Chairperson: Logan Axon
Professors: V. Coufal, T. McKenzie, S. Overbay, J. Burke (Emeritus), W. Carsrud (Emeritus), J. Firkins (Emeritus)
Associate Professors: M. Alsaker, L. Axon, R. Cangelosi, M. Ghrist, E. Hogle, M. K. Kearney, R. Ray, K. Shultis, J. Stover, G. Nord (Emeritus), J. Vander Beek (Emeritus), H. Whitlatch
Assistant Professors: D. Larson, A. Mamun
Senior Lecturers: C. Goodwin, O. Kozubenko, S. Powers
Lecturers: T. Guardia
The department offers two degrees, three majors, and three minors:
Bachelor of Science in Mathematics
(optional concentration in Statistics)
Bachelor of Arts in Mathematics
(optional concentration in Statistics)
Bachelor of Science in Applied Mathematics
(optional concentrations in: Actuarial Science, Biology, Biochemistry, Chemistry, Computer Science, Economics, Environmental Science, Physics, Statistics)
(optional double concentrations in: Biology and Statistics, Biochemistry and Statistics, Chemistry and Statistics, Economics and Statistics, Environmental Science and Statistics, Physics and Statistics)
Minor in Applied Mathematics
Minor in Mathematics
Minor in Statistics
The Department of Mathematics provides training in mathematics and statistics and their applications to solve problems in business, engineering, the social sciences, and other disciplines. The curriculum offers a blend of pure mathematics, applied mathematics and statistics. The department provides students with opportunities to foster their passion for mathematics and statistics, and to enhance their understanding of the role of mathematics and statistics in the world. Such opportunities include participating in conferences, community teaching, undergraduate research, and clubs. Majors are well prepared for positions in industry, government, and education, as well as for graduate studies.
All majors must take a senior comprehensive course (MATH 496 or MATH 499) in the fall semester of their final year. It is recommended that all Mathematics majors take PHYS 121, CHEM 101, or BIOL 105 to satisfy their University Core Scientific Inquiry requirement. Prospective teachers of mathematics should consult the School of Education for the current state certification requirements.
The department involves students with activities sponsored by the Mathematical Association of America (MAA) and the Society of Industrial and Applied Mathematics (SIAM). Students may also participate in the William Lowell Putnam Mathematical Competition or the Mathematical Contest in Modeling.
Students pursuing a major in Mathematics may pursue a concentration in Statistics (or no concentration). Students pursing a major in Applied Mathematics may choose a single concentration from the list below (or no concentration). Some Applied Mathematics concentrations may also be combined with a concentration in Statistics for a double concentration (see the list below). Other combinations of concentrations are not allowed. Students pursuing a major in Mathematics or Applied Mathematics cannot pursue a minor in Mathematics, Applied Mathematics or Statistics. Students are able to major or minor in Mathematics or Applied Mathematics, but not both.
B.S. Major in Mathematics: 40 Credits |
|
Lower Division |
|
| MATH 157 Calculus and Analytic Geometry I | 4 credits |
| MATH 258 Calculus and Analytic Geometry II | 4 credits |
| MATH 259 Calculus and Analytic Geometry III | 4 credits |
Upper Division |
|
| MATH 301 Fundamentals of Mathematics | 3 credits |
| MATH 339 Linear Algebra | 3 credits |
| MATH 413 Real Analysis I |
3 credits |
| MATH 437 Abstract Algebra I |
3 credits |
| Choose one of the following five courses: | 3 credits |
|
MATH 414 Real Analysis II
|
|
|
MATH 417 Complex Analysis
|
|
|
MATH 438 Abstract Algebra II
|
|
|
MATH 457 Number Theory & Cryptography
|
|
|
MATH 459 Topology
|
|
| MATH 300-400 level electives* |
6 credits |
| MATH 400-level electives | 6 credits |
| MATH 499 Comprehensive - Math | 1 credit |
|
* One of these courses may be replaced by MATH 260. |
|
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 432 or MATH 496 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|
B.S. Major in Mathematics with a concentration in Statistics: 49 Credits |
|
| Students complete the B.S. Major in Mathematics as listed above, with the following two differences for Math Electives: 3 credits instead of 6 for MATH 300-400 level electives, 3 credits instead of 6 for MATH 400-level electives Plus additional statistics courses. |
|
| Choose one of the following two courses: | 3 credits |
|
MATH 321 Statistics for Experimentalists
|
|
|
MATH 422 Mathematical Statistics
|
|
| MATH 421 Probability Theory | 3 credits |
|
Choose one of the following two courses: |
3 credits |
|
MATH 425 Applied Statistical Models
|
|
|
MATH 426 Experimental Design
|
|
| MATH 300-400 level elective* |
3 credits |
| MATH 400-level elective | |
|
Statistics electives |
6 credits |
|
Select two courses from the Statistics Electives list.
|
|
|
One course must be MATH. Cannot double-count with courses used elsewhere.
|
|
| *One of these courses may be replaced by MATH 260 | |
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 432 or MATH 496 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|
B.A. Major in Mathematics: 31 Credits |
|
Lower Division |
|
| MATH 157 Calculus and Analytic Geometry I | 4 credits |
| MATH 258 Calculus and Analytic Geometry II | 4 credits |
| MATH 259 Calculus and Analytic Geometry III | 4 credits |
Upper Division |
|
| MATH 301 Fundamentals of Mathematics | 3 credits |
| MATH 339 Linear Algebra | 3 credits |
| One of the following two courses: |
3 credits |
|
MATH 413 Real Analysis I
|
|
|
MATH 437 Abstract Algebra I
|
|
| MATH 300-400-level elective* | 6 credits |
| MATH 400-level elective |
3 credits |
| MATH 499 Comprehensive - Math | 1 credit |
| * One of these courses may be replaced by MATH 260. | |
|
Cannot use MATH 335, MATH 432 or MATH 496 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|
B.A. Major in Mathematics with a concentration in Statistics: 40 Credits |
|
|
Students complete the B.A. Major in Mathematics as listed above, plus additional credits of statistics courses. Math electives are changed as follows:
|
|
|
MATH 300-400 level elective |
3 credits |
| MATH 421 Probability Theory | 3 credits |
|
Choose one of the following two courses: |
3 credits |
| MATH 321 Statistics for Experimentalists | |
| MATH 422 Mathematical Statistics | |
| Choose one of the following two courses |
3 credits |
| MATH 425 Applied Statistical Models | |
| MATH 426 Experimental Design | |
| Statistics electives | 6 credits |
|
Select two courses from the Statistics Electives list.
|
|
|
One course must be MATH. Cannot double-count with courses used elsewhere.
|
|
| *One of these courses may be replaced by MATH 260 | |
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 432 or MATH 496 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|
B.S. Major in Applied Mathematics: 57-77 Credits
Lower Division |
|||||
| MATH 157 Calculus and Analytic Geometry I | 4 credits | ||||
| MATH 258 Calculus and Analytic Geometry II | 4 credits | ||||
| MATH 259 Calculus and Analytic Geometry III | 4 credits | ||||
| MATH 260 Ordinary Differential Equations* | 3 credits | ||||
| CPSC 121 Computer Science I | 3 credits | ||||
Upper Division |
|||||
| MATH 301 Fundamentals of Mathematics | 3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
| MATH 335 Applied Linear Algebra | |||||
| MATH 339 Linear Algebra | |||||
| MATH 350 Numerical Methods(2) | 3 credits | ||||
| MATH 413 Real Analysis I(3) |
3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
|
MATH 321 Statistics for Experimentalists(4)
|
|||||
|
MATH 422 Mathematical Statistics (5)
|
|||||
| MATH 496 Comprehensive - Applied Math | 1 credit | ||||
| Select an Applied Math concentration option | 23-43 credits | ||||
|
Select one of the following Applied Math concentration options: |
|||||
|
(Due to the interdisciplinary nature of the following options, students should make note of pre-requisites and minimum grade requirements that may not be listed as degree requirements.) |
|||||
| No concentration | 23-25 credits | ||||
| Actuarial Science concentration | 35 credits | ||||
| Biology concentration | 34 credits | ||||
| Biochemistry concentration |
33 credits |
||||
| Chemistry concentration | 33 credits | ||||
| Computer Science concentration | 33 credits | ||||
| Economics concentration | 30-31 creds | ||||
| Environmental Science concentration | 34 credits | ||||
| Physics concentration | 31 credits | ||||
| Statistics concentration | 31-32 creds | ||||
| Biology and Statistics double concentration | 43 credits | ||||
| Biochemistry and Statistics double concentration | 42 credits | ||||
| Chemistry and Statistics double concentration | 42 credits | ||||
| Economics and Statistics double concentration | 39-40 creds | ||||
| Environmental Science and Statistics double concentration | 43 credits | ||||
| Physics and Statistics double concentration | 40 credits | ||||
| NOTE Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 339, MATH 432 or MATH 499 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|||||
| * Computer Science concentration only: MATH 260 optional, may be counted as a MATH 300-400 level elective. |
|||||
| (2)Actuarial Science Concentration students take MATH 423 Stochastic Processes instead of MATH 350. |
|||||
| (3)Computer Science concentration students may choose MATH 437 Abstract Algebra I, or MATH 457 Number Theory and Cryptography instead of MATH 413. |
|||||
| (4)Actuarial Science concentration students must take MATH 422 (not MATH 321). | |||||
| (5)All non-double concentrations except Actuarial Science: If MATH 422 is chosen, then one MATH 400-level elective may be replaced by a MATH 300-level elective. |
|||||
No concentration: 23-25 credits (34 + 23-25 credits) |
57-59 credits | ||||
| Choose two of the following three courses/lab combinations: |
8 credits | ||||
|
BIOL 105/BIOL 105L Info Flow in Biological Systems and Lab
|
|||||
|
CHEM 101/CHEM 101L General Chemistry and Lab
|
|||||
|
PHYS 121 Physics I
|
|||||
| Choose one of the following four courses: | 3-5 credits | ||||
|
BIOL 106 Energy Flow in Biological Systems (3 credits)
|
|||||
|
CHEM 205 Inorganic Chemistry (3 credits)
|
|||||
|
CHEM 230/CHEM 230L Organic Chemistry I and Lab (5 credits)
|
|||||
|
PHYS 122 Physics II (4 credits)
|
|||||
| Choose one of the following three courses: | 3 credits | ||||
|
MATH 440 Foundations of Applied Math
|
|||||
|
MATH 454 Partial Differential Equations
|
|||||
|
MATH 462 Nonlinear Systems and Chaos
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 400- level electives | 6 credits | ||||
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 339, MATH 432 or MATH 499 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|||||
Applied Math Single Concentrations: |
|||||
Actuarial Science Concentration: 34 credits + 35 credits |
69 credits | ||||
| ACCT 263 Accounting Analysis | 3 credits | ||||
| ECON 201 Microeconomics | 3 credits | ||||
| ECON 202 Macroeconomics | 3 credits | ||||
| ECON 301 Intermediate Microeconomics |
3 credits |
||||
| ECON 352 Money and Banking |
3 credits |
||||
| ECON 352L Money and Banking Lab |
1 credit |
||||
| ECON 355 Regression Analysis |
3 credits |
||||
| ECON 451 Econometrics |
3 credits |
||||
| MATH 421 Probability Theory |
3 credits |
||||
| MATH 494 Topics in Actuarial Science |
1 credit |
||||
| MATH 300-400 electives | 6 credits | ||||
| One of the following two options: |
3 credits |
||||
|
MATH 400- level elective
|
|||||
|
ECON 452 Time Series Analysis
|
|||||
|
Math Electives: cannot double-count with a required course. |
|||||
Biology concentration: 34 credits + 34 credits |
|||||
| CHEM 101/CHEM 101L General Chemistry and Lab | 4 credits | ||||
| BIOL 105/BIOL 105L Info Flow in Biological Systems and Lab | 4 credits | ||||
| BIOL 106 Energy Flow in Biological Systems | 3 credits | ||||
| Choose two of the following three courses: |
8 credits | ||||
|
BIOL 205/BIOL 205L Physiology and Biodiversity and Lab
|
|||||
|
BIOL 206/BIOL 206L Ecology and Lab
|
|||||
|
BIOL 207/BIOL 207L Genetics and Lab
|
|||||
| BIOL 300-400 level electives(1) | 6 credits | ||||
| Choose one of the following three courses: | 3 credits | ||||
|
MATH 440 Foundations of Applied Math
|
|||||
|
MATH 454 Partial Differential Equations
|
|||||
|
MATH 462 Nonlinear Systems and Chaos
|
|||||
| MATH 400- level electives | 6 credits | ||||
| (1)Biology elective options: BIOL 303, 313, 323, 331, 333, 335, 338, 340, 341, 343, 344, 357, 360, 367, 371, 399, 403, 420, 441 (other courses may be considered on a case-by-case basis). BIOL 334, 337, and 451 are allowed but require BIOL 205, 206, and 207 as pre-requisites. Up to 2 credits may come from labs associated with any of these courses. |
|||||
|
Math Electives: cannot double-count with a required course. |
|||||
Biochemistry concentration: (34 credits + 33 credits) |
67 credits | ||||
| CHEM 101/CHEM 101L General Chemistry and Lab | 4 credits | ||||
| CHEM 230/CHEM 230L Organic Chemistry I and Lab | 5 credits | ||||
| CHEM 231/CHEM 231L Organic Chemistry II and Lab | 4 credits | ||||
| CHEM 245/CHEM 245L Biochemistry and Lab | 4 credits | ||||
| CHEM 399 Advanced Topics |
2 credits |
||||
| CHEM 407Special Topics in Biochemistry |
2 credits |
||||
| Choose one of the following three courses: | 3 credits | ||||
|
MATH 440 Foundations of Applied Math
|
|||||
|
MATH 454 Partial Differential Equations
|
|||||
|
MATH 462 Nonlinear Systems and Chaos
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 400- level electives | 6 credits | ||||
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 339, MATH 432 or MATH 499 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|||||
Chemistry concentration: (34 credits + 33 credits) |
67 credits | ||||
| PHYS 121 Physics I | 4 credits | ||||
| CHEM 101/CHEM 101L General Chemistry and Lab | 4 credits | ||||
| CHEM 205 Inorganic Chemistry | 3 credits | ||||
| CHEM 230/CHEM 230L Organic Chemistry I and Lab | 5 credits | ||||
| CHEM 310/CHEM 310L Analytical Chemistry and Lab |
5 credits | ||||
| CHEM 355 Physical Chemistry |
3 credits |
||||
| Choose one of the following three courses: | 3 credits | ||||
|
MATH 440 Foundations of Applied Math
|
|||||
|
MATH 454 Partial Differential Equations
|
|||||
|
MATH 462 Nonlinear Systems and Chaos
|
|||||
| MATH 400- level electives |
6 credits | ||||
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 339, MATH 432 or MATH 499 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|||||
Computer Science concentration: (33 credits + 31 credits) |
64 credits | ||||
| Choose one of the following two courses: | 3 credits | ||||
|
CPSC 122 Computer Science II
|
|||||
|
CPSC 222 Intro to Data Science
|
|||||
| Choose one of the following four courses: |
3 credits | ||||
|
CPSC 322 Data Science Algorithms
|
|||||
| CPSC 351 Theory of Computation | |||||
| CPSC 353 Applied Cryptography | |||||
| CPSC 450 Design & Analysis Algorithms | |||||
| CPSC 200-300-400 level electives(1) | 3 credits | ||||
| CPSC 300-400 level electives | 3 credits | ||||
| MATH 351 Combinatorics & Graph Theory | 3 credits | ||||
| Choose three of the following six courses: |
9 credits | ||||
| MATH 328 Operations Research | |||||
| MATH 421 Probability Theory | |||||
| MATH 423 Stochastic Processes | |||||
| MATH 425 Applied Statistical Models | |||||
| MATH 426 Experimental Design | |||||
| MATH 455 Chaos and Discrete Dynamical Systems | |||||
| MATH 300-400 elective | 3 credits | ||||
| MATH 400-level electives | 6 credits | ||||
| (1)CPSC elective options: CPSC 224, 321, 322*, 323*, 324*, 325, 326, 331-334, 351*, 353*, 447, 475. Other options are CPSC 223, 425, 450* (check for pre-requisites). *recommended elective choices |
|||||
|
Math Electives: cannot double-count with a required course. |
|||||
Economics concentration: (34 credits + 30-31 credits) |
64-65 credits | ||||
| ECON 201 Microeconomics | 3 credits | ||||
| ECON 202 Macroeconomics | 3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
|
ECON 301 Intermediate Microeconomics(1)
|
|||||
|
ECON 351 Managerial Economics
|
|||||
| ECON 303 Game Theory and Economic Applications | 3 credits | ||||
| ECON 300-400 level elective(2) | 3-4 credits | ||||
| MATH 421 Probability Theory | 3 credits | ||||
| Choose two of the following five courses: |
6 credits | ||||
|
MATH 423 Stochastic Processes
|
|||||
|
MATH 425 Applied Statistical Models
|
|||||
|
MATH 426 Experimental Design
|
|||||
|
MATH 440 Foundations of Applied Math
|
|||||
|
MATH 454 Partial Differential Equations
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 400-level elective |
3 credits |
||||
| (1)ECON 301 pre-requisite ECON 201 requires a minimum grade of B-. |
|||||
| (2)ECON Elective options: ECON 320, 321*, 322, 324, 325, 330, 333, 334, 352/352L*, 355, 451*, 452*. *recommended elective choices | |||||
|
Math Electives: cannot double-count with a required course. |
|||||
Environmental Science concentration: (34 credits + 34 credits) |
68 credits | ||||
| ENVS 101 Introduction to Environmental Studies | 3 credits | ||||
| ENVS 103/ ENVS 103L Environmental Biology(1) | 4 credits | ||||
| Choose one of the following two courses: |
4 credits | ||||
| CHEM 101/ CHEM 101L General Chemistry | |||||
| BIOL 105/ BIOL105L Info Flow in Biological Systems | |||||
| Choose one of the following two courses: |
4 credits | ||||
| ENVS 110/ ENVS 110L Introduction to Earth Systems | |||||
| ENVS 202/ ENVS 202L Chemistry and the Environment(2) | |||||
| ENVS 320 Economics of Environmental Protection(3) | 3 credits | ||||
| ENVS 384/ ENVS 384L GIS and Ecological Techniques(4) | 4 credits | ||||
| Choose two of the following five courses: |
6 credits | ||||
| MATH 425 Applied Statistical Models | |||||
| MATH 426 Experimental Design | |||||
| MATH 440 Foundations of Applied Math | |||||
| MATH 454 Partial Differential Equations | |||||
| MATH 462 Nonlinear Systems and Chaos | |||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 400- level elective | 3 credits | ||||
Math Electives: cannot double-count with a required course. |
|||||
Physics concentration: (34 credits + 31 credits) |
65 credits | ||||
| PHYS 121/PHYS 121L Physics I and Lab | 5 credits | ||||
| PHYS 122/PHYS 122L Physics II and Lab | 5 credits |
||||
| PHYS 200, 300, 400 level electives(1) | 6 credits | ||||
| Choose two of the following four courses: |
6 credits | ||||
|
MATH 417 Complex Variables
|
|||||
|
MATH 440 Foundations of Applied Math
|
|||||
|
MATH 454 Partial Differential Equations
|
|||||
|
MATH 462 Nonlinear Systems and Chaos
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 400- level electives | 6 credits | ||||
| (1) PHYS elective options: PHYS 224, 321, 322, 323, 324, 424, 451, 452, 453, 454, 455, 456 (PHYS 324, 453, & 454 require PHYS 224, 321, and 322 as pre-requisites; PHYS 424 requires PHYS 324 as pre-requisite) | |||||
|
Math Electives: cannot double-count with a required course. |
|||||
Statistics concentration: (34 credits + 31-32 credits) |
65-66 credits | ||||
| Choose one of the following three sets of courses: |
7-8 credits | ||||
| Biology Set: | |||||
|
BIOL 105/BIOL 105L Info Flow in Biological Systems and Lab
|
|||||
|
BIOL 106 Energy Flow in Biological Systems
|
|||||
| Physics Set: | |||||
|
PHYS 121 Physics I
|
|||||
|
PHYS 122 Physics II
|
|||||
| Chemistry Set: | |||||
|
CHEM 101/CHEM 101L General Chemistry and Lab
|
|||||
|
CHEM 205 Inorganic Chemistry
|
|||||
| Choose one of the following three courses: |
3 credits | ||||
|
MATH 440 Foundations of Applied Math
|
|||||
|
MATH 454 Partial Differential Equations
|
|||||
|
MATH 462 Nonlinear Systems and Chaos
|
|||||
| MATH 421 Probability Theory | 3 credits | ||||
| Choose one of the following two courses |
3 credits | ||||
|
MATH 425 Applied Statistical Models
|
|||||
|
MATH 426 Experimental Design
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 400- level electives | 6 credits | ||||
| Statistics Electives | 6 credits | ||||
|
Select two courses from the Statistics Electives list.
|
|||||
|
One course must be MATH. Cannot double-count with courses used elsewhere.
|
|||||
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 339, MATH 432 or MATH 499 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|||||
Applied Math Double Concentrations: |
|||||
Biology and Statistics double concentration: (34 credits + 43 credits) |
77 credits | ||||
|
Students complete the B.S. Major in Applied Mathematics with a Biology concentration as listed above, with the following difference for MATH electives:
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 421 Probability Theory | 3 credits |
||||
| Choose one of the following two courses: |
6 credits | ||||
|
MATH 425 Applied Statistical Models
|
|||||
|
MATH 426 Experimental Design
|
|||||
| Statistics Electives | 6 credits | ||||
|
Select two courses from the Statistics Electives list.
|
|||||
|
One course must be MATH. Cannot double-count with courses used elsewhere.
|
|||||
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 339, MATH 432 or MATH 499 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|||||
Biochemistry and Statistics double concentration:(34 credits + 42 credits) |
76 credits | ||||
|
Students complete the B.S. Major in Applied Mathematics with a Biochemistry concentration as listed above, with additional statistics courses.
|
|||||
| MATH 300-400 level electives | 3 credits | ||||
| MATH 400- level elective | 3 credits | ||||
| MATH 421 Probability Theory | 3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
|
MATH 425 Applied Statistical Models
|
|||||
|
MATH 426 Experimental Design
|
|||||
| Statistics electives | 6 credits | ||||
|
Select two courses from the Statistics Electives list.
|
|||||
|
One course must be MATH. Cannot double-count with courses used elsewhere.
|
|||||
| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 432 or MATH 496 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
|||||
Chemistry and Statistics double concentration: (34 credits + 42 credits) |
76 credits | ||||
|
Students complete the B.S. Major in Applied Mathematics with a Chemistry concentration as listed above, with additional statistics courses.
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 421 Probability Theory | 3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
|
MATH 425 Applied Statistical Models
|
|||||
|
MATH 426 Experimental Design
|
|||||
| Statistics electives | 6 credits | ||||
|
Select two courses from the Statistics Electives list.
|
|||||
|
One course must be MATH. Cannot double-count with courses used elsewhere.
|
|||||
|
Math Electives: cannot double-count with a required course. |
|||||
Economics and Statistics double concentration: (34 credits + 39-40 credits) |
73-74 credits | ||||
|
Students complete the B.S. Major in Applied Mathematics with an Economics concentration as listed above, with additional statistics courses.
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 400- level elective | 3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
| MATH 440 Foundations of Applied Math | |||||
| MATH 454 Partial Differential Equations | |||||
| Choose one of the following two courses: |
3 credits | ||||
|
MATH 425 Applied Statistical Models
|
|||||
|
MATH 426 Experimental Design
|
|||||
| Statistics electives | 9 credits | ||||
|
Select three courses from the Statistics Electives list.
|
|||||
|
Two courses must be MATH. Cannot double-count with courses used elsewhere.
|
|||||
Math Electives:
|
|||||
Environmental Science and Statistics double concentration:(34 credits + 43 credits) |
77 credits | ||||
|
Students complete the B.S. Major in Applied Mathematics with a concentration in Environmental Science, plus additional statistics courses.
|
|||||
| MATH 300-400 level elective | 3 credits | ||||
| MATH 421 Probability Theory | 3 credits | ||||
| Choose one of the following three courses: |
3 credits | ||||
| MATH 440 Foundations of Applied Math | |||||
| MATH 454 Partial Differential Equations | |||||
| MATH 462 Nonlinear Systems and Chaos | |||||
| Choose one of the following two courses: |
3 credits | ||||
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MATH 425 Applied Statistical Models
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MATH 426 Experimental Design
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| Statistics electives | 9 credits | ||||
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Select three courses from the Statistics Electives list.
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Two courses must be MATH. Cannot double-count with courses used elsewhere.
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| Math Electives: cannot double-count with a required course. Cannot use MATH 335, MATH 339, MATH 432 or MATH 499 as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 (may be taken for credit only once), MATH 390, MATH 490, MATH 497. |
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Physics and Statistics double concentration: (34 credits + 40 credits) |
74 credits | ||||
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Students complete the B.S. Major in Applied Mathematics with a Physics concentration as listed above, with the following difference for MATH electives
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| MATH 300-400 level elective | 3 credits | ||||
| MATH 400- level elective | 3 credits | ||||
| MATH 421 Probability Theory | 3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
|
MATH 425 Applied Statistical Models
|
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|
MATH 426 Experimental Design
|
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| Statistics electives | 6 credits | ||||
|
Select two courses from the Statistics Electives list.
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At least one course must be MATH. Cannot double-count with courses used elsewhere.
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Math Electives: cannot double-count with a required course. |
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| Statistics Electives List | |||||
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MATH 422 Mathematical Statistics
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MATH 423 Stochastic Processes
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ECON 355 Regression Analysis
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ECON 451 Econometrics
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ECON 452 Time Series Analysis
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CPSC 322 Data Science Algorithms
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| CPSC 323 Machine Learning & Intelligent Systems | |||||
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CPSC 324 Big Data Analytics
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PHYS 323 Statistical Physics
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| PSYC 450 Advanced Statistics in Psychology | |||||
| *Or any course with significant probability or statistics content with approval of the Math Department Chair. All of these courses have pre-requisites and may require courses outside of the concentration to be taken. | |||||
Minor in Applied Mathematics: 24 Credits |
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Lower Division |
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| MATH 157 Calculus and Analytic Geometry I |
4 credits | ||||
| MATH 258 Calculus and Analytic Geometry II |
4 credits |
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| MATH 259 Calculus and Analytic Geometry III |
4 credits | ||||
| MATH 260 Ordinary Differential Equations |
3 credits | ||||
Upper Division |
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| Choose one of the following two courses: | 3 credits | ||||
|
MATH 335 Applied Linear Algebra
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MATH 339 Linear Algebra
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| Choose one of the following three courses: | 3 credits | ||||
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MATH 440 Foundations of Applied Math
|
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MATH 454 Partial Differential Equations
|
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|
MATH 462 Nonlinear Systems and Chaos
|
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| MATH 300-400 level elective | |||||
| Applied Math electives: |
3 credits | ||||
|
Math Electives: cannot double-count with a required course. |
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Minor in Mathematics: 24 credits |
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Lower Division |
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| MATH 157 Calculus and Analytic Geometry I | 4 credits | ||||
| MATH 258 Calculus and Analytic Geometry II | 4 credits | ||||
| MATH 259 Calculus and Analytic Geometry III | 4 credits | ||||
Upper Division |
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| MATH 301 Fundamentals of Mathematics | 3 credits | ||||
| Choose one of the following two courses: |
3 credits | ||||
|
MATH 335 Applied Linear Algebra
|
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MATH 339 Linear Algebra
|
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| MATH 300-400 level elective* | 3 credits | ||||
| MATH 400- level elective | 3 credits | ||||
Math Electives: cannot double-count with a required course. |
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Minor in Statistics: 23 credits |
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Lower Division |
|||||
| MATH 157 Calculus and Analytic Geometry I | 4 credits | ||||
| MATH 258 Calculus and Analytic Geometry II | 4 credits | ||||
Upper Division |
|||||
| Choose of the following two courses: |
3 credits | ||||
|
MATH 335 Applied Linear Algebra
|
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MATH 339 Linear Algebra
|
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| Choose one of the following two courses: | 3 credits | ||||
|
MATH 321 Statistics for Experimentalists
|
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MATH 422 Mathematical Statistics
|
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| Choose one of the following two courses: |
3 credits | ||||
|
MATH 425 Applied Statistical Models
|
|||||
|
MATH 426 Experimental Design
|
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| Statistics electives: | 6 credits | ||||
|
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Lower Division
Review of basic algebraic operations and concepts for students who need additional preparation before taking other courses involving mathematics. Topics include operations on algebraic expressions, factoring, algebraic functions, linear and quadratic equations, graphing, exponents, radicals, and linear equations in two unknowns. This course does not fulfill the math requirement in the University Core.
College algebra for those students who need additional preparation before taking MATH 114, MATH 147, or MATH 148. Topics include equations, polynomials, conics, graphing, algebraic, exponential and logarithmic functions. This course does not fulfill the math requirement in the University Core. Fall and Spring.
Equivalent:
MATH 112 - Taken before Summer 2016
An elementary survey of various mathematical areas such as algebra, geometry, counting (permutations, combinations), probability, and other topics selected by the instructor. This course is intended for the liberal arts student not pursuing business or the sciences. Fall and Spring.
Development and application of concepts from algebra and statistics. Topics include polynomials, solving equations, graphing, functions, modeling, counting (permutations and combinations), data representation, probability, and statistics.
Designed for the student majoring in business. Topics selected from: functions and models, systems of equations, optimization, and introductory calculus. The emphasis will be on examples from business, which may include: cost, revenue, profit, supply, demand, market equilibrium, interest, present-value, future-value, and consumer and producer surplus. Fall and Spring.
Prerequisite: MATH 100
An introduction to the basic concepts of descriptive and inferential statistics and their application to the interpretation and analysis of data. Fall and Spring.
Topics include advanced equations and inequalities, functions and graphs including composite and inverse functions, logarithmic and exponential functions, trigonometric functions and their graphs, right angle trigonometry, trigonometric identities, systems of equations, and conics. Fall and Spring.
A one semester introduction to differential and integral calculus designed to convey the significance, use and application of calculus for liberal arts students, particularly those in the behavioral, biological, and social sciences. Fall and Spring.
Prerequisite: MATH 100
An introduction to calculus for engineering, science and mathematics students, with an emphasis on conceptual understanding, problem solving, and modeling. Topics covered include: limits, continuity, derivatives of algebraic, trigonometric, and transcendental functions, applications of the derivative including optimization problems and linear approximations, antiderivatives, introduction to the definite integral, and the Fundamental Theorem of Calculus. Fall and Spring.
Prerequisite: MATH 147, minimum grade: C
Equivalent:
HONS 157 - OK if taken since Fall 2023
Topic to be determined by instructor.
Concurrent:
MATH 157
The First-Year Seminar (FYS) introduces new Gonzaga students to the University, the Core Curriculum, and Gonzaga’s Jesuit mission and heritage. While the seminars will be taught by faculty with expertise in particular disciplines, topics will be addressed in a way that illustrates approaches and methods of different academic disciplines. The seminar format of the course highlights the participatory character of university life, emphasizing that learning is an active, collegial process.
This course does not meet major or minor requirements.
This course contains an introduction to probability and the use of statistics to solve problems in a variety of scientific disciplines. Topics include experimental design, sampling methods, confidence intervals, hypothesis tests, and linear models. The use of statistical software is integral to this course. Fall.
Prerequisite:
MATH 148 Minimum Grade: D
or MATH 157 Minimum Grade: D
A study of propositional logic, set theory, functions, algorithms, divisibility, introductory number theory, elementary proof techniques, counting techniques, recursive definitions, mathematical induction, and graph theory. Fall and Spring.
Prerequisite:
MATH 148 Minimum Grade: D
or MATH 157 Minimum Grade: D
A continuation of MATH 157. Topics covered are: techniques of integration, applications of the integral, improper integrals, sequences and infinite series with an introduction to convergence tests, parametric equations, and polar coordinates.
Prerequisite:
MATH 157 Minimum Grade: C-
Equivalent:
HONS 258 - OK if taken since Spring 2024
A treatment of multivariable calculus and the calculus of vector fields. Topics include: vectors and vector-valued functions, partial derivatives, multiple integration, curl and divergence, line integrals, Green’s theorem, Stokes’ theorem, and the Divergence theorem.
Prerequisite: MATH 258 Minimum Grade: C-
Solution methods for first-order equations, second-order linear equations, and linear systems of differential equations, including analytic and qualitative approaches. Topics include mathematical modeling, Laplace transforms, Taylor series solutions, and an introduction to matrix methods. Additional topics may include numerical methods, analyzing nonlinear systems, and techniques for higher-order linear equations. Fall and Spring.
Prerequisite:
MATH 259 Minimum Grade: D
Readings and reports in selected mathematical topics. Upon sufficient demand.
Prerequisite:
MATH 157 Minimum Grade: D
Upper Division
A development of the standard techniques of mathematical proof through an examination of logic, set theory, as well as one-to-one, onto, and inverse functions. Additional topics may be chosen from the topology of the real line, the cardinality of sets, basic number theory, and basic group theory. Fall and Spring.
Prerequisite:
MATH 259 Minimum Grade: D
Equivalent:
HONS 311 - OK if taken since Fall 2023
An applied statistics course for those with calculus preparation. Descriptive statistics, probability theory, discrete and continuous random variables, and methods of inferential statistics including interval estimation, hypothesis testing, and regression. Fall and Spring.
Prerequisite: MATH 258 Minimum Grade: D
Quantitative methods for application to problems from business, engineering, and the social sciences. Topics include linear and dynamic programming, transportation problems, network analysis, PERT, and game theory. Spring, odd years.
Prerequisite: MATH 258 Minimum Grade: D
An applied study of matrices, vector spaces, and linear transformations, with a focus on computations and modeling. Topics include linear systems, dependence and rank, bases, inner product spaces, orthogonal and orthonormal sets, eigenvalues and eigenvectors, matrix factorizations, and singular values. Additional topics may include numerical techniques and applications to static and dynamical physical systems, Markov chains, graph theory, artificial neural networks, image and signal processing. Computer programming will be an integral component of the class. Spring.
Prerequisite: MATH 157 Minimum Grade: C- or MATH 231 Minimum Grade: C-
Prerequisite:
MATH 157 Minimum Grade: C-
or MATH 231 Minimum Grade: C-
A systematic study of the theory of matrices, vector spaces, and linear transformations. Topics include systems of linear equations, determinants, linear independence, bases, dimension, rank, eigenvalues, and eigenvectors. Additional topics may include inner products, orthonormal bases, projections, and quadratic forms. Applications may include geometry, adjacency matrices, calculus, difference equations, least squares, and Markov chains. Some proof-writing expected. Fall and Spring.
Prerequisite:
MATH 259 Minimum Grade: D
or HONS 217
Axiomatic systems for, and selected topics from, Euclidean geometry, projective geometry, and other non-Euclidean geometries. Special attention will be given to the needs of the individuals preparing to teach at the secondary level. Fall, even years.
Prerequisite:
MATH 259 Minimum Grade: D
An introduction to approximating solutions to problems arising in applied mathematics and science. Topics include solving linear systems, root-finding, interpolations, regression, numerical integration and differentiation, and initial value problems. Computer programming will be an integral component of the class. Fall.
Prerequisite: MATH 258 Minimum Grade: D
An introduction to combinatorics and graph theory with topics taken from counting techniques, generating functions, combinatorial designs and codes, matchings, directed graphs, paths, circuits, connectivity, trees, planarity, and colorings. Fall, odd years.
Prerequisite: MATH 231 Minimum Grade: D or Math 301 Minimum Grade: D
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
This seminar is intended to expose students with a calculus background to a wide variety of interesting topics and applications in mathematics. The goal of this seminar is to help students discover and explore topics in mathematics, not typically covered in a classroom setting. A weekly guest lecturer will present a topic or activity and invite questions and participation from the class. Guest lecturers may be faculty, students who have performed independent research, or guests from the community. Spring
Prerequisite:
MATH 258 Minimum Grade: D
Topic to be determined by faculty.
This proof-based course provides a rigorous treatment of the real number system, the topology of the real line, sequences and series of numbers and functions, continuity of functions, differentiation, and the Riemann integral. Spring and Fall, even years.
Prerequisite: MATH 301 Minimum Grade: D
Continuation of MATH 413 with topics chosen from Lebesgue theory, metric spaces, function spaces, and multivariable calculus. Spring, odd years.
Prerequisite:
MATH 413 Minimum Grade: D
An introduction to complex numbers and functions of one complex variable. Topics include the geometry and algebra of complex numbers, elementary functions, analytic functions, integration on the complex plane, Taylor and Laurent expansions, and the calculus of residues. Other topics selected from conformal mappings, integral transforms and inversion formulas, harmonic functions, and winding numbers, with applications to physical problems. Spring, even years.
Prerequisite: MATH 301 Minimum Grade: D
A mathematical treatment of the laws of probability with emphasis on those properties fundamental to mathematical statistics. General probability spaces, combinatorial analysis, random variables, conditional probability, moment generating functions, Bayes' law, distribution theory, and law of large numbers. Fall.
Prerequisite: MATH 301 Minimum Grade: D or (MATH 259 Minimum Grade: D & MATH 339 Minimum Grade: D) or (MATH 259 Minimum Grade: D & MATH 351 Minimum Grade: D) or (MATH 259 Minimum Grade: D & MATH 335 Minimum Grade: D)
An examination of the mathematical principles underlying the basic statistical inference techniques of estimation, hypothesis testing, regression and correlation, nonparametric statistics, analysis of variance. Spring, even years.
Prerequisite:
MATH 421 Minimum Grade: D
An introduction to random processes and their applications in scientific inquiry, including discrete and continuous time probability models, Markov chains, Poisson processes, random walks, and simulation techniques. Additional topics selected from: queuing theory, branching processes, reliability theory, and Brownian motion. Spring, odd years.
Prerequisite:
MATH 421 Minimum Grade: D
The course covers a wide range of statistical models including simple and multiple linear regression for quantitative and qualitative variables, logistic regression, log-linear models, models for rates (Poisson regression), and non-linear regression models. Inferences and model adequacy checking, model selection, and validation will be covered. The emphasis is on the practical application of these methods using statistical software. Fall, even years.
Prerequisite:
MATH 321 Minimum Grade: D
or MATH 422 Minimum Grade: D
This course covers ANOVA models without and with interactions, randomized block, Latin square, factorial, confounded factorial, balanced incomplete block, other designs. Working with simple linear regression models, random and mixed-effects models, response surface methodology are covered. The emphasis is on how to plan, design, and conduct experiments efficiently and effectively, and analyze the resulting data using statistical software. Fall, odd years.
Prerequisite:
MATH 321 Minimum Grade: D
or MATH 422 Minimum Grade: D
The Core Integration Seminar (CIS) engages the Year Four Question: “Imagining the possible: What is our role in the world?” by offering students a culminating seminar experience in which students integrate the principles of Jesuit education, prior components of the Core, and their disciplinary expertise. Each section of the course will focus on a problem or issue raised by the contemporary world that encourages integration, collaboration, and problem solving. The topic for each section of the course will be proposed and developed by each faculty member in a way that clearly connects to the Jesuit Mission, to multiple disciplinary perspectives, and to our students’ future role in the world.
This course does not meet major or minor requirements.
A detailed examination of topics chosen from groups, rings, integral domains, Euclidean domains, unique factorization, fields, Galois theory, and solvability by radicals. Spring and Fall, odd years.
Pre-requisite: MATH 301
Continuation of MATH 437. Spring, even years.
Prerequisite:
MATH 437 Minimum Grade: D
This course introduces advanced foundational techniques used to solve problems arising in applied mathematics, science and engineering. Topics include dimensional analysis and scaling, mathematical modeling, perturbation methods, and asymptotic expansions. Additional topics may include the calculus of variations, similarity methods, integral transforms, Fourier series, special functions, and the derivation of models from conservation laws and constitutive equations; other topics may be selected at the discretion of the instructor. Fall, odd years.
Prerequisite:
MATH 260 Minimum Grade: C-
Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement. Upon sufficient demand.
Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement.
Pre-requisite: ECON 201 and ECON 202 and ECON 355 and (BUSN 230 or MATH 131 or MATH 321 or MATH 425)
Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement. Upon sufficient demand.
Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement. Upon sufficient demand.
Solutions of boundary value problems with applications to heat flow, wave motion, and potential theory. Topics include derivation of the heat, wave, and Laplace's equations, orthogonal sets of functions, Fourier series, Sturm-Liouville theory, separation of variables, integral transforms, the method of characteristics, and extensions to higher dimensions and non-Cartesian coordinate systems. Additional topics may include numerical methods, inverse methods, and nonlinear equations. Spring.
Prerequisite:
MATH 260 Minimum Grade: C-
Introduction to the study of one-dimensional discrete-time nonlinear systems and their potential for chaotic behavior. The course will focus on investigations through computer experiments - numerical and graphical - and the mathematical analysis of the observed behavior. Students are expected to write code in at least one high-level language. Topics include orbit analysis, fixed and periodic points, graphical analysis, bifurcations, symbolic dynamics, chaos, and fractals. Additional topics selected from dynamics in the complex plane, higher dimensional maps, numerical computation of Lyapunov exponents, fractal dimension, Sarkovskii's theorem, and chaos control. Spring, even years.
Prerequisites: (MATH 231 Minimum Grade: C and CPSC 122) or (CPSC 121 Minimum Grade: C and MATH 350)
Prerequisite:
(CPSC 121 Minimum Grade: C
and MATH 350 Minimum Grade: D)
or (MATH 231 Minimum Grade: C
and CPSC 122 Minimum Grade: D)
Equivalent:
CPSC 455 - OK if taken since Spring 2022
Elementary number theory topics including modular arithmetic, Diophantine equations, multiplicative functions, factorization techniques, primality testing, and development of the public key code. Additional topics may be included. Fall, even years.
Prerequisite: MATH 301 Minimum Grade: D
Topics selected from the following: Metric spaces, manifolds, general topological spaces. Sequences, continuous functions, homeomorphisms. The separation axioms, connectedness, compactness. The theory of surfaces. Knot theory. Topics from combinatorial topology, algebraic topology, differential topology. Other topics to be determined by the instructor. Spring, odd years.
Prerequisite: MATH 301 Minimum Grade: D
Equivalent:
MATH 450 - OK if taken between Fall 2012 and Fall 2012
A study of nonlinear ordinary differential equations and systems of such equations, with a focus on approaching problems geometrically. Topics include phase space, equilibrium solutions, bifurcations, stability analysis, limit cycles, chaos, fractals, and strange attractors; other topics may be selected at the discretion of the instructor. Applications to problems in biology, chemistry, physics, engineering and other fields will be explored. Fall, even years.
Prerequisite:
MATH 260 Minimum Grade: C-
Selected topics in mathematics.
This course explores the application of mathematics to solving actuarial science problems. Course material is intended to help students prepare for the probability and financial math actuarial exams. Spring.
Prerequisite:
MATH 421 Minimum Grade: C-
and ECON 352L Minimum Grade: C-
A comprehensive survey of applied mathematics and its connections with various technical disciplines. Students will gain experience with both written and oral communication while reviewing a breadth of mathematical topics and exploring interdisciplinary applications. Students will be required to take the Educational Testing Service’s Major Field Test in Mathematics. Required of all Applied Mathematics majors in their final year. Fall.
Special program for Mathematics majors.
This course provides the motivated student with the opportunity to conduct an independent research project under the direction of a Mathematics Department faculty member. Rigorous research and study of advanced material with a significant technical writing component. Contingent on the student finding a faculty member in the Department of Mathematics who is willing to serve as a mentor. Fall and Spring.
Prerequisite: MATH 301 Minimum Grade: D
Continuation of MATH 498A, culminating in a written thesis. Students are expected to present their work at a conference. Fall and Spring.
Prerequisite:
MATH 498A Minimum Grade: B
A comprehensive survey of mathematics. Students will gain experience with both written and oral communication of mathematics while reviewing a breadth of mathematical topics. Students will be required to take the Educational Testing Service’s Major Field Test in Mathematics. Required of all Mathematics majors in their final year. Fall.