Department Chairperson:Hsinhao Su
Office: Duffy Academic Center 231
Phone: 5085651242
hsu@stonehill.edu
The B.S. in Mathematics requires the completion of 16 courses.
Complete Nine Required Courses
Typically taken Freshmen and Sophomore Years.
Code  Course  Credits 

MTH 125 
Calculus IOffered: Fall and Spring Semesters Calculus of a single variable: functions, limits, derivatives, differentiation rules, applications of derivatives, integrals, techniques of integration, applications of integration, infinite sequences and series, first and second order differential equations. May not receive credit for both MTH 125 and MTH 119.

4 
MTH 126 
Calculus IIOffered: Fall and Spring Semesters Calculus of a single variable: functions, limits, derivatives, differentiation rules, applications of derivatives, integrals, techniques of integration, applications of integration, infinite sequences and series, first and second order differential equations.

4 
MTH 191 
The Language of Mathematics (WID)Offered: Fall Semester Covers basic concepts, reasoning patterns, and the language skills which are fundamental to higher mathematics. These skills include the ability to read and write mathematics, employ common patterns of mathematical thought, and read the write proofs.

4 
MTH 251 
Linear AlgebraOffered: Spring Semester The development of the methods and underlying ideas for solving systems of linear equations. Topics include: vectors, matrices, linear transformations, determinants and eigenvectors. Use of mathematical software MAPLE, in applications.

4 
MTH 261 
Multivariable CalculusOffered: Fall Semester Continuation of the sequence begun in Calculus I and II. Functions of several variables, analytic geometry, vectors, partial derivatives, multiple integration.

4 
MTH 270 
Discrete MathematicsOffered: Spring Semester Sets operations, Countability, Functions, Number Theory, Equivalence Relations, Recurrence Relations, Graphs, Combinatorics, Probability.

3 
CSC 103 
Computer Science IOffered: Fall Semester An introduction to programming and problem solving using Java. Topics include: Input and Output; Selection; Repetition; Methods; Recursion; Arrays; Classes and Objects. Course may be applied to the Data Science program. 
4 
PHY 121 
Physics IOffered: Fall Semester Brief introduction to vectors and basic concepts of calculus; kinematics; Newton’s laws, force, work and power; conservative forces, potential energy; momentum, collisions; rotational motion, angular momentum, torque; oscillations, simple harmonic motion; gravitation and planetary motion; fluid dynamics; kinetic theory of gases, thermodynamics; heat capacity and transport.
Corequisite(s): MTH 125. 
4 
PHY 122 
Physics IIOffered: Spring Semester Brief introduction to the basic concepts of vector calculus, such as line and surface integrals, integral version of Gauss’ theorem and Stokes’ theorem; Coulomb’s law, insulators and metals; electrostatic induction, potential energy; capacitance; currents, resistance, basic circuits, batteries; magnetism and currents; Ampere’s law; motion of free charges in magnetic fields, mass spectroscopy; magnetic induction, Faraday’s law; Maxwell’s equations, electromagnetic waves; geometric and wave optics; light as photons, photoelectric effect.
Corequisite(s): MTH 126. 
4 
Complete Six Additional Courses
Typically taken Junior and Senior Years.
Code  Course  Credits 

Complete Three of the Following Courses  
MTH 351 
Abstract Algebra IOffered: Fall Semester Groups, rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields, Galois theory.

3 
MTH 352 
Abstract Algebra IIOffered: Spring Semester Groups, rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields, Galois theory.

3 
MTH 361 
Real Analysis IOffered: Fall Semester Rigorous development of the theory of calculus of one variable. Topics include: properties of the real line, sequences, series, limits, continuity and uniform continuity. Additional topics from differential and integral calculus of one or more variables.

3 
MTH 362 
Real Analysis IIOffered: Spring Semester Rigorous development of the theory of calculus of one variable. Topics include: properties of the real line, sequences, series, limits, continuity and uniform continuity. Additional topics from differential and integral calculus of one or more variables.

3 
MTH 362  Real Analysis II (if not taken above)  
MTH 363 
Modern GeometryOffered: Fall Semester The axiomatic approach of Hilbert to Euclid’s Elements. Geometry from the viewpoint of rigid transformations. NonEuclidean Geometry. The roles of coordinates, both global and local. Geometrizations of low dimensional manifolds.

3 
MTH 364 
Differential Equations and DynamicsOffered: Alternate Years: Spring 2016, 2018 An introduction to qualitative and quantitative methods for ordinary differential equations. Topics include first and second order equations, existence and uniqueness of solutions, logistic models, planar linear systems (including phase portraits), regular singular points. Other topics selected from: flows, the stable manifold theorem, and Laplace transforms.

3 
MTH 371 
Combinatorics and Graph TheoryOffered: Alternate Years: Fall 2015, 2017 Methods for determining, given some welldefined operation, the number of ways it can be performed. Networks of dots and lines.

3 
MTH 377 
Number TheoryOffered: Alternate Years: Spring 2017, 2019 Mathematical induction, prime numbers, Diophantine equations, congruences, sums of squares.

3 
MTH 384 
Theory of ComputationOffered: Alternate Years: Fall 2016, 2018 For description and semester schedule see CSC 384.

3 
CSC 384  Theory of Computation  
MTH 393 
Numerical AnalysisOffered: Alternate Years: Spring 2016, 2018 Both theoretical and practical problems in the computational aspects of mathematics: approximation of functions, numerical differentiation, solutions to algebraic and differential equations; topics in linear algebra.

3 
CSC 393  Numerical Analysis  
MTH 395 
Probability and Statistics IOffered: Alternate Years: Fall 2016, 2018 Mathematical theory of probability, axioms and basic properties, random variables; continuous and discrete distributions, moments, generating functions, special distributions, law of large numbers, central limit theorem. Use of mathematical software in applications.

3 
MTH 396 
Probability and Statistics IIOffered: Alternate Years: Spring 2017, 2019 Continuation of MTH 395. Theory and application of statistics; random sampling; organization of data; descriptive statistics; sample mean and additional special distributions, the theory of estimators, applications of estimation, hypothesis testing and Regression. Mathematical software is used in applications of statistics.

3 
MTH 399 
Topics in MathematicsOffered: Not Offered 20152016

3 
MTH 490 
Directed Study *Offered: Fall and Spring Semesters Opportunity for upper level students to do advanced work in a specialized area of mathematics. Permission of faculty member directing the project and the department chairperson required.

3 
MTH 496 
Independent Research *Offered: Fall and Spring Semesters Students carry out an independent research project under the direction of a faculty member. The research may be part of an ongoing project being conducted by the faculty member, or the student and faculty member may develop an original project.

3 
Complete a Capstone in Mathematics
Code  Course  Credits 

MTH 420 
Senior Capstone: Mathematical ModelingOffered: Fall Semester Students learn to create models of real world phenomena using mathematical tools such as difference equations, differential equations, lineal algebra, and calculus.

4 
*Note: The thesis is completed in consultation with a faculty member who acts as the student's major advisor. A committee of three faculty members evaluate the thesis. The student also presents the thesis in a colloquium open to the full college community. 