Mathematical Sciences
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. programs in mathematics, applied mathematics, statistics, and in the teaching option 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. Additional work can be taken at the graduate level leading towards a master's degree in mathematics, oriented toward teacher preparation.
Students usually opt for multiple subject endorsement, in which case they must complete a teaching minor in an area of their choice. However, students may opt for a single endorsement in mathematics, in which case they take additional coursework in mathematics instead of a minor. The single endorsement is most appropriate for students who are strong mathematically. Students are advised, however, that adding a minor endorsement to their credentials can increase their chances of employment in Montana.
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
- Applied Mathematics Option
- Statistics Option
- Mathematics Teaching Option
- Mathematics Minor (Non-Teaching)
- Statistics Minor (Non-Teaching)
MATHEMATICS OPTION
MATH 181, 182, 221, 224, 225, 333, 361-362, 416, and STAT 332 are required. In addition, 15 credits from the following list are required: MATH 328, 330, 348, 349, 394, 441, 442, 449, 450, 451, 454, 455, and STAT 420 (MATH 430), and STAT 424 (MATH 434). Six of the fifteen must be from 441, 442, 449, 450, 451, 454, and 455.
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 application area.
A minimum of 120 credits is required for graduation; 42 of these credits must be in courses numbered 300 and above.
| Freshman Year | F | S | |
|---|---|---|---|
| Take one of the following: | |||
| CLS 101--College Seminar | 3 | ||
| COM 110--Public Communication | 3 | ||
| WRIT 101W--College Writing I | 3 | ||
| MATH 181--Calculus & Anl Geom I | 4 | ||
| MATH 182--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 | ||
| MATH 224--Calc Funct Sev Varib | 4 | ||
| MATH 225--Intro to Diff Equation | 4 | ||
| PHYS 212--Gen & Mod Phys II | 4 | ||
| PHYS 213--Gen & Mod Phys III | 4 | ||
| STAT 332--Stat-Scientist & Engr | 3 | ||
| University Core and Electives | 4 | 4 | |
| 15 | 15 | ||
| 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 | 6 | |
| University Core and Electives | 6 | 6 | |
| 15 | 15 | ||
| Senior Year | F | S | |
| MATH 416--Modern Algebra | 3 | ||
| Math or Stat Elect (See List Above) | 6 | ||
| University Core and Electives | 9 | 12 | |
| 15 | 15 |
APPLIED MATHEMATICS OPTION
MATH 181, 182, 221, 224, 225, 348-349, 441, 442, and STAT 332 are required. In addition, 15 credits from the following list are required: MATH 328, 330, 333, 361, 362, 394, 416, 449, 450, 451, 454, 455, and STAT 420 (MATH 430), and STAT 424 (MATH 434).
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 application area.
A minimum of 120 credits is required for graduation; 42 of these credits must be in courses numbered 300 and above.
| Freshman Year | F | S | |
|---|---|---|---|
| Take one of the following: | |||
| CLS 101--College Seminar | 3 | ||
| COM 110--Public Communication | 3 | ||
| CS 160--Intro to Computer Science | 4 | ||
| WRIT 101W--College Writing I | 3 | ||
| MATH 181--Calculus & Anl Geom I | 4 | ||
| MATH 182--Calculus & Anl Geom II | 4 | ||
| PHYS 211--Gen & Mod Phys I | 4 | ||
| University Core and Electives | 4 | 4 | |
| 15 | 15 | ||
| Sophomore Year | F | S | |
| MATH 221--Matrix Theory | 3 | ||
| MATH 224--Calc Funct Sev Varib | 4 | ||
| MATH 225--Intro to Diff Equation | 4 | ||
| PHYS 212--Gen & Mod Phys II | 4 | ||
| PHYS 213--Gen & Mod Phys III | 4 | ||
| STAT 332--Stat-Scientist & Engr | 3 | ||
| University Core and Electives | 4 | 4 | |
| 15 | 15 | ||
| Junior Year | F | S | |
| MATH 348--Tech of App Math I | 3 | ||
| MATH 349--Tech of App Math II | 3 | ||
| Math or Stat Elect (See List Above) | 6 | 3 | |
| University Core and Electives | 6 | 9 | |
| 15 | 15 | ||
| Senior Year | F | S | |
| MATH 441--Num Lin Alg & Optimiz | 3 | ||
| MATH 442--Num Sol of Diff Eqns | 3 | ||
| Math or Stat Elect (See List Above) | 3 | 3 | |
| University Core and Electives | 9 | 9 | |
| 15 | 15 |
STATISTICS OPTION
MATH 181, 182, 221, 224, and either MATH 333 or 441 are required. STAT 410, 412, 420, 424, 438, 446, and either STAT 216, 217, or 332 are required.
Math or Stat electives referenced in sophomore and senior years must be selected from STAT 431, STAT 437, STAT 439, STAT 480, the Mathematics Minor (non-teaching, 300 or above), 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.
| Freshman Year | F | S | |
|---|---|---|---|
| Take one of the following: | |||
| CLS 101--College Seminar | 3 | ||
| COM 110--Public Communication | 3 | ||
| CS 160--Intro to Comp Science | 4 | ||
| University Core and Electives | 4 | 7 | |
| WRIT 101W--College Writing I | 3 | ||
| MATH 181--Calculus & Anl Geom I | 4 | ||
| MATH 182--Calculus & Anl Geom II | 4 | ||
| 15 | 14 | ||
| Sophomore Year | F | S | |
| MATH 221--Matrix Theory | 3 | ||
| MATH 224--Calc Funct Sev Varib | 4 | ||
| Take either | |||
| STAT 216--Elementary Statistics | 3 | ||
| STAT 217--Intermed Stat Concept | 3 | ||
| or | |||
| STAT 332--Stat-Scientist & Engr | 3 | ||
| Math or Stat Elect (See Above) | 3 | ||
| Science/Lab Electives | 5 | 5 | |
| University Core and Electives | 4 | 4 | |
| 16 | 15 | ||
| Junior Year | F | S | |
| Take one of the following: | |||
| MATH 333--Linear Algebra | 3 | ||
| MATH 441--Num Lin Alg & Optimiz | 3 | ||
| STAT 438--Graph Tech in Data Analy | 3 | ||
| STAT 446--Sampling | 3 | ||
| Science/Lab Electives | 4 | 4 | |
| University Core and Electives | 5 | 8 | |
| 15 | 15 | ||
| Senior Year | F | S | |
| STAT 410--Applied Multiple Regrs | 3 | ||
| STAT 412--Analysis Var & Dsn Exp | 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 216 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, STAT 217, 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 STAT 217, or any other mathematics or statistics course numbered 300 or above.
Multiple Subject Endorsement
| Freshman Year | F | S | |
|---|---|---|---|
| Take one of the following: | |||
| CLS 101--College Seminar | 3 | ||
| COM 110--Public Communication | 3 | ||
| EDCI 102--In-School Experience | 1 | ||
| WRIT 101W--College Writing I | 3 | ||
| HDCF 150--Lifespan Human Devlpmt | 3 | ||
| MATH 181--Calculus & Anl Geom I | 4 | ||
| MATH 182--Calculus & Anl Geom II | 4 | ||
| University Core, Minor, & Electives | 6 | 7 | |
| 16 | 15 | ||
| Sophomore Year | F | S | |
| EDCI 209--Ed Psy Adol Dev | 3 | ||
| EDCI 360--Found of Assmnt | 2 | ||
| HDHL 106--Drug Hlth Issue for Ed | 1 | ||
| MATH 224--Calc Funct Sev Varib | 4 | ||
| MATH 225--Intro to Diff Equation | 4 | ||
| MATH 256--Fndtn of Higher Math | 3 | ||
| PHYS 205--College Physics I | 4 | ||
| STAT 216--Elementary Statistics | 3 | ||
| University Core, Minor, & Electives | 6 | ||
| 16 | 16 | ||
| Junior Year | F | S | |
| EDCI 320--Found of Instr Computing | 2 | ||
| EDSD 461--Mthd of Tchng Sr High Math | 3 | ||
| EDSD 363--Multicultural Education | 1 | ||
| EDSD 471--Meth Tch Mid Sch Math | 3 | ||
| EDSD 462--Teach the Except Student | 1 | ||
| EDSD 464--Teach Content Read Strat | 1 | ||
| MATH 328--Discrete Mathematics | 3 | ||
| MATH 329--Modern Geometry | 3 | ||
| Math (300+) or Stat (217+) or MATH 221 | 3 | ||
| University Core, Minor, & Electives | 5 | 5 | |
| 15 | 15 | ||
| Senior Year | F | S | |
| EDSD 410--Student Teaching | 10 | ||
| EDSD 413--Professional Issues | 2 | ||
| MATH 428--Math Model for Tchrs | 3 | ||
| Math (300+) or Stat (217+) or MATH 221 | 3 | ||
| University Core, Minor, & Electives | 9 | ||
| 15 | 12 |
Single Endorsement
| Freshman Year | F | S | |
|---|---|---|---|
| Take one of the following: | |||
| CLS 101--College Seminar | 3 | ||
| COM 110--Public Communication | 3 | ||
| EDCI 102--In-School Experience | 1 | ||
| WRIT 101W--College Writing I | 3 | ||
| HDCF 150--Lifespan Human Devlpmt | 3 | ||
| MATH 181--Calculus & Anl Geom I | 4 | ||
| MATH 182--Calculus & Anl Geom II | 4 | ||
| STAT 216--Elementary Statistics | 3 | ||
| University Core and Electives | 6 | 4 | |
| 16 | 15 | ||
| Sophomore Year | F | S | |
| EDCI 209--Ed Psy Hum Dev Adol | 3 | ||
| EDCI 360--Found of Assmnt | 2 | ||
| HDHL 106--Drug Hlth Issue for Ed | 1 | ||
| MATH 221--Matrix Theory | 3 | ||
| MATH 224--Calc Funct Sev Varib | 4 | ||
| MATH 225--Intro to Diff Equation | 4 | ||
| MATH 256--Fndtn of Higher Math | 3 | ||
| PHYS 205--College Physics I | 4 | ||
| University Core and Electives | 5 | ||
| 15 | 16 | ||
| Junior Year | F | S | |
| EDCI 320--Found of Instr Compute | 2 | ||
| EDSD 361--Methd Teach Sr Hi Math | 3 | ||
| EDSD 363--Multicult Education | 1 | ||
| EDSD 371--Meth Tch Mid Sch Math | 3 | ||
| MATH 328--Discrete Mathematics | 3 | ||
| MATH 329--Modern Geometry | 3 | ||
| MATH 361--Advanced Calculus I | 3 | ||
| Math (300+) or Stat (217+) | 3 | ||
| University Core and Electives | 5 | 3 | |
| 15 | 16 | ||
| Senior Year | F | S | |
| EDSD 410--Student Teaching | 10 | ||
| EDSD 413--Professional Issues | 2 | ||
| MATH 428--Math Model for Tchrs | 3 | ||
| Math(300+) or Stat 217 | 6 | ||
| University Core and Electives | 6 | ||
| 15 | 12 |
MATHEMATICS MINOR (NON-TEACHING)
| Credits | |||
|---|---|---|---|
| MATH 181--Calculus & Anl Geom I | 4 | ||
| MATH 182--Calculus & Anl Geom II | 4 | ||
| MATH 221--Matrix Theory | 3 | ||
| MATH 224--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 394--Software for Math Comp | 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 | ||
| 28 |
STATISTICS MINOR (NON-TEACHING)
| One of these two: | Credits |
| STAT 217--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 |
|---|
