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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


MATHEMATICS OPTION

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 YearFS
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    84
1515
Sophomore YearFS
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    44
1514
Junior YearFS
MATH 333--Linear Algebra   3
MATH 361--Advanced Calculus I    3
MATH 362--Advanced Calculus II    3
Math or Stat Elect (See List Above)    33
University Core and Electives     69
1515
Senior YearFS
MATH 416--Modern Algebra    3
Math or Stat Elect (See List Above)    63
University Core and Electives     910
1516

APPLIED MATHEMATICS OPTION

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 YearFS
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
1515
Sophomore YearFS
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     44
1515
Junior YearFS
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)    33
University Core and Electives     69
1515
Senior YearFS
MATH 494--Rsrch Experiences in Appl Math    3
Math or Stat Elect (See List Above)    66
University Core and Electives     96
1515

STATISTICS OPTION

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.


MATHEMATICS TEACHING OPTION

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.

Multiple Subject Endorsement

Freshman YearFS
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    66
1615
Sophomore YearFS
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    53
1615
Junior YearFS
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
1515
Senior YearFS
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
1612

Single Endorsement

Freshman YearFS
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
1616
Sophomore YearFS
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
1515
Junior YearFS
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     43
1515
Senior YearFS
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
1612

MATHEMATICS MINOR (NON-TEACHING)

Credits
MATH 181Q--Calculus & Anl Geom I    4
MATH 182Q--Calculus & Anl Geom II     4
MATH 221--Matrix Theory    3
MATH 224Q--Calc Funct Sev Varib     4
MATH 225--Intro to Diff Equation    4
Nine credits from the following:
     MATH 328--Discrete Mathematics   3
     MATH 330--History of Mathematics    3
     MATH 333--Linear Algebra    3
     MATH 348--Tech of App Math I    3
     MATH 349--Tech of App Math II    3
     MATH 361--Advanced Calculus I    3
     MATH 362--Advanced Calculus II    3
     MATH 416--Modern Algebra    3
     MATH 430--Probability    3
     MATH 434--Mathematical Statistics    3
     MATH 441--Num Lin Alg & Optimiz    3
     MATH 442--Num Sol of Diff Eqatns     3
     MATH 449--Applied Complex Anlsis    3
     MATH 450--Applied Math I    3
     MATH 451--Applied Math II    3
     MATH 454--Intro Dynam Syst I    3
     MATH 455--Intro Dynam Syst II    3
     MATH 494R--Res Exp Appl Math    3
28

STATISTICS MINOR (NON-TEACHING)

One of these two:Credits
     STAT 217Q--Intermed Stat Concept 3
     STAT 332--Stat-Scientist & Engr3
Eight credits of MATH (170 or higher)
Twelve credits of STAT (410 or higher).
23

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