Career Opportunities for Mathematics Majors [1]
Where are our students getting internships and fulltime jobs and going to graduate school?
 (November 2017): Congratulations to some of our primary majors graduating this fall and accepting fulltime jobs at BAE, NSA, Microsoft, Optum, SunLife, The Hartford, and National Life Group Insurance.
 (April 2017): Students have internships lined up in Data Science at Optum and at Draper Labs and in Cybersecurity at the Army Research Labs and at MITRE. Actuarial students have internships at MassMutual, Aetna, Sun Life and The Hartford. Three students will take internships at the Hanover, one at Morgan Stanley, one with the Navy in Newport, RI. Students are taking fulltime jobs at Aflac, AllState, 2Is, Epic, IBM, Liberty Mutual, Mass DOT, Mass General Hospital, MassMutual, Newgrange Design, Sun Life, State Street, PSolve, The Hartford, the Hanover, and United Health/Optum. Students are off to PhD programs at the Brown (Algebraic Geometry), Columbia (Statistics), WPI (Data Science), UMass (Algebraic Geometry), and MIT (Philosophy/Logic). One student is pursuing a Masters at the University of Waterloo in Combinatorics, while others will pursue Masters in Applied Math or Statistics or Business/Data Science or a Masters in Education on campus.
 (March 2016): Three actuarial students are taking jobs or internships at Sun Life Insurance in Wellseley. Two are going to the Hanover, two to Liberty Mutual, and one to the Hartford. One senior accepted a job at Goldman Sachs in New York. Other actuarial students have internships at Mass Mutual and Towers Watson. Two students in applied math are going to Epic (Health Software) in Madison, WI. One student has an internship at United Health and another at Chase Bank (in New York). One junior will be working at State Street this summer. A recent alum has been accepted to the Epidemiology Masters Program at Johns Hopkins. A senior in pure math has been accepted to the PhD programs at Michigan State and UConn. Two current seniors will be enrolling in our own Applied Math Masters Program and one in our PhD program. An applied math sophomore is taking an internship and coop position at Air Worldwide doing weather modeling. An actuarial junior is taking an internship and coop position at John Hancock. A sophomore has just been accepted to an internship at the Scripps Institution of Oceanography at UCSan Diego and a junior double majoring in chemistry to one at UC Merced. Another student will be doing an REU at the University of Maryland this summer. A senior, also majoring in chemistry, will attend Columbia's MDPhD program in the fall. A junior in applied math and statistics will do an internship at 2Is, an Engineering and Software Services company in Walpole, MA. A sophmore will do an internship at Fidelity Investments in asset management. A junior is taking a parttime job for the summer at REMI focusing on economic modeling.
To Potential Employers of Our Majors
To reach our undergrads, there are two ways: you can write to the Chief Undergraduate Advisor [2] or post your job to Career Connect. [3] The former will reach all math majors immediately, while the latter will reach all undergraduates when they intiate a search for jobs and internships.
Career Services
Career Services for math majors will now be handled mainly at the collegelevel (CNS). See the new CNS Career Services webpage [4]. Students can make appointments with the professional advisors using SSC [5] or dropin to meet with a peer advisor. Of particular interest on the webpage are new tools to help you hone your interview skills. Check out the internships that they post [6] on their webpage.
Central Career Services [7] still has many tools and resources to assist you in your career search. Located in 511 Goodell, Career Services offers counseling on resume writing and interviewing, coordinates oncampus job fairs and interviews, and keeps extensive listings of job openings and advertisements for all fields and majors. All students should join Career Connect [3], which is a database of jobs and internships. Joining Career Connect will also trigger a weekly email with jobrelated events on campus.
General Recommendations for all Career Paths
In the past half century there has been a great increase in the importance of mathematics to our society. The need for trained mathematicians at all levels is on the rise as the use of computers and automation has spread to almost all sectors of our economy. Nowadays, technological, engineering and business problems are often of such complexity that they require a high level of mathematical treatment. Whereas in the past advanced mathematics was generally restricted to the physical sciences and engineering, today there is an ever growing demand for mathematical expertise in the biological and social sciences, as well as in finance and business management and the burgeoning field of data science.
Every student should carefully consider the following five points when deciding on a course of studies during the undergraduate major.

A balanced set of core courses in mathematics and statistics.
Of course, many of those courses will be determined by the major concentration, which in turn depends on the intended career path. But every student should be sure to take a good balance of courses. Especially, there should be some mix of mathematics with statistics, and of theoretical and pure courses with applied courses. This kind of balance is really crucial for those students who will pursue work in the nonacademic world, and for students who intend to undertake interdisciplinary graduate studies. Even students who plan to enroll in graduate studies in mathematics or statistics, or will train to be secondary school teachers, should make sure that they have sufficient breadth at the undergraduate level in order to take full advantage of their later studies.

An extensive exposure to computing.
One of the main reasons that mathematics and statistics are of such importance in the modern world is that they are so closely allied with computation of all sorts. In virtually every profession based on mathematical or statistical knowledge, computing plays a key role. For this reason, students should take enough courses in computer science, scientific computing or information technology to gain expertise with computational techniques and platforms.

Some coherent studies in another related field.
It is highly desirable for a student to develop a base of knowledge in another field related to mathematics or statistics. For instance, a successful career might be built on a mathematics major together with a minor in computer science, finance, economics, physics, chemistry, biology, public health or a branch of engineering. If a minor is not feasible, then it is advisable to take a few related courses that complement the studies in the major.

An array of "soft" skills.
Mathematics and statistics are "hard" sciences in the sense that their subject matter is technical and abstract. Consequently, their usefulness and relevance to the world is hugely dependent upon how well mathematicians and statisticians relate to their colleagues and coworkers. Employers often talk about how it is absolutely necessary for their technical staff to be able to communicate in writing and orally, to interact productively in teams and groups, and to be diligent, versatile and innovative. These people skills are equally necessary in the teaching professions. A good selection of General Education courses and other electives is one way to develop these skills, as are independent studies and projects, extracurricular activities and even hobbies.

An internship, coop or summer research experience.
One of the best ways to procure a good job upon graduation is to have done an internship or coop beforehand. Employers like to have a chance to see a student in the actual work environment, and the student benefits by trying out the kind of work that the employer offers. For students considering graduate study, it is highly desirable to apply for summer Research Experience for Undergraduates (REU) either at your home university or at sites elsewhere in the country. See the links on this page to the university offices on campus that coordinate internships and coops, and to the NSF, NSA and other agencies that offer summer research experiences.
Common Career Paths for Mathematics and Statistics Majors
In the course of his or her undergraduate studies, each student will naturally develop some preferences for the various subfields of mathematics or statistics, and those interests will largely determine the student's choice of concentration within the major. Another element in this choice is the range of opportunities that the concentration presents for a subsequent career. While there is no fixed list of occupations that follow from a major in mathematics or statistics, the most common career paths of graduating students fall into some broad categories. The Department has designed the concentrations (and course requirements for each concentration) to help students prepare for a career in one of these main categories.
Here, in an unordered list, are some of the main career categories:
 Actuarial science.
 Data science.
 Information technology and computing.
 Business, management, consulting.
 Teaching at the elementary or secondary school level.
 Graduate study in mathematics or statistics, especially for an academic career.
 Graduate study in applied mathematics or statistics, for a career in industry, business or government.
 Graduate study in an interdisciplinary field related to the mathematical and statistical sciences.
Web Links About Careers
Various national organizations in the mathematical sciences offer information and other web links about careers.
On many of these websites there are collections of testimonials from mathematicians and statisticians who have pursued successful careers in a wide variety of areas. Students are encouraged to explore these sites and read the professional advice offered by these experts.
 American Mathematical Society:
http://www.ams.org/careers/ [8]  Society of Industrial and Applied Mathematics:
http://www.siam.org/careers/ [9]  American Statistical Association:
http://www.amstat.org/careers/ [10]  Mathematical Association of America:
http://www.maa.org/careers/ [11]  Association for Women in Mathematics:
http://www.awmmath.org/ctcbrochure/toc.html [12]  Sloan Career Cornerstone Center:
http://www.careercornerstone.org/ [13]
Specific Recommendations Within the Career Categories
Actuarial Science
Actuaries are business executives who use mathematical and statistical skills to define, analyze, and solve complex problems arising in the insurance and pension fields. They create and manage programs to reduce the financial impact of events such as illness, accidents, unemployment, or premature death. Actuaries must understand the entire operation of the insurance and pension fields because their evaluations often influence company policies and practices. Besides good command financial markets, tax and insurance law, regulatory requirements, accounting, and so forth, an actuary must have solid background in applied mathematics and statistics.
Professional status is attained through fellowship in one of two actuarial societies (CAS or SOA). Fellowship is earned, and most of the theoretical training is provided, by passing a series of rigorous examinations sponsored by the societies. Please see our departmental Actuarial Program webpage [14].
Data Science
In the last few years, the field of data science has exploded. Majors who have taken Stat 525 (Linear Regression) and have profiency in SAS, R, or Python are particularly wellpoised to take advantage of these opportunites. Students are encouraged to enhance their data science credentials by combining statistical coursework in our department with data science or machine learning coursework in Computer Science, Biostats, or Linguistics. The following site has extensive information on the field of data science: Masters in Data Science [15]. The MassMutual Data Center in downtown Amherst is becoming a vital player in training our students and providing them employment. Seniors are encouraged to apply to the MassMutual Data Science Development Program [16].
Information Technology and Computing
A mathematics major can launch a career in the wideranging world of information technology and computing services, provided that the major studies are complemented by enough training in computer science. Typically, such a major will also complete a minor, or perhaps a double major, in computer science. Some of the more mathematically intensive parts of IT concern cryptography or animation and graphics. There are also many positions as applications programmers, that is computer programmers who tailor algorithms to fit the specific needs of clients and companies. Other occupations in this area include network management, web development, security systems, and mobile computing.
Successful completion of a major in mathematics and a minor in computer science is also good preparation for a graduate program in Computer Science. A Master's degree in this computer science is beneficial for some of the more challenging and innovative opportunities. Further information is available from the Association of Computing Machinery:
http://computingcareers.acm.org/ [17]
Business, Management and Consulting
There is an increasing demand for mathematicians and statisticians in many different areas of business. Besides the clearly defined career path to actuarial science, there are also diverse opportunities in production management, forecasting and financial modeling. A major in mathematics that includes statistics, augmented by a minor in computer science and courses in economics, accounting, finance, or industrial engineering, for example, would provide a solid basis for a business career.
Almost all the positions in this broad range of vocations are advertised with titles that do not include the words "mathematician" or even "statistician." Normally, the positions are for "analysts" of some kind. In recent years there have been burgeoning opportunities in the area of quantitative financial analysis, the practitioners being referred to as "quants." This work focuses on stock market analysis, risk management, financial derivatives and related products. While a bachelor's degree is sufficient for entry into the field, there is also a strong demand for employees with more training. For instance, there are many Master's degree program in Financial Mathematics, and Ph.D.s in the mathematical sciences are often engaged in work in this field. Some of the many resources on the web include:
http://www.quantnet.com/ [18]
http://www.quantfinancejobs.com/ [19]
https://www.cfainstitute.org [20]
The problem solving and critical thinking skills possessed by mathematics and statistics majors make them very desirable candidates for positions with consulting firms. These positions are accessible with a bachelor's degree, but they require a quick and adept mind that combines quantitative expertise with business acumen and excellent communication skills. A web search for "quantitative consulting" yields numerous opportunities in this direction.
A mathematics major who wishes to prepare for a career in a government agency, such as the National Security Agency or the Department of Defense, would do well to focus on statistics and applied mathematics and to complete a minor in computer science.
Teaching at elementary or secondary school level
There is a continuing demand for qualified mathematics teachers in the nation's secondary schools. Besides training in their major field, future teachers must also complete state certification requirements. Most of the information here is for students who wish to teach in secondary schools. Students who wish to teach in elementary school take Mathematics For Elementary School Teachers I and II (Math 113 and 114). School districts across the country are increasingly in need of mathematics specialists in elementary schools. Mathematics majors who are interested in elementary education should consider the possibility of such a career path. Students are also encouraged to explore teaching mathematics in middle school, where there is very high demand for mathematics majors.
Mathematics majors wishing to obtain the intermediate equivalent of the Massachusetts certification to teach mathematics at the middle or high school level must:
 include courses that satisfy the Commonwealth's Standard I requirements on subject matter knowledge;
 complete the School of Education's Secondary Teacher Education Program;
 achieve a passing score on both sections of the Massachusetts Educator's Certification Test (MECT).
Any student who is interested in becoming a middle or high school mathematics teacher should contact the Secondary Teacher Education Program [21]. The program includes student teaching, which requires a full semester during which regular courses cannot be taken. For this reason, these students should plan to complete most of their requirements before their student teaching, as they will have one less semester to satisfy Departmental, College, and University requirements.
The Commonwealth's Standard I Subject Matter Knowledge for mathematics states: "The effective teacher of mathematics has completed the college's or university's requirements for a major in mathematics, or the equivalent, by demonstrating knowledge of: mathematics, including: algebra, geometry, analytical geometry, trigonometry, calculus, number theory, probability and statistics, and the history of mathematics; how to use computers in mathematics; modes of inquiry and methods of research in mathematics; relationships between mathematics and other fields of knowledge."
The teaching concentration is designed to help the student fulfill these requirements. Further details are available at
http://www.math.umass.edu/undergraduate/departmentalgraduationrequirements [22]
The following courses can be used to satisfy the Commonwealth requirements:
 algebra, analytical geometry, trigonometry, calculus: Math 233
 geometry: Math 461, Math 563
 number theory: Math 471
 probability and statistics: Stat 501, Stat 515
 history of mathematics: Math 475
 discrete mathematics: Math 455
 abstract algebra: Math 411
 how to use computers in mathematics: Math 471, Math 551
 modes of inquiry and methods of research: Math 300, Math 411, Math 456, Math 523
 relationships between mathematics and other fields: Physics 151153 or 171173, Math 331, Math 456, Math 532, Math 534, Math 545.
The Department of Mathematics & Statistics is in the process of developing courses specifically geared to future secondary mathematics teachers, especially in light of the Common Core State Standards in Mathematics (http://www.corestandards.org) and in light of the recommendations of The Education of Mathematics Teachers I and II, Conference Board of the Mathematical Sciences, published by the American Math Society, 2001 and 2012 (available from http://cbmsweb.org/MET_Document/). For instance, on an experimental basis, we offer Math 597T Mathematical Knowledge for Teaching I. Students interested in a teaching career are encouraged to take this course.
Completion of the School of Education's Secondary Teacher Education Program [21] for Prospective Middle and High School Teachers of Mathematics requires the following courses: Students may enroll in (1)(3) prior to applying to STEP; to enroll in (4)(7) the student must already be in STEP.
 Educ 524: Work of the Middle and High School Teacher
 Psych 305: Educational Psychology, Psych 355: Adolescent Psychology or Educ 693I: Psychology in the Classroom
 Educ 497I: Tutoring in Schools (or an alternative course option)
 Educ 592S: PrePracticum
 Educ 511: Teaching Mathematics in Middle and High School
 Educ 510: The Teacher in the Classroom and Educ 615J: Education and the Law (Taken while student teaching)
 Educ 500M (503): Student Teaching (59) or Educ 500S (504): Student Teaching (9l2) or both for 512 certification.
Some webpages related to teaching:
 Teach for America: www.teachforamerica.org [23]
 Math for America: www.mathforamerica.org [24]
 A site related to teaching certification and teaching degrees: MathTeaching.org [25]
Graduate Study
There are three main options for graduate study following a undergraduate degree in mathematics or statistics. Students are advised to consult departmental faculty about these options as well as the attributes of particular graduate programs nationwide.

A traditional graduate program in a mathematics or statistics department.
Every major research university has a graduate program in mathematics, and the majority are primarily focused on the Ph.D. Many universities have separate departments and Ph.D. programs in statistics, biostatistics and related quantitative areas. The doctoral graduates from these programs find employment either in academic institutions or else pursue careers in government, business, or industry.
There are about 1500 colleges and universities in the United States, which seek to fill their faculty positions with Ph.D.qualified candidates. These positions involve a mixture of teaching, research and service responsibilities. The particular blend of these activities varies with the type of academic institution (research university, liberal arts college, etc.). This job market tends to be quite tight and there is strong competition for the most desirable opportunities. Those who go into graduate programs intending to teach at the college level should strive to acquire a broad foundation in both theoretical and applied subjects in the field, along with some experience in communicating the subject matter.

A professional Master's degree program in applied mathematics or statistics.
An alternative to the traditional Ph.D.oriented graduate program is a terminal Master's program, which is now available at an increasing number of universities. These programs tend to be in either applied mathematics or statistics. Normally they grant the Master's degree after two years of study. Upon graduation students are qualified to take competitive positions in industry, business or government. Such a program can also be used as a bridge for a student who intends to do a Ph.D. in mathematics or statistics, a Ph.D. in a field other than mathematics and statistics, or an interdisciplinary Ph.D. One of the longest running Masters in Applied Mathematics programs is here at the University of Massachusetts Amherst; see http://www.math.umass.edu/Grad/appliedms.html [26]. In addition, our Department offers a Masters degree with an option in Statistics; see http://www.math.umass.edu/Grad/Stat/stat.html [27].

A graduate program in an interdisciplinary field that is allied with mathematics or statistics.
Yet another pathway is to graduatelevel studies in a field that is related to mathematics or statistics. Students pursuing this path will have undertaken a broad program at the undergraduate level, probably having completed a minor or double major in the other field. Examples include physics, computer science, engineering, mathematical finance, biostatistics, bioinformatics, mathematical biology, or operations research. In addition, it is possible to undertake a professional degree in law or medicine after an undergraduate degree in mathematics or statistics.
Talented students who intend to pursue postgraduate studies should also consider participating in the Mathematics Honors Program [28]. Also, graduate courses are open to undergraduates with the consent of the instructor, and majors may wish to enroll in beginning graduate courses, especially those at the 600level.
University Offices That Assist With Career Searches and Other Experiences
The University offers ample assistance to students who are committed to finding a good job after graduation or valuable experiences while still in school. Here is a list of the main offices on campus for this purpose. The Department coordinates with these campuswide programs to sponsor workshops or informal meetings tailored specifically to mathematics and statistics majors. Every major is encouraged to explore the resources provided by these university offices.
Career Services [7], 511 Goodell Building
Careers Services is the main resource for undergraduate students as they launch their career search. The office offers counseling on resume writing and interviewing, coordinates oncampus job fairs and interviews, and keeps extensive listings of job openings and advertisements for all fields and majors. All students should join Career Connect [3], which is a database of jobs and internships. Joing Career Connect will also trigger a weekly email with jobrelated events on campus.
Alumni Career Programs [29], Alumni Association, Memorial Hall, 134 Hicks Way
The Alumni office also has a career program. In particular, they facilitate connections between current students and alumni who are in the workforce. The "Minuteman Mentors" program allows a student to contact registered alumni who are employed in the field of the student's interest for the purpose of consultation and general advice about job opportunities in that field. This is an excellent networking resource.
Office of Undergraduate Research and Studies [30], 1004 W. E. B. Du Bois Library
This office offers information about oncampus and offcampus opportunities for student experiences, such REUs and internships. In addition, it assists students in applying for these experiences.
Web Links to Opportunities for Summer Jobs and Research Experiences
 NSF [31]
 NSA [32]
 Aerospace [33]
 Apple [34]
 American Mathematical Society [35]
 Boeing [36]
 Cisco [37]
 Dell [38]
 EMC [39]
 IBM [40]
 Intel [41]
 Lawrence Berkeley National Laboratory [42]
 National Institute of Standards and Technology [43]
 Oak Ridge Institute for Science and Education [44]
 Department of Energy [45]
 Pacific Northwest National Laboratory [46]
 Sandia National Laboratory [47]
 Wolfram Research [48]
 Google [49]