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 highly-respected 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 in-house 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 rock-solid 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 Merit-Based 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 well-rounded and committed to meeting the challenges of a high-quality education. If you have been successful in a traditional college preparatory program in high school, you should be well-prepared 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 Evidence-based 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
Course Requirements for the Major: Basic theory of functions, limits, continuity, derivatives and integrals are taught.
Some emphasis is placed on the structure of the real number system. The course explores the basic techniques for integration as well as elementary transcendental
functions and the applications of differential and integral calculus. The subject matter includes multivariate calculus, infinite series, differential equations
and matrix algebra. This 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. The study of real-valued functions of one variable properties include continuity,
uniform continuity and differentiation. An 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 higher-level programming language
is presupposed. Applications include linear programming, graph theory, least squares,
Markov chains and differential equations. In this course, you will cover groups, quotient groups, homomorphisms, rings and fields. *Courses require a minimum grade of B-. Mathematics Electives (select from the following, minimum 9 credits): This course is a study of symmetry and isometry in two- and three-dimensional space
from both the Euclidean and Cartesian viewpoints. Inversion geometries will also be
covered as well as group of transformations. This course covers affine, projective, absolute and hyperbolic geometries as well
as vectors and differential geometries. Students will cover some topological problems.
Prerequisite: MAT 303 This course is a survey of the development of mathematical thought. Prerequisites:
MAT 126 and MAT 300. Discrete 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. This course will describe the classical methods for solving first order differential
equations, systems of first order differential equations and equations of higher degree. Techniques for expressing biological molecules and concepts as mathematical expressions
for analysis and comparison. This course represents an opportunity to study a selected topic in mathematics. Topics
originate with faculty or students. This course covers vector spaces, extension fields, elements of Galois theory. This course is an introduction to probability and basic distribution theory, mathematical
expectation, discrete and continuous functions, and generating function. The 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. This 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. This 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. Number Theory is an introductory course in number theory, divisibility, congruences,
Diophantine equations,continued fractions and Gaussian Integers. Prerequisites: MAT
126 and MAT 300 This course covers metric spaces, continuous mappings, topological spaces, compactness,
separation and connectedness. Prerequisites: MAT 301 This course studies analytic functions, complex integration and infinite series. Prerequisites:
MAT 202 and MAT 300 This 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. Method of least squares, correlation, residual analysis, multiple linear regression,and
introduction to generalized linear models. Prerequisite: MAT 404 or permission of
instructor. Methods 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.
Numerical 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. This course covers current issues in mathematics education, secondary school mathematics
curricula and contemporary approaches to the teaching of mathematics. Topics will be chosen by the instructor. Topics will be chosen by the instructor. Select one of the following two sequences: This calculus-based 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. This 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. This course is a physics laboratory to accompany PHY 103. The course includes experiments
in mechanics and oscillatory motion. OR This course is a calculus-based 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. This course is a physics laboratory to accompany Phy 103. The course includes experiments
in mechanics and oscillatory motion. This course is a continuation of PHY 103 and is a calculus-based 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. This physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics,
electricity, magnetism and optics are performed Major requirements: 44Mathematics
Degree: B.A.
Course Number
Course Name
Credits
MAT 125
Calculus I
Prerequisites:
MAT-122 or have an SAT Math Sub-score 600+ or ACT 26+.
4.0
MAT 126
Calculus II
Prerequisites:
MAT-125
4.0
MAT 202
Calculus III
Offered in: Fall Only
Prerequisites:
MAT-126
4.0
MAT 300
Introduction to Mathematical Reasoning
Prerequisites:
MAT-126
3.0
MAT 301
Real Analysis I
Offered in: Fall Only
Prerequisites:
Mat-202 Mat-300
3.0
MAT 315
Linear Algebra
Prerequisites:
Mat-126 Mat-300, CSC-151 or IT-111
3.0
MAT 401
Abstract Algebra I
Offered in: Fall Only
Prerequisites:
Mat-126 Mat-300
3.0
MAT
3
Total
27
Course Number
Course Name
Credits
MAT 303
Foundations of Geometry I
Prerequisites:
Mat-202 Mat-300
3.0
MAT 304
Foundations of Geometry II
Prerequisites:
MAT-303
3.0
MAT 310
Foundations of Mathematics
Prerequisites:
MAT-126 MAT-300
3.0
MAT 318
Discrete Math
Prerequisites:
Mat-126
3.0
MAT 321
Differential Equations
Prerequisites:
Mat-126 Mat-300
3.0
MAT 375
Math Modeling in Biology
Prerequisites:
(BIO-102 BIO-102L) or (BIO-303 BIO-303L), MAT-125, 1 computer science (CSC or IT) course. CSC-151 or IT-111 prefered.
3.0
MAT 389
Special Topics
Prerequisites:
None
1.0
MAT 402
Abstract Algebra II
Offered in: Spring Only
Prerequisites:
Mat-401
3.0
MAT 403
Probability
Prerequisites:
Mat-126 Mat-300
3.0
MAT 404
Mathematical Statistics
Prerequisites:
Mat-403
3.0
MAT 407
Senior Seminar I
Prerequisites:
None
2.0
MAT 408
Senior Seminar II
Prerequisites:
None
2.0
MAT 410
Number Theory
Prerequisites:
MAT-126 MAT-300
3.0
MAT 412
General Topology
Prerequisites:
MAT-301
3.0
MAT 414
Complex Analysis
Prerequisites:
MAT-202 MAT-300
3.0
MAT 417
Introduction to Graph Theory
Prerequisites:
Mat-126 Mat-300
3.0
MAT 420
Introduction to Linear Models
Prerequisites:
MAT-404 or Permission of Instructor
3.0
MAT 421
Design of Experiments
Prerequisites:
MAT-404 or Permission of Instructor
3.0
MAT 424
Numerical Analysis
Prerequisites:
MAT-126, CSC-151 or IT-111
3.0
MAT 443
Methods of Teaching Mathematics
Prerequisites:
Mat-126 Mat-300
3.0
MAT 479
Data Analysis Methods
Prerequisites:
Mat-126 Mat-300
3.0
MAT 480
Statistical Applications
Prerequisites:
MAT-126 MAT-300 MAT-479
3.0
Total
9
In other academic areas required for major:
Course Number
Course Name
Credits
PHY 101
General Physics I
Prerequisites:
Mat-125, Phy-101L
3.0
PHY 101L
Gen Physics Lab I
Prerequisites:
None
1.0
PHY 102
General Physics
Prerequisites:
Phy-101, Mat-126, Phy-102L
3.0
PHY 102L
Gen Physics Lab II
Prerequisites:
None
1.0
Total
8
Course Number
Course Name
Credits
PHY 103
Physics for Engineers
Prerequisites:
Mat-125, Phy-103L
3.0
PHY 103L
Physics for Engineers Lab 1
Prerequisites:
Mat-125 Phy-103, Mat-125 Phy-103
1.0
PHY 104
Physics for Engineers II
Prerequisites:
Phy-103, Mat-126, Phy-104L
3.0
PHY 104L
Physics for Engineers II Lab
Prerequisites:
Mat-125 Phy-103, Phy-104
1.0
Total
8
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 real-valued functions of one variable properties include continuity,
uniform continuity and differentiation. |
3.0 |
| MAT 302 |
Real Analysis IIThis course studies Riemann-Stieltjes 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 higher-level 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 three-dimensional 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 calculus-based 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 calculus-based 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 calculus-based 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 real-valued 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 higher-level 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 three-dimensional 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 calculus-based 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 calculus-based 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 calculus-based 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 real-valued 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 higher-level 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 three-dimensional 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 calculus-based 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 calculus-based 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 calculus-based 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): 12-16
Major requirements: 56-60
Core requirements: 46
Free electives (including core electives): 18-14
Total: 120
*Concentration courses must be pre-approved 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 business-oriented 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.