Mathematics, B.A.
Overview
B.A. Program
This program has fewer required courses in mathematics so students have more free credits to explore other disciplines or further expand their mathematical experience. This program is particularly suited for students who wish to combine mathematics with another major. The college has a strong history in education, and this degree would complement the education department, allowing students who wish to become secondary school teachers of mathematics to complete their master’s degree in education at D’Youville College. A total of 11 mathematics courses (36 hours) are required, consisting of 8 required courses (27 hours) and 3 electives (9 hours). In addition, two semesters of physics with lab (8 credit hours) are required – either PHY 101, 101L, 102, 102L or PHY 103, 103L, 104, 104L – these courses are in addition to the seven credits of core science.
Courses
Course Requirements
Mathematics
Degree: B.A.
Course Requirements for the Major:
Course Number  Course Name  Credits 

*MAT 125 
Calculus IBasic theory of functions, limits, continuity, derivatives and integrals are taught.
Some emphasis is placed on the structure of the real number system. 
4 
*MAT 126 
Calculus IIThe course explores the basic techniques for integration as well as elementary transcendental
functions and the applications of differential and integral calculus. 
4 
MAT 202 
Calculus IIIThe subject matter includes multivariate calculus, infinite series, differential equations
and matrix algebra. 
4 
MAT 300 
Introduction to Mathematical ReasoningThis course introduces the student to abstract mathematics and proofs. Topics covered
in the course include logic, sets, relations, functions, proofing methods (including
proof by induction, contrapositive and contradiction) and cardinality. 
3 
MAT 301 
Real Analysis IThe study of realvalued functions of one variable properties include continuity,
uniform continuity and differentiation. 
3 
MAT 315 
Linear AlgebraAn introduction to linear systems including matrices, determinants, linear transformations,
vector spaces and linear independence. The student will perform most of the computation
on a computer, so that familiarity with at least one higherlevel programming language
is presupposed. Applications include linear programming, graph theory, least squares,
Markov chains and differential equations. 
3 
MAT 401 
Abstract Algebra IIn this course, you will cover groups, quotient groups, homomorphisms, rings and fields. 
3 
MAT 402 
Abstract Algebra IIThis course covers vector spaces, extension fields, elements of Galois theory. 
3 
Total  27 
*Courses require a minimum grade of B.
Mathematics Electives (select three of the following):
Course Number  Course Name  Credits 

MAT 303 
Foundations of Geometry IThis course is a study of symmetry and isometry in two and threedimensional space
from both the Euclidean and Cartesian viewpoints. Inversion geometries will also be
covered as well as group of transformations. 
3 
MAT 304 
Foundations of Geometry IIThis course covers affine, projective, absolute and hyperbolic geometries as well
as vectors and differential geometries. Students will cover some topological problems.
Prerequisite: MAT 303 
3 
MAT 310 
Foundations of MathematicsThis course is a survey of the development of mathematical thought. Prerequisites:
MAT 126 and MAT 300. 
3 
MAT 318 
Discrete MathDiscrete mathematics includes topics that are particularly important in computer science.
This course provides the student with an introduction to elementary combinatorics
(counting methods and graph theory), elementary Boolean algebra and automata theory. 
3 
MAT 321 
Differential EquationsThis course will describe the classical methods for solving first order differential
equations, systems of first order differential equations and equations of higher degree. 
3 
MAT 375 
Math Modeling in BiologyTechniques for expressing biological molecules and concepts as mathematical expressions
for analysis and comparison. 
3 
MAT 389 
Special TopicsThis course represents an opportunity to study a selected topic in mathematics. Topics
originate with faculty or students. 
1 
MAT 402 
Abstract Algebra IIThis course covers vector spaces, extension fields, elements of Galois theory. 
3 
MAT 403 
ProbabilityThis course is an introduction to probability and basic distribution theory, mathematical
expectation, discrete and continuous functions, and generating function. 
3 
MAT 404 
Mathematical StatisticsThe theory of the mathematics of statistics; sampling distributions; point and interval
estimation; theory and application of testing hypotheses, regression and correlation
will all be covered in this course. 
3 
MAT 407 
Senior Seminar IThis course provides an opportunity for dialogue between the senior mathematics major
and faculty and peers on mathematical questions. A research paper of a theoretical
nature is developed by the student and presented in the group. Prerequisites: Senior
status in major or permission of the instructor; Offered as needed. 
2 
MAT 408 
Senior Seminar IIThis course provides an opportunity for dialogue between the senior mathematics major
and faculty and peers on mathematical questions. A research paper of a theoretical
nature is developed by the student and presented in the group. Prerequisites: Senior
status in major or permission of the instructor; Offered as needed. 
2 
MAT 410 
Number TheoryNumber Theory is an introductory course in number theory, divisibility, congruences,
Diophantine equations,continued fractions and Gaussian Integers. Prerequisites: MAT
126 and MAT 300 
3 
MAT 412 
General TopologyThis course covers metric spaces, continuous mappings, topological spaces, compactness,
separation and connectedness. Prerequisites: MAT 301 
3 
MAT 414 
Complex AnalysisThis course studies analytic functions, complex integration and infinite series. Prerequisites:
MAT 202 and MAT 300 
3 
MAT 417 
Introduction to Graph TheoryThis course will provide a first introduction to the theories and applications of
graphs. Topics covered in the course include basic definitions and examples, paths,
cycles, trees, planarity, graph colorings, digraphs and matching. 
3 
MAT 420 
Introduction to Linear ModelsMethod of least squares, correlation, residual analysis, multiple linear regression,and
introduction to generalized linear models. Prerequisite: MAT 404 or permission of
instructor. 
3 
MAT 421 
Design of ExperimentsMethods of designing, conducting, and analyzing experiments, overview of sampling
methods, sampling distributions, ANOVA, sample size calculations, nonparametric methods,
randomized blocks, Latin squares, factorial designs, and the random effects model.

3 
MAT 424 
Numerical AnalysisNumerical solutions to the applications of calculus and linear algebra are covered
in this course. Economic and scientific interpretations of functions are stressed.
Prerequisites: MAT 126 and either CSC 151 or IT 111. 
3 
MAT 443 
Methods of Teaching MathematicsThis course covers current issues in mathematics education, secondary school mathematics
curricula and contemporary approaches to the teaching of mathematics. 
3 
MAT 479 
Data Analysis MethodsTopics will be chosen by the instructor. 
3 
MAT 480 
Statistical ApplicationsTopics will be chosen by the instructor. 
3 
Total  9 
In other academic areas required for major:
Select one of the following two sequences:
Course Number  Course Name  Credits 

PHY 101 
General Physics IThis calculusbased course is an introduction to the principles of kinematics and
dynamics as they apply to both translational and rotational motion. Topics include
Newton's laws, forces, friction, gravity, Kepler's laws, dot products and cross products,
potential and kinetic energy, and momentum. Considerable attention is paid to the
intellectual history that accompanied the emergence of the Newtonian world view. 
3 
PHY 101L 
Gen Physics Lab I

1 
PHY 102 
General PhysicsThis course is a continuation of PHY 101. The course covers statics, fluids, oscillations,
sound and waves, temperature and heat, electricity and magnetism, and geometric optics. 
3 
PHY 102L 
Gen Physics Lab IIThis course is a physics laboratory to accompany PHY 103. The course includes experiments
in mechanics and oscillatory motion. 
1 
Total  8 
OR
Course Number  Course Name  Credits 

PHY 103 
Physics for EngineersThis course is a calculusbased introductory course in physics enriched in material
of relevance to computer science, information technology and engineering students,including
kinematics,Newtonian mechanics,momentum,energy,rotational motion,statics,materials,
fluids and oscillatory motion. 
3 
PHY 103L 
Physics for Engineers Lab 1This course is a physics laboratory to accompany Phy 103. The course includes experiments
in mechanics and oscillatory motion. 
1 
PHY 104 
Physics for Engineers IIThis course is a continuation of PHY 103 and is a calculusbased introductory course
in physics enriched in material of relevance to computer science information technology,
and engineering students, including: wave motion, thermodynamics, heat transfer electricity,
circuits and circuit components, magnetism, electromagnetic radiation and optics. 
3 
PHY 104L 
Physics for Engineers II LabThis physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics,
electricity, magnetism and optics are performed 
1 
Total  8 
Major requirements: 44
Core requirements: 46
Free electives (including core electives): 30
Total: 120
Regulations
Program Requirements
Students within the department must maintain a minimum 2.0 G.P.A. in coursework required for their major and taken at D’Youville College. Students must have a minimum grade of B in MAT 125 and MAT 126. Students who fail to earn this G.P.A. will be placed on probation in the major. Probation may continue for a maximum of three consecutive semesters or a total of four non consecutive semesters. Students who exceed these limits will be dismissed from the major. Students may appeal these decisions on academic status by submitting, in writing to the department chairperson, reasons why exceptional consideration may be justified.
For students wishing to enter the master's program in education/ certification in education: The education program will allow up to three graduate courses to be taken while the student is an undergraduate. If a student wishes to take the entire three courses, two must fall in the senior’s final semester as an undergraduate. Further, it is expected that all juniors and seniors wishing to take graduate courses show substantial evidence of academic progress toward their undergraduate degree. Students may not take graduate courses in lieu of required courses by the program. Students must maintain a 2.75 G.P.A. to take graduate courses.
Admissions
Admission Requirements
The B.A. in mathematics requires a minimum SAT score of 1080 (Math and Verbal) (or ACT of 21), a high school average of 85 percent and a rank in the top 50 percent of one’s class. Transfer students are required to have a minimum G.P.A. of 2.5.
The B.S. in mathematics requires a minimum SAT score of 1170 (Math and Verbal) (or ACT of 24), a high school average of 85 percent and a rank in the top 25 percent of one’s class. Transfer students are required to have a minimum G.P.A. of 3.0.
Students nearly meeting these requirements will be considered for these programs by the department. Students denied immediate acceptance into the mathematics B.S. will be accepted in to the mathematics B.A. program if they meet its requirements. These students may be promoted into the mathematics B.S. program after they have sufficiently demonstrated competence (usually after the completion of two semesters).
Department
Department of Biology and Mathematics
Knowledge of science and mathematics is essential to the development of a liberally educated person. The student with a special interest in biology and mathematics will find a foundation for a wide variety of professional careers. These career opportunities are expanding rapidly in today’s increasingly technological society.
The community of scholars that comprises the faculty of math and natural sciences is committed to excellence in teaching, learning and research. The Biology and Mathematics department faculty encourage scholarship, skeptical inquiry and the free exchange of ideas within the department and in the classroom and laboratory, and promote the application of this knowledge beyond those settings. The department seeks to foster these principles in every one of its students, regardless of academic background, in ways that can both be measured and defy measurement.
All D'Youville students take some science and mathematics courses within the department. The department offers two bachelor’s degrees in biology and two in mathematics. Requirements for these programs are listed in the courses of instruction section of this catalog. The department offers structured minors in analytics, anatomy, bioinformatics, biology, environmental science, mathematics and natural sciences. The department also provides the basic science courses for many programs, including nursing, physician assistant, physical therapy, chiropractic, liberal studies in education and occupational therapy.
Students within the department must maintain a minimum 2.0 grade point average in courses taken at D’Youville in their subject area.