Students develop expertise in applied mathematics, and supplement math courses with courses in other fields. Biology, chemistry, computer science, and engineering are integrated with mathematic theory. Majors go on to attend graduate schools like MIT, Notre Dame, and Carnegie Mellon, and have successful careers in business, science, government, engineering and education. Carroll teams have placed as "Outstanding" (the top 1%) three times in the international Interdisciplinary Contest in Modeling in the past nine years.

# Mathematics

ACAD_PROGRAMS_ID:

MATH.BA

ACPG_TITLE:

Mathematics

ACPG_DEPTS:

MTH

DEPTS_DESC:

Mathematics

### MA 321 - Math in the Mountains

3.00 CrMath in the Mountains is an interdisciplinary course in which students engage in a hands-on learning experience using mathematical modeling to understand current major societal issues of local and national interest. The course is run in collaboration with local businesses, research centers, non-profits, and government organizations that provide data so that teams of students can act as consultants throughout the course thus creating strong connections between Carroll College and the greater Helena community, while engaging in a learning and discovery process. This one-semester upper-level course is open to mathematics and non-mathematics majors at the sophomore level and above.

### MA 141 - Intro to Mathematical Modeling

4.00 CrThis course is an introduction to sequences, difference equations, differential calculus, differential equations, and linear algebra. This is the first course in a two semester, eight credit, sequence in differential equations and linear algebra. Specific topics include analytical and numerical solutions to difference equations and first-order and second-order linear differential equations, separation of variables, the method of undetermined coefficients, phase line analysis, stability of equilibrium, systems of equations, matrix equations, determinants, matrix inverses, Gaussian elimination, and eigenvalues and eigenvectors. There is a heavy emphasis on mathematical modeling and applications. We use technology extensively, and we also focus on learning how to explain mathematics orally and in writing. Prerequisite: High school mathematics through pre-calculus. A basic understanding of differential calculus is strongly recommended.

### MA 314 - Prob & Stats for Engineers

2.00 CrThis course is a calculus-based introduction to the topics in probability and statistics that are necessary in engineering. Topics to be covered include the normal, binomial, and Poisson distributions, hypothesis tests, and confidence intervals. Particular attention will be given to applications in the sciences and engineering. This course includes an introduction to the R statistics language. Note: this course is identical to the first 10 weeks of MA 315. Students may not receive credit for both MA 314 and MA 315.

### MA 315 - Probability and Statistics

3.00 CrThis course provides a calculus-based introduction to probability and statistics. After a brief introduction to probability, this course will focus on statistics with a strong emphasis on experimental design. Topics to be covered include the normal, binomial, and Poisson distributions, hypothesis tests, confidence intervals, ANOVA, design of experiments, and least squares regression. Particular attention will be given to applications in the sciences and engineering. This course includes an introduction to the R statistics language.

04/13/2017 - 7:00pm to 8:30pm

03/16/2017 - 7:00pm to 8:30pm

02/16/2017 - 7:00pm to 9:00pm

## Math in the Mountains

*Note: This article originally appeared in the 2016 edition of Carroll Magazine and has been adapted for the web*

**MA - Math with Operations Research Concentration 4-Year Plan 2015-16**

Four year plan for Math with Operations Research Concentration 2015-16.

**MA - Math with Environmental Science 4-Year Plan 2015-16**

Four year plan for Math with Environmental Science 2015-16.