What Does a Math Major Do

1. What Does a Math Major Do? What you can tell your Family and Friends about your Major

2. Overview What can I do in industry? Cool applications Why do they hire math people? Background and skills Where are these jobs? Where do Carroll grads go? Math at Carroll Courses and opportunities

3. Applications of Math in Industry Wavelets in the analysis of brain processes Brownian motion in modeling �limit� orders for financial products Representation and manipulation of complex geometry in computer-aided design of aircraft Analysis and modeling in turbulence studies and global warming Modeling of satellites and algorithms for centimeter-accurate orbit determination

4. More Applications Developing numerical methods for analysis of regurgitative flow in heart valves, spinal anesthetic fluid migration, and thermal increases in a growing fetus Modeling accretion disk around a black hole Matrix algebra optimization of managed investment portfolios Algorithms for optimization of transportation systems

5. More Applications Systems of differential equations to model patient�s response to chemotherapy treatments Complex dynamical systems analysis of power grid failures Bayesian spam filters for e-mail Kalman filters for atmospheric and oceanic modeling Eigenface analysis for face recognition and classification

6. How Do Mathematicians Do Their Work? Although a few mathematicians are clustered in one group that has a mathematical charter, most are scattered among engineers, physicists, and computer scientists, where they often function as �hunter-gatherers�, seeking a share of their support from mission-oriented project groups. Mathematicians here must extract the mathematics from the projects that need it. What kind of mathematicians are attractive? Mathematicians with the right mind set who want to solve problems rather than just do mathematics.

7. The role of a mathematician Problems never come in formulated as mathematics problems. A mathematician�s biggest contribution to a team is often an ability to state the right question. The most effective people are those who can interact, understand, translate. A key is being able to explain something outside your discipline.

8. What makes math grads special? In order of importance Logical, analytical skills Linking theory with applications Knowledge of algorithms and mathematical techniques Mathematical skills and expertise Computational skills

9. Professional Opportunities with a Mathematics Degree Engineering, particularly aerospace industry Computer applications Actuary � work for an insurance company Finance and Investing Teaching high school/community college Text book editor Graduate school in math, engineering, sciences Professional school � law, medical, MBA

10. Industry Opportunities with a Mathematics Degree Aerospace Computer Telecommunications Transportation (people, freight) Federal Government NSA (National Security Agency) NASA/JPL National Lab

11. Where are Carroll Graduates? Jennifer Stewart � math/chemistry � law school, Gonzaga Seth Blades � math/accounting � graduate school in hospital administration, UW Cassie Shelley � math/engineering � graduate school in mechanical engineering, Notre Dame Jaime Kopf � math/engineering � MS industrial engineering, UW

12. More Carroll Grads JD Emmert � Math/Engineering � graduate school in mechanical engineering, CU Michelle Kennedy � Math/Art � Dental school, Case Western Reserve Kayme May � Math/2ndary Ed � computer analyst, Northrup Grumman Rogie King � Math/Computer Science � web programmer, Travel Montana Ted Wendt � Math/Computer Science � graduate school in mathematics, U of Iowa

13. More� Kylan Johnson � Math/Computer Science � graduate school in computer science, U of Arizona Gary Olson � Math/2ndary Ed � graduate school in math & operations research, CU-Denver Sarah Papp � Math/2ndary Ed � teaching high school in Nevada Matt Zanto � Math/Computer Science � computer analyst, Blue Cross/Blue Shield

14. Math at Carroll Applied emphasis Course projects develop problem-solving skills, oral and written communication skills Concentration in some other field (biology, chemistry, physics, business, computer science, or whatever you want!)

15. Requirements for Math Major Fall Spring Freshman MA 131 Calculus 4 MA 232 Differential Equations and Linear Algebra I 4 Sophomore MA 233 Multivariable Calculus 4 MA 334 Differential Eqns and Linear Algebra II 4 MA 336 Prob & Stat I 2 Junior MA 341 Prob. & Stats. II 3 MA 342 Numerical Computing 3 MA 328 Discrete Math 3 MA 301 Foundations of Math 3 MA 366 Junior Seminar 1 Senior MA 401 Abstract Algebra and MA 4xx Honors Thesis/Project 3 Applied Geometry 3 MA 421 Optimization 3

16. Math Major Starting Soph Year Fall Spring Sophomore MA 131 Calculus 4 MA 232 Differential Equations and Linear Algebra I 4 MA 336 Prob & Stat I 2 Junior MA 233 Multivariable Calculus 4 MA 334 Differential Eqns and MA 341 Prob. & Stats. II 3 Linear Algebra II 4 MA 301 Foundations of Math 3 MA 366 Junior Seminar 1 Senior MA 328 Discrete Math 3 MA 342 Numerical Computing 3 MA 401 Abstract Algebra and MA 4xx Honors Thesis/Project 3 Applied Geometry 3 MA 421 Optimization 3

17. First two years of math curriculum Two other 3-credit courses from - MA 341 Probability & Statistics II - MA 342 Numerical Computing - MA 421 Optimization - MA 328 Discrete Math - MA 301 Foundations - MA 401 Abstract algebra/geometry Math Minor

18. Special Opportunities Mathematical Contest in Modeling Big Sky Conference Putnam Exam Mentoring Program Independent Research Astrophysics Montana Space Grant Consortium Balloon Project Research Experiences for Undergraduates (REU) Summer Internships JPL NSA

19. Cool Websites http://www.ucfv.bc.ca/math/joblist.htm http://www.maa.org/students/career.html http://www.siam.org/students/career.htm http://www.ams.org/employment/undergrad.html http://www.youngmath.net/concerns/section/Undergrad http://math.usask.ca/document/netinfo/careers.html