Course Equivalency Tool
> MSU
Catalog
Mathematical
Sciences
Department of Mathematical
Sciences
http://www.math.montana.edu/
The Department of Mathematical
Sciences has programs leading
to the Bachelor of Science,
the Master of Science, and
the Doctor of Philosophy degrees.
The B.S. options in mathematics,
applied mathematics, statistics,
and teaching are listed below.
Many undergraduate courses
are sufficiently basic to
be of general interest. Detailed
and current information on
undergraduate course offerings
is available from the department.
The four-year baccalaureate
curriculum in mathematics
is flexible and can accommodate
students desiring to concentrate
in mathematics, applied mathematics,
mathematics teaching, or statistics. Programs in
these concentrations are designed
with the help of faculty advisors.
Mathematics Option
The mathematics option
prepares students for graduate
work in mathematics. The core
of the program is built around
three years of analysis, as
well as courses in abstract
and linear algebra. The program
is flexible enough to accommodate
students who wish to prepare
for employment in business,
industry, or government as
technical analysts or specialists
in the area of scientific
computing. The core mathematics
curriculum taken in conjunction
with a secondary emphasis
in other subject matter areas
will prepare a student for
employment as an analyst or
computational specialist in
those areas.
Applied Mathematics Option
Applied mathematicians learn to describe physical phenomena using deterministic models. These models are applicable to the biological and physical sciences and the student is trained to use differential equations, mathematical analysis and computational science to draw insights into various exciting fields.
Applied mathematics is primarily designed
to prepare graduates for employment
in business, industry, and
government. However, an appropriate
choice of electives can ensure
the student a solid preparation
for graduate work in mathematics,
statistics, or scientific
computing. The program demonstrates
the utility of mathematics
to solve problems arising
in real industrial applications.
Graduates will be qualified
for professional careers in
computational applications
of mathematics, statistics,
and other related fields.
Mathematics Teaching Option
The teaching option in
the mathematics curriculum
is designed specifically to
prepare students to teach
mathematics at the middle
school or high school levels.
The program includes the mathematics
courses for a teaching major
and the necessary courses
in education which qualify
the student for teacher's
certification.
Students must consult with
an advisor before selecting
single or multiple endorsement.
Most students opt for multiple
subject endorsement, in which
case they will complete a
teaching minor in an area
of their choice. When approved
by an advisor, students may
opt for a single endorsement
in mathematics, in which case
they take advanced coursework
in mathematics instead of
a minor.
Statistics Option
Statisticians are trained
in principles of quantitative
reasoning. They learn how
to discover patterns in data,
how to display data, how to
construct mathematical models
for data, and how to detect
biases and uncertainties in
data summaries or models.
They are trained to design
and analyze observational
studies, surveys, and scientific
experiments. The computer
is an essential tool for statistical
work.
Statisticians are in demand;
successful students should
find that job opportunities
are excellent. Although positions
are available nationwide,
the best employment opportunities
are found in urban areas,
industrial sites, and centers
of government. The statistics
option prepares students for
such positions or for entry
into a graduate program in
statistics.
Curricula in Mathematics
M 171 (or M 181), 172 (or M 182), 221, 273 (or M 283),
274 (or M 284), 242, 333,
381, 382, 431 and STAT 332
are required.
In addition,
15 credits from the following
math or stat electives list are required: M
330, 348, 349, 386, 430, 441,
422, 450, 451, 454, 455, 472; STAT 421 and STAT 422. Six of these fifteen
credits must be from M 430, 441,
442, 450, 451, 454, 455, and
472.
PHSX 220 and 222 are required.
However, with the agreement
of the student's advisor,
PHSX 222 may be replaced with
a course in another mathematical application area.
A minimum of 120 credits
is required for graduation;
42 of these credits must be
in courses numbered 300 and
above. Core 2.0 must be completed
for graduation.
| Freshman
Year |
F |
|
S |
| CLS
101US--Knowledge and Community |
3 |
|
|
| WRIT
101W--College Writing |
|
|
3 |
| Choose one of the two: |
M
171Q--Calculus I |
4 |
|
|
M
181Q--Honors Calculus
I |
4 |
|
|
| Choose one of the two: |
M
172Q--Calculus II |
|
|
4 |
M
182Q--Honors Calculus
II |
|
|
4 |
| PHSX 220--Physics
I |
4 |
|
|
| PHSX 222--Physics
II |
|
|
4 |
| University
Core and Electives |
4 |
|
4 |
|
15 |
|
15 |
| Sophomore
Year |
F |
|
S |
| M
221--Introduction to Linear
Algebra |
|
|
3 |
| Choose one of the two: |
M
273Q--Multivariable Calculus |
4 |
|
|
M
283Q--Honors Multivariable
Calculus |
4 |
|
|
| Choose one of the two: |
M
274--Intro to Differential
Equations |
|
|
4 |
M
284--Honors Intro to Diff
Equations |
|
|
4 |
| M
242--Methods of Proof |
3 |
|
|
| STAT
332--Stat for Scientists & Engineers |
|
|
3 |
| University
Core and Electives |
8 |
|
4 |
|
15 |
|
14 |
| Junior
Year |
F |
|
S |
| M
333--Linear Algebra |
3 |
|
|
| M
381--Advanced Calculus
I |
3 |
|
|
| M
382--Advanced Calculus
II |
|
|
3 |
| Math or Stat
Elect (See List Above) |
3 |
|
3 |
| University
Core and Electives |
6 |
|
9 |
|
15 |
|
15 |
| Senior
Year |
F |
|
S |
| M
431--Abstract Algebra
I |
|
|
3 |
| Math or Stat
Elect (See List Above) |
6 |
|
3 |
| University
Core and Electives |
9 |
|
10 |
|
15 |
|
16 |
M 171 (or M 181), 172 (or
M 182), 221, 273 (or M 283),
274 (or M 284), 242, 348,
349, 386, 441, 442 and STAT 332 are
required.
In addition, 12
credits from the following math or stat electives
list are required M 330,
333, 381, 382, 430, 431, 450, 451, 454,
455, 472, STAT 421 and STAT 422. Six of these 12 credits
must be from M 430, 450, 451, 454, 455.
PHSX 220, 222, and 224
are required. However, with
the agreement of the student's
advisor, PHSX 224 may be replaced by PHSX 301, or both PHSX 222 and PHSX 224 may be replaced by a two-course sequence in another mathematical application area.
A minimum of 120 credits
is required for graduation;
42 of these credits must be
in courses numbered 300 and
above. Core 2.0 must be completed
for graduation.
| Freshman
Year |
F |
|
S |
| Choose one of the two: |
| CLS
101US--Knowledge and Community |
3 |
|
|
| COM
110US--Public Communication |
3 |
|
|
| WRIT
101W--College Writing
I |
|
|
3 |
| Choose one of the two: |
| M
171Q--Calculus I |
4 |
|
|
| M
181Q--Honors Calculus
I |
4 |
|
|
| Choose one of the two: |
| M
172Q--Calculus II |
|
|
4 |
| M
182Q--Honors Calculus
II |
|
|
4 |
| PHSX 220
--Physics
I |
4 |
|
|
| PHSX 222
--Physics
II |
|
|
4 |
| University
Core and Electives |
4 |
|
4 |
|
15 |
|
15 |
| Sophomore
Year |
F |
|
S |
| M
221--Introduction to Linear
Algebra |
3 |
|
|
| Choose one of the two: |
| M
273Q--Multivariable Calculus |
4 |
|
|
| M
283Q--Honors Multivariable
Calculus |
4 |
|
|
| Choose one of the two: |
| M
274--Intro to Differential
Equations |
|
|
4 |
| M
284--Honors Intro to Diff
Equations |
|
|
4 |
| M
242--Methods of Proof |
|
|
3 |
| PHSX
224--Physics
III |
4 |
|
|
| University
Core and Electives |
4 |
|
8 |
|
15 |
|
15 |
| Junior
Year |
F |
|
S |
| M 348
--Techniques of Applied Mathematics I |
3 |
|
|
| M 349
--Techniques of Applied Mathematics II |
|
|
3 |
| M 386R
--Software Applications in Math |
|
|
3 |
| STAT
332--Stat for Scientists & Engineers |
3 |
|
|
| Math or Stat
Elect (See List Above) |
3 |
|
3 |
| University
Core and Electives |
6 |
|
6 |
|
15 |
|
15 |
| Senior
Year |
F |
|
S |
| M
441--Numerical Linear Algebra and Optimization |
3 |
|
|
| M
442--Numerical Solution of Differential Equations |
|
|
3 |
| Math or Stat
Elect (See List Above) |
3 |
|
3 |
| University
Core and Electives |
9 |
|
9 |
|
15 |
|
15 |
M 171, 172, 221, 273, 242,
and either 333 or 441 are required. STAT
408, 410, 412, 421, 422, 446,
and either STAT 332 or STAT 217 are required (STAT 217 requires STAT 216 or equivalent as a prerequisite).
In addition, 15 credits from the following math or stat electives list are required: STAT 431, 436, 437, 439, 448, 490 or 491. Other courses approved by an advisor may be substituted. At least one science must have a lab.
A minimum of 120 credits
is required for graduation;
42 of these credits must be
in courses numbered 300 and
above. Core 2.0 must be completed
for graduation.
| Freshman
Year |
F |
|
S |
| Choose one of the two: |
| CLS
101US--Knowledge and Community |
3 |
|
|
| COM
110US--Public Communication |
3 |
|
|
| WRIT
101W--College Writing
I |
|
|
3 |
| M
171Q--Calculus I |
4 |
|
|
| M
172Q--Calculus II |
|
|
4 |
| University
Core and Electives |
8 |
|
9 |
|
15 |
|
16 |
| Sophomore
Year |
F |
|
S |
| M
221--Introduction to Linear
Algebra |
|
|
3 |
| M
273Q--Multivariable Calculus |
4 |
|
|
| Choose one of the two: |
| STAT
217Q--Intermed Stat Concept |
3 |
|
|
| STAT
332--Stat-Scientist & Engineers |
3 |
|
|
| STAT 408
--Stat Computing & Grph
Analysis |
|
|
3 |
| M
242--Methods of Proof |
3 |
|
|
| Science
Electives |
4 |
|
3 |
| University
Core and Electives |
|
|
6 |
|
14 |
|
15 |
| Junior
Year |
F |
|
S |
| Choose one of the two: |
| M 333
--Linear Algebra |
3 |
|
|
| M
441--Num Linear Alg & Optimization |
3 |
|
|
| STAT 411--Data Analysis I |
3 |
|
|
| STAT
412--Data Analysis II |
|
|
3 |
| STAT
446--Sampling |
3 |
|
|
| Math or Stat
Elect (See List Above) |
|
|
3 |
| Science
Electives |
3 |
|
3 |
| University
Core and Electives |
3 |
|
6 |
|
15 |
|
15 |
| Senior
Year |
F |
|
S |
| STAT
421--Probability Theory |
3 |
|
|
| STAT
422--Mathematical Stat |
|
|
3 |
| Math or Stat
Elect (See List Above) |
6 |
|
6 |
| University
Core and Electives |
6 |
|
6 |
|
15 |
|
15 |
Actuary Profession Bound
Students
Actuary profession-bound
students are advised to take
STAT 421 and STAT 422 during
the junior year in order to
be prepared for the actuarial
exams given during the senior
year. For further guidance,
see the Actuary Advisor in
the Dept. of Mathematical
Sciences, 2-214 Wilson Hall.
M 171, 172, 273, 274, 242,
328, 329, 428 and STAT 332
are required. PHSX 205 is
required as a science course.
For a multiple subject
endorsement, six additional
credits of electives in mathematics
are required. These credits
may be chosen from M 221 or
any other mathematics or statistics
course numbered 300 or above.
A teaching minor is required.
For a single subject endorsement
in mathematics, M 221 and either M 381 or M 431 are required. In addition, nine credits
of electives are required.
These credits may be chosen
from any mathematics or statistics
course numbered 300 or above.
| Freshman
Year |
F |
|
S |
| Choose one of the two: |
| CLS
101US--Knowledge and Community |
3 |
|
|
| COM
110US--Public Communication |
3 |
|
|
| EDU
202--Early Field Experience |
|
|
1 |
| WRIT
101W--College Writing
I |
|
|
3 |
| Choose one of the two: |
| HDCF
150IS--Lifespan Human
Dev |
3 |
|
|
| EDEC 160--Early Childhood through Adolescent Development |
3 |
|
|
| M
171Q--Calculus I |
4 |
|
|
| M
172Q--Calculus II |
|
|
4 |
| University
Core, Minor, & Electives |
6 |
|
8 |
|
16 |
|
16 |
| Sophomore
Year |
F |
|
S |
| EDU
223--Ed Psy & Adolescent
Dev |
3 |
|
|
| EDU
211D--Multicultural Education |
|
|
3 |
| EDU
370--Integrating Tech
into Education |
|
|
2 |
M
273Q--Multivariable Calculus |
4 |
|
|
| M
274--Intro to Differential
Equation |
|
|
4 |
| M
242--Methods of Proof |
|
|
3 |
PHSX
205--College Physics I
| 4 |
|
|
| University
Core, Minor, & Electives |
5 |
|
3 |
|
16 |
|
15 |
| Junior
Year |
F |
|
S |
| EDU
382--Assessment, Curric,
Instruction |
|
|
3 |
| EDU
497R--Methods: 5-8 Mathematics
|
|
|
3 |
| HDCF
356--Exceptional Children |
3 |
|
|
| M
328--Higher Math for Sec
Teachers |
3 |
|
|
| M
329--Modern Geometry |
|
|
3 |
| STAT
332--Stat for Scientists & Engineers |
3 |
|
|
| Math/Stat(300+) or M 221 |
|
|
3 |
| University
Core, Minor, & Electives |
6 |
|
3 |
|
15 |
|
15 |
| Senior
Year |
F |
|
S |
| EDU
395--Practicum: 5-12 |
3 |
|
|
| EDU
495--Student Teaching:
5-12 |
|
|
10 |
| EDU
408--Professional Issues:
5-12 |
|
|
2 |
| EDU
497--Methods: 9-12 Mathematics |
3 |
|
|
| M
428--Math Modeling for
Teachers |
3 |
|
|
| Math/Stat(300+) or M 221 |
3 |
|
|
| University
Core, Minor, & Electives |
3 |
|
|
|
15 |
|
12 |
| Freshman
Year |
F |
|
S |
| Choose one
of the two: |
| CLS
101US--Knowledge and Community |
3 |
|
|
| COM
110US--Public Communication |
3 |
|
|
| EDU
202--Early Field Experience |
|
|
1 |
| WRIT
101W--College Writing
I |
|
|
3 |
| Choose one of the two : |
| HDCF
150IS--Lifespan Human
Dev |
3 |
|
|
| EDEC 160--Early Childhood through Adolescent Development |
3 |
|
|
| M
171Q--Calculus I |
4 |
|
|
| M
172Q--Calculus II |
|
|
4 |
| PHSX
205--College Physics I |
|
|
4 |
| University
Core and Electives |
5 |
|
3 |
|
15 |
|
15 |
| Sophomore
Year |
F |
|
S |
| EDU
223--Ed Psy & Adolescent
Dev |
3 |
|
|
| EDU
211D--Multicultural Education |
|
|
3 |
| EDU
370--Integrating Tech
into Education |
2 |
|
|
M
221--Introduction to Linear
Algebra |
3 |
|
|
M
273Q--Multivariable Calculus |
4 |
|
|
| M
274--Intro to Differential
Equations |
|
|
4 |
| M
242--Methods of Proof |
|
|
3 |
| STAT
332--Stat for Scientists & Engineers |
|
|
3 |
| University
Core and Electives |
3 |
|
3 |
|
15 |
|
16 |
| Junior
Year |
F |
|
S |
| EDU
382--Assessment, Curric,
Instruction |
3 |
|
|
| EDU
497R--Methods: 5-8 Mathematics
|
|
|
3 |
| HDCF
356--Exceptional Children |
|
|
3 |
| M
328--Higher Math for Sec
Teachers |
3 |
|
|
| M
329--Modern Geometry |
|
|
3 |
| Choose one of the two: |
|
|
|
| M 381--Advanced Calculus I |
3 |
|
|
| M 431--Abstract Algebra I |
|
|
(3) |
| Math/Stat(300+) |
3 |
|
3 |
| University
Core and Electives |
4 |
|
4 |
|
16 |
|
16 |
| Senior
Year |
F |
|
S |
| EDU
395--Practicum: 5-12 |
3 |
|
|
| M
428--Math Modeling for
Teachers |
3 |
|
|
| EDU
497--Methods: 9-12 Mathematics
|
3 |
|
|
| EDU 408--Professional Issues: 5-12 |
|
|
2 |
| EDU 495--Student Teaching: 5-12 |
|
|
10 |
| Math/Stat(300+) |
3 |
|
|
| University
Core and Electives |
3 |
|
|
|
15 |
|
12 |
|
|
|
Credits |
| M
171Q--Calculus I |
|
|
4 |
| M
172Q--Calculus II |
|
|
4 |
| M
221--Introduction to Linear
Algebra |
|
|
3 |
| M
273Q--Multivariable Calculus |
|
|
4 |
| M
274--Intro to Differential
Equation |
|
|
4 |
| Nine credits from the
following: |
| M
330--History of Mathematics |
|
|
3 |
| M
333--Linear Algebra |
|
|
3 |
| M
348--Techniques of Applied
Math I |
|
|
3 |
| M
349--Techniques of Applied
Math II |
|
|
3 |
| M
381--Advanced Calculus
I |
|
|
3 |
| M
382--Advanced Calculus
II |
|
|
3 |
| M 386R--Software Applications in Math |
|
|
3 |
| M 430--Math Biology |
|
|
3 |
| M
431--Abstract Algebra
I |
|
|
3 |
| M
441--Num Linear Alg & Optimization |
|
|
3 |
| M
442--Num Solution of Diff
Equations |
|
|
3 |
| M
450--Applied Mathematics
I |
|
|
3 |
| M
451--Applied Mathematics
II |
|
|
3 |
| M
454--Intro to Dynamical
Systems I |
|
|
3 |
| M
455--Intro to Dynamical
Systems II |
|
|
3 |
| M 472--Intro to Complex Analysis |
|
|
3 |
| STAT 421--Probability Theory |
|
|
3 |
| STAT 422--Mathematical Statistics |
|
|
3 |
|
|
|
28 |
| Choose one of the two: |
|
|
|
|
|
|
Credits |
| STAT
217Q--Intermed Stat Concept |
|
|
|
|
|
|
3 |
| STAT
332--Stat for Scientists & Engineers |
|
|
|
|
|
|
3 |
| Eight credits
of Math (171 or higher) |
|
|
|
|
|
|
8 |
| Twelve credits of STAT
(408 or higher) |
|
|
|
|
|
|
12 |
|
|
|
|
|
|
|
23 |
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