Undergraduate Program (BS)

Mathematics

Mathematics is the study of patterns. It provides a unique way of investigating and understanding both real and imagined worlds around us. The development of problem-solving and critical thinking skills will prepare you for a career in almost any field. Our small classes, careful advising and close personal attention provide the support and guidance designed for developing your unique abilities to the fullest.

Course Sequence

Sample Courses

Related Majors & Minors

Sample Four-Year Mathematics Course Sequence

First Year

First Semester	Semester Hours
MATHEMATICS 170 Calculus I	4
COMPUTER SCIENCE 170 Computer Science I	3
Second Language	3
ENGLISH 101 English Composition	3
First Year Seminar	3
CORE 101: GOA Co-Curriculum Program I	0

Second Semester	Semester Hours
MATHEMATICS 171 Calculus II	4
MATHEMATICS 225 Foundation of Higher Math	3
Second Language II	3
PHILOSOPHY 100 Ethics as Intro to Philosophy	3
THEOLOGY 111 Theological Foundations	3
CORE 102: GOA Co-Curriculum Program II	0

This is a sample course sequence to illustrate class offerings for this major.
Consult the official Xavier University catalog for detailed registration and advising information.

Sophomore

First Semester	Semester Hours
MATHEMATICS 220 Calculus III	4
Historical Perspectives	3
Lit & Moral Imagination	3
Writing Flag	3
PHILOSOPHY 200 Philosophical Perspectives	3

Second Semester	Semester Hours
MATHEMATICS 240 Linear Algebra	3
MATHEMATICS Elective	3
Creative Perspective	3
Quantitative Reasoning Flag	3
Theological Perspectives	3

This is a sample course sequence to illustrate class offerings for this major.
Consult the official Xavier University catalog for detailed registration and advising information.

Junior

First Semester	Semester Hours
MATHEMATICS 340 Abstract Algebra	3
MATHEMATICS Elective	3
Scientific Perspectives, Lecture & Lab	4
Oral Communication Flag	3
Elective	3

Second Semester	Semester Hours
MATHEMATICS 370 Real Analysis	3
MATHEMATICS Elective	3
MATHEMATICS 391 Mathematics Seminar I	1
Natural Science Elective, Lecture & Lab	4
Elective	3

This is a sample course sequence to illustrate class offerings for this major.
Consult the official Xavier University catalog for detailed registration and advising information.

Senior

First Semester	Semester Hours
MATHEMATICS Elective	3
MATHEMATICS 392 Mathematics Seminar II	1
E/RS Flag	3
Social Science Elective	3
General Elective	3
General Elective	3

Second Semester	Semester Hours
MATHEMATICS Elective	3
MATHEMATICS 393 Mathematics Seminar III	1
DCR Elective	3
Humanities Elective	3
General Elective	3

This is a sample course sequence to illustrate class offerings for this major.
Consult the official Xavier University catalog for detailed registration and advising information.

Sample Courses

Xavier is known for providing an education that’s both challenging and personal. Here are some courses that are part of the Mathematics major at Xavier:

Statistical Inference (MATH 312) - Maximum likelihood principle, Bayesian estimation, properties of estimators, sufficiency, likelihood ratio tests, chi-square distribution, t distribution, F distribution, power, nonparametrics, bootstrap, and Markov Chain Monte Carlo.

Cryptology (MATH 316) - The making and breaking of secret ciphers and codes. Classical ciphers: shift, affine, Vigenère, substitution, Hill, one-time pads, and Enigma. A brief introduction to number theory. Modern methods: RSA algorithm, DES, AES: Rijndael, discrete logarithms and elliptic curves.

Mathematical Modeling (MATH 325) - The synthesis, formulation and solution of various problems in applied mathematics and related fields.

Abstract Algebra (MATH 340) - Groups, isomorphism, homomorphism, normal subgroups, rings, ideals, fields.

Real Analysis (MATH 370) - Rigorous development of calculus of functions of a single variable. The real number system, topology of the real line, continuity, uniform continuity, the derivative, the Riemann integral, sequences and series of real numbers, and uniform convergence.

100%

of Xavier Mathematics Majors are employed, attending grad school or working in service or volunteer positions within six months of graduation.

STAND OUT THAT'S THE XAVIER DIFFERENCE

PERSONAL ATTENTION

Xavier's not a huge school, and that's a good thing. Even in introductory courses, classes have fewer than 25 students. Upper-level courses get even smaller, with personalized attention from faculty along the way.

RESEARCH OPPORTUNITIES

Xavier offers special summer research programs locally, as well as opportunities to get involved in a national project. Senior projects are completed under the supervision of a faculty member, with review during a final presentation.

PROFESSIONAL EXPERIENCE

Participate in a funded internship or work on campus as a paid tutor in the Mathematics Tutoring Lab or the Learning Assistance Center. Connect with our Career Development office to find the perfect fit.