Chairperson: Vesta Coufal
Professors: V. Coufal, T. McKenzie, S. Overbay, J. Burke (Emeritus), W. Carsrud (Emeritus), J. Firkins (Emeritus)
Associate Professors: L. Axon, R. Cangelosi, B. Dichone, M. Ghrist, M. K. Kearney, R. Ray, J. Stover, G. Nord (Emeritus), J. Vander Beek (Emeritus)
Assistant Professors: M. Alsaker, E. Hogle, D. Larson, A. Mamun, K. Shultis, H. Whitlatch
Senior Lecturer: C. Goodwin
Lecturers: T. Guardia, O. Kozubenko, S. Powers
The department offers two degrees, three majors and two minors:
Bachelor of Science in Mathematics
Bachelor of Arts in Mathematics
Bachelor of Science in Applied Mathematics
with optional concentrations in: Biology, Biochemistry, Chemistry, Computer Science,
Economics or Physics
Minor in Applied Mathematics
Minor in Mathematics
The Department of Mathematics provides training in mathematics and its applications to solve problems in business, engineering, the social sciences, and other disciplines. The curriculum offers a blend of pure mathematics and its applications. The department offers opportunities for students to grow their passion for mathematics and enrich their understanding of its role in the world through participation 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 (MATH 496 or MATH 499) in the fall semester of their final year.
Prospective teachers of mathematics should consult the School of Education for the current state certification requirements.
It is recommended that all Mathematics majors take PHYS 103, CHEM 101, or BIOL 105 to satisfy their University Core Scientific Inquiry requirement. The department involves students with activities sponsored by the Mathematical Association of America and the Society of Industrial and Applied Mathematics. Majors may also participate in the annual William Lowell Putnam Mathematical Competition held every December.
B.S. Major in Applied Mathematics: 5768 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^{(1) }Ordinary Differential Equations  3 credits 
CPSC 121 Computer Science I  3 credits 
^{(1) }Computer Science concentration students will take MATH 231 Discrete Structures instead of MATH 260.  
Upper Division 

MATH 301 Fundamentals of Mathematics  3 credits 
MATH 339 Linear Algebra  3 credits 
MATH 350 Elementary Numerical Analysis  3 credits 
MATH 413^{(2)} Real Analysis I 
3 credits 
Choose one of the following two courses: 
3 credits 
MATH 321 Statistics for Experimentalists


MATH 422^{(3)(4) }Mathematical Statistics


MATH 496 Comprehensive  Applied Math  1 credit 
^{(2) }Computer Science concentration students will take MATH 437 Abstract Algebra I instead of MATH 413.  
^{(3) }Economics concentration students must take MATH 422 (not MATH 321). 

^{(4) }All concentrations besides Economics: If MATH 422 is chosen, then one MATH 400 level elective may be replaced by a MATH 300 level elective.  


MATH 260^{(5) }Ordinary Differential Equations


MATH 328 Operations Research


MATH 341 Modern Geometry


MATH 351 Combinatorics & Graph Theory


MATH 361MATH 363 Selected Topics


MATH 413^{(6) }Real Analysis I


MATH 414 Real Analysis II


MATH 417 Complex Variables


MATH 421 Probability Theory


MATH 423Stochastic Processes


MATH 437 Abstract Algebra I


MATH 438 Abstract Algebra II


MATH 450MATH 453 Selected Topics


MATH 454 Partial Differential Equations


MATH 457 Number Theory and Cryptography


MATH 459 Topology


MATH 462 Nonlinear Systems and Chaos


MATH 498A/MATH 498B Thesis I/II


^{(5) }Computer Science concentration only: MATH 260 can be counted as a MATH 300400 level elective.  
^{(6) }Computer Science concentration only: MATH 413 can be counted as a MATH 400 level elective. 

Select one of the following options: 

(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 requirements.) No concentration 

No concentration: 2325 credits 

Choose two of the following three courses: 
8 credits 
BIOL 105/BIOL 105L Information Flow in Biological Systems


CHEM 101/CHEM 101L General Chemistry


PHYS 103 Scientific Physics I


Choose one of the following four courses:  35 credits 
BIOL 106 Energy Flow in Biological Systems (3 credits)


CHEM 205 Inorganic Chemistry (3 credits)


CHEM 230/CHEM 230L Organic Chemistry I (5 credits)


PHYS 204 Scientific Physics II (4 credits)


Choose one of the following two courses:  3 credits 
MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Electives: Minimum of 6 credits must be chosen from the electives list above; cannot doublecount with a required course  
MATH 300400 level elective  3 credits 
MATH 400 level electives  6 credits 
Biology concentration: 34 credits 

CHEM 101/CHEM 101L General Chemistry  4 credits 
BIOL 105/BIOL 105L Information Flow in Biological Systems  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


BIOL 206/BIOL 206L Ecology


BIOL 207/BIOL 207L Genetics


BIOL 300400 level electives^{(6) }  6 credits 
Choose one of the following two courses:  3 credits 
MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Electives: All 6 credits must be chosen from the electives list above; cannot doublecount with a required course 

MATH 400 level electives  6 credits 
^{(6) }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 casebycase basis). BIOL 334, 337, and 451 are allowed but require BIOL 205, 206, and 207 as prerequisites. 

Biochemistry concentration: 33 credits 

CHEM 101/CHEM 101L General Chemistry  4 credits 
CHEM 230/CHEM 230L Organic Chemistry I  5 credits 
CHEM 231/CHEM 231L Organic Chemistry II  4 credits 
CHEM 245/CHEM 245L Biochemistry  4 credits 
CHEM 399 Advanced Topics 
2 credits 
CHEM 407^{ }Special Topics in Biochemistry 
2 credits 
Choose one of the following two courses:  3 credits 
MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Electives: Minimum of 6 credits must be chosen from the electives list above; cannot doublecount with a required course 

MATH 300400 level elective  3 credits 
MATH 400 level electives  6 credits 
Chemistry concentration: 33 credits 

PHYS 103 Scientific Physics I  4 credits 
CHEM 101/CHEM 101L General Chemistry  4 credits 
CHEM 205 Inorganic Chemistry  3 credits 
CHEM 230/CHEM 230L Organic Chemistry I  5 credits 
CHEM 310/CHEM 310L Analytical Chemistry 
5 credits 
CHEM 355 Physical Chemistry 
3 credits 
Choose one of the following two courses:  3 credits 
MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Electives: All 6 credits must be chosen from the electives list above; cannot doublecount with a required course 

MATH 400 level electives 
6 credits 
Computer Science concentration: 27 credits 

CPSC 122 Computer Science II  3 credits 
CPSC 223 Algorithms and Abstract Data Structures  3 credits 
CPSC 300400 level electives^{(7)}  6 credits 
Choose one of the following three courses: 
3 credits 
MATH 457 Number Theory and Cryptography


MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Electives: Minimum of 9 credits must be chosen from the electives list above; cannot doublecount with a required course 

MATH 300400 level electives  6 credits 
MATH 400 level electives  6 credits 
^{(7) }Elective options: CPSC 310319, 321, 326, 351, 353, 360, 410414, 425, 427, 447, 450, 475 (CPSC 321, 351, 353, and 450 are the recommended elective choices).  
Economics concentration: 27 credits 

ECON 201 Microeconomics  3 credits 
ECON 202 Macroeconomics  3 credits 
Choose one of the following two courses: 
3 credits 
ECON 301 Intermediate Microeconomics


ECON 302 Intermediate Macroeconomics


ECON 303 Game Theory and Economic Applications  3 credits 
ECON 300400 level elective^{(8) }  3 credits 
MATH 421 Probability Theory  3 credits 
Choose one of the following two courses: 
3 credits 
MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Electives: Minimum of 3 credits must be chosen from the electives list above; cannot doublecount with a required course 

MATH 300400 level electives  6 credits 
^{(8) }Elective options: ECON 301, 311, 320, 321, 322, 324, 325, 330, 333, 334, 351, 352, 404, 451 (ECON 321 and 451 are the recommended elective choices).  
Physics concentration: 31 credits 

PHYS 103/PHYS 103L Scientific Physics I  5 credits 
PHYS 204/PHYS 204L Scientific Physics II  5 credits 
PHYS 200, 300, 400 level electives^{(9)}  6 credits 
Choose two of the following three courses: 
6 credits 
MATH 417 Complex Variables


MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Electives: Minimum of 6 credits must be chosen from the electives list above; cannot doublecount with a required course 

MATH 300400 level elective  3 credits 
MATH 400 level electives  6 credits 
^{(9) }Elective options: PHYS 205, 301, 306, 307, 402, 407, 409, 415, 450, 464 (PHYS 409 and 464 require PHYS 205 to be taken as a prerequisite).  
Minor in Applied Mathematics: 24 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 
Upper Division 

MATH 339 Linear Algebra  3 credits 
Choose 1 of the following 2 courses:  3 credits 
MATH 454 Partial Differential Equations


MATH 462 Nonlinear Systems and Chaos


Mathematics Elective: Cannot double count with a course used above 
3 credits 
MATH 301 Fundamentals of Mathematics


MATH 321 Statistics for Experimentalists


MATH 328 Operations Research


MATH 341 Modern Geometry


MATH 350 Elementary Numerical Analysis


MATH 351* Combinatorics & Graph Theory


MATH 361MATH 363 Selected Topics


MATH 413* Real Analysis I


MATH 417* Complex Variables


MATH 421* Probability Theory


MATH 422* Mathematical Statistics


MATH 423 Stochastic Processes  
MATH 437* Abstract Algebra I


MATH 450MATH 453* Selected Topics


MATH 454 Partial Differential Equations


MATH 457* Number Theory and Cryptography


MATH 459* Topology


MATH 462 Nonlinear Systems and Chaos


*Has an additional prerequisite which the required courses in the minor do not account for, typically MATH 301  
Minor in Mathematics: 24 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 any 400level  3 credits 
MATH Electives* 
3 credits 
In addition to their major and minor areas of study, all undergraduate students follow a common program designed to complete their education in those areas that the University considers essential for a Catholic, Jesuit, liberal, and humanistic education. The University Core Curriculum consists of fortyfive credits of course work, with additional designation requirements that can be met through core, major, or elective courses.
The University Core Curriculum is a fouryear program, organized around one overarching question, which is progressively addressed through yearly themes and questions. Hence, core courses are best taken within the year for which they are designated. First year core courses encourage intellectual engagement and provide a broad foundation of fundamental skills. Second and third year courses examine central issues and questions in philosophy and religious studies. The fourth year course, the Core Integration Seminar, offers a culminating core experience. Taken at any time throughout the four years, broadening courses intersect with the core themes and extend students’ appreciation for the humanities, arts, and social and behavioral sciences. Finally, the designation requirements (writing enriched, global studies, and social justice) reflect important values and reinforce students’ knowledge and competencies.
Overarching Core Question: As students of a Catholic, Jesuit, and Humanistic University, how do we educate ourselves to become women and men for a more just and humane global community?
Year 1 Theme and Question: Understanding and Creating: How do we pursue knowledge and cultivate understanding?
 The FirstYear Seminar (DEPT 193, 3 credits): The FirstYear Seminar (FYS), taken in the fall or spring of the first year, is designed to promote an intellectual shift in students as they transition to college academic life. Each small seminar is organized around an engaging topic, which students explore from multiple perspectives. The FYS is offered by many departments across the University (click here [PDF] for list of FYS courses).
 Writing (ENGL 101, 3 credits) and Reasoning (PHIL 101, 3 credits): The Writing and Reasoning courses are designed to help students develop the foundational skills of critical reading, thinking, analysis, and writing. They may be taken as linked sections. Writing (ENGL 101) carries one of the three required writingenriched designations (see below).
 Communication & Speech (COMM 100, 3 credits): This course introduces students to interpersonal and small group communication and requires the application of critical thinking, reasoning, and research skills necessary to organize, write, and present several speeches.
 Scientific Inquiry (BIOL 104/104L, CHEM 104/104L, or PHYS 104/104L, 3 credits): This course explores the scientific process in the natural world through evidencebased logic and includes significant laboratory experience. Students pursuing majors that require science courses will satisfy this requirement through their major.
 Mathematics (above Math 100, 3 credits): Mathematics courses promote thinking according to the modes of the discipline—abstractly, symbolically, logically, and computationally. One course in mathematics, above Math 100, including any math course required for a major or minor, will fulfill this requirement. MATH 100 (College Algebra) and courses without the MATH prefix do not fulfill this requirement.
Year 2 Theme and Question: Being and Becoming: Who are we and what does it mean to be human?
 Philosophy of Human Nature (PHIL 201, 3 credits): This course provides students with a philosophical study of key figures, theories, and intellectual traditions that contribute to understanding the human condition; the meaning and dignity of human life; and the human relationship to ultimate reality.
 Christianity and Catholic Traditions (RELI, 3 credits). Religious Studies core courses approved for this requirement explore diverse topics including Christian scriptures, history, theology, and practices as well as major contributions from the Catholic intellectual and theological traditions (click here [PDF] for a list of approved courses) .
Year 3 Theme and Question: Caring and Doing: What principles characterize a well lived life?
 Ethics (PHIL 301 or RELI, 3 credits): The Ethics courses are designed to help students develop their moral imagination by exploring and explaining the reasons humans should care about the needs and interests of others. This requirement is satisfied by an approved ethics course in either Philosophy (PHIL 301) or Religious Studies (click here [PDF] for a list of approved courses).
 World/Comparative Religion (RELI, 3 credits): Religious Studies courses approved for this core requirement draw attention to the diversity that exists within and among traditions and encourage students to bring critical, analytical thinking to bear on the traditions and questions considered. These courses carries one of the required two globalstudies designations (see below) (click here [PDF] for a list of approved courses).
Year 4 Theme and Question: Imagining the Possible: What is our role in the world?”
 Core Integration Seminar (DEPT 432, 3 credits). The Core Integration Seminar (CIS) offers students a culminating core experience in which they integrate the principles of Jesuit education, prior components of the core, and their disciplinary expertise. Some CIS courses may also count toward a student’s major or minor. The CIS is offered by several departments across the University (click here [PDF] for list of CIS courses).
The Broadening Courses
 Fine Arts & Design (VART, MUSC, THEA, 3 credits): Arts courses explore multiple ways the human experience can be expressed through creativity, including across different cultures and societies. One approved course in fine arts, music, theatre, or dance will fulfill this requirement (click here [PDF] for a list of approved courses).
 History (HIST, 3 credits): History courses are intended to develop students’ awareness of the historical context of both the individual and the collective human experience. One course in History (HIST 101, HIST 102, HIST 112, HIST 201, HIST 202) will fulfill this requirement.
 Literature (3 credits): Literature courses foster reflection on how literature engages with a range of human experience. One approved course in Literature (offered by English, Classics, or Modern Languages) will fulfill this requirement (click here [PDF] for a list of approved courses).
 Social & Behavioral Sciences (3 credits): Courses in the social and behavioral sciences engage students in studying human behavior, social systems, and social issues. One approved course offered by Criminal Justice, Economics, Political Science, Psychology, Sociology, or Women and Gender Studies will fulfill this requirement (click here [PDF] for a list of approved courses).
The Designations
Designations are embedded within already existing core, major, minor, and elective courses. Students are encouraged to meet designation requirements within elective courses as their schedule allows; however, with careful planning students should be able to complete most of the designation requirements within other core, major, or minor courses.
 Writing Enriched (WE; 3 courses meeting this designation): Courses carrying the WE designation are designed to promote the humanistic and Jesuit pedagogical ideal of clear, effective communication. In addition to the required core course, Writing (ENGL 101), which carries one of the WE designations, students must take two other WEdesignated courses (click here [PDF] for a list of approved courses).
 GlobalStudies (GS; 2 courses meeting this designation): Courses carrying the GS designation are designed to challenge students to perceive and understand human diversity by exploring diversity within a context of constantly changing global systems. In addition to the required core course, World/Comparative Religion (RELI 300level), which carries one of the GS designations, students must take one other GSdesignated course (click here [PDF] for a list of approved courses).
 SocialJustice (SJ; 1 course meeting this designation): Courses carrying the SJ designation are designed to introduce students to one or more social justice concerns. Students must take one course that meets the SJ designation (click here [PDF] for a list of approved courses).
Majorspecific adaptations to the University Core Curriculum
All Gonzaga students, regardless of their major, will complete the University Core Curriculum requirements. However some Gonzaga students will satisfy certain core requirements through majorspecific programs or courses. Any majorspecific adaptations to the core are described with the requirements for the majors to which they apply.