Carroll College Department of
Mathematics, Engineering, and
In Helena, Montana
Founded in 1909
4-Year College ->
Grants Bachelor and
Associate of Arts
A Diocesan Catholic
Liberal Arts College
With 1300 Students
THE SITUATION BEFORE
At the research frontiers of mathematics,
progress is satisfying and often
But at the undergraduate level, we seem
unable to convey the excitement, the
power, and the integrity of our subject.
Most students see little or no
mathematics more modern than the
Create a curriculum that is:
Present mathematics as a unified topic.
Preserve the beauty and integrity of
Show the role of mathematics in solving a
wide variety of problems.
Focus on applications.
Extend understanding of topics.
Solve advanced problems.
Make courses appealing
Enable students to
apply the mathematics
Develop skills for the
workplace by promoting
team work and
requiring written and
Promote discussion of
ethical, social, and
aesthetic issues related
to technical decisions.
Course Content in Math
Mathematics 1 – 4 semester credits
Calculus (3), Differential Equations (1)
Mathematics 2 – 4 semester credits
Calculus (3), Linear Algebra (1)
Mathematics 3 – 5 semester credits
Calculus (4), Linear Algebra (1)
Mathematics 4 – 5 semester credits
Linear Algebra (1), Differential Equations (2),
Probability and Statistics (2)
First Two Years for Mathematics
and Engineering Majors
Integrated throughout the
first two years are
calculus, finite difference
equations, linear algebra,
probability and statistics.
ILAPs play a fundamental
role in accomplishing this
A formal computer
laboratory is a weekly
component in this four-
Examples of ILAPs -
Application Projects – at Carroll
Yellowstone Park Bison Formulate and solve
How many bison can equations for the
Yellowstone Park shuttle as it travels
support? from Cape Canaveral
Yellowstone Bison Population from 1902 to 1931 into earth orbit
1900 1905 1910 1915 1920 1925 1930 1935
Global Positioning System Equations
How does the global Introduce
positioning system Probability and
work? Statistics with
Explore the history of Web Data
Last Two Years for
Junior Level Courses
Probability and Statistics with Applications
Foundations of Mathematics
Numerical Computing and Visualization
Senior Level Courses
Modern Algebra and Applied Geometry
Mathematical Modeling and Optimization
Senior Project or Honors Thesis
at Carroll College
Offers students 2 degrees
(BA and BS)
Many of our mathematics
majors, after completing
their BA, go to graduate
school in engineering. Some
pursue an MS (4-2) and
some pursue a PhD (4+) in
Civil Engineering Program
This is a new program and
ABET accreditation is
expected by August 2001.
By teaching our
as an integrated,
endeavor, with an
and appropriate use
of technology, we
prepare students to Don’t just do as we
do likewise. say, do as we do!
A New Spirit
in Our Students
They show enthusiasm for learning.
They are proud to be in our programs.
They enjoy the opportunities to exercise
Their spirit is contagious.
From the faculty perspective, teaching is
even more rewarding and enjoyable.
Tales of the First Graduates
of Our New Curriculum
Our student teachers have received outstanding reviews from their master teachers
and secure positions readily.
Students were offered fellowships and assistantships in graduate programs in
engineering at MIT, Columbia, Notre Dame, U of Oklahoma, U of Washington,
Washington State, Montana State, etc.
Students have excellent jobs with EDS and TRW, and one student received an
assistantship to pursue graduate study in CS at the U of Houston.
Students have been accepted to law school, medical school, and dental school.
Students have excellent jobs with Hewlett-Packard, TRW, Wells-Fargo, State of MT,
and St. Vincent Rural Health Management
Teaching Our First-Year
Course in High Schools
In a cooperative effort with the local school
district and a private school, three high schools
are now teaching our first-year integrated
course sequence in place of the traditional
advanced placement calculus course.
Carroll teachers work with high school
teachers in this endeavor.
Students get a rigorous and rewarding
experience in mathematics, while earning
college credits. Those who complete this
program are ready to enter a multivariable
Replacing College Algebra with
Difference Equations and Linear Algebra
The Way It Was The Way It Is
College algebra was selected by Students are excited about the
many business majors to problems they can solve.
fulfill a requirement. They are engaged in the art of
For more than 90% of the mathematical modeling.
students enrolled, the The computer is a fundamental
material was all review. tool in problem solving.
Computers were not used. Although we raised the level of
Applications were of minimal mathematical sophistication,
interest to students. fewer students drop this course.