Why study mathematics? Many of the new wonders
that we take for granted in our modern technological society
have mathematical ideas and applications as their basis,
though this role is often hidden from view. Complex economic
and planning decisions, scientific discoveries that improve
our lives, and new technologies and products are often
possible only after mathematical or statistical analysis, or a
computer visualization, simulation, design and implementation
based on mathematics. Therefore, mathematicians, as well as
mathematically educated scientists, engineers and economists,
make important daily contributions in the understanding and
advancement of science, the improvement and discovery of new
technology, and decision-making and planning in business,
industry and government. Students interested in using their
mathematical skills in solving real world problems are well
prepared, by majoring or minoring in mathematics, for careers
such as in the insurance industry, software design, data and
systems analysis, scientific computing, combustion research,
the animated movie industry, and cryptanalysis to name a few,
or a graduate degree in a related technical field. Those
students with a very strong interest in mathematics itself can
pursue graduate study in mathematics in preparation for
careers as university or college mathematics teachers and in
the development of new mathematical and statistical concepts
and methods as researchers in academia, government and
industry.
The curriculum of the program in the Department
of Mathematics is designed to provide a broad education in
both theoretical and applied mathematics. It also develops the
scientific knowledge and the problem solving, computing, and
communications skills that are critical to a successful
mathematically based career. This preparation is greatly
enhanced by taking advantage of the wide variety of science
and engineering courses available to students and developing
good communications skills, both through technical courses and
the strong humanities program. The program offers a solid
grounding in the foundational areas of calculus, differential
equations, linear algebra, discrete and combinatorial algebra,
and probability and statistics. These basic courses are
complemented by a varied selection of upper division courses
for further elective study in areas such as numerical
analysis, operations research, advanced statistics,
mathematical modeling, optimization, and other advanced topics
in mathematics. Students are encouraged to develop a strong
background in an area of science or engineering through
election of courses leading to a minor or double major. By
appropriate course selection students may complete a double
major in mathematics and another field such as computer
science, physics, chemistry, applied biology, or economics.
PROGRAM GOALS AND OBJECTIVES
To provide a foundation for further learning as
well as contributing to the general education of students, the
programs at Rose-Hulman all have a heavy investment in
mathematics and science in the first two years. The freshman
and sophomore mathematics curriculum is designed to contribute
to this foundation by ensuring that students are familiar with
basic mathematical and statistical concepts, and mathematical
and statistical reasoning and modeling. Students will also
understand the use of mathematics in other disciplines as well
as developing an appreciation of mathematics as a discipline
in its own right. In addition, students will learn to be
competent users of mathematics, especially in problem solving,
and be able to effectively communicate mathematically. The
curriculum makes strong use of computer methods to develop
students’ mathematical understanding and to enhance their
ability to use the computer in modeling, computation and
problem solving.
For students seeking a major in mathematics, the
curriculum prepares them for a mathematically based career
after graduation or further graduate study. The major builds
upon the goals and objectives of the freshman and sophomore
curriculum. In addition to a deeper and broader study of
mathematics, majors will further develop their ability to
formulate and solve problems from a mathematical perspective,
become familiar with the use of mathematics in other fields,
and develop competence at the application of mathematics to at
least one other field. Graduates will also be able to use
technology effectively in mathematics and the application of
mathematics. To complement these technical skills graduates
will learn the professional skills of effective communication
with both technical and non-technical audiences and the
ability to work cooperatively with others.
DEGREE REQUIREMENTS
Major Concentrations: Mathematics majors
choose to complete their program in one of three
concentrations: Mathematics, Applied Mathematics, or
Statistics. The Mathematics concentration provides the
foundational mathematical depth of a traditional mathematics
major and is intended for students planning on graduate study
in an area of mathematics. The Applied Mathematics
concentration may be completed in one of two areas: continuous
applied mathematics or discrete applied mathematics. Students
selecting this concentration may tailor their programs to
interface with another major or to enhance industrial
employment or graduate school opportunities. The Statistics
concentration is recommended for students pursuing careers in
actuarial science, graduate study in statistics, or employment
in government or industry in a statistical capacity. Upon
graduation a student may request the Head of the Mathematics
Department to issue a letter attesting to the fact that the
requirements in the chosen concentration have been completed.
Mathematics Coursework Requirements: All mathematics majors
must complete a common core consisting of 39 credit hours of
mathematics coursework, which provides breadth across the main
areas of mathematics. A mathematics major must also complete
an additional 20 credit hours of mathematics coursework
specified for the selected major concentration plus an
additional 8 credit hours earned in free elective mathematics
courses. A total of 67 credit hours of mathematics courses is
required for the major.
| Common Required Core
|
(39 hrs.) |
MA 111, 112, 113
Calculus I, II, III
MA 221, 222 Differential Equations and Matrix Algebra I,
II
MA 371 Linear Algebra I
MA 215 Discrete and Combinatorial Algebra I
MA 306 Functions of a Real Variable
MA 381 Introduction to Probability with Statistical
Applications
|
(15 hrs.)
(8 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.) |
| Mathematics
Concentration Core |
(20 hrs.) |
|
Five courses selected from
the following and including all courses marked with *.
(A student may take an appropriate MA 490 course in place
of either of the two courses not marked with * upon
obtaining permission from the students’s advisor and the
Mathematics Departmment Head.)
|
*
*
* |
MA 305
MA 307
MA 310
MA 315
MA 321
MA 325
MA 378
MA 415
MA 416
MA 431
MA 433
MA 436
MA 471
MA 481
MA 580
|
Advanced Calculus
Introduction to Topology
Functions of a Complex Variable
Discrete and Combinatorial Algebra II
Topics in Geometry
Fractals and Chaotic Dynamical Systems
Number Theory
Discrete and Combinatorial Algebra III
Algebraic Codes
Calculus of Variations
Numerical Analysis
Introduction to Partial Differential Equations
Linear Algebra II
Introduction to Mathematical Statistics
Topics in Advanced Probability Theory and Its
Applications |
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.) |
| Applied Mathematics Concentration Core |
(20 hrs.) |
| Five courses selected from the following and including either
all courses marked with * or all
courses marked with **. (* corresponds to continuous applied
mathematics; ** corresponds
to discrete applied mathematics.) Students completing the
Applied Mathematics Concentration
are strongly urged to complete mathematics coursework in
statistics, either as a part of
this core requirement or as elective coursework. |
(A student may take an appropriate MA 490 course in place of
either of the two courses not
marked with * or ** upon obtaining permission from the
student’s advisor and the Mathematics
Department Head.)
*
*
**
**
*
**
|
MA 223
MA 302
MA 305
MA 310
MA 315
MA 323
MA 325
MA 331
MA 383
MA 415
MA 416
MA 431
MA 433
MA 436
MA 444
MA 445
MA 471
MA 481
MA 580 |
Engineering Statistics I
Boundary Value Problems
Advanced Calculus
Functions of a Complex Variable
Discrete and Combinatorial Algebra II
Geometric Modeling
Fractals and Chaotic Dynamical Systems
Mathematical Modeling
Engineering Statistics II
Discrete and Combinatorial Algebra III
Algebraic Codes
Calculus of Variations
Numerical Analysis
Introduction to Partial Differential Equations
Deterministic Models in Operations Research
Stochastic Models in Operations Research
Linear Algebra II
Introduction to Mathematical Statistics
Topics in Advanced Probability Theory and Its
Applications |
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.) |
| Statistics Concentration Core |
(20 hrs.) |
| Five courses selected from the following and including all
courses marked with * and at least
one marked with **. (A student may take an appropriate MA 490 course in place of
either of the two courses not
marked with * or ** upon obtaining permission from the
student’s advisor and the Mathematics
Department Head.)
|
*
**
*
**
**
|
MA 223 MA 305 MA 310 MA 315
MA 383
MA 385
MA 415
MA 444
MA 445
MA 471
MA 481
MA 485
MA 487
MA 580
|
Engineering Statistics I
Advanced Calculus
Functions of a Complex Variable
Discrete and Combinatorial Algebra II
Engineering Statistics II
Quality Methods
Discrete and Combinatorial Algebra III
Deterministic Models in Operations Research
Stochastic Models in Operations Research
Linear Algebra II
Introduction to Mathematical Statistics
Applied Regression Analysis and Introduction to
Time Series
Design of Experiments
Topics in Advanced Probability Theory and Its
Applications |
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.) |
| |
|
|
|
| Free
Mathematics Electives |
(8 hrs.) |
| Additional mathematics coursework in courses numbered 300 or
above, or MA 223. |
| |
|
|
|
| Summary of Requirements |
|
Mathematics
Coursework
Physical and Life Sciences*
Computer Science**
Humanities and Social Science (standard requirement)
Technical Electives***
Free Electives (MS and AS not permitted)
Miscellaneous**** |
(67 hrs.)
(24 hrs.)
(8 hrs.)
(36 hrs.)
(24 hrs.)
(32 hrs.)
(3 hrs.) |
| |
|
|
 |
| Total
hours required for graduation |
(194 hrs) |
|
|
| * |
PH 111, 112, and 113 —
Physics I, II, and III
CHEM 111 — Chemistry I
CHEM 113 — Chemistry II or
CHEM 153 — Introduction to Organic Chemistry or
AB 101 — Essential Biology ( or higher)
one additional 4 credit hour course in
Physical or Life Sciences |
(12 hrs.)
(4 hrs.)
(4 hrs.)
(4 hrs.) |
|
|
| ** |
CSSE 120 — Fundamentals
of Software Development I
CSSE 220 — Fundamentals of Software Development II |
(4 hrs.)
(4 hrs.) |
|
|
| *** |
200 level or above non-mathematics coursework, approved
by the major advisor, in areas of science, engineering, or
economics in which 12 credit hours constitute a coherent
set of three courses representing a specific area of technical
depth and 12 credit hours represent technical breadth.
|
(24 hrs.) |
|
|
| **** |
CLSK 100 — College and
Life Skills
EM 104 — Graphical Communications |
(1 hr.)
(2 hrs.) |
|
SUGGESTED SCHEDULE
The schedule below is a suggested schedule only.
Scheduling of courses may be altered, subject to approval of
the advisor, in order to take advantage of advanced placement
or to accommodate a second major, area minor or other special
program. However, note that some courses are offered only at
certain times during the year, and all prerequisites must be
met. In the schedule an MA elective is either a concentration
elective or free math elective, as described above, and a
science elective is a physical or life science elective as
defined above.
MATHEMATICS
|
Freshman Year |
|
Fall Term |
Credit |
MA
CHEM
RH
HSS
CLSK
EM |
111
111
131
100
104 |
Calculus I
..............................
General Chemistry I..............
Rhetoric and Composition
or
Elective..................................
College and Life Skills ........
Graphical Comm.................... |
5
4
4
1
2 |
| |
|
|

16 |
|
|
|
|
|
|
Winter Term |
Credit |
MA
PH
CSSE
HSS
RH |
112
111
120
131 |
Calculus
II.............................
Physics I................................
Fundamentals of
Software Dev I ..................
Elective
or
Rhetoric & Composition ..... |
5
4
4
4 |
| |
|
|

17 |
|
|
|
|
|
|
Spring Term |
Credit |
MA
PH
CHEM
CHEM
AB
HSS |
113
112
113
153
101 |
Calculus
III............................
Physics II...............................
General Chemistry II
or
Intro To Organic Chemistry
or
Essential Biology
(or higher).
Elective.................................. |
5
4
4
4 |
| |
|
|

17 |
|
|
Sophomore Year |
|
Fall Term |
Credit |
MA
PH
CSSE
HSS |
221
113
220
|
Diff Eq & Matrix Alg I .........
Physics III .............................
Fundamentals of
Software Dev II .................
Elective................................... |
4
4
4
4 |
| |
|
|

16 |
|
|
|
|
|
|
Winter Term |
Credit |
MA
HSS |
222
|
Diff Eq & Matrix Alg II ........
Science Elective....................
Technical Elective ................
Elective.................................. |
4
4
4
4 |
| |
|
|

16 |
|
|
|
|
|
|
Spring Term |
Credit |
MA
MA
HSS |
381
371 |
Intro to Probability ...............
Linear Algebra ......................
Technical Elective ................
Elective................................... |
4
4
4
4 |
| |
|
|

16 |
| |
|
|
|
|
|
|
|
Junior
Year |
|
Fall Term |
Credit |
MA
MA
HSS |
215 |
Disc & Comb Alg I ..............
Elective ..................................
Technical Elective ................
Elective................................... |
4
4
4
4 |
| |
|
|

16 |
|
|
|
|
|
|
Winter Term |
Credit |
MA
MA
HSS |
306 |
Functions of a Real Variable.
Elective..................................
Technical Elective ...............
Elective................................... |
4
4
4
4 |
| |
|
|

16 |
|
|
|
|
|
|
Spring Term |
Credit |
MA
MA
HSS |
|
Elective...................................
Elective ..................................
Technical Elective ................
Elective..................................
|
4
4
4
4 |
| |
|
|

16 |
|
|
Senior Year |
|
Fall Term |
Credit |
MA
|
401 |
Elective
..................................
Technical Elective ...............
Free Elective .........................
Free Elective ......................... |
4
4
4
4 |
| |
|
|

16 |
|
|
|
|
|
|
Winter Term |
Credit |
|
MA |
|
Elective
..................................
Free Elective .........................
Free Elective .........................
Free Elective ......................... |
4
4
4
4 |
| |
|
|

16 |
|
|
|
|
|
|
Spring Term |
Credit |
|
MA |
|
Elective
..................................
Free Elective .........................
Free Elective .........................
Free Elective ......................... |
4
4
4
4 |
| |
|
|

16 |
| |
|
|
|
|
|
|
|
|
Notes and Definitions |
- The suggested four year plan is a guideline.
- Close consultation and planning with the advisor on
electives is required, especially for electives after
the freshman year, or if a double major or minor is
planned.
- Math Elective: A course either required by
the concentration or a true math elective.
- Science Elective: Any Physical or Life
Sciences elective (not Computer Science) at any level.
- Technical Elective: Non-mathematics courses
numbered 200 or above in Engineering, Science or
Economics.
- Free Elective: Any course except Military
Science or Aerospace Studies.
|
WITH THESIS OPTION
Students pursuing a major or second major in Mathematics may
elect to complete a “thesis option” as follows: Students
seeking a degree “with thesis” must complete
- a written thesis or a project and project write-up
involving effort equivalent to at least 8 credit hours of
MA495;
- at least 2 credit hours of MA495.
The thesis or project must involve creative work done by
the student and a significant portion of this work must have
been done by the student individually (not as part of a team).
The written submission must be signed by the student’s
thesis/project advisor and two additional mathematics faculty
members, and must be presented in the departmental seminar.
The student’s transcript would have the designation “with
thesis”.
AREA MINOR IN MATHEMATICS
A student, not pursuing a major in mathematics,
computer science, or economics or a second major in
mathematics may obtain an area minor in mathematics by taking
10 or more mathematics courses as follows:
- Six courses in foundational mathematics
Calculus, Differential Equations and Matrix Algebra: MA 111,
MA 112, MA 113, MA 221, MA 222
Basic Probability/Statistics: one of MA 223 or MA 381
- Sixteen additional credit hours of “upper division”
courses
Courses selected from MA 215, all MA courses numbered 300 or
higher (except MA 351-356), or other MA courses approved by
the area minor advisor for mathematics.
All area minors must be approved by the area
minor advisor (Math Department Head) and the student’s
advisor. The department has a form for the planning and
approval of a minor. In addition, note that:
- Almost all students are required to take six
foundational courses as a requirement for their major;
therefore, only four “extra courses” are required for most
students.
- No student can take both MA371 and MA373 for credit.
- If MA 381 is being counted towards the four additional
courses, then MA223 may be taken and counted towards the
Basic Probability/Statistics requirement.
- Science and engineering, especially the more recently
developed “high tech” areas, have sophisticated
mathematical and statistical concepts and methodologies in
their foundation. Thus a well chosen set of courses for a
mathematics minor (or a second major in mathematics) will
greatly enhance a student’s analytical and computational
skills. Students thinking of going on to graduate school
should especially give consideration to this option.
|