Majoring
in Mathematics
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REQUIREMENTS
FOR THE MATHEMATICS MAJOR
The major in mathematics requires a minimum of 32 credits, with 20 credits
(five courses) at the 300-level. It includes
- Math 203, Calculus III (prereq:
103, 200, or 202, or equivalent);
- Math 211, Linear Algebra
(prereq: any 100-level math);
- Math 251, Laboratory in Mathematical
Experimentation (prereq: 103, 200, or 202, or equivalent, or permission);
- Math 301, Analysis I (prereq:
251 or permission);
- Math 311, Algebra I (prereq:
211); and
- at least 12 additional credits
chosen from 300-level courses in mathematics or statistics.
Note that Math 311
is offered every fall, and Math 301 is offered every spring. Math 251
is offered every spring and alternate falls.
ELECTIVES
Each year, four 300 level electives in mathematics are offered, one
each in the large areas of algebra, analysis, geometry and applied mathematics.
Most electives are repeated every second or third year, and many are
accessible after only one 200-level course in the department. Independent
work, Math 395, is another option. Some electives are offered jointly
with Smith. Suitable advanced electives are also available at the other
colleges in the Valley. Students obtaining secondary school certification
in mathematics need to complete their mathematics coursework before
the student-teaching semester, spring of senior year.
PLANNING
YOUR PROGRAM
Most majors complete the three required 200-level courses in the sophomore
year. It is particularly helpful to take Math 251 as early as possible,
for two reasons. One is that the wide range of topics included in Math
251 gives a broad view of the discipline that helps students make well-informed
decisions about future course-taking (and choice of major or minor).
Another is that the Lab's emphasis on exploration and discovery, clear
writing and careful reasoning are excellent preparation for ALL advanced
courses, whether or not Math 251 is an explicit prerequisite.
Sample program:
Year 1: Calculus I and II
Year 2: Lab, Linear Algebra and Calculus
III
Year 3: Algebra I, Analysis I, one or more
300-level elective
Year 4: two or more 300-level electives
(possibly including independent work)
Many majors do more
than the minimum. Students considering graduate study are particularly
encouraged to include a rich program of advanced electives and a summer
research experience. Students who enter with the equivalent of one or
more semesters of calculus often take a 300-level elective in the sophomore
year.
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INTERNSHIPS
/ RESEARCH / INDEPENDENT WORK
There are now many summer opportunities for math majors to work in related
areas and receive stipends; most are aimed at sophomores and juniors.
An undergraduate research program is offered at Mount Holyoke every
summer, and similar programs exist at several other colleges and universities.
Summer and January internships are available at a number of businesses
and research laboratories. Many students follow up a summer program
after the junior year with related independent work in the senior year,
perhaps culminating in an honors thesis. Faculty welcome a wide range
of proposals for independent projects, at intermediate and advanced
levels. All seniors doing independent work are encouraged to report
on their projects at the annual Science Symposium in April.
AFTER
GRADUATION
Math majors do everything and anything. Each year some students enter
graduate programs in the mathematical sciences or in allied fields (engineering,
business, economics, physics, operations research,
). Others go
on to medical school, law school and other professional schools. (Law
schools and med schools love math majors!)
Many students directly
enter the job market, finding employment in schools, banks and other
financial institutions, software companies, insurance companies, and
research laboratories. Many kinds of businesses depend on analysts who
can understand mathematical models and solve problems effectively, even
if the main focus of the business is far from mathematics.
Here are some samples
from recent classes: high school math teacher, orbital analyst for the
US Air Force, research assistant for the World Bank, assistant vice
president at a mortgage company, engineer, optometry intern, computer
programmer, systems analyst, manager of accounts for the Appalachian
Mountain Club, credit analyst, account executive, marketing representative
for the Atlanta Braves, associate director of annual giving for the
Washington National Cathedral, and air traffic controller. The sky really
is the limit!
ENGINEERING
Students interested in engineering have two possible routes. One is
a dual degree program, for example with Dartmouth College's Thayer School
of Engineering or with Caltech. In the Dartmouth program, the student
spends her junior year at Dartmouth, comes back to MHC for her senior
year and her BA, and then returns to Dartmouth for a fifth year and
a BSE. In the Caltech program, the student spends three consecutive
years at MHC and then two years at Caltech; both degrees are awarded
at the end of the fifth year. Another route is a BA from MHC (with appropriate
work in physics and maybe some electives at UMass) followed by a two
year master's program in engineering.
SECONDARY
TEACHING
Here there are a number of options. Some students complete secondary
school certification during their four years at MHC with a "professional
semester" in the senior year. Others complete the education requirements
with a ninth semester at MHC. Still others choose a Master's program
(usually a Master of Arts in Teaching). It is possible to teach in private
secondary schools without a secondary certificate.
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