Mathematics is a quantitative field that teaches problem solving and establishes a chain of reasoning for developing hypotheses and anticipating consequences.
Overview & Distinctions
Overview
Mathematics as a major is a good preparation for many types of careers from teaching, to science and medicine, to engineering and business.
The mathematics major leads to a Bachelor of Arts or a Bachelor of Science degree. To meet your specific career goals, add a structured minor to further strengthen your background.
Our interdisciplinary coursework provides an excellent foundation for many career paths. The low number of required courses in the major will leave you with time to explore your interests or to fulfill prerequisite requirements for a graduate program.
BA or BS Options
The Mathematics major offers two degree options:
Bachelor of Science (BA) in Mathematics
 Designed to best prepare students for a career in teaching or applying mathematics.
 This program allows students more free credits to explore other disciplines or further expand their mathematical experience.
Bachelor of Science (BS) in Mathematics
The General Track requires 15 mathematics courses and offers a broad exposure to the rich field of mathematics.
The Statistics Track requires 15 mathematics courses with at least 5 statistically oriented courses. This track could lead to further study or careers in statistics or actuarial science.
The Applied Concentration Track requires 11 mathematics courses and 4 courses in an area of concentration such as physics, chemistry, biology, or computer science.
Why Choose D'Youville?
 Benefit from direct entry into one of D'Youville's joint and combined professional degree programs. You can earn a highlyrespected bachelor's and doctoral degree here at D'Youville in less time than you can at other institutions. After you earn your Bachelor of Science degree, as long as you’ve maintained the necessary academic standards you’ll be automatically admitted to the doctoral program…no reapplying and no GREs required!
 Get individualized attention in small classes, usually around 20 students, and not more than 40. Science labs range from 12 to 15 students per class.
 100% of classes at D'Youville are taught by faculty, not teaching assistants.
 Ace your graduate or professional school entrance exams with D'Youville's inhouse review course. Students at other colleges often pay $1,000 or more to take similar courses from commercial firms. If you're unsure about a career path, your assigned faculty advisor will help you explore your options.
 D'Youville's long commitment to a liberal education means that you'll receive the kind of interdisciplinary education that will give you a rocksolid foundation. Gain skills like problem solving, critical thinking, collaboration, and written, visual, and oral communication — all skills that employers believe are critical to success, no matter what career path you decide to take.
Automatic MeritBased Scholarship Consideration
When you apply for admission at D’Youville, we’ll automatically consider you for our merit scholarships. Undergraduate scholarships can cover as much as 50% of your tuition, and there is no need to fill out a separate application!
Transfer students can qualify for scholarships, as well. Unlike other schools, maintaining your scholarship is easier at D'Youville, because we use realistic GPA requirements to determine your eligibility each year.
Check out the chart below to see if you qualify:
Scholarship  SAT (M & EBRW)* or ACT⁺ / GPA  Tuition Scholarship  Room & Board Waiver  GPA Required to Retain 

President's  88/1170 or 24  $13,000  $3,000  2.75 
Founder's  83/1080 or 21  $10,000  $2,000  2.5 
Dean's  80/980 or 19 Anyone with a 90 GPA can receive this award without test score consideration. 
$8,000  2.25  
Transfer  3.5+  $5,000 
2.5 

Transfer  3.25  3.49  $4,500 
2.5 

Transfer  3.0  3.24  $4,000  2.5  
Transfer  2.75  2.99  $3,500  2.5  
Dillon  93/1360 or 29  100% off  $3,000  2.75 
Buffalo Say Yes  90/1080 or 21  100% off  2.75  
Alumni Kinship  $300$2,000  Must reapply each year. Only open to relatives of D'Youville alumni. 
*Scores are based on the new SAT score format which went into effect in March 2016.
⁺D'Youville only requires that you submit the results from one test.
More information can be found on our scholarships page.
Admission Requirements
Admission Requirements
First Time Freshmen
D'Youville selects students who are academically wellrounded and committed to meeting the challenges of a highquality education. If you have been successful in a traditional college preparatory program in high school, you should be wellprepared for the academic challenges at D'Youville.
Students entering D'Youville as a freshman must meet the following minimum entrance criteria:
Mathematics (BA) Requirements
High School Average  SAT + (or)  ACT 

85  1080  21 
Mathematics (BS) Requirements
High School Average  SAT + (or)  ACT 

85  1170  24 
+ Score is based on the new SAT score format which went into effect in March 2016.
Our admitted freshman class profile:
High school average: 85% attained a B or better
Class rank: 87% of students in the top 50 percent of their class or higher
Test Scores  25th Percentile  75th Percentile  Median 

SAT Evidencebased Reading and Writing*  460  590  530 
SAT Math*  510  590  550 
SAT Composite*  1010  1180  1090 
ACT Composite*  21  25  23 
*These scores reflect the new SAT score format, which went into effect in March 2016.
Transfer students
Students entering D'Youville as a transfer student must meet the following entrance criteria:
Criteria for Admission: Transfer students with a 2.5 cumulative GPA or higher will be considered for admission.
Average Cumulative GPA: 3.26
Review the steps to apply for admission to D'Youville as a transfer student.
Mathematics BA Curriculum
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. 
4.0 
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. 
4.0 
MAT 202 
Calculus IIIThe subject matter includes multivariate calculus, infinite series, differential equations
and matrix algebra. 
4.0 
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. 
3.0 
MAT 301 
Real Analysis IThe study of realvalued functions of one variable properties include continuity,
uniform continuity and differentiation. 
3.0 
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. 
3.0 
MAT 401 
Abstract Algebra IIn this course, you will cover groups, quotient groups, homomorphisms, rings and fields. 
3.0 
MAT  3  
Total  27 
*Courses require a minimum grade of B.
Mathematics Electives (select from the following, minimum 9 credits):
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. 
3.0 
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 
3.0 
MAT 310 
Foundations of MathematicsThis course is a survey of the development of mathematical thought. Prerequisites:
MAT 126 and MAT 300. 
3.0 
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. 
3.0 
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. 
3.0 
MAT 375 
Math Modeling in BiologyTechniques for expressing biological molecules and concepts as mathematical expressions
for analysis and comparison. 
3.0 
MAT 389 
Special TopicsThis course represents an opportunity to study a selected topic in mathematics. Topics
originate with faculty or students. 
1.0 
MAT 402 
Abstract Algebra IIThis course covers vector spaces, extension fields, elements of Galois theory. 
3.0 
MAT 403 
ProbabilityThis course is an introduction to probability and basic distribution theory, mathematical
expectation, discrete and continuous functions, and generating function. 
3.0 
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. 
3.0 
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. 
2.0 
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. 
2.0 
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 
3.0 
MAT 412 
General TopologyThis course covers metric spaces, continuous mappings, topological spaces, compactness,
separation and connectedness. Prerequisites: MAT 301 
3.0 
MAT 414 
Complex AnalysisThis course studies analytic functions, complex integration and infinite series. Prerequisites:
MAT 202 and MAT 300 
3.0 
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. 
3.0 
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. 
3.0 
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.

3.0 
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. 
3.0 
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. 
3.0 
MAT 479 
Data Analysis MethodsTopics will be chosen by the instructor. 
3.0 
MAT 480 
Statistical ApplicationsTopics will be chosen by the instructor. 
3.0 
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. 
3.0 
PHY 101L 
Gen Physics Lab I

1.0 
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. 
3.0 
PHY 102L 
Gen Physics Lab IIThis course is a physics laboratory to accompany PHY 103. The course includes experiments
in mechanics and oscillatory motion. 
1.0 
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. 
3.0 
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. 
1.0 
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. 
3.0 
PHY 104L 
Physics for Engineers II LabThis physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics,
electricity, magnetism and optics are performed 
1.0 
Total  8 
Major requirements: 44
Core requirements: 46
Free electives (including core electives): 30
Total: 120
Mathemtics BS Curriculum
Mathematics
Degree: B.S. (General Track)
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. 
4.0 
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. 
4.0 
MAT 202 
Calculus IIIThe subject matter includes multivariate calculus, infinite series, differential equations
and matrix algebra. 
4.0 
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. 
3.0 
MAT 301 
Real Analysis IThe study of realvalued functions of one variable properties include continuity,
uniform continuity and differentiation. 
3.0 
MAT 302 
Real Analysis IIThis course studies RiemannStieltjes integration and selected topics. 
3.0 
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. 
3.0 
MAT 401 
Abstract Algebra IIn this course, you will cover groups, quotient groups, homomorphisms, rings and fields. 
3.0 
MAT 402 
Abstract Algebra IIThis course covers vector spaces, extension fields, elements of Galois theory. 
3.0 
Total  30 
*Courses require a minimum grade of B.
Mathematics Electives (select from the following, minimum 18 credits):
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. 
3.0 
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 
3.0 
MAT 310 
Foundations of MathematicsThis course is a survey of the development of mathematical thought. Prerequisites:
MAT 126 and MAT 300. 
3.0 
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. 
3.0 
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. 
3.0 
MAT 375 
Math Modeling in BiologyTechniques for expressing biological molecules and concepts as mathematical expressions
for analysis and comparison. 
3.0 
MAT 389 
Special TopicsThis course represents an opportunity to study a selected topic in mathematics. Topics
originate with faculty or students. 
1.0 
MAT 403 
ProbabilityThis course is an introduction to probability and basic distribution theory, mathematical
expectation, discrete and continuous functions, and generating function. 
3.0 
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. 
3.0 
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. 
2.0 
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. 
2.0 
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 
3.0 
MAT 412 
General TopologyThis course covers metric spaces, continuous mappings, topological spaces, compactness,
separation and connectedness. Prerequisites: MAT 301 
3.0 
MAT 414 
Complex AnalysisThis course studies analytic functions, complex integration and infinite series. Prerequisites:
MAT 202 and MAT 300 
3.0 
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. 
3.0 
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. 
3.0 
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.

3.0 
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. 
3.0 
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. 
3.0 
MAT 479 
Data Analysis MethodsTopics will be chosen by the instructor. 
3.0 
MAT 480 
Statistical ApplicationsTopics will be chosen by the instructor. 
3.0 
Total  18 
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. 
3.0 
PHY 101L 
Gen Physics Lab I

1.0 
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. 
3.0 
PHY 102L 
Gen Physics Lab IIThis course is a physics laboratory to accompany PHY 103. The course includes experiments
in mechanics and oscillatory motion. 
1.0 
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. 
3.0 
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. 
1.0 
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. 
3.0 
PHY 104L 
Physics for Engineers II LabThis physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics,
electricity, magnetism and optics are performed 
1.0 
Total  8 
Major requirements: 56
Core requirements : 46
Free electives (including core electives): 18
Total: 120
Mathematics
Degree: B.S. (Statistics Track)
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. 
4.0 
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. 
4.0 
MAT 202 
Calculus IIIThe subject matter includes multivariate calculus, infinite series, differential equations
and matrix algebra. 
4.0 
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. 
3.0 
MAT 301 
Real Analysis IThe study of realvalued functions of one variable properties include continuity,
uniform continuity and differentiation. 
3.0 
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. 
3.0 
MAT 401 
Abstract Algebra IIn this course, you will cover groups, quotient groups, homomorphisms, rings and fields. 
3.0 
MAT 403 
ProbabilityThis course is an introduction to probability and basic distribution theory, mathematical
expectation, discrete and continuous functions, and generating function. 
3.0 
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. 
3.0 
Total  30 
*Courses require a minimum grade of B.
Statistics Electives (select three of the following):
Course Number  Course Name  Credits 

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. 
3.0 
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.

3.0 
MAT 479 
Data Analysis MethodsTopics will be chosen by the instructor. 
3.0 
MAT 480 
Statistical ApplicationsTopics will be chosen by the instructor. 
3.0 
Total  9 
Mathematics Electives (select from the following, minimum 9 credits):
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. 
3.0 
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 
3.0 
MAT 310 
Foundations of MathematicsThis course is a survey of the development of mathematical thought. Prerequisites:
MAT 126 and MAT 300. 
3.0 
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. 
3.0 
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. 
3.0 
MAT 375 
Math Modeling in BiologyTechniques for expressing biological molecules and concepts as mathematical expressions
for analysis and comparison. 
3.0 
MAT 389 
Special TopicsThis course represents an opportunity to study a selected topic in mathematics. Topics
originate with faculty or students. 
1.0 
MAT 402 
Abstract Algebra IIThis course covers vector spaces, extension fields, elements of Galois theory. 
3.0 
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. 
2.0 
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. 
2.0 
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 
3.0 
MAT 412 
General TopologyThis course covers metric spaces, continuous mappings, topological spaces, compactness,
separation and connectedness. Prerequisites: MAT 301 
3.0 
MAT 414 
Complex AnalysisThis course studies analytic functions, complex integration and infinite series. Prerequisites:
MAT 202 and MAT 300 
3.0 
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. 
3.0 
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. 
3.0 
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.

3.0 
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. 
3.0 
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. 
3.0 
MAT 479 
Data Analysis MethodsTopics will be chosen by the instructor. 
3.0 
MAT 480 
Statistical ApplicationsTopics will be chosen by the instructor. 
3.0 
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. 
3.0 
PHY 101L 
Gen Physics Lab I

1.0 
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. 
3.0 
PHY 102L 
Gen Physics Lab IIThis course is a physics laboratory to accompany PHY 103. The course includes experiments
in mechanics and oscillatory motion. 
1.0 
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. 
3.0 
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. 
1.0 
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. 
3.0 
PHY 104L 
Physics for Engineers II LabThis physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics,
electricity, magnetism and optics are performed 
1.0 
Total  8 
Major requirements: 56
Core requirements: 46
Free electives (including core electives): 18
Total: 120
Mathematics
Degree: B.S. (Applied Concentration Track)
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. 
4.0 
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. 
4.0 
MAT 202 
Calculus IIIThe subject matter includes multivariate calculus, infinite series, differential equations
and matrix algebra. 
4.0 
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. 
3.0 
MAT 301 
Real Analysis IThe study of realvalued functions of one variable properties include continuity,
uniform continuity and differentiation. 
3.0 
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. 
3.0 
MAT 401 
Abstract Algebra IIn this course, you will cover groups, quotient groups, homomorphisms, rings and fields. 
3.0 
Total  24 
*Courses require a minimum grade of B.
Mathematics Electives (select from the following, minimum 12 credits):
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. 
3.0 
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 
3.0 
MAT 310 
Foundations of MathematicsThis course is a survey of the development of mathematical thought. Prerequisites:
MAT 126 and MAT 300. 
3.0 
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. 
3.0 
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. 
3.0 
MAT 375 
Math Modeling in BiologyTechniques for expressing biological molecules and concepts as mathematical expressions
for analysis and comparison. 
3.0 
MAT 389 
Special TopicsThis course represents an opportunity to study a selected topic in mathematics. Topics
originate with faculty or students. 
1.0 
MAT 402 
Abstract Algebra IIThis course covers vector spaces, extension fields, elements of Galois theory. 
3.0 
MAT 403 
ProbabilityThis course is an introduction to probability and basic distribution theory, mathematical
expectation, discrete and continuous functions, and generating function. 
3.0 
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. 
3.0 
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. 
2.0 
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. 
2.0 
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 
3.0 
MAT 412 
General TopologyThis course covers metric spaces, continuous mappings, topological spaces, compactness,
separation and connectedness. Prerequisites: MAT 301 
3.0 
MAT 414 
Complex AnalysisThis course studies analytic functions, complex integration and infinite series. Prerequisites:
MAT 202 and MAT 300 
3.0 
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. 
3.0 
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. 
3.0 
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.

3.0 
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. 
3.0 
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. 
3.0 
MAT 479 
Data Analysis MethodsTopics will be chosen by the instructor. 
3.0 
MAT 480 
Statistical ApplicationsTopics will be chosen by the instructor. 
3.0 
Total  12 
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. 
3.0 
PHY 101L 
Gen Physics Lab I

1.0 
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. 
3.0 
PHY 102L 
Gen Physics Lab IIThis course is a physics laboratory to accompany PHY 103. The course includes experiments
in mechanics and oscillatory motion. 
1.0 
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. 
3.0 
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. 
1.0 
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. 
3.0 
PHY 104L 
Physics for Engineers II LabThis physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics,
electricity, magnetism and optics are performed 
1.0 
Total  8 
Four courses in the area of concentration* (200+ level): 1216
Major requirements: 5660
Core requirements: 46
Free electives (including core electives): 1814
Total: 120
*Concentration courses must be preapproved by the Mathematics Curriculum Committee and the chair of the department (Suggested concentrations: analytics, biology, chemistry, computer science or physics).
Careers
Careers
Strong mathematics skills are a valuable commodity and highly sought after in the job market. At D'Youville we'll help you build on your strengths and help you discover the career path that is right for you. Because a bachelor's degree in mathematics can lead to many different career possibilities, D'Youville's program offers flexibility so that you can explore related areas and find your career interest.
The most traditional career in mathematics is to become teacher. Mathematics teachers are needed at the grade school, high school and college levels. D'Youville's bachelor's degree in mathematics will fulfill the undergraduate math requirements for each of these teaching levels, so that you can decide after you begin your program which type of teaching certification you're interested in pursuing.
Other careers are more mathematically oriented, like becoming a mathematician, statistician, actuary or operations research analyst. Other opportunities lead to more businessoriented careers, for example becoming a marketing, research or financial analyst.
Alumni Success
 Jamal Williams '15 has degrees in Math and Biology and is now in graduate school at Buffalo State College.
 Krista Pundt '11 has degrees in Math and Biology and is now working towards a PhD in Pharmacology and Therapeutics at Roswell Park Cancer Institute.
 Cynthia Carney '11 also earned a degree in Education and now teaches for the Buffalo Public Schools.
 Joan Bernecki '11 has degrees in Math and Education and is now teaching in Buffalo, NY.
 Melissa Kanalley '10 obtained a MS in Education and is now the Executive Assistant for PGC Basketball.
 Jessica Phillippi '10 earned a MBA from Ashford University and is now the Export Traffic Dispatcher at Baillie Lumber.
Internships
Internships
The Department of Biology and Mathematics strongly encourages students to perform research internships as part of the completion of their undergraduate degree. Our friendly and engaging faculty has a diverse set of research interests, ranging from bioinformatics and analytics to animal behavior and human anatomy, so finding the research project that sparks your curiosity couldn’t be easier.
Research projects engage students in new and exciting scientific discoveries that allow them to gain knowledge and experience that is beneficial in applying to graduate programs.
Involvement in research as an undergraduate doesn’t just end at the bench – students from Department of Biology and Mathematics have presented their data in local, national, and international meetings. These experiences help to broaden the horizons of our students and to develop contacts and relationships with researchers from around the globe.