# Statistics Minor

22 credits

**Why statistics?**

The Statistics minor is designed to give students a good introduction to the application and theory of statistics.

**Goes great with:**

- Accounting
- Entrepreneurship
- Human Resource Management
- Marketing
- Sport Management

(From the 2013-15 Catalog)

A. **Calculus Core**

All of the following:

(Either M148 and M149 or M151)

M148 - Calculus with Precalculus I (4 credits)

This course, followed by M149, provides a two-semester sequence that covers the material of a traditional Calculus I course along with built-in coverage of precalculus topics. Topics in M148 include: solving equations, functions, classes of functions (polynomial, rational, algebraic, exponential, logarithmic), right triangle trigonometry, angle measure, limits and continuity, derivatives, rules for derivatives. Credit is not granted for this course and M151 or courses equivalent to college algebra and college trigonometry.

Prerequisite: mathematics competency satisfied.

M149 - Calculus with Precalculus II (4 credits)

This course completes the two-semester sequence that begins with M148, and together with M148 provides a two-semester sequence that covers the material of a traditional Calculus I course along with built-in coverage of precalculus topics. Topics in M149 include: trigonometric and inverse trigonometric functions, rules for derivatives, applications of derivatives, and definite and indefinite integrals. Credit is not granted for this course and M151.

Prerequisite: M148.

This course provides an introduction to the differential and integral calculus. Topics include: the concepts of function, limit, continuity, derivative, definite and indefinite integrals, and an introduction to transcendental functions. Credit is not granted for this course and M148 and M149.

Prerequisites: departmental placement or courses equivalent to college algebra and college trigonometry.

M152 - Calculus II (4 credits)

This course is a continuation of M151. Some of the topics of M151 are revisited at a higher mathematical level. Topics include: applications of the definite integral, techniques of integration, improper integrals, introduction to differential equations, numerical methods for integration and approximation, curves in the plane given parametrically, polar coordinates, and vectors in 2-space and 3-space.

Prerequisite: Minimum grade of C in either M149 or M151 or departmental placement.

M251 - Calculus III (4 credits)

This course continues the development of Calculus from M151 and M152. Topics include: sequences and series, and differentiation and integration of vector-valued functions and functions of several variables.

Offered fall semester. Prerequisite: Minimum grade of C in M152.

B. Both of the following:

M332 - Probability (2 credits)

This calculus-based course is designed to provide mathematics majors and minors with an introduction to the mathematical underpinnings of statistics. Topics include: probability axioms, probability, Bayesﾒ Theorem, random variables, discrete and continuous probability distributions, and expected value.

Offered spring semester. Prerequisite: M152.

ST232 - Introduction to Statistics (2 credits)

This course is designed to provide the basic ideas and techniques of statistics. Topics include: descriptive and inferential statistics, an intuitive introduction to probability, estimation, hypothesis testing, chi-square tests, regression and correlation. This course makes significant use of appropriate technology. Topics in this course are treated at a higher mathematical level than they are treated in ST132. Credit is not granted for this course and any of the following: BU215, B392 or ST132.

Offered fall semester. Prerequisite: departmental placement or minimum C grade in M148.

Prerequisites:

M115 College Algebra

B. Two statistics courses of the following:

ST350-359 - Special Topics (3 credits)

Selected topics in statistics may be offered depending on student interest.

ST371 - Applied Regression Analysis (3 credits)

This course provides students with an introduction to linear and non-linear models in statistics. Topics include: linear regression, multiple regression, one-, two-, and higher-way analysis of variance, and popular experimental designs. Real-world problems are analyzed using appropriate technology.

Prerequisites: M251, M332, and ST232.

ST373 - Design of Experiments (3 credits)

This course provides an introduction to the principles of the design of experiments from a statistical perspective. Topics include: Analysis of variance, covariance, randomization, completely randomized, randomized block, Latin-square, factorial, response surface methods and other designs.

Prerequisites: M152 and ST232.

ST431 - Mathematical Statistics I (3 credits)

This course provides a mathematical treatment of probability and statistics. Topics include: several descriptions of the concept of probability, univariate and bivariate probability distributions, joint and marginal probability distributions, covariance, hypothesis testing, estimation, data analysis, and sampling distributions.

Prerequisites: M332 (may be concurrent) and ST232.

ST496/497 - Statistics Internship (1-17 credits)

This opportunity provides the student with experience and training in statistical techniques. The internship must be approved by the department and, depending on the nature of the internship, may be counted towards the major. Students usually are expected to give a presentation following the experience.

Kevin Dennis, Ph.D.

Chair, Mathematics & Statistics Department

Saint Mary's University of Minnesota

700 Terrace Heights #59

Winona, MN 55987-1399

(800) 635-5987, Ext. 6650

kdennis@smumn.edu