The Computational Mathematics major provides an enriching selection of courses in applied mathematics augmented with computer science courses. The curriculum develops the computing skills required for many of today’s scientific, business, financial, and technological applications.

Degree Requirements

The College of Arts and Sciences curricular requirements are organized around these essential components:

• The development of fundamental skills of critical inquiry, analysis and expression.
• The development of appreciation for the spiritual and creative dimensions of human life and culture.
• The development of a responsible commitment to the broader social and political communities in which we live.

The college challenges students to embrace, seek to understand and engage actively in the complexities of the world in which we live. Courses in the Marquette Core Curriculum (MCC), drawn from the different disciplines within the humanities, natural sciences and social sciences, provide multiple perspectives and methods of inquiry. The MCC serves as the foundation for the intellectual growth of our students as they pursue their majors and professional disciplines, and as they develop into men and women who dedicate their lives to the service of others.

Courses in the majors provide in depth knowledge and skills concerning a particular area of study. The college offers a wide variety of discipline-based majors in the Humanities (English, History, Philosophy, Theology and Languages, Literatures and Cultures); in the Social Sciences (Anthropology, Criminology and Law, Economics, Political Science, Psychology, Sociology and Social Welfare and Justice); and in the Sciences (Biology, Chemistry, Physics, Math, Statistics and Computer Science). In addition, a wide range of majors and minors are offered in interdisciplinary areas of study including Africana Studies, Bioinformatics, Cognitive Science and Gender and Sexualities Studies, among others.

The combination of courses required by the Marquette Core Curriculum and individual majors in the College of Arts and Sciences ensures that students are educated both broadly and deeply, in keeping with long-standing Jesuit educational ideals and principles.

First-Year Seminar

Students are required to complete ARSC 1953 Exploring Arts and Sciences during the fall term of their first year at Marquette. Students in the Honors Program are exempt from this requirement. Advanced standing transfer students who have completed a similar course at another institution may ask the college to waive the requirement.

Bulletin Year and Degree Audit

Undergraduate students must meet the graduation requirements that are outlined in the Undergraduate Bulletin in effect the year in which they enter Marquette. Substitutions or waivers for specific courses that are required for degree completion may occur, as determined by the Klingler College of Arts and Sciences.

Students who interrupt their enrollment from the university follow the degree requirements from the bulletin in effect during the academic year of their readmission. In rare cases, the college may determine that readmitted students fall under a different set of degree requirements than the academic year in which they are readmitted. Policies and regulations in effect at the time of return apply to all students, regardless of the term of initial enrollment.

It is the responsibility of students to know and fulfill the requirements for graduation specified for the selected plan. Students are encouraged to use the Academic Advisement degree audit system, which is accessed via their Student Center and tracks courses that have been completed, as well as the Marquette Core Curriculum, college curricular requirements and major/minor requirements toward degree completion.

Grade Point

• Earn a minimum grade point average of 2.000 for graduation.
• Achieve a 2.000 grade point average in all courses in the major or minor.

Credit Hours

Complete a minimum of 32 credit hours in upper-division Marquette courses (lower-division courses are numbered 1000 to 2999; upper-division courses are numbered 3000 and above).

Other Requirements for Graduation

• Complete the formal online application for graduation available in the CheckMarq Student Center, by the specific term deadlines for application, as published in the Academic Calendar.
• The college adheres to the University Commencement Policy.

Although most students can fulfill the Marquette Core Curriculum requirements, the college curricular requirements, their major requirements and elective courses without exceeding 120 credits, certain combinations of major and minor fields may require more than the minimum. Students are urged, therefore, to consult an adviser before selecting a major and any additional majors or minors.

It is the responsibility of students to know and to fulfill all university, Klingler College of Arts and Sciences and major department requirements (See the corresponding sections of this bulletin for additional information regarding the Marquette Core Curriculum, university graduation and residency requirements, college curricular requirements and department major and minor requirements).

University Graduation Requirement

Undergraduate Graduation Policy

Students are required to graduate at the end of the term in which all degree requirements are completed. Degree requirements are those requirements, including university, college and all other requirements necessary to earn a minimum of one undergraduate degree and any declared degrees/majors/minors/concentrations. That is, additional degrees/majors/minors/concentrations may be earned; however, they must be completed in the same term as the first degree/primary major is completed. Except in the case of readmission, undergraduate students must meet the graduation requirements which are stated in the Undergraduate Bulletin issued for the year in which they entered Marquette. Substitutions or waivers for specific courses required for degree completion may occur, as determined by the college and/or the Marquette Core Curriculum committee.

Students who have interrupted their enrollment from the university, are normally obliged to follow the degree/major/minor/concentration requirements in effect at the time of readmission. Policies that are in effect at the time of the return, apply to all students, regardless of the term of initial enrollment. Students are responsible for keeping themselves informed of the requirements which apply in their particular cases. Students have faculty advisers available who assist in planning and implementing their plan of studies; however, it is ultimately each student’s responsibility to know and fulfill the requirements for graduation specified for the selected plan. This should be done not only by utilization of specific advisers, but also with Academic Advisement, the university’s online degree audit tool on CheckMarq provided to all undergraduates. With Academic Advisement, students track their degree progress until graduation. It is the responsibility of students to immediately bring any discrepancies found in Academic Advisement to the attention of their college.

A candidate for a baccalaureate degree must meet the following graduation requirements:

1. In all undergraduate colleges and programs, a minimum of 120 credits earned and a cumulative grade point average of 2.000 is required for a Marquette undergraduate degree.
2. Credits required to be completed in residence at Marquette:
   1. A minimum of 45 total credits must be completed at Marquette. Up to 15 of the 45 credits may be completed through an approved study abroad program.
   2. A minimum of 32 upper-division credits must be completed at Marquette. This may include upper-division credits from an approved study abroad program.
   3. The final 30 credits needed to complete a Marquette undergraduate degree must be completed at Marquette, unless those credits are earned in an approved study abroad program, or are earned as part of a written/contractual agreement with another institution, in which Marquette students participate during the final year of their degree program.
   4. A minimum of one-half of credits in the major, minor, and concentration not attached to a major must be completed at Marquette.
3. Students must attend all courses, lectures, or any other exercises that are required, even though, in some cases such activities receive no recognition in terms of credit hours.
4. Students' records must be cleared of all grades that are not permanent, i.e., grades of I, IC, IE and NG.
5. Students must file the online application for a degree by the deadline published in the Academic Calendar; however, because students are required to graduate at the end of the term in which all university, degree requirements are complete, the university reserves the right to graduate a student without a graduation application on file. If the university exercises this option, there is no guarantee students will be able to participate in Commencement.
6. Commencement is held in May, after the spring term. Participation in Commencement does not mean students are graduated. See the Commencement Policy in this section for further details.
7. Exceptions to this Graduation Requirements policy must be approved by the Office of the Provost, except:
   • the course and bulletin year exceptions listed in the 'Graduation Requirements' section above (as approved by the college)
   • number 3 above (as approved by the college)
   • the dean’s office in the college where the student’s program resides may exempt up to 6 of the final 30 credits from being completed in residence (number 2c above)

For additional college requirements, consult the Degree Requirements listed for each undergraduate program in this bulletin.

Special Note for 2023-2024: Students who attended Cardinal Stritch University in a bachelor's degree program during the 2022-2023 year and directly transfer to a bachelor's degree program at Marquette University in Fall 2023 or Spring 2024 with fewer than 45 credits remaining in their Marquette program are exempted from the standard Marquette residency requirement (items 2-6 listed above). In lieu of the standard residency requirement, exempted students must complete all remaining credits for their undergraduate degree at Marquette. Exempted students are expected to remain continuously enrolled (fall and spring terms) at Marquette until the completion of their bachelor's degree.

Graduation Latin Honors

The grade point average is used to compute graduation Latin honors. The computation is made by dividing the total number of grade points earned at Marquette University by the total number of grade point hours earned. The official Marquette GPA of all students is calculated by the student information system and this GPA is not rounded up or down for any reason. To graduate with Latin honors, candidates must be pursuing their first bachelor's degree, earned at least 60 grade point hours and 60 degree hours at Marquette University, normally as a junior and senior. First bachelor's degree is defined as the first bachelor's degree earned from any institution. When students earn a concurrent additional bachelor's degree (i.e., finish in the same term as the first bachelor's degree), the additional degree is also eligible for Graduation Latin Honors, if the first bachelor's degree qualifies.

Graduates whose grade point average is 3.500, graduate with cum laude (Latin for 'with honor'); graduates whose grade point average is 3.700, graduate with magna cum laude (Latin for 'with great honor'); and graduates whose grade point average is 3.900, graduate with summa cum laude (Latin for 'with highest honor'). Graduation Latin honors are recorded on diplomas, noted in the published lists of graduates at Commencement and recorded on students' transcript.

Graduation Record

The academic record of students is frozen once the degree is posted and may not be altered thereafter, unless required to do so by law and/or a documented university error is discovered after the degree is posted. This includes, but is not limited to: all relevant grade point averages, grades, additional information relating to the degree(s), major(s), minor(s), concentration(s), Latin Honors and academic censure.

Major in Computational Mathematics

The major in consists of 54 cr. hrs. consisting of required and elective courses in Computer Science and Mathematics.

Course List

Code	Title	Hours
Required Computer Sciences Courses:
COSC 1010	Introduction to Software Development	4
COSC 1020	Object-Oriented Software Design	4
COSC 2100	Data Structures	3
COSC 3100	Algorithms	3
Computer Science Elective - choose one of the following:		3
COSC 3090	Bioinformatics Algorithms
COSC 3250	Operating Systems
COSC 3410	Programming Languages
COSC 3570	Introduction to Data Science
COSC 3810	Software Design and Analysis
COSC 4600	Fundamentals of Artificial Intelligence
COSC 4610	Data Mining
Required Mathematics Courses:
MATH 1450	Calculus 1	4
MATH 1455	Calculus 2	4
or MATH 1451	Integral Calculus
MATH 2350	Foundations of Mathematics	3
MATH 2440	Calculus 3	4
or MATH 2450	Multivariable Calculus
MATH 2451	Differential Equations	4
MATH 3100	Linear Algebra and Matrix Theory	3
MATH 4540	Numerical Analysis	3
MATH 4630	Mathematical Modeling and Analysis	3
MATH 4720	Statistical Methods	3
or MATH 4740	Biostatistical Methods and Models
Mathematics Electives - choose two of the following:		6
MATH 3570	Introduction to Data Science
MATH 4200	Intermediate Analysis 1
MATH 4210	Complex Variables
MATH 4500	Theory of Differential Equations
MATH 4510	Elementary Partial Differential Equations
MATH 4650	Theory of Optimization
MATH 4670	Applied Combinatorial Mathematics
MATH 4700	Theory of Probability
MATH 4710	Mathematical Statistics
MATH 4760	Time Series Analysis
MATH 4780	Regression Analysis
Total Credit Hours:		54

Note:

• Depending on course topic and departmental approval, an upper division MATH course outside of list may be substituted as a Mathematics elective.
• Depending on course topic and departmental approval, an upper division COSC course outside of list may be substituted as a Computer Science elective.

DEPARTMENT OF PUBLIC INSTRUCTION CERTIFICATION FOR MATHEMATICS MAJORS

To pursue Wisconsin Department of Public Instruction certification, students in the College of Education majoring in Computational Mathematics must fulfill the requirements of the major as listed below. Students must also complete MATH 2032 Algebra and Geometry for Teachers and MATH 4020 The Teaching of Mathematics prior to beginning their student teaching assignments in accordance with state certification requirements. Students should consult with the Director of Teacher Education in the College of Education concerning course selections and sequencing from the outset of their studies.

Course List

Code	Title	Hours
Required Computer Science Courses:
COSC 1010	Introduction to Software Development	4
COSC 1020	Object-Oriented Software Design	4
COSC 2100	Data Structures	3
COSC 3100	Algorithms	3
COSC 4010	Teaching Computer Science	3
Required Mathematics Courses:
MATH 1450	Calculus 1	4
MATH 1455	Calculus 2	4
or MATH 1451	Integral Calculus
MATH 2350	Foundations of Mathematics	3
MATH 2440	Calculus 3	4
or MATH 2450	Multivariable Calculus
MATH 2451	Differential Equations	4
MATH 3100	Linear Algebra and Matrix Theory	3
MATH 4030	Concepts in Geometry and Calculus from an Advanced Standpoint	3
MATH 4040	Concepts in High School Algebra and Number Theory from an Advanced Standpoint	3
or MATH 4320	Theory of Numbers
MATH 4540	Numerical Analysis	3
MATH 4630	Mathematical Modeling and Analysis	3
MATH 4720	Statistical Methods	3
or MATH 4740	Biostatistical Methods and Models
Total Credit Hours:		54

Typical Program for Computational Mathematics Majors

Freshman
First Term	Hours	Second Term	Hours
ARSC 1953	1	COSC 1020	4
COSC 1010	4	MATH 1451 or 1455	4
MATH 1450	4	ENGL 1001 or ESSV1 (MCC)	3
ENGL 1001 or ESSV1 (MCC)	3	PHIL 1001 or THEO 1001 (MCC)	3
PHIL 1001 or THEO 1001 (MCC)	3
	15		14
Sophomore
First Term	Hours	Second Term	Hours
COSC 2100	3	MATH 2451	4
MATH 2350	3	MATH 3100	3
MATH 2440 or 2450	4	CORE 1929 (MCC) or elective	3
CORE 1929 (MCC) or elective	3	DSCV (MCC)1,2	3
Elective	3	Elective	3
	16		16
Junior
First Term	Hours	Second Term	Hours
MATH 4540	3	COSC 3100	3
MATH 4720 or 4740	3	Mathematics elective	3
DSCV (MCC)1,2	3	DSCV (MCC)1,2	3
DSCV (MCC)1,2	3	DSCV (MCC)1,2	3
Elective	3	Elective	3
	15		15
Senior
First Term	Hours	Second Term	Hours
MATH 4630	3	Mathematics elective	3
Computer Science elective	3-4	CORE 4929 (MCC) or elective	3
CORE 4929 (MCC) or elective	3	Electives	9
Electives	6
	15-16		15
Total Credit Hours: 121-122

1	The four courses in the Discovery Tier (DSCV) of the MCC must be completed in the same theme and include the following content areas: Humanities (HUM), Social Science (SSC), Natural Science and Mathematics (NSM) and one elective (ELE), which is an additional course from any of the three content areas. A maximum of two courses in the Discovery Tier can apply towards a primary major.
2	Students must also complete the Writing Intensive (WRIT) and Engaging Social System and Values 2 (ESSV2) requirements of the MCC. These requirements can be fulfilled through designated courses in the Discovery Tier or other degree requirements.

University Policies

College of Arts and Sciences Policies