CSci 1302 or both Math 2202 and Math 3411, CSci 2101 or instr consent
ECON 3501 - Introduction to Econometrics (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Statistical techniques and statistical problems applicable to economics and management, focusing on ordinary least-squares regression, classical inference, and detections of and adjustments for violations of the classical assumptions. The course also briefly explores some advanced econometric topics in model specification, estimation, and prediction that include pooled and panel data models, instrumental variable estimation, two-stage least squares estimation, limited dependent variables and logistic regression. prereq: 3201 or 3202, Engl 1601 (or instr consent for students with college writing experience), Stat 1601 or Stat 2601
GEOG 3501 - Geographic Information Systems (ENVT)
 Credits: 4.0 [max 4.0] Typically offered: Periodic Fall & Spring
The theory and practice of Geographic Information Systems. Topics include data models, spatial statistics, and cartographic modeling. Special emphasis on social and environmental applications. (two 65-minute lect, one 120-minute lab session per week) prereq: any 1xxx course in social or natural sciences
GEOL 2161 - GIS and Remote Sensing (SCI)
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Introduction to design, development, and application of Geographic Information Systems (GIS); overview of acquisition and utility of satellite data and imagery; emphasis on applications in Earth and environmental sciences; lab component focuses on practical aspects of GIS development and use and involves original semester projects designed and implemented by individual students. prereq: 1101 or Biol 1101 or Biol 1111 or instr consent
MATH 2101 - Calculus III (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall & Spring
Multivariable and vector calculus. Three-dimensional analytic geometry; partial differentiation; multiple integration; gradient, divergence, and curl; line and surface integrals; divergence theorem; Green and Stokes theorems; applications. prereq: 1102 or instr consent
MATH 2202 - Mathematical Perspectives (M/SR)
 Credits: 4.0 [max 4.0] Typically offered: Every Spring
Introduction to the methodology and subject matter of modern mathematics. Logic, sets, functions, relations, cardinality, and induction. Introductory number theory. Roots of complex polynomials. Other selected topics. prereq: 1101
MATH 3111 - Linear Algebra
 Credits: 4.0 [max 4.0] Typically offered: Every Fall & Spring
Math majors are highly encouraged to take this course in their second year. Matrix algebra, systems of linear equations, finite dimensional vector spaces, linear transformations, determinants, inner-product spaces, characteristic values and polynomials, eigenspaces, minimal polynomials, diagonalization of matrices, related topics; applications. [Note: no credit for students who have received cr for Math 2111] prereq: 1102 or instr consent
MATH 3221 - Real Analysis I
 Credits: 4.0 [max 4.0] Prerequisites: 1102, 2202 or # Typically offered: Every Fall
Introduction to real analysis. The main topics of single-variable calculus-convergence, continuity, differentiation, and series as they are applied and extended in advanced settings with emphasis on precise statements and rigorous proofs. Structure of the real numbers, open and closed sets. Integration, metric spaces, and other topics and applications as time allows. prereq: 1102, 2202 or instr consent
MATH 3401 - Operations Research
 Credits: 4.0 [max 4.0] Prerequisites: 1101 or higher or # Typically offered: Every Spring
Topics include, but not limited to, linear and integer linear programming formulations, sensitivity analysis and duality, network models and applications. prereq: 1101 or higher or instr consent
POL 2001W - Political Science Research Methods (SS)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall
Students conceive and develop research questions and hypotheses; collect and critically review published research on their topic; analyze empirical evidence using statistical software; and write clearly, forcefully, and logically about their research. Examination of the philosophy and critiques of social-science methods. prereq: any 1xxx-level UMM Pol course, major or minor or instr consent
PSY 2001 - Research Methods in Psychology (SS)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall & Spring
Design, analysis, and interpretation of research in psychology. Instruction on different research techniques and ethics in research. Students conduct, analyze, and evaluate empirical research and gain experience preparing APA-style research reports. Includes laboratory/discussion sessions. prereq: 1051, Stat 1601 or Stat 2601, or instr consent
SOC 3103 - Research Methodology in Sociology
 Credits: 4.0 [max 4.0] Prerequisites: 1101 Typically offered: Every Fall
An introduction to research procedures used in sociology. Developing a research design and applying it to a concrete problem. Questions of validity and reliability examined in the context of research projects developed by the students. prereq: 1101
SOC 3131 - World Population (ENVT)
 Credits: 4.0 [max 4.0] Typically offered: Every Fall
Population theory and demographic method. Dynamics of fertility and mortality as the basis of population forecasting and its policy implications. Emphasis on the tie between Third World demographic trends and population issues in the rest of the world. prereq: 1101 or instr consent