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Mathematics (BA or BS), 4-Year

Students in a mathematics class at D'Youville

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

Mathematics
Degree: B.A.

Course Requirements for the Major:

Course Number Course Name Credits
MAT 125

Calculus I

Basic theory of functions, limits, continuity, derivatives and integrals are taught. Some emphasis is placed on the structure of the real number system.

Prerequisites: MAT-122 or have an SAT Math Sub-score 600+ or ACT 26+.

4.0
MAT 126

Calculus II

The course explores the basic techniques for integration as well as elementary transcendental functions and the applications of differential and integral calculus.

Prerequisites: MAT-125

4.0
MAT 202

Calculus III

The subject matter includes multivariate calculus, infinite series, differential equations and matrix algebra.
Offered in: Fall Only
Prerequisites: MAT-126

4.0
MAT 300

Introduction to Mathematical Reasoning

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.

Prerequisites: MAT-126

3.0
MAT 301

Real Analysis I

The study of real-valued functions of one variable properties include continuity, uniform continuity and differentiation.
Offered in: Fall Only
Prerequisites: Mat-202 Mat-300

3.0
MAT 315

Linear Algebra

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.

Prerequisites: Mat-126 Mat-300, CSC-151 or IT-111

3.0
MAT 401

Abstract Algebra I

In this course, you will cover groups, quotient groups, homomorphisms, rings and fields.
Offered in: Fall Only
Prerequisites: Mat-126 Mat-300

3.0
MAT

One Elective from MAT 302 or MAT 402

Choose one elective from MAT 302 or MAT 402
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 I

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.

Prerequisites: Mat-202 Mat-300

3.0
MAT 304

Foundations of Geometry II

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

Prerequisites: MAT-303

3.0
MAT 310

Foundations of Mathematics

This course is a survey of the development of mathematical thought. Prerequisites: MAT 126 and MAT 300.

Prerequisites: MAT-126 MAT-300

3.0
MAT 318

Discrete Math

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.

Prerequisites: Mat-126

3.0
MAT 321

Differential Equations

This course will describe the classical methods for solving first order differential equations, systems of first order differential equations and equations of higher degree.

Prerequisites: Mat-126 Mat-300

3.0
MAT 375

Math Modeling in Biology

Techniques for expressing biological molecules and concepts as mathematical expressions for analysis and comparison.

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

This course represents an opportunity to study a selected topic in mathematics. Topics originate with faculty or students.

Prerequisites: None

1.0
MAT 402

Abstract Algebra II

This course covers vector spaces, extension fields, elements of Galois theory.
Offered in: Spring Only
Prerequisites: Mat-401

3.0
MAT 403

Probability

This course is an introduction to probability and basic distribution theory, mathematical expectation, discrete and continuous functions, and generating function.

Prerequisites: Mat-126 Mat-300

3.0
MAT 404

Mathematical Statistics

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.

Prerequisites: Mat-403

3.0
MAT 407

Senior Seminar I

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.

Prerequisites: None

2.0
MAT 408

Senior Seminar II

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.

Prerequisites: None

2.0
MAT 410

Number Theory

Number Theory is an introductory course in number theory, divisibility, congruences, Diophantine equations,continued fractions and Gaussian Integers. Prerequisites: MAT 126 and MAT 300

Prerequisites: MAT-126 MAT-300

3.0
MAT 412

General Topology

This course covers metric spaces, continuous mappings, topological spaces, compactness, separation and connectedness. Prerequisites: MAT 301

Prerequisites: MAT-301

3.0
MAT 414

Complex Analysis

This course studies analytic functions, complex integration and infinite series. Prerequisites: MAT 202 and MAT 300

Prerequisites: MAT-202 MAT-300

3.0
MAT 417

Introduction to Graph Theory

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.

Prerequisites: Mat-126 Mat-300

3.0
MAT 420

Introduction to Linear Models

Method of least squares, correlation, residual analysis, multiple linear regression,and introduction to generalized linear models. Prerequisite: MAT 404 or permission of instructor.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 421

Design of Experiments

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.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 424

Numerical Analysis

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.

Prerequisites: MAT-126, CSC-151 or IT-111

3.0
MAT 443

Methods of Teaching Mathematics

This course covers current issues in mathematics education, secondary school mathematics curricula and contemporary approaches to the teaching of mathematics.

Prerequisites: Mat-126 Mat-300

3.0
MAT 479

Data Analysis Methods

Topics will be chosen by the instructor.

Prerequisites: Mat-126 Mat-300

3.0
MAT 480

Statistical Applications

Topics will be chosen by the instructor.

Prerequisites: MAT-126 MAT-300 MAT-479

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 I

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.

Prerequisites: Mat-125, Phy-101L

3.0
PHY 101L

Gen Physics Lab I



Prerequisites: None

1.0
PHY 102

General Physics

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.

Prerequisites: Phy-101, Mat-126, Phy-102L

3.0
PHY 102L

Gen Physics Lab II

This course is a physics laboratory to accompany PHY 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: None

1.0
Total 8

OR

Course Number Course Name Credits
PHY 103

Physics for Engineers

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.

Prerequisites: Mat-125, Phy-103L

3.0
PHY 103L

Physics for Engineers Lab 1

This course is a physics laboratory to accompany Phy 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: Mat-125 Phy-103, Mat-125 Phy-103

1.0
PHY 104

Physics for Engineers II

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.

Prerequisites: Phy-103, Mat-126, Phy-104L

3.0
PHY 104L

Physics for Engineers II Lab

This physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics, electricity, magnetism and optics are performed

Prerequisites: Mat-125 Phy-103, Phy-104

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 I

Basic theory of functions, limits, continuity, derivatives and integrals are taught. Some emphasis is placed on the structure of the real number system.

Prerequisites: MAT-122 or have an SAT Math Sub-score 600+ or ACT 26+.

4.0
MAT 126

Calculus II

The course explores the basic techniques for integration as well as elementary transcendental functions and the applications of differential and integral calculus.

Prerequisites: MAT-125

4.0
MAT 202

Calculus III

The subject matter includes multivariate calculus, infinite series, differential equations and matrix algebra.
Offered in: Fall Only
Prerequisites: MAT-126

4.0
MAT 300

Introduction to Mathematical Reasoning

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.

Prerequisites: MAT-126

3.0
MAT 301

Real Analysis I

The study of real-valued functions of one variable properties include continuity, uniform continuity and differentiation.
Offered in: Fall Only
Prerequisites: Mat-202 Mat-300

3.0
MAT 302

Real Analysis II

This course studies Riemann-Stieltjes integration and selected topics.
Offered in: Spring Only
Prerequisites: Mat-301

3.0
MAT 315

Linear Algebra

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.

Prerequisites: Mat-126 Mat-300, CSC-151 or IT-111

3.0
MAT 401

Abstract Algebra I

In this course, you will cover groups, quotient groups, homomorphisms, rings and fields.
Offered in: Fall Only
Prerequisites: Mat-126 Mat-300

3.0
MAT 402

Abstract Algebra II

This course covers vector spaces, extension fields, elements of Galois theory.
Offered in: Spring Only
Prerequisites: Mat-401

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 I

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.

Prerequisites: Mat-202 Mat-300

3.0
MAT 304

Foundations of Geometry II

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

Prerequisites: MAT-303

3.0
MAT 310

Foundations of Mathematics

This course is a survey of the development of mathematical thought. Prerequisites: MAT 126 and MAT 300.

Prerequisites: MAT-126 MAT-300

3.0
MAT 318

Discrete Math

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.

Prerequisites: Mat-126

3.0
MAT 321

Differential Equations

This course will describe the classical methods for solving first order differential equations, systems of first order differential equations and equations of higher degree.

Prerequisites: Mat-126 Mat-300

3.0
MAT 375

Math Modeling in Biology

Techniques for expressing biological molecules and concepts as mathematical expressions for analysis and comparison.

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

This course represents an opportunity to study a selected topic in mathematics. Topics originate with faculty or students.

Prerequisites: None

1.0
MAT 403

Probability

This course is an introduction to probability and basic distribution theory, mathematical expectation, discrete and continuous functions, and generating function.

Prerequisites: Mat-126 Mat-300

3.0
MAT 404

Mathematical Statistics

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.

Prerequisites: Mat-403

3.0
MAT 407

Senior Seminar I

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.

Prerequisites: None

2.0
MAT 408

Senior Seminar II

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.

Prerequisites: None

2.0
MAT 410

Number Theory

Number Theory is an introductory course in number theory, divisibility, congruences, Diophantine equations,continued fractions and Gaussian Integers. Prerequisites: MAT 126 and MAT 300

Prerequisites: MAT-126 MAT-300

3.0
MAT 412

General Topology

This course covers metric spaces, continuous mappings, topological spaces, compactness, separation and connectedness. Prerequisites: MAT 301

Prerequisites: MAT-301

3.0
MAT 414

Complex Analysis

This course studies analytic functions, complex integration and infinite series. Prerequisites: MAT 202 and MAT 300

Prerequisites: MAT-202 MAT-300

3.0
MAT 417

Introduction to Graph Theory

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.

Prerequisites: Mat-126 Mat-300

3.0
MAT 420

Introduction to Linear Models

Method of least squares, correlation, residual analysis, multiple linear regression,and introduction to generalized linear models. Prerequisite: MAT 404 or permission of instructor.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 421

Design of Experiments

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.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 424

Numerical Analysis

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.

Prerequisites: MAT-126, CSC-151 or IT-111

3.0
MAT 443

Methods of Teaching Mathematics

This course covers current issues in mathematics education, secondary school mathematics curricula and contemporary approaches to the teaching of mathematics.

Prerequisites: Mat-126 Mat-300

3.0
MAT 479

Data Analysis Methods

Topics will be chosen by the instructor.

Prerequisites: Mat-126 Mat-300

3.0
MAT 480

Statistical Applications

Topics will be chosen by the instructor.

Prerequisites: MAT-126 MAT-300 MAT-479

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 I

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.

Prerequisites: Mat-125, Phy-101L

3.0
PHY 101L

Gen Physics Lab I



Prerequisites: None

1.0
PHY 102

General Physics

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.

Prerequisites: Phy-101, Mat-126, Phy-102L

3.0
PHY 102L

Gen Physics Lab II

This course is a physics laboratory to accompany PHY 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: None

1.0
Total 8

OR

Course Number Course Name Credits
PHY 103

Physics for Engineers

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.

Prerequisites: Mat-125, Phy-103L

3.0
PHY 103L

Physics for Engineers Lab 1

This course is a physics laboratory to accompany Phy 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: Mat-125 Phy-103, Mat-125 Phy-103

1.0
PHY 104

Physics for Engineers II

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.

Prerequisites: Phy-103, Mat-126, Phy-104L

3.0
PHY 104L

Physics for Engineers II Lab

This physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics, electricity, magnetism and optics are performed

Prerequisites: Mat-125 Phy-103, Phy-104

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 I

Basic theory of functions, limits, continuity, derivatives and integrals are taught. Some emphasis is placed on the structure of the real number system.

Prerequisites: MAT-122 or have an SAT Math Sub-score 600+ or ACT 26+.

4.0
MAT 126

Calculus II

The course explores the basic techniques for integration as well as elementary transcendental functions and the applications of differential and integral calculus.

Prerequisites: MAT-125

4.0
MAT 202

Calculus III

The subject matter includes multivariate calculus, infinite series, differential equations and matrix algebra.
Offered in: Fall Only
Prerequisites: MAT-126

4.0
MAT 300

Introduction to Mathematical Reasoning

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.

Prerequisites: MAT-126

3.0
MAT 301

Real Analysis I

The study of real-valued functions of one variable properties include continuity, uniform continuity and differentiation.
Offered in: Fall Only
Prerequisites: Mat-202 Mat-300

3.0
MAT 315

Linear Algebra

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.

Prerequisites: Mat-126 Mat-300, CSC-151 or IT-111

3.0
MAT 401

Abstract Algebra I

In this course, you will cover groups, quotient groups, homomorphisms, rings and fields.
Offered in: Fall Only
Prerequisites: Mat-126 Mat-300

3.0
MAT 403

Probability

This course is an introduction to probability and basic distribution theory, mathematical expectation, discrete and continuous functions, and generating function.

Prerequisites: Mat-126 Mat-300

3.0
MAT 404

Mathematical Statistics

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.

Prerequisites: Mat-403

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 Models

Method of least squares, correlation, residual analysis, multiple linear regression,and introduction to generalized linear models. Prerequisite: MAT 404 or permission of instructor.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 421

Design of Experiments

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.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 479

Data Analysis Methods

Topics will be chosen by the instructor.

Prerequisites: Mat-126 Mat-300

3.0
MAT 480

Statistical Applications

Topics will be chosen by the instructor.

Prerequisites: MAT-126 MAT-300 MAT-479

3.0
Total 9


Mathematics Electives (select from the following, minimum 9 credits):

Course Number Course Name Credits
MAT 303

Foundations of Geometry I

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.

Prerequisites: Mat-202 Mat-300

3.0
MAT 304

Foundations of Geometry II

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

Prerequisites: MAT-303

3.0
MAT 310

Foundations of Mathematics

This course is a survey of the development of mathematical thought. Prerequisites: MAT 126 and MAT 300.

Prerequisites: MAT-126 MAT-300

3.0
MAT 318

Discrete Math

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.

Prerequisites: Mat-126

3.0
MAT 321

Differential Equations

This course will describe the classical methods for solving first order differential equations, systems of first order differential equations and equations of higher degree.

Prerequisites: Mat-126 Mat-300

3.0
MAT 375

Math Modeling in Biology

Techniques for expressing biological molecules and concepts as mathematical expressions for analysis and comparison.

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

This course represents an opportunity to study a selected topic in mathematics. Topics originate with faculty or students.

Prerequisites: None

1.0
MAT 402

Abstract Algebra II

This course covers vector spaces, extension fields, elements of Galois theory.
Offered in: Spring Only
Prerequisites: Mat-401

3.0
MAT 407

Senior Seminar I

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.

Prerequisites: None

2.0
MAT 408

Senior Seminar II

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.

Prerequisites: None

2.0
MAT 410

Number Theory

Number Theory is an introductory course in number theory, divisibility, congruences, Diophantine equations,continued fractions and Gaussian Integers. Prerequisites: MAT 126 and MAT 300

Prerequisites: MAT-126 MAT-300

3.0
MAT 412

General Topology

This course covers metric spaces, continuous mappings, topological spaces, compactness, separation and connectedness. Prerequisites: MAT 301

Prerequisites: MAT-301

3.0
MAT 414

Complex Analysis

This course studies analytic functions, complex integration and infinite series. Prerequisites: MAT 202 and MAT 300

Prerequisites: MAT-202 MAT-300

3.0
MAT 417

Introduction to Graph Theory

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.

Prerequisites: Mat-126 Mat-300

3.0
MAT 420

Introduction to Linear Models

Method of least squares, correlation, residual analysis, multiple linear regression,and introduction to generalized linear models. Prerequisite: MAT 404 or permission of instructor.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 421

Design of Experiments

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.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 424

Numerical Analysis

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.

Prerequisites: MAT-126, CSC-151 or IT-111

3.0
MAT 443

Methods of Teaching Mathematics

This course covers current issues in mathematics education, secondary school mathematics curricula and contemporary approaches to the teaching of mathematics.

Prerequisites: Mat-126 Mat-300

3.0
MAT 479

Data Analysis Methods

Topics will be chosen by the instructor.

Prerequisites: Mat-126 Mat-300

3.0
MAT 480

Statistical Applications

Topics will be chosen by the instructor.

Prerequisites: MAT-126 MAT-300 MAT-479

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 I

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.

Prerequisites: Mat-125, Phy-101L

3.0
PHY 101L

Gen Physics Lab I



Prerequisites: None

1.0
PHY 102

General Physics

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.

Prerequisites: Phy-101, Mat-126, Phy-102L

3.0
PHY 102L

Gen Physics Lab II

This course is a physics laboratory to accompany PHY 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: None

1.0
Total 8

OR

Course Number Course Name Credits
PHY 103

Physics for Engineers

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.

Prerequisites: Mat-125, Phy-103L

3.0
PHY 103L

Physics for Engineers Lab 1

This course is a physics laboratory to accompany Phy 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: Mat-125 Phy-103, Mat-125 Phy-103

1.0
PHY 104

Physics for Engineers II

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.

Prerequisites: Phy-103, Mat-126, Phy-104L

3.0
PHY 104L

Physics for Engineers II Lab

This physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics, electricity, magnetism and optics are performed

Prerequisites: Mat-125 Phy-103, Phy-104

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 I

Basic theory of functions, limits, continuity, derivatives and integrals are taught. Some emphasis is placed on the structure of the real number system.

Prerequisites: MAT-122 or have an SAT Math Sub-score 600+ or ACT 26+.

4.0
MAT 126

Calculus II

The course explores the basic techniques for integration as well as elementary transcendental functions and the applications of differential and integral calculus.

Prerequisites: MAT-125

4.0
MAT 202

Calculus III

The subject matter includes multivariate calculus, infinite series, differential equations and matrix algebra.
Offered in: Fall Only
Prerequisites: MAT-126

4.0
MAT 300

Introduction to Mathematical Reasoning

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.

Prerequisites: MAT-126

3.0
MAT 301

Real Analysis I

The study of real-valued functions of one variable properties include continuity, uniform continuity and differentiation.
Offered in: Fall Only
Prerequisites: Mat-202 Mat-300

3.0
MAT 315

Linear Algebra

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.

Prerequisites: Mat-126 Mat-300, CSC-151 or IT-111

3.0
MAT 401

Abstract Algebra I

In this course, you will cover groups, quotient groups, homomorphisms, rings and fields.
Offered in: Fall Only
Prerequisites: Mat-126 Mat-300

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 I

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.

Prerequisites: Mat-202 Mat-300

3.0
MAT 304

Foundations of Geometry II

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

Prerequisites: MAT-303

3.0
MAT 310

Foundations of Mathematics

This course is a survey of the development of mathematical thought. Prerequisites: MAT 126 and MAT 300.

Prerequisites: MAT-126 MAT-300

3.0
MAT 318

Discrete Math

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.

Prerequisites: Mat-126

3.0
MAT 321

Differential Equations

This course will describe the classical methods for solving first order differential equations, systems of first order differential equations and equations of higher degree.

Prerequisites: Mat-126 Mat-300

3.0
MAT 375

Math Modeling in Biology

Techniques for expressing biological molecules and concepts as mathematical expressions for analysis and comparison.

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

This course represents an opportunity to study a selected topic in mathematics. Topics originate with faculty or students.

Prerequisites: None

1.0
MAT 402

Abstract Algebra II

This course covers vector spaces, extension fields, elements of Galois theory.
Offered in: Spring Only
Prerequisites: Mat-401

3.0
MAT 403

Probability

This course is an introduction to probability and basic distribution theory, mathematical expectation, discrete and continuous functions, and generating function.

Prerequisites: Mat-126 Mat-300

3.0
MAT 404

Mathematical Statistics

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.

Prerequisites: Mat-403

3.0
MAT 407

Senior Seminar I

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.

Prerequisites: None

2.0
MAT 408

Senior Seminar II

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.

Prerequisites: None

2.0
MAT 410

Number Theory

Number Theory is an introductory course in number theory, divisibility, congruences, Diophantine equations,continued fractions and Gaussian Integers. Prerequisites: MAT 126 and MAT 300

Prerequisites: MAT-126 MAT-300

3.0
MAT 412

General Topology

This course covers metric spaces, continuous mappings, topological spaces, compactness, separation and connectedness. Prerequisites: MAT 301

Prerequisites: MAT-301

3.0
MAT 414

Complex Analysis

This course studies analytic functions, complex integration and infinite series. Prerequisites: MAT 202 and MAT 300

Prerequisites: MAT-202 MAT-300

3.0
MAT 417

Introduction to Graph Theory

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.

Prerequisites: Mat-126 Mat-300

3.0
MAT 420

Introduction to Linear Models

Method of least squares, correlation, residual analysis, multiple linear regression,and introduction to generalized linear models. Prerequisite: MAT 404 or permission of instructor.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 421

Design of Experiments

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.

Prerequisites: MAT-404 or Permission of Instructor

3.0
MAT 424

Numerical Analysis

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.

Prerequisites: MAT-126, CSC-151 or IT-111

3.0
MAT 443

Methods of Teaching Mathematics

This course covers current issues in mathematics education, secondary school mathematics curricula and contemporary approaches to the teaching of mathematics.

Prerequisites: Mat-126 Mat-300

3.0
MAT 479

Data Analysis Methods

Topics will be chosen by the instructor.

Prerequisites: Mat-126 Mat-300

3.0
MAT 480

Statistical Applications

Topics will be chosen by the instructor.

Prerequisites: MAT-126 MAT-300 MAT-479

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 I

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.

Prerequisites: Mat-125, Phy-101L

3.0
PHY 101L

Gen Physics Lab I



Prerequisites: None

1.0
PHY 102

General Physics

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.

Prerequisites: Phy-101, Mat-126, Phy-102L

3.0
PHY 102L

Gen Physics Lab II

This course is a physics laboratory to accompany PHY 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: None

1.0
Total 8

OR

Course Number Course Name Credits
PHY 103

Physics for Engineers

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.

Prerequisites: Mat-125, Phy-103L

3.0
PHY 103L

Physics for Engineers Lab 1

This course is a physics laboratory to accompany Phy 103. The course includes experiments in mechanics and oscillatory motion.

Prerequisites: Mat-125 Phy-103, Mat-125 Phy-103

1.0
PHY 104

Physics for Engineers II

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.

Prerequisites: Phy-103, Mat-126, Phy-104L

3.0
PHY 104L

Physics for Engineers II Lab

This physics laboratory accompanies PHY 104. Experiments in wave motion, thermodynamics, electricity, magnetism and optics are performed

Prerequisites: Mat-125 Phy-103, Phy-104

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.

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