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> MSU Undergraduate 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, 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
MATH 181 (or MATH 191), 182 (or MATH 192), 221, 224 (or MATH 234), 225 (or MATH 235), 256, 333, 361, 362, 416 and STAT 332 are required. In addition, 15 credits from the following list are required: MATH 328, 330, 348, 349, 441, 442, 449, 450, 451, 454, 455, 494, and STAT 420 (MATH 430), and STAT 424 (MATH 434).
Six of these fifteen credits must be from MATH 441, 442, 449, 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 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--College Seminar
|
3 | | |
| ENGL 121W--College Writing I
|
| | 3 |
| Choose one of the two: |
MATH 181Q--Calculus & Anl Geom I |
4 | | |
MATH 191Q--Honors Calculus & Anl Geom I |
4 | | |
| Choose one of the two: |
MATH
182Q--Calculus & Anl Geom II |
| |
4 |
MATH
192Q--Honors Calc & Anl Geom II |
| | 4 |
| PHYS 211--Gen & Mod Phys I | | | 4 |
| University Core and Electives | 8 | | 4 |
| 15 | | 15 |
| Sophomore Year | F | | S |
| MATH 221--Matrix Theory | 3 | | |
| Choose one of the two: |
MATH 224Q--Calc Funct Sev Variab |
4 | | |
MATH
234Q--Honors Calc Funct Sev Variab |
4 | | |
| Choose one of the two: |
|
MATH
225--Intro to Diff Equation |
| | 4 |
|
MATH
235--Honors Intro to Diff Equation |
| | 4 |
| MATH 256--Intro to Higher Mathematics
| | | 3 |
| PHYS 212--Gen
& Mod Phys II | 4 | | |
| STAT 332--Stat-Scientist & Engr | | | 3 |
| University Core and Electives | 4 | | 4 | | 15 | | 14 |
| Junior Year | F | | S |
| MATH 333--Linear Algebra | 3 | | |
| MATH 361--Advanced Calculus I | 3 | | |
| MATH 362--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 |
| MATH 416--Modern
Algebra |
| | 3 |
| Math or Stat Elect (See List Above) | 6 | | 3 |
| University Core and Electives |
9 | | 10 |
| 15 | | 16 |
MATH 181 (or MATH 191),
182 (or MATH 192), 221, 224
(or MATH 234), 225 (or MATH
235), 256, 361, 362, 494 and
STAT 332 are required. In
addition, 18 credits from
the following list are required
MATH 328, 330, 333, 348, 349, 416, 441,
442, 449, 450, 451, 454, 455
and STAT 420 (MATH 430) and
STAT 424 (MATH 434). Twelve
of these 18 credits must be
from MATH 348, 349, 441, 442,
450, 451.
PHYS 211, 212, and 213 are required. However, with the agreement of the
student's advisor, 212 and 213 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 |
| Take one of the following: |
| CLS 101US--College Seminar |
3 | | |
| COM 110US--Public Communication |
3 | | |
| ENGL 121W--College Writing I |
| | 3 |
| Choose one of the two: |
| MATH 181Q--Calculus & Anl Geom I | 4 | | |
| MATH 191Q--Honors Calculus & Anl Geom I | 4 | | |
| Choose one of the two: |
| MATH 182Q--Calculus & Anl Geom II | | | 4 |
| MATH 192Q--Honors Calculus & Anl Geom II | | | 4 |
| PHYS 211--Gen & Mod Phys I | | | 4 |
| University Core and Electives |
8 |
| 4 |
| 15 | | 15 |
| Sophomore Year | F | | S |
| MATH 221--Matrix Theory | 3 | | |
| Choose one of the two: |
| MATH 224Q--Calc Funct Sev Varib |
4 | | |
| MATH 234Q--Honors Calc Funct Sev Varib |
4 | | |
| Choose one of the two: |
| MATH 225--Intro to Diff Equation | | | 4 |
| MATH 235--Honors Intro to Diff Equation | | | 4 |
| MATH 256--Intro to Higher Mathematics | | | 3 |
| PHYS 212--Gen & Mod Phys II | 4 | | |
| PHYS 213--Gen
& Mod Phys III |
| | 4 |
| University Core and Electives |
4 | | 4 |
| 15 | | 15 |
| Junior Year | F | | S |
| MATH 361--Advanced Calculus I | 3 | | |
| MATH 362--Advanced Calculus II | | | 3 |
| STAT 332--Stat Scientist & Engr | 3 | | |
| Math or Stat Elect (See List Above) | 3 | | 3 |
| University Core and Electives |
6 | | 9 |
| 15 | | 15 |
| Senior Year | F | | S |
| MATH 494--Rsrch Experiences in Appl Math | | | 3 |
| Math or Stat Elect (See List Above) | 6 | | 6 |
| University Core and Electives |
9 | | 6 |
| 15 | | 15 |
MATH 181, 182, 221, 224, 256, and 441 are required. STAT 338, 410, 412, 420, 424, 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
101US--College Seminar |
3 |
|
|
| COM
110US--Public Communication |
3 |
|
|
| ENGL 121W--College
Writing I |
|
|
3 |
| MATH 181Q--Calculus
& Anl Geom I |
4 |
|
|
| MATH 182Q--Calculus
& Anl Geom II |
|
|
4 |
| University Core and Electives |
8 |
|
7 |
|
15 |
|
14 |
| Sophomore Year |
F |
|
S |
| MATH 221--Matrix
Theory |
|
|
3 |
| MATH 224Q--Calc
Funct Sev Varib |
4 |
|
|
| Take either |
| STAT
216Q--Elementary Statistics |
3 |
|
|
| STAT
217Q--Intermed Stat Concept |
|
|
3 |
| or |
| STAT
332--Stat-Scientist & Engr |
3 |
|
|
| STAT
338--Stat Comp & Graphics |
|
|
3 |
| MATH
256--Fndtns of Math |
|
|
3 |
| Science/Lab Electives |
4 |
|
4 |
| University Core and Electives |
4 |
|
3 |
|
15 |
|
16 |
| Junior Year |
F |
|
S |
| MATH
441--Num Lin Alg & Optimiz |
3 |
|
|
| STAT 446--Sampling |
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 410--Data Analysis I
|
3 |
|
|
| STAT
412--Data Analysis II
|
|
|
3 |
| STAT 420--Probability |
3 |
|
|
| STAT 424--Mathematical
Stat |
|
|
3 |
| Math or Stat Elect (See Above) |
3 |
|
3 |
| University Core and Electives |
6 |
|
6 |
|
15 |
|
15 |
Actuary Profession Bound Students
Actuary profession-bound students are advised to take STAT 420 and STAT 424 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.
MATH 181, 182, 224, 225, 256, 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 MATH 221 or any other mathematics or statistics course numbered 300 or above. A teaching minor is required.
For a single endorsement in mathematics, MATH 221, 361, 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 101US--College Seminar |
3 | | |
| COM 110US--Public Communication |
3 | | |
| EDCI 102--In-School Experience | | | 1 |
| ENGL 121W--College Writing I |
| | 3 |
| Take one of the following: |
| HDCF 150IS--Lifespan Human Dev |
3 | | |
| HDCF 160--Human Development | 3 | | |
| HDHL 106--Drug & Health Issues for Ed | | | 1 |
| MATH 181Q--Calculus & Anl Geom I |
4 | | |
| MATH 182Q--Calculus & Anl Geom II |
| | 4 |
| University Core, Minor, & Electives | 6 | | 6 |
| 16 | | 15 |
| Sophomore Year | F | | S |
| EDCI 209--Ed Psych & Adol Dev |
3 | | |
| EDCI 240D--Intro to Multicultural Ed | | | 3 |
| EDCI 320--Found of Ed Tech | |
|
2 |
MATH 224Q--Calc Funct Sev Var | 4 | | |
| MATH 225--Intro to Diff Equation | | | 4 |
| MATH 256--Intro to Higher Math | | | 3 |
PHYS 205--College Physics I | 4 | | |
| University Core, Minor, & Electives | 5 | | 3 |
| 16 | | 15 |
| Junior Year | F | | S |
| EDCI 360--Found of Assessment | | | 2 |
| EDSD 471--Mthd Tch Mid Sch Math | | | 3 |
| HDCF 356--Exceptional Children | 3 | | |
| MATH 328--Found of Discrete Math | 3 | | |
| MATH 329--Modern Geometry | | | 3 |
| STAT 332--Stat Scientists & Engineers | 3 | | |
| Math/Stat(300+) | | | 3 |
| University Core, Minor, & Electives |
6 |
| 4 |
| 15 | | 15 |
| Senior Year | F | | S |
| EDSD 301--Paraprofessional Experience
| 1 | | |
| EDSD 410--Student Teaching | | | 10 |
| EDSD 413--Professional Issues | | | 2 |
| EDSD 461--Mth Tch Sr High Math
| 3 | | |
| MATH 428--Math Modeling | 3 | | |
| Math/Stat(300+) | 3 | | |
| University Core, Minor, & Electives |
6 | | |
| 16 | | 12 |
| Freshman Year | F | | S |
| Take one of the following: |
| CLS 101US--College Seminar |
3 | | |
| COM 110US--Public Communication |
3 | | |
| EDCI 102--In-School Experience | | | 1 |
| ENGL 121W--College Writing I |
| | 3 |
| Take one of the following: |
| HDCF
150IS--Lifespan Human Dev |
3 | | |
| HDCF 160--Human Development | 3 | | |
| HDHL 106--Drug & Hlth Issues for Ed | | | 1 |
| MATH 181Q--Calculus & Anl Geom I |
4 | | |
| MATH 182Q--Calculus & Anl Geom II |
| | 4 |
| PHYS 205--College Physics I | | | 4 |
| University Core and Electives | 6 | | 3 | | 16 | | 16 |
| Sophomore Year | F | | S |
| EDCI 209--Ed Psych & Adol Dev | 3 | | |
| EDCI 240D--Intro to Multicultural Ed | | | 3 |
| EDCI 320--Found of Ed Tech | | | 2 |
MATH 221--Matrix Theory | 3 | | |
MATH 224Q--Calc Funct Sev Var |
4 | | |
| MATH 225--Intro to Diff Equation | | | 4 |
| MATH 256--Intro to Higher Math | | | 3 |
| STAT 332--Statistics Scientists & Engineers | | | 3 |
| University Core and Electives |
5 | | |
| 15 | | 15 |
| Junior Year | F | | S |
| EDCI 360--Found of Assessment
| 2 | | |
| EDSD 461--Methd Teach Sr Hi Math | 3 | | |
| EDSD 471--Meth Tch Mid Sch Math | | | 3 |
| HDCF 356--Exceptional Children | | | 3 |
| MATH 328--Found of Discrete Math | 3 | | |
| MATH 329--Modern Geometry | | | 3 |
| MATH 361--Advanced Calculus I | 3 | | |
| Math/Stat(300+) | | | 3 |
| University Core and Electives |
4 | | 3 |
| 15 | | 15 |
| Senior Year | F | | S |
| EDSD 301--Paraprofessional Experience
| 1 | | |
| EDSD 410--Student Teaching | | | 10 |
| EDSD 413--Professional Issues | | | 2 |
| MATH 428--Math Model for Tchrs | 3 | | |
| EDSD 461--Methd Teach Sr Hi Math | 3 | | |
| Math/Stat(300+) | 6 | | |
| University Core and Electives |
3 | | |
| 16 | | 12 |
| One of these two: | Credits |
| STAT 217Q--Intermed Stat Concept |
3 |
| STAT 332--Stat-Scientist & Engr | 3 |
| Eight credits of MATH (170 or higher) |
| Twelve credits of STAT (410 or higher). |
| 23 |
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