Mathematics
Department Website: Mathematics
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 Comprehensive for Applied Mathematics or MATH 499 Comprehensive for Mathematics) in the fall semester of their final year. It is recommended that all Mathematics majors take PHYS 121 Physics I, CHEM 101 General Chemistry I, or BIOL 105 Information Flow in Biological Systems 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.
Mathematics (BS) Major
Program Requirements
| Code | Title | Hours |
|---|---|---|
| Lower Division | ||
| MATH 157 | Calculus and Analytic Geometry I | 4 |
| MATH 258 | Calculus and Analytic Geometry II | 4 |
| MATH 259 | Calculus and Analytic Geometry III | 4 |
| Upper Division | ||
| MATH 301 | Fundamentals of Mathematics | 3 |
| MATH 339 | Linear Algebra | 3 |
| MATH 413 | Real Analysis I | 3 |
| MATH 437 | Abstract Algebra I | 3 |
| Select one of the following: | 3 | |
| Real Analysis II | ||
| Complex Variables | ||
| Abstract Algebra II | ||
| Number Theory and Cryptography | ||
| Topology | ||
| MATH 300-400-level electives 1 | 6 | |
| MATH 400-level electives | 6 | |
| MATH 499 | Comprehensive for Mathematics | 1 |
| Total Hours | 40 | |
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One of these courses may be replaced by MATH 260 Ordinary Differential Equation.
Math Electives: cannot double-count with a required course. Cannot use MATH 335 Applied Linear Algebra, MATH 432 CIS: or MATH 496 Comprehensive for Applied Mathematics as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Optional Concentration in Statistics:
Statistics Concentration
Students complete the B.S. Major in Mathematics as listed above, with the following differences for Math Electives:
- Three credits instead of six for MATH 300-400 level electives,
- Three credits instead of six for MATH 400-level electives
- Plus additional statistics courses.
| Code | Title | Hours |
|---|---|---|
| MATH 321 | Statistics for Experimentalist | 3 |
| or MATH 422 | Mathematical Statistics | |
| MATH 421 | Probability Theory | 3 |
| MATH 425 | Applied Statistical Models | 3 |
| or MATH 426 | Experimental Design | |
| MATH 300-400-level elective 1 | 3 | |
| MATH 400-level elective | 3 | |
| Select two of the following Statistics Electives. One course must be MATH. Cannot double-count with courses used elsewhere. | 6 | |
| Mathematical Statistics | ||
| Stochastic Processes | ||
| Experimental Design | ||
| Regression Analysis | ||
| Econometrics | ||
| Time Series Analysis | ||
| Data Science Algorithms | ||
| Machine Learning and Intelligent Systems | ||
| Statistical Mechanics | ||
| 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. | ||
| Total Hours | 21 | |
- 1
One of these courses may be replaced by MATH 260 Ordinary Differential Equation
Math Electives: cannot double-count with a required course. Cannot use MATH 335 Applied Linear Algebra, MATH 432 CIS: or MATH 496 Comprehensive for Applied Mathematics as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Mathematics (BA) Major
Program Requirements
| Code | Title | Hours |
|---|---|---|
| Lower Division | ||
| MATH 157 | Calculus and Analytic Geometry I | 4 |
| MATH 258 | Calculus and Analytic Geometry II | 4 |
| MATH 259 | Calculus and Analytic Geometry III | 4 |
| Upper Division | ||
| MATH 301 | Fundamentals of Mathematics | 3 |
| MATH 339 | Linear Algebra | 3 |
| MATH 413 | Real Analysis I | 3 |
| or MATH 437 | Abstract Algebra I | |
| MATH 300-400-level electives 1 | 6 | |
| MATH 400-level elective | 3 | |
| MATH 499 | Comprehensive for Mathematics | 1 |
| Total Hours | 31 | |
- 1
One of these courses may be replaced by MATH 260 Ordinary Differential Equation.
Math Electives: cannot double-count with a required course. Cannot use MATH 335 Applied Linear Algebra, MATH 432 CIS: or MATH 496 Comprehensive for Applied Mathematics as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Optional Concentration in Statistics:
Statistics Concentration
Students complete the B.A. Major in Mathematics as listed above, plus additional credits of statistics courses. Math electives are changed as follows:
- Three credits instead of six for MATH 300-400 level electives
- MATH 421 Probability Theory instead of a MATH 400-level elective
- Plus additional statistics courses.
| Code | Title | Hours |
|---|---|---|
| MATH 300-400 level elective | 3 | |
| MATH 421 | Probability Theory | 3 |
| MATH 321 | Statistics for Experimentalist | 3 |
| or MATH 422 | Mathematical Statistics | |
| MATH 425 | Applied Statistical Models | 3 |
| or MATH 426 | Experimental Design | |
| Select two of the following Statistics Electives. One course must be MATH. Cannot double-count with courses used elsewhere. | 6 | |
| Mathematical Statistics | ||
| Stochastic Processes | ||
| Experimental Design | ||
| Regression Analysis | ||
| Econometrics | ||
| Time Series Analysis | ||
| Data Science Algorithms | ||
| Machine Learning and Intelligent Systems | ||
| Statistical Mechanics | ||
| 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. | ||
| Total Hours | 18 | |
- 1
One of these courses may be replaced by MATH 260 Ordinary Differential Equation
Math Electives: cannot double-count with a required course. Cannot use MATH 335 Applied Linear Algebra, MATH 432 CIS: or MATH 496 Comprehensive for Applied Mathematics as MATH electives. Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Applied Mathematics (BS) Major
Program Requirements
| Code | Title | Hours |
|---|---|---|
| Lower Division | ||
| MATH 157 | Calculus and Analytic Geometry I | 4 |
| MATH 258 | Calculus and Analytic Geometry II | 4 |
| MATH 259 | Calculus and Analytic Geometry III | 4 |
| MATH 260 | Ordinary Differential Equation 1 | 3 |
| CPSC 121 | Computer Science I | 3 |
| Upper Division | ||
| MATH 301 | Fundamentals of Mathematics | 3 |
| MATH 335 | Applied Linear Algebra | 3 |
| or MATH 339 | Linear Algebra | |
| MATH 350 | Numerical Methods 2 | 3 |
| MATH 413 | Real Analysis I 3 | 3 |
| Select one of the following: | 3 | |
| Statistics for Experimentalist 4 | ||
| Mathematical Statistics 5 | ||
| MATH 496 | Comprehensive for Applied Mathematics | 1 |
| Select an Applied Math concentration option 6 | 23-43 | |
| Total Hours | 57-77 | |
- 1
Computer Science concentration only: MATH 260 Ordinary Differential Equation 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 Numerical Methods.
- 3
Computer Science concentration students may choose MATH 437 Abstract Algebra I, or MATH 457 Number Theory and Cryptography instead of MATH 413 Real Analysis I.
- 4
Actuarial Science concentration students must take MATH 422 Mathematical Statistics (not MATH 321 Statistics for Experimentalist).
- 5
All non-double concentrations except Actuarial Science: If MATH 422 Mathematical Statistics is chosen, then one MATH 400-level elective may be replaced by a MATH 300-level elective.
- 6
Due to the interdisciplinary nature of the following options, students should make note of prerequisites and minimum grade requirements that may not be listed as degree.
The Applied Mathematics (BS) Major allows you to choose a single or double concentrations (outlined below) in addition to the major requirements.
Single Concentration options: Actuarial Science, Biology, Biochemistry, Chemistry, Computer Science, Economics, Environmental Science, Physics, Statistics
Double Concentration options: Biology and Statistics, Biochemistry and Statistics, Chemistry and Statistics, Economics and Statistics, Environmental Science and Statistics, Physics and Statistics.
No Concentration
34 credits + 23-24 credits
57-58 credits
| Code | Title | Hours |
|---|---|---|
| Select two of the following: | 8 | |
| Information Flow in Biological Systems and Information Flow in Biological Systems Lab | ||
| General Chemistry I and General Chemistry I Lab | ||
| Physics I | ||
| Select one of the following: | 3-4 | |
| Energy Flow in Biological Systems (Select one of the following:) | ||
| Inorganic Chemistry | ||
| Organic Chemistry I and Organic Chemistry Lab I | ||
| Physics II | ||
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level electives | 6 | |
| Total Hours | 23-24 | |
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Optional Single Concentration:
Actuarial Science Concentration
34 credits + 35 credits
69 credits
| Code | Title | Hours |
|---|---|---|
| ACCT 263 | Accounting Analysis | 3 |
| ECON 201 | Microeconomics | 3 |
| ECON 202 | Macroeconomics | 3 |
| ECON 301 | Intermediate Microeconomics | 3 |
| ECON 352 | Money and Banking | 3 |
| ECON 352L | Money and Banking Math Lab | 1 |
| ECON 355 | Regression Analysis | 3 |
| ECON 451 | Econometrics | 3 |
| MATH 421 | Probability Theory | 3 |
| MATH 494 | Topics in Actuarial Science | 1 |
| MATH 300-400 electives | 6 | |
| Select one of the following: | 3 | |
MATH 400-level elective | ||
| Time Series Analysis | ||
| Total Hours | 35 | |
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Biology Concentration
34 credits + 34 credits
68 credits
| Code | Title | Hours |
|---|---|---|
| CHEM 101 & 101L | General Chemistry I and General Chemistry I Lab | 4 |
| BIOL 105 & 105L | Information Flow in Biological Systems and Information Flow in Biological Systems Lab | 4 |
| BIOL 106 | Energy Flow in Biological Systems | 3 |
| Select two of the following: | 8 | |
| Physiology and Biodiversity and Physiology and Biodiversity Lab | ||
| Ecology and Ecology Lab | ||
| Genetics and Genetics Lab | ||
| BIOL 300-400 level electives | 6 | |
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 400-level electives | 6 | |
| Total Hours | 34 | |
Biology elective options:
| Code | Title | Hours |
|---|---|---|
| BIOL 303 | Population Ecology | 3 |
| BIOL 313 | Animal Behavior | 3 |
| BIOL 323 | Conservation Biology | 3 |
| BIOL 331 | Parasitology | 3 |
| BIOL 333 | Community Ecology | 3 |
| BIOL 335 | Advanced Genetics: | 3 |
| BIOL 340 | Field Botany | 3 |
| BIOL 341 | Human Physiology | 3 |
| BIOL 343 | Plant Community Ecology | 3 |
| BIOL 344 | Introduction to GIS in Biology | 3 |
| BIOL 357 | Principles of Wildlife Management | 3 |
| BIOL 360 | Plant Biology | 3 |
| BIOL 367 | Entomology | 3 |
| BIOL 371 | Vertebrate Biology and Anatomy | 3 |
| BIOL 399 | Advanced Topic: | 2 |
| BIOL 403 | Marine Biology | 3 |
| BIOL 420 | Physiological Ecology | 3 |
| BIOL 441 | Advanced Physiology | 3 |
Other courses may be considered on a case-by-case basis). BIOL 334 Advanced Evolution, BIOL 337 Developmental Biology, and BIOL 451 Comparative Endocrinology are allowed but require BIOL 205 Physiology and Biodiversity, BIOL 206 Ecology, and BIOL 207 Genetics as prerequisites. Up to 2 credits may come from labs associated with any of these courses.
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Biochemistry Concentration
34 credits + 32 credits
67credits
| Code | Title | Hours |
|---|---|---|
| CHEM 101 & 101L | General Chemistry I and General Chemistry I Lab | 4 |
| CHEM 230 & 230L | Organic Chemistry I and Organic Chemistry Lab I | 4 |
| CHEM 231 & 231L | Organic Chemistry II and Organic Chemistry Lab II | 4 |
| CHEM 245 & 245L | Biochemistry and Biochemistry Lab | 4 |
| CHEM 399 | Advanced Topics: | 2 |
| CHEM 407 | Special Topics in Biochemistry | 2 |
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level electives | 6 | |
| Total Hours | 32 | |
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Chemistry Concentration
34 credits + 33 credits
67 credits
| Code | Title | Hours |
|---|---|---|
| PHYS 121 | Physics I | 4 |
| CHEM 101 & 101L | General Chemistry I and General Chemistry I Lab | 4 |
| CHEM 205 | Inorganic Chemistry | 3 |
| CHEM 230 & 230L | Organic Chemistry I and Organic Chemistry Lab I | 4 |
| CHEM 310 & 310L | Analytical Chemistry and Analytical Chemistry Lab | 5 |
| CHEM 355 | Physical Chemistry | 3 |
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 400-level electives | 6 | |
| Total Hours | 32 | |
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Computer Science Concentration
31 credits + 33 credits
64 credits
| Code | Title | Hours |
|---|---|---|
| CPSC 122 | Computer Science II | 3 |
| or CPSC 222 | Introduction to Data Science | |
| Select one of the following: | 3 | |
| Data Science Algorithms | ||
| Theory of Computation | ||
| Applied Cryptography | ||
| Design and Analysis of Computer Algorithms | ||
| CPSC 200-300-400 level electives | 3 | |
| CPSC 300-400 level electives | 3 | |
| MATH 351 | Combinatorics and Graph Theory | 3 |
| Select three of the following: | 9 | |
| Operations Research | ||
| Probability Theory | ||
| Stochastic Processes | ||
| Applied Statistical Models | ||
| Experimental Design | ||
| Chaos and Discrete Dynamical Systems | ||
| MATH 300-400 elective | 3 | |
| MATH 400-level electives | 6 | |
| Total Hours | 33 | |
CPSC elective options:
| Code | Title | Hours |
|---|---|---|
| CPSC 224 | Software Development | 3 |
| CPSC 321 | Database Management Systems | 3 |
| CPSC 322 | Data Science Algorithms 1 | 3 |
| CPSC 323 | Machine Learning and Intelligent Systems 1 | 3 |
| CPSC 325 | Data Science Project Lab | 3 |
| CPSC 326 | Organization of Program Languages | 3 |
| CPSC 331 | UI/UX Design | 3 |
| CPSC 328 | Computer Networks | 3 |
| CPSC 332 | Web Development | 3 |
| CPSC 333 | Mobile App Development | 3 |
| CPSC 334 | Linux and DevOps | 3 |
| CPSC 351 | Theory of Computation 1 | 3 |
| CPSC 353 | Applied Cryptography 1 | 3 |
| CPSC 475 | Speech and Natural Language Processing | 3 |
Other options are CPSC 223 Algorithm and Abstract Data Structures, CPSC 425 Computer Graphics, CPSC 450 Design and Analysis of Computer Algorithms1 (check for prerequisites).
- 1
Recommended elective choices
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Economics Concentration
(34 credits + 30-31 credits)
64-65 credits
| Code | Title | Hours |
|---|---|---|
| ECON 201 | Microeconomics | 3 |
| ECON 202 | Macroeconomics | 3 |
| ECON 301 | Intermediate Microeconomics 1 | 3 |
| or ECON 351 | Managerial Economics | |
| ECON 303 | Game Theory and Economic Applications | 3 |
| ECON 300-400 level elective | 3-4 | |
| MATH 421 | Probability Theory | 3 |
| Select two of the following: | 6 | |
| Stochastic Processes | ||
| Applied Statistical Models | ||
| Experimental Design | ||
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level elective | 3 | |
| Total Hours | 30-31 | |
- 1
ECON 301 Intermediate Microeconomics prerequisite ECON 201 Microeconomics requires a minimum grade of B-.
ECON Elective options:
| Code | Title | Hours |
|---|---|---|
| ECON 320 | Economics of Sports | 3 |
| ECON 321 | International Economics 1 | 3 |
| ECON 322 | Work, Wages, and Inequality | 3 |
| ECON 324 | Economics of Environmental Protection | 3 |
| ECON 325 | Public Finance | 3 |
| ECON 330 | Antitrust Policy and Regulation | 3 |
| ECON 333 | Health Economics | 3 |
| ECON 334 | Behavioral Economics | 3 |
| ECON 352 & 352L | Money and Banking and Money and Banking Math Lab 1 | 4 |
| ECON 355 | Regression Analysis | 3 |
| ECON 451 | Econometrics 1 | 3 |
| ECON 452 | Time Series Analysis 1 | 3 |
- 1
Recommended elective choices
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Environmental Science Concentration
34 credits + 34 credits
68 credits
| Code | Title | Hours |
|---|---|---|
| ENVS 101 | Introduction to Environmental Studies | 3 |
| ENVS 103 & 103L | Environmental Biology and Environmental Biology Lab 1 | 4 |
| Select one of the following: | 4 | |
| Information Flow in Biological Systems and Information Flow in Biological Systems Lab | ||
| General Chemistry I and General Chemistry I Lab | ||
| Select one of the following: | 4 | |
| Earth Science and Earth Science Lab | ||
| Applied Environmental Chemstry and Applied Environmental Chemistry Lab 2 | ||
| ENVS 320 | Econ of Environmental Protectn 3 | 3 |
| ENVS 384 | Introduction to GIS in Biology 4 | 3 |
| Select two of the following: | 6 | |
| Applied Statistical Models | ||
| Experimental Design | ||
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level elective | 3 | |
| Total Hours | 33 | |
- 1
Alternative: BIOL 206 Ecology/BIOL 206L Ecology Lab (cross-listed, prerequisite BIOL 105 Information Flow in Biological Systems/BIOL 106 Energy Flow in Biological Systems) with a C- or better.
- 2
Prerequisite CHEM 101 General Chemistry I/CHEM 101L General Chemistry I Lab.
- 3
Alternative: ECON 324 Economics of Environmental Protection (prerequisite ECON 200 Economic Analysis or ECON 201 Microeconomics).
- 4
Alternative: BIOL 344 Introduction to GIS in Biology (cross-listed, prerequisite BIOL 106 Energy Flow in Biological Systems/BIOL 206 Ecology).
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Physics Concentration
34 credits + 31 credits
65 credits
| Code | Title | Hours |
|---|---|---|
| PHYS 121 & 121L | Physics I and Physics I Lab | 5 |
| PHYS 122 & 122L | Physics II and Physics II Lab | 5 |
| PHYS 200, 300, 400 level electives | 6 | |
| Select two of the following: | 6 | |
| Complex Variables | ||
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level electives | 6 | |
| Total Hours | 31 | |
PHYS elective options:
| Code | Title | Hours |
|---|---|---|
| PHYS 224 | Modern Physics | 3 |
| PHYS 321 | Classical Mechanics | 3 |
| PHYS 322 | Electricity and Magnetism | 3 |
| PHYS 323 | Statistical Mechanics | 3 |
| PHYS 324 | Quantum Mechanics 1 | 3 |
| PHYS 424 | Advanced Quantum Mechanics | 3 |
| PHYS 451 | Fields, Oscs, and Relativity | 3 |
| PHYS 452 | Optics | 3 |
| PHYS 454 | Nuclear and Particle Physics 1 | 3 |
| PHYS 455 | Cosmology and Astrophysics | 3 |
| PHYS 456 | Biophysical Systems and Modeling | 3 |
- 1
Require PHYS 224 Modern Physics, PHYS 321 Classical Mechanics, and PHYS 322 Electricity and Magnetism as prerequisites; PHYS 424 Advanced Quantum Mechanics requires PHYS 324 Quantum Mechanics as prerequisite
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Statistics Concentration
34 credits + 31-32 credits
65-66 credits
| Code | Title | Hours |
|---|---|---|
| Select one of the following three sets of courses: | 7-8 | |
| Biology Set: | ||
| Information Flow in Biological Systems and Information Flow in Biological Systems Lab | ||
| Energy Flow in Biological Systems | ||
| Physics Set: | ||
| Physics I | ||
| Physics II | ||
| Chemistry Set: | ||
| General Chemistry I and General Chemistry I Lab | ||
| Inorganic Chemistry | ||
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 421 | Probability Theory | 3 |
| MATH 425 | Applied Statistical Models | 3 |
| or MATH 426 | Experimental Design | |
| MATH 300-400 level elective | 3 | |
| MATH 400-level electives | 6 | |
| Select two courses from the Statistics Electives List 1 | 6 | |
| Total Hours | 31-32 | |
- 1
One course must be MATH. Cannot double-count with courses used elsewhere.
Statistics Electives List
| Code | Title | Hours |
|---|---|---|
| MATH 422 | Mathematical Statistics | 3 |
| MATH 423 | Stochastic Processes | 3 |
| MATH 426 | Experimental Design | 3 |
| ECON 355 | Regression Analysis | 3 |
| ECON 451 | Econometrics | 3 |
| ECON 452 | Time Series Analysis | 3 |
| CPSC 322 | Data Science Algorithms | 3 |
| CPSC 323 | Machine Learning and Intelligent Systems | 3 |
| PHYS 323 | Statistical Mechanics | 3 |
| PSYC 450 | Advanced Statistics in Psychology | 3 |
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.
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Optional Double Concentrations:
Biology and Statistics Concentration
34 credits + 41credits
75 credits
| Code | Title | Hours |
|---|---|---|
| CHEM 101 & 101L | General Chemistry I and General Chemistry I Lab | 4 |
| BIOL 105 & 105L | Information Flow in Biological Systems and Information Flow in Biological Systems Lab | 4 |
| BIOL 106 | Energy Flow in Biological Systems | 3 |
| Select two of the following: | 8 | |
| Physiology and Biodiversity and Physiology and Biodiversity Lab | ||
| Ecology and Ecology Lab | ||
| Genetics and Genetics Lab | ||
| BIOL 300-400 level electives | 6 | |
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 421 | Probability Theory | 3 |
| Select one of the following: | 3 | |
| Applied Statistical Models | ||
| Experimental Design | ||
| MATH 400-level electives | 3 | |
| Statistics Electives 1 | 6 | |
| Total Hours | 43 | |
- 1
One course must be MATH. Cannot double-count with courses used elsewhere.
Biology elective options:
| Code | Title | Hours |
|---|---|---|
| BIOL 303 | Population Ecology | 3 |
| BIOL 313 | Animal Behavior | 3 |
| BIOL 323 | Conservation Biology | 3 |
| BIOL 331 | Parasitology | 3 |
| BIOL 333 | Community Ecology | 3 |
| BIOL 335 | Advanced Genetics: | 3 |
| BIOL 340 | Field Botany | 3 |
| BIOL 341 | Human Physiology | 3 |
| BIOL 343 | Plant Community Ecology | 3 |
| BIOL 344 | Introduction to GIS in Biology | 3 |
| BIOL 357 | Principles of Wildlife Management | 3 |
| BIOL 360 | Plant Biology | 3 |
| BIOL 367 | Entomology | 3 |
| BIOL 371 | Vertebrate Biology and Anatomy | 3 |
| BIOL 399 | Advanced Topic: | 2 |
| BIOL 403 | Marine Biology | 3 |
| BIOL 420 | Physiological Ecology | 3 |
| BIOL 441 | Advanced Physiology | 3 |
Other courses may be considered on a case-by-case basis). BIOL 334 Advanced Evolution, BIOL 337 Developmental Biology, and BIOL 451 Comparative Endocrinology are allowed but require BIOL 205 Physiology and Biodiversity, BIOL 206 Ecology, and BIOL 207 Genetics as prerequisites. Up to 2 credits may come from labs associated with any of these courses.
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Biochemistry and Statistics Concentration
34 credits + 41 credits
75 credits
| Code | Title | Hours |
|---|---|---|
| CHEM 101 & 101L | General Chemistry I and General Chemistry I Lab | 4 |
| CHEM 230 & 230L | Organic Chemistry I and Organic Chemistry Lab I | 4 |
| CHEM 231 & 231L | Organic Chemistry II and Organic Chemistry Lab II | 4 |
| CHEM 245 & 245L | Biochemistry and Biochemistry Lab | 4 |
| CHEM 399 | Advanced Topics: | 2 |
| CHEM 407 | Special Topics in Biochemistry | 2 |
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 421 | Probability Theory | 3 |
| Select one of the following: | 3 | |
| Applied Statistical Models | ||
| Experimental Design | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level electives | 3 | |
| Statistics Electives 1 | 6 | |
| Total Hours | 41 | |
- 1
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 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Chemistry and Statistics Concentration
34 credits + 41 credits
75 credits
| Code | Title | Hours |
|---|---|---|
| PHYS 121 | Physics I | 4 |
| CHEM 101 & 101L | General Chemistry I and General Chemistry I Lab | 4 |
| CHEM 205 | Inorganic Chemistry | 3 |
| CHEM 230 & 230L | Organic Chemistry I and Organic Chemistry Lab I | 4 |
| CHEM 310 & 310L | Analytical Chemistry and Analytical Chemistry Lab | 5 |
| CHEM 355 | Physical Chemistry | 3 |
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 421 | Probability Theory | 3 |
| Select one of the following: | 3 | |
| Applied Statistical Models | ||
| Experimental Design | ||
| MATH 300-400-level electives | 3 | |
| Statistics Electives 1 | 6 | |
| Total Hours | 41 | |
- 1
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 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Economics and Statistics Concentration
(34 credits + 39-40 credits)
73-74 credits
| Code | Title | Hours |
|---|---|---|
| ECON 201 | Microeconomics | 3 |
| ECON 202 | Macroeconomics | 3 |
| ECON 301 | Intermediate Microeconomics 1 | 3 |
| or ECON 351 | Managerial Economics | |
| ECON 303 | Game Theory and Economic Applications | 3 |
| ECON 300-400 level elective | 3-4 | |
| MATH 421 | Probability Theory | 3 |
| Select one of the following: | 3 | |
| Applied Statistical Models | ||
| Experimental Design | ||
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level elective | 3 | |
| Statistics Electives 2 | 9 | |
| Total Hours | 39-40 | |
- 1
ECON 301 Intermediate Microeconomics prerequisite ECON 201 Microeconomics requires a minimum grade of B-.
- 2
Two courses must be MATH. Cannot double-count with courses used elsewhere.
ECON Elective options:
| Code | Title | Hours |
|---|---|---|
| ECON 320 | Economics of Sports | 3 |
| ECON 321 | International Economics 1 | 3 |
| ECON 322 | Work, Wages, and Inequality | 3 |
| ECON 324 | Economics of Environmental Protection | 3 |
| ECON 325 | Public Finance | 3 |
| ECON 330 | Antitrust Policy and Regulation | 3 |
| ECON 333 | Health Economics | 3 |
| ECON 334 | Behavioral Economics | 3 |
| ECON 352 & 352L | Money and Banking and Money and Banking Math Lab 1 | 4 |
| ECON 355 | Regression Analysis | 3 |
| ECON 451 | Econometrics 1 | 3 |
| ECON 452 | Time Series Analysis 1 | 3 |
- 1
Recommended elective choices
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Environmental Science and Statistics Concentration
34 credits + 43 credits
77 credits
| Code | Title | Hours |
|---|---|---|
| ENVS 101 | Introduction to Environmental Studies | 3 |
| ENVS 103 & 103L | Environmental Biology and Environmental Biology Lab 1 | 4 |
| Select one of the following: | 4 | |
| Information Flow in Biological Systems and Information Flow in Biological Systems Lab | ||
| General Chemistry I and General Chemistry I Lab | ||
| Select one of the following: | 4 | |
| Earth Science and Earth Science Lab | ||
| Applied Environmental Chemstry and Applied Environmental Chemistry Lab 2 | ||
| ENVS 320 | Econ of Environmental Protectn 3 | 3 |
| ENVS 384 | Introduction to GIS in Biology 4 | 3 |
| MATH 421 | Probability Theory | 3 |
| Select one of the following: | 3 | |
| Applied Statistical Models | ||
| Experimental Design | ||
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| MATH 300-400 level elective | 3 | |
| Statistics Electives 5 | 9 | |
| Total Hours | 42 | |
- 1
Alternative: BIOL 206 Ecology/BIOL 206L Ecology Lab (cross-listed, prerequisite BIOL 105 Information Flow in Biological Systems/BIOL 106 Energy Flow in Biological Systems) with a C- or better.
- 2
Prerequisite CHEM 101 General Chemistry I/CHEM 101L General Chemistry I Lab.
- 3
Alternative: ECON 324 Economics of Environmental Protection (prerequisite ECON 200 Economic Analysis or ECON 201 Microeconomics).
- 4
Alternative: BIOL 344 Introduction to GIS in Biology (cross-listed, prerequisite BIOL 106 Energy Flow in Biological Systems/BIOL 206 Ecology).
- 5
Two courses must be MATH. Cannot double-count with courses used elsewhere.
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Physics and Statistics Concentration
34 credits + 40 credits
74 credits
| Code | Title | Hours |
|---|---|---|
| PHYS 121 & 121L | Physics I and Physics I Lab | 5 |
| PHYS 122 & 122L | Physics II and Physics II Lab | 5 |
| PHYS 200, 300, 400 level electives | 6 | |
| Select two of the following: | 6 | |
| Complex Variables | ||
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
| Select one of the following: | 3 | |
| Applied Statistical Models | ||
| Experimental Design | ||
| MATH 300-400 level elective | 3 | |
| MATH 400-level electives | 3 | |
| Statistics Electives 1 | 6 | |
| Total Hours | 37 | |
- 1
At least one course must be MATH. Cannot double-count with courses used elsewhere.
PHYS elective options:
| Code | Title | Hours |
|---|---|---|
| PHYS 224 | Modern Physics | 3 |
| PHYS 321 | Classical Mechanics | 3 |
| PHYS 322 | Electricity and Magnetism | 3 |
| PHYS 323 | Statistical Mechanics | 3 |
| PHYS 324 | Quantum Mechanics 1 | 3 |
| PHYS 424 | Advanced Quantum Mechanics | 3 |
| PHYS 451 | Fields, Oscs, and Relativity | 3 |
| PHYS 452 | Optics | 3 |
| PHYS 454 | Nuclear and Particle Physics 2 | 3 |
| PHYS 455 | Cosmology and Astrophysics | 3 |
| PHYS 456 | Biophysical Systems and Modeling | 3 |
- 2
Require PHYS 224 Modern Physics, PHYS 321 Classical Mechanics, and PHYS 322 Electricity and Magnetism as prerequisites; PHYS 424 Advanced Quantum Mechanics requires PHYS 324 Quantum Mechanics as prerequisite
Math Electives:
- Cannot double-count with a required course.
- Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS: or MATH 499 Comprehensive for Mathematics as MATH electives.
- Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Statistics Electives list
| Code | Title | Hours |
|---|---|---|
| Data Science Algorithms | ||
| Machine Learning and Intelligent Systems | ||
| Regression Analysis | ||
| Econometrics | ||
| Time Series Analysis | ||
| Probability Theory | ||
| Mathematical Statistics | ||
| Stochastic Processes | ||
| Experimental Design | ||
| Statistical Mechanics | ||
| 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 prerequisites and may require courses outside of the concentration to be taken. | ||
Applied Mathematics Minor
Program Requirements
| Code | Title | Hours |
|---|---|---|
| Lower Division | ||
| MATH 157 | Calculus and Analytic Geometry I | 4 |
| MATH 258 | Calculus and Analytic Geometry II | 4 |
| MATH 259 | Calculus and Analytic Geometry III | 4 |
| MATH 260 | Ordinary Differential Equation | 3 |
| Upper Division | ||
| MATH 335 | Applied Linear Algebra | 3 |
| or MATH 339 | Linear Algebra | |
| Select one of the following: | 3 | |
| Foundations of Applied Math | ||
| Partial Differential Equations | ||
| Nonlinear Systems and Chaos | ||
MATH 300-400 level elective | ||
| Applied Math Electives 1 | 3 | |
| Total Hours | 24 | |
- 1
Math Electives: cannot double-count with a required course.
Cannot use MATH 335 Applied Linear Algebra, MATH 339 Linear Algebra, MATH 432 CIS:, MATH 496 Comprehensive for Applied Mathematics, or MATH 499 Comprehensive for Mathematics as MATH electives.
Maximum of three (3) total credits from the following may be counted toward Math electives: MATH 365 Math Seminar (may be taken for credit only once), MATH 390 Directed Study, MATH 490 Directed Reading, MATH 497 Mathematics Internship.
Mathematics Minor
Program Requirements
| Code | Title | Hours |
|---|---|---|
| Lower Division | ||
| MATH 157 | Calculus and Analytic Geometry I | 4 |
| MATH 258 | Calculus and Analytic Geometry II | 4 |
| MATH 259 | Calculus and Analytic Geometry III | 4 |
| Upper Division | ||
| MATH 301 | Fundamentals of Mathematics | 3 |
| MATH 335 | Applied Linear Algebra | 3 |
| or MATH 339 | Linear Algebra | |
| MATH 300-400-level elective 1 | 3 | |
| MATH 400-level elective | 3 | |
| Total Hours | 24 | |
- 1
This course may be replaced by MATH 260 Ordinary Differential Equation.
Statistics Minor
Program Requirements
| Code | Title | Hours |
|---|---|---|
| Lower Division | ||
| MATH 157 | Calculus and Analytic Geometry I | 4 |
| MATH 258 | Calculus and Analytic Geometry II | 4 |
| Upper Division | ||
| MATH 335 | Applied Linear Algebra | 3 |
| or MATH 339 | Linear Algebra | |
| MATH 321 | Statistics for Experimentalist | 3 |
| or MATH 422 | Mathematical Statistics | |
| MATH 425 | Applied Statistical Models | 3 |
| or MATH 426 | Experimental Design | |
| Statistics Electives: 1 | 6 | |
| Total Hours | 23 | |
- 1
One course must be MATH. Cannot double-count with courses used elsewhere.
Statistics Electives List
| Code | Title | Hours |
|---|---|---|
| ECON 355 | Regression Analysis | 3 |
| CPSC 322 | Data Science Algorithms | 3 |
| CPSC 323 | Machine Learning and Intelligent Systems | 3 |
| ECON 451 | Econometrics | 3 |
| ECON 452 | Time Series Analysis | 3 |
| MATH 421 | Probability Theory | 3 |
| MATH 422 | Mathematical Statistics | 3 |
| MATH 423 | Stochastic Processes | 3 |
| MATH 426 | Experimental Design | 3 |
| PHYS 323 | Statistical Mechanics | 3 |
| PSYC 450 | Advanced Statistics in Psychology | 3 |
| Or any course with significant probability or statistics content with approval of the Math Department Chair. All of these courses have prerequisites and may require courses outside of the concentration to be taken. | ||
Courses
MATH 099. Intermediate Algebra. (3 Credits)
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.
MATH 100. College Algebra. (3 Credits)
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.
Course Fee: 5
MATH 103. Excursions in Mathematics. (3 Credits)
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.
Course Fee: 5
MATH 104. Elements of Algebra and Statistics. (3 Credits)
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.
Course Fee: 5
MATH 114. Mathematical Analysis for Business. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Course Fee: 5
MATH 121. Introductory Statistics. (3 Credits)
An introduction to the basic concepts of descriptive and inferential statistics and their application to the interpretation and analysis of data. Fall and Spring.
Course Fee: 5
MATH 147. Precalculus. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Course Fee: 5
MATH 148. Survey of Calculus. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Course Fee: 5
MATH 157. Calculus and Analytic Geometry I. (4 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Equivalent: HONS 157
Course Fee: 5
MATH 180. Special Topics. (1-4 Credits)
May be repeated for credit.
Topic to be determined by instructor.
Corequisites: MATH 157
MATH 193. FYS:. (3 Credits)
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.
MATH 221. Applied Statistics. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Course Fee: 5
MATH 231. Discrete Structures. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Course Fee: 5
MATH 258. Calculus and Analytic Geometry II. (4 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Equivalent: HONS 258
Course Fee: 5
MATH 259. Calculus and Analytic Geometry III. (4 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Course Fee: 5
MATH 260. Ordinary Differential Equation. (3 Credits)
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.
Prerequisites: MATH 259 with a minimum grade of D
Course Fee: 5
MATH 290. Directed Reading. (1-3 Credits)
May be repeated for credit.
Readings and reports in selected mathematical topics. Upon sufficient demand.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Enrollment limited to students with a semester level of Second Year (26-59.99 credits).
MATH 301. Fundamentals of Mathematics. (3 Credits)
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.
Prerequisites: MATH 259 with a minimum grade of D
Equivalent: HONS 311
MATH 321. Statistics for Experimentalist. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Course Fee: 5
MATH 328. Operations Research. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 335. Applied Linear Algebra. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 339. Linear Algebra. (3 Credits)
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.
MATH 341. Modern Geometry. (3 Credits)
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.
Prerequisites: MATH 259 with a minimum grade of D
MATH 350. Numerical Methods. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 351. Combinatorics and Graph Theory. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 360. Selected Topics. (1-3 Credits)
May be repeated for credit.
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
MATH 361. Selected Topics. (1-3 Credits)
May be repeated for credit.
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
MATH 362. Selected Topics. (1-3 Credits)
May be repeated for credit.
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
MATH 363. Selected Topics. (1-3 Credits)
May be repeated for credit.
Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. Upon sufficient demand.
MATH 365. Math Seminar. (1 Credit)
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
Prerequisites: MATH 258 with a minimum grade of D
MATH 390. Directed Study. (1-3 Credits)
May be repeated for credit.
Topic to be determined by faculty.
MATH 413. Real Analysis I. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 414. Real Analysis II. (3 Credits)
Continuation of MATH 413 with topics chosen from Lebesgue theory, metric spaces, function spaces, and multivariable calculus. Spring, odd years.
Prerequisites: MATH 413 with a minimum grade of D
MATH 417. Complex Variables. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 421. Probability Theory. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 422. Mathematical Statistics. (3 Credits)
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.
Prerequisites: MATH 421 with a minimum grade of D
MATH 423. Stochastic Processes. (3 Credits)
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.
Prerequisites: MATH 421 with a minimum grade of D
MATH 425. Applied Statistical Models. (3 Credits)
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.
MATH 426. Experimental Design. (3 Credits)
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.
MATH 432. CIS:. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 437. Abstract Algebra I. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 438. Abstract Algebra II. (3 Credits)
Continuation of MATH 437. Spring, even years.
Prerequisites: MATH 437 with a minimum grade of D
MATH 440. Foundations of Applied Math. (3 Credits)
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.
Prerequisites: MATH 260 with a minimum grade of C-
MATH 450. Selected Topics. (1-3 Credits)
May be repeated for credit.
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.
MATH 451. Special Topics. (1-3 Credits)
May be repeated for credit.
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.
MATH 452. Selected Topics. (1-3 Credits)
May be repeated for credit.
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.
MATH 453. Selected Topics. (1-3 Credits)
May be repeated for credit.
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.
MATH 454. Partial Differential Equations. (3 Credits)
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.
Prerequisites: MATH 260 with a minimum grade of C-
MATH 455. Chaos and Discrete Dynamical Systems. (3 Credits)
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: (CPSC 121 with a minimum grade of C and MATH 350 with a minimum grade of D) or (MATH 231 with a minimum grade of C and CPSC 122 with a minimum grade of D)
Equivalent: CPSC 455
MATH 457. Number Theory and Cryptography. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 459. Topology. (3 Credits)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
MATH 462. Nonlinear Systems and Chaos. (3 Credits)
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.
Prerequisites: MATH 260 with a minimum grade of C-
MATH 490. Directed Reading. (0-4 Credits)
May be repeated for credit.
Selected topics in mathematics.
MATH 494. Topics in Actuarial Science. (1 Credit)
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 upon sufficient demand.
MATH 496. Comprehensive for Applied Mathematics. (1 Credit)
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.
Course Fee: 35
Enrollment limited to students with a semester level of Fourth Year (96+ credits).
MATH 497. Mathematics Internship. (0-6 Credits)
Special program for Mathematics majors.
Enrollment limited to students with a semester level of Fourth Year (96+ credits).
MATH 498A. Thesis I. (1 Credit)
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.
Prerequisites: Prerequisites exist. Refer to Zagweb.
Enrollment limited to students with a semester level of Fourth Year (96+ credits) or Third Year (60-95.99 credits).
MATH 498B. Thesis II. (2 Credits)
Continuation of MATH 498A, culminating in a written thesis. Students are expected to present their work at a conference. Fall and Spring.
Prerequisites: MATH 498A with a minimum grade of B
MATH 499. Comprehensive for Mathematics. (1 Credit)
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.
Course Fee: 35
Enrollment limited to students with a semester level of Fourth Year (96+ credits).