Mathematics

Through the study of mathematics, one gains analytical, critical thinking, and problem solving skills as well as understanding of logic and reasoning which are valuable in most careers. For those interested in applying mathematical and statistical methods to finance and insurance, there is actuarial science. Those interested in applying problem solving skills to make optimal decisions, maximizing or minimizing quantities such as profit or cost, respectively, may find operations research an area for further study and an interesting career. Knowledge of probability, linear algebra, number theory, and abstract algebra are the basis for mathematical cryptography, the construction and security analysis of cryptosystems (or, if you prefer, the art of writing and solving of codes) used in, among other things, the security of credit cards and computer passwords. Knowledge of mathematics and statistics can enable one to work as a biostatistican helping doctors with medical research through the design of medical studies and the analysis of research data as well as for companies developing new medications. More generally, the study of mathematics can lead to careers in accountancy, finance, banking, engineering, meteorology, industry, academia and research, and teaching.

Recent graduates of the Framingham State Mathematics Department have begun successful careers in finance, data analysis, software engineering and actuarial work. Other alumni are teaching at the elementary or secondary education levels.

Careers in mathematics rank highly among most job rating sites. In the 2017 rankings on JobsRated.com, statistician, mathematician and data scientist all ranked in the top 10 for careers.  CareerCast ranked mathematician, statistician, and actuary as numbers 1, 3, and 4, respectively, on its list of The 10 Best Jobs of 2014. CareerCast included mathematics among the nations best for 2015 as well, stating that careers in mathematics "offer abundant opportunities for advancement and, most surprisingly, often deviate from common perceptions about math." Mathematician, statistician, and actuary remain in the top-10 for best jobs of 2015; they change in ranking to numbers 3, 4, and 1, respectively, on the list. Jenna Goudreau's May 15, 2012 Forbes article "The 15 Most Valuable College Majors", ranks majors in applied mathematics, mathematics, and statistics among "the 15 most valuable majors in the current marketplace", stating that these majors "are increasingly in demand and well-paid."

So, if you are interested in a program of study that leads to in-demand skills and diverse career opportunities and if you enjoy the challenge of analysis, modeling, and problem solving then mathematics is the major for you.

Program Learning Objectives

1. Students will be able to construct mathematical proofs, making use of correct math-
ematical terminology and rules of logic, using a variety of proof techniques, including
direct argument, proof by contradiction, and mathematical induction.

2. Students will be able to solve applied mathematics problems using clear, well-written and accurate explanations throughout their solutions.

3. (MAE concentration) Students will be able to explain elementary-school mathematical concepts orally and in writing, using multiple techniques, in a manner appropriate for an elementary-school audience.

4. (MAT concentration) Students will be able to explain middle and/or high school mathematical concepts orally and in writing, using multiple techniques, in a manner appropriate for a middle and/or high school audience.

5. (MAG concentration) Students will be able to communicate advanced mathematical concepts clearly and precisely to an audience of peers and faculty.