> 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 fouryear baccalaureate
curriculum in mathematics
is flexible and can accommodate
students desiring to concentrate
in mathematics, applied mathematics,
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 modern
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
The applied mathematics
option 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 172 (or M 181), 172 (or
M 182), 221, 273 (or M 283),
274 (or M 284), 242, 333,
381, 382, 416 and STAT 332
are required. In addition,
15 credits from the following
list are required: M 328,
330, 348, 349, 421 (STAT 421),
422 (STAT 422), 441, 442,
449, 450, 451, 454, 455, and
494. Six of these fifteen
credits must be from M 441,
442, 472, 450, 451, 454, and
455.
PHYS 211 and 212 are required.
However, with the agreement
of the student's advisor,
PHYS 212 may be replaced with
a course in another Mematical
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
101USCollege Seminar 
3 


WRIT
101WCollege Writing 


3 
Choose one of the two: 
M
171QCalculus I 
4 


M
181QHonors Calculus
I 
4 


Choose one of the two: 
M
172QCalculus II 


4 
M
182QHonors Calculus
II 


4 
PHYS
211Gen & Mod Phys
I 


4 
University
Core and Electives 
8 

4 

15 

15 
Sophomore
Year 
F 

S 
M
221Introduction to Linear
Algebra 
3 


Choose one of the two: 
M
273QMultivariable Calculus 
4 


M
283QHonors Multivariable
Calculus 
4 


Choose one of the two: 
M
274Intro to Diffential
Equations 


4 
M
284Honors Intro to Diff
Equations 


4 
M
242Methods of Proof 


3 
PHSX
222Physics
II 
4 


STAT
332Stat for Scientists & Engin 


3 
University
Core and Electives 
4 

4 

15 

14 
Junior
Year 
F 

S 
M
333Linear Algebra 
3 


M
381Advanced Calculus
I 
3 


M
382Advanced 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
431Abstract Algebra
I Algebra 


3 
Math or Stat
Elect (See List Above) 
6 

3 
University
Core and Electives 
9 

10 

15 

16 
M 181 (or M 191), 182 (or
M 192), 221, 273 (or M 283),
274 (or M 284), 242, 381,
382, 486 and STAT 332 are
required. In addition, 18
credits from the following
list are required M 328, 330,
333, 348, 349, 431, 421 (STAT
421), 422 (STAT 422), 441,
442, 449, 450, 451, 454, and
455. Twelve of these 18 credits
must be from M 348, 349, 441,
442, 450, 451.
PHSX 220, 222, and 224
are required. However, with
the agreement of the student's
advisor, 222 and 224 may be
replaced by a twocourse 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 
Take one of the following: 
CLS
101USCollege Seminar 
3 


COM
110USPublic Communication 
3 


WRIT
101WCollege Writing
I 


3 
Choose one of the two: 
M
171QCalculus I 
4 


M
181QHonors Calculus
I 
4 


Choose one of the two: 
M
172QCalculus II 


4 
M
182QHonors Calculus
II 


4 
PHSX
220Physics
I 


4 
University
Core and Electives 
8 

4 

15 

15 
Sophomore
Year 
F 

S 
M
221Introduction to Linear
Algebra 
3 


Choose one of the two: 
M
273QMultivariable Calculus 
4 


M
283QHonors Multivariable
Calculus 
4 


Choose one of the two: 
M
274Intro to Differential
Equations 


4 
M
284Honors Intro to Diff
Equations 


4 
M
242Methods of Proof 


3 
PHSX
222Physics II

4 


PHSX
224Physics
III 


4 
University
Core and Electives 
4 

4 

15 

15 
Junior
Year 
F 

S 
M
381Advanced Calculus
I 
3 


M
382Advanced Calculus
II 


3 
STAT
332Stat for Scientists & Engin 
3 


Math or Stat
Elect (See List Above) 
3 

3 
University
Core and Electives 
6 

9 

15 

15 
Senior
Year 
F 

S 
M
486Research Exp in Applied
Math 


3 
Math or Stat
Elect (See List Above) 
6 

6 
University
Core and Electives 
9 

6 

15 

15 
M 171, 172, 221, 273, 242,
and 441 are required. STAT
338, 410, 412, 421, 422, 446,
and either STAT 332 or both
STAT 216 and 217 are required.
Math or Stat electives
referenced in junior and senior
years must be selected from
STAT 431, STAT 437, STAT 439,
STAT 448, STAT 480, or from
courses approved by an advisor.
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 
Take one of the following: 
CLS
101USCollege Seminar 
3 


COM
110USPublic Communication 
3 


WRIT
101WCollege Writing
I 


3 
M
171QCalculus I 
4 


M
172QCalculus II 


4 
University
Core and Electives 
8 

7 

15 

14 
Sophomore
Year 
F 

S 
M
221Introduction to Linear
Algebra 


3 
M
273QMultivariable Calculus 
4 


Take either 
STAT
216QIntroduction to
Statistics 
3 


STAT
217QIntermed Stat Concept 


3 
or 
STAT
332StatScientist & Engr 
3 


STAT
338Stat Computing & Grph
Analysis 


3 
M
242Methods of Proof 


3 
Science/Lab
Electives 
4 

4 
University
Core and Electives 
4 

3 

15 

16 
Junior
Year 
F 

S 
M
441Num Linear Alg & Optimization 
3 


STAT
446Sampling 
3 


Math or Stat
Elect (See Above) 


3 
Science/Lab
Electives 
4 

4 
University
Core and Electives 
5 

8 

15 

15 
Senior
Year 
F 

S 
STAT
410Data Analysis I 
3 


STAT
412Data Analysis II 


3 
STAT
421Probability Theory 
3 


STAT
422Mathematical Stat 


3 
Math or Stat
Elect (See Above) 
3 

3 
University
Core and Electives 
6 

6 

15 

15 
Actuary Profession Bound
Students
Actuary professionbound
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, 2214 Wilson Hall.
M 171, 172, 273, 274, 242,
328, 329, 428 and STAT 332
are required. PHYS 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 endorsement
in mathematics, M 221, 381,
and nine additional credits
of electives are required.
These credits may be chosen
from any mathematics or statistics
course numbered 300 or above.
Freshman
Year 
F 

S 
Take one of the following: 
CLS
101USCollege Seminar 
3 


COM
110USPublic Communication 
3 


EDU
202Early Field Experience 


1 
WRIT
101WCollege Writing
I 


3 
Take one of the following: 
HDCF
150ISLifespan Human
Dev 
3 


HDCF
160Human Development 
3 


HDHL
106Drug & Health
Issues for Ed 


1 
M
171QCalculus I 
4 


M
172QCalculus II 


4 
University
Core, Minor, & Electives 
6 

6 

16 

15 
Sophomore
Year 
F 

S 
EDU
223Ed Psy & Adolescent
Dev 
3 


EDU
211DMulticultural Education 


3 
EDU
370Integrating Tech
into Education 


2 
M
273QMultivariable Calculus 
4 


M
274Intro to Diffential
Equation 


4 
M
242Methods of Proof 


3 
PHSX
205College Physics I
 4 


University
Core, Minor, & Electives 
5 

3 

16 

15 
Junior
Year 
F 

S 
EDU
382Assessment, Curric,
Instruction 


2 
EDU
497RMethods: 58 Mathematics



3 
HDCF
356Exceptional Children 
3 


M
328Higher Math for Sec
Teachers 
3 


M
329Modern Geometry 


3 
STAT
332Stat for Scientists & Engin 
3 


Math/Stat(300+) 


3 
University
Core, Minor, & Electives 
6 

4 

15 

15 
Senior
Year 
F 

S 
EDU
395Practicum: 512 
1 


EDU
495Student Teaching:
512 


10 
EDU
408Professional Issues:
512 


2 
EDU
497Methods: 912 Mathematics 
3 


M
428Math Modeling for
Teachers 
3 


Math/Stat(300+) 
3 


University
Core, Minor, & Electives 
6 



16 

12 
Freshman
Year 
F 

S 
Take one
of the following: 
CLS
101USCollege Seminar 
3 


COM
110USPublic Communication 
3 


EDU
202Early Field Experience 


1 
WRIT
101WCollege Writing
I 


3 
Take one
of the following: 
HDCF
150ISLifespan Human
Dev 
3 


HDCF
160Human Development 
3 


HDHL
106Drug & Hlth Issues
for Ed 


1 
M
171QCalculus I 
4 


M
172QCalculus II 


4 
PHSX
205College Physics I 


4 
University
Core and Electives 
5 

3 

15 

16 
Sophomore
Year 
F 

S 
EDU
223Ed Psy & Adolescent
Dev 
3 


EDU
211DMulticultural Education 


3 
EDU
370Integrating Tech
into Education 
2 


M
221Introduction to Linear
Algebra 
3 


M
273QMultivariable Calculus 
4 


M
274Intro to Diffential
Equations 


4 
M
242Methods of Proof 


3 
STAT
332Stat for Scientists & Engin 


3 
University
Core and Electives 
3 

3 

15 

16 
Junior
Year 
F 

S 
EDU
382Assessment, Curric,
Instruction 
2 


EDU
497RMethods: 58 Mathematics



3 
HDCF
356Exceptional Children 


3 
M
328Higher Math for Sec
Teachers 
3 


M
329Modern Geometry 


3 
M
381Advanced Calculus
I 
3 


Math/Stat(300+) 


3 
University
Core and Electives 
7 

3 

15 

15 
Senior
Year 
F 

S 
EDU
395Practicum: 512 
1 


EDU
495Student Teaching:
512 


10 
EDU
408Professional Issues:
512 


2 
M
428Math Modeling for
Teachers 
3 


EDU
497Methods: 912 Mathematics

3 


Math/Stat(300+) 
6 


University
Core and Electives 
3 



16 

12 



Credits 
M
171QCalculus I 


4 
M
172QCalculus II 


4 
M
221Introduction to Linear
Algebra 


3 
M
273QMultivariable Calculus 


4 
M
274Intro to Differential
Equation 


4 
Nine credits from the
following: 
M
328Higher Math for Sec
Teachers 


3 
M
330History of Mathematics 


3 
M
333Linear Algebra 


3 
M
348Techniques of Applied
Math I 


3 
M
349Techniques of Applied
Math II 


3 
M
381Advanced Calculus
I 


3 
M
382Advanced Calculus
II 


3 
M
431Abstract Algebra
I 


3 
M
421Probability Theory 


3 
M
422Mathematical Statistics 


3 
M
441Num Linear Alg & Optimization 


3 
M
442Num Solution of Diff
Equations 


3 
M
472Intro to Complex
Analysis 


3 
M
450Applied Mathematics
I 


3 
M
451Applied Mathematics
II 


3 
M
454Intro to Dynamical
Systems I 


3 
M
455Intro to Dynamical
Systems II 


3 
M
486RResearch Exp in
Applied Math 


3 



28 
One of these two: 
Credits 
STAT
217QIntermed Stat Concept 
3 
STAT
332Stat for Scientist & Engin 
3 
Eight credits
of Math (170 or higher) 
Twelve credits of STAT
(410 or higher). 

23 
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