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Pau Atela writes math problems on blackboard to classroom of Smith College students

Mathematical Sciences

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, analysis, number theory and geometry. Today, so many new areas have sprouted that the term “mathematics” seems almost inadequate. A new phrase, “the mathematical sciences” has come into fashion to describe a broad discipline that includes the blossoming fields of statistics, operations research, biomathematics and information science, as well as the traditional branches of pure and applied mathematics.

Department Update

WIMIN

WIMIN (Women in Math in New England) is our annual undergraduate conference that takes place each September at Smith College. For more information, please visit www.science.cellphonejoys.com/wimin

Presentation of the Major

Come hear about the mathematics major and learn about the different paths and courses you can take! Thursday, October 24 at 12:15 - 1:10 pm in the Math Forum (Burton Hall 304)

Declaring a Math Major or Minor

If you'd like to declare a major or minor, the first step is to fill out this advisor request form.

Requirements & Courses

Goals for Majors in Mathematics

  • Given a problem, to recognize its mathematical aspects and to produce an abstract mathematical model for the problem.
  • Basic mathematical skills (through discrete math, the calculus course, and linear algebra).
  • To write mathematics effectively. 
  • To understand and write mathematical proofs.
  • To speak mathematics or statistical terms effectively in oral presentations.
  • To use technology appropriately to learn and understand mathematics.

Goals for Majors in MST

  • Solid preparation for success in graduate school in statistics, biostatistics or other quantitative fields.
  • Given a problem, be able to recognize its mathematical aspects and produce an abstract mathematical model for the problem.
  • Mastery of foundational mathematical skills (through discrete math, the calculus courses, linear algebra and analysis), including the ability to read and write proofs.
  • Fit and interpret statistical models, including but not limited to linear regression models. Use models to make predictions and evaluate the efficacy of those models and the accuracy of those predictions.
  • Understand the strengths and limitations of different research methods for the collection, analysis and interpretation of data. Be able to design studies for various purposes.
  • Attend to and explain the role of uncertainty in inferential statistical procedures.
  • Write a professional-level statistical report.
  • Understand the mathematical foundations of statistical inference.
  • Compute with data in at least one high-level programming language, as evidenced by the ability to analyze a complex data set.

Mathematics Major

Requirements

The mathematics major has a foundation requirement, a core requirement, a depth requirement and a total credit requirement.

  1. Foundation: MTH 111, MTH 112, MTH 153, MTH 211 and MTH 212
  2. Core
    1. One course in algebra: MTH 233 or MTH 238
    2. One course in analysis MTH 280 or MTH 281
  3. Depth: One advanced course, (a MTH course with a course number between 310 and 390)
  4. Electives to reach 36 credits at or above MTH 153
  • With the approval of the department, up to 8 of the credits may be satisfied by courses taken outside the department of Mathematical Sciences. Courses taken outside the department must contain either substantial mathematical content at a level more advanced than MTH 211 and MTH 212 or statistical content at a level more advanced than SDS 220. Generally, such a 4-credit course will be given 2 credits toward the mathematics major.
  • Crosslisted courses (see the Courses tab) are counted as mathematics courses and given full credit toward the mathematics major, as does ECO 220.
  • The following courses meet the criteria for 2 credits toward mathematics major: AST 337CHM 331CHM 332CSC 240CSC 252CSC 274, a topic in CSC 334 , ECO 240ECO 255EGR 220EGR 315EGR 320EGR 326EGR 374EGR 389PHI 102PHY 210PHY 317PHY 318PHY 319PHY 327, and SDS 293. A student may petition the department if they wish credit for any course not on this list.

Mathematical Statistics Major

The major in mathematical statistics (MST) is designed to prepare students for graduate study in statistics and closely-related disciplines (e.g., biostatistics). The mathematical statistics major overlaps with the major in statistical & data sciences (SDS), but places a heavier emphasis on the theoretical development of statistics. Mathematical statistics majors will develop sophisticated mathematical skills to prepare for rigorous future study. The major also overlaps with the major in mathematical sciences (MTH), but focuses on statistics and replaces the algebra requirement with a computing requirement.  

A student majoring in MST cannot have a second major in either SDS or MTH. Students contemplating a double major in MTH and SDS should choose to major in MST. 

Requirements

Ten courses

  1. Mathematical foundations (3 courses): MTH 153MTH 211 and MTH 212
  2. Statistical foundations (2 courses) 
    1. SDS 201 or SDS 220
    2. SDS 291
  3. Statistics depth (1 course): SDS 290SDS 293/ CSC 293 or a topic in SDS 390 
  4. Mathematics depth (1 course): MTH 280 or MTH 281
  5. Programming (1 course): SDS 192CSC 110 or CSC 120
  6. Theoretical statistics (2 courses): MTH 246 and MTH 320/ SDS 320
  7. Electives to complete ten courses. Five College course in statistics, mathematics and computer science may be taken as electives. Students should consult with their adviser to determine appropriate electives.

Major Requirement Details

  • SDS 220 or SDS 201 may be replaced by a 4 or 5 on the AP statistics exam. Replacement by AP scores does not diminish the total of 10 courses required for the major (see Electives above).
  • A student may replace MTH 153, MTH 211 and MTH 212 with equivalent courses as approved by the MTH department.
  • Any one of ECO 220, GOV 203, PSY 201 or SOC 204 may directly substitute for SDS 220 or SDS 201 without the need to take another course. Note that SDS 220 and ECO 220 require Calculus.
  • Normally, all courses that are counted towards either the major or minor must be taken for a letter grade.

Honors

A student majoring in mathematics may apply for the departmental honors program. An honors project consists of directed reading, investigation and a thesis. This is an opportunity to engage in scholarship at a high level. A student at any level considering an honors project is encouraged to consult with the director of honors and any member of the department to obtain advice and further information.

Normally, a student who applies to do honors work must have an overall 3.0 GPA for courses through their junior year, and a 3.3 GPA for courses in their major. A student may apply either in the second semester of their junior year or by the second week of the first semester of their senior year; the former is strongly recommended.

Requirements
  1. Credits required for the major
  2. MTH 430D or MTH 432D (for either eight or twelve credits) or (in unusual circumstances) MTH 431. The length of the thesis depends upon the topic and the nature of the investigation and is determined by the student, their adviser and the department.
  3. An oral presentation of the thesis

The department recommends the designation of Highest Honors, High Honors, Honors, Pass or Fail based on the following three criteria at the given percentages:

60 percent thesis

20 percent oral presentation

20 percent grades in the major

Specific guidelines and deadlines for completion of the various stages of an honors project are set by the department as well as by the college. The student should obtain the department’s requirements and deadlines from the director of honors.

Mathematics Minor

Requirements

Twenty credits

 
  1. MTH 211
  2. Two courses (minimum of 8 credits) from MTH 153MTH 205/ CSC 205 or courses above MTH 211.
  3. Two courses (minimum of 8 credits) above MTH 212.

Up to four credits may be replaced by eight credits from the list of courses outside the department in the description of major requirements found on the Major tab.

Applied Statistics Minor

Information on the interdepartmental minor in applied statistics can be found on the Statistical and Data Sciences page of this catalog.

Course Information

A student with three or four years of high school mathematics (the final year may be called precalculus, trigonometry, functions, or analysis), but no calculus, normally enrolls in MTH 111. A student with a year of AB calculus, A levels or IB math SL normally enrolls in MTH 153 and/or MTH 112 during the first year. Placement in MTH 112 is determined not only by the amount of previous calculus but also by the strength of the student’s preparation. If a student has a year of BC calculus or IB math HL, they may omit MTH 112.

A student with two years of high school mathematics, but no calculus or precalculus, should enroll in MTH 102.

Topics offered in MTH 105 are intended for students not expecting to major in mathematics or the sciences.

A student who receives credit for taking MTH 111 may not have AP calculus credits applied toward their degree. A student with 8 AP Calculus credits (available to students with a 4 or 5 on the AP exam for BC Calculus) may apply only 4 of them if they also receive credit for MTH 112. A student who has a score of 4 or 5 on the AP Statistics examination may receive 4 credits. They may not however, use them toward their degree requirements if they also receive credit for SDS 201SDS 220, PSY 201 or ECO 220. (AP credits can be used to meet degree requirements only under circumstances specified by the college.)

Courses

MTH 101/ IDP 101 Math Skills Studio (4 Credits)

Offered as MTH 101 and IDP 101. This course is for students who need additional preparation to succeed in courses containing quantitative material. It provides a supportive environment for learning or reviewing, as well as applying, arithmetic, algebra and mathematical skills. Students develop their numerical and algebraic skills by working with numbers drawn from a variety of sources. This course does not carry a Latin Honors designation. Enrollment limited to 20. Instructor permission required.

Fall, Interterm

MTH 102 Elementary Functions (4 Credits)

Linear, polynomial, exponential, logarithmic and trigonometric functions graphs, verbal descriptions, tables and mathematical formulae. For students who intend to take calculus or quantitative courses in scientific fields, economics, government and sociology. Also recommended for prospective teachers preparing for certification. Enrollment limited to 25. {M}

Fall

MTH 103/ IDP 103 Precalculus and Calculus Bootcamp (2 Credits)

Offered as IDP 103 and MTH 103. This course provides a fast-paced review of and intense practice of computational skills, graphing skills, algebra, trigonometry, elementary functions (pre-calculus) and computations used in calculus. Featuring a daily review followed by problem-solving drills and exercises stressing technique and application, this course provides concentrated practice in the skills needed to succeed in courses that apply elementary functions and calculus. Students gain credit by completing all course assignments. This course does not count towards the Mathematics or Mathematical Statistics majors. S/U only. Enrollment limited to 20. Instructor permission required.

Fall, Interterm, Spring, Variable

MTH 104/ CHM 104 We Are All Scientists: The Impact of Racism on Science (4 Credits)

Offered as CHM 104 and MTH 104. "Do I belong here?" is the question that underrepresented individuals in STEM constantly ask themselves, especially at the undergraduate level where students select majors that often define their careers. The definition and specialization of science emerged in later centuries and were defined by European standards in a way that excluded the underrepresented groups that the science community struggles to include today. The interpretation of history is firmly linked to how one perceives themself. This course aims to re-examine scientific discovery with a focus on anti-blackness using inclusive historical examples. We are all scientists, and it’s time to celebrate all of our stories. Enrollment limited to 15. Instructor permission required. (E)

Spring, Alternate Years

MTH 105ar Topics in Discovering Mathematics-MathStudio: Making, Art + Math (4 Credits)

The course has geometrical, mathematical and studio art components. Students draw and build 3D objects with simple tools and study their geometric and mathematical properties. Introduction to elements of geometry, algebra and symmetry in connection to what is built. Enrollment limited to 25. {M}

Fall, Spring, Variable

MTH 105we Topics in Discovering Mathematics-The Mathematics of Wealth (4 Credits)

This course looks at the intersection of mathematics and social justice thru the lens of wealth in America. Social justice topics include wealth distribution, taxes, the Gini index and the poverty cycle. Mathematical topics include mathematical modeling, logic, set theory, statistics and probability. Enrollment limited to 25. (E)

Fall, Spring, Variable

MTH 111 Calculus I (4 Credits)

Discussions include rates of change, differentiation, applications of derivatives including differential equations and the fundamental theorem of calculus. Written communication and applications to other sciences and social sciences motivate course content. Enrollment limited to 25. {M}

Fall, Spring

MTH 112 Calculus II (4 Credits)

Techniques of integration, geometric applications of the integral, differential equations and modeling, infinite series, and approximation of functions. Written communication and applications to other sciences and social sciences motivate course content. Prerequisite: MTH 111 or equivalent. Enrollment limited to 25. {M}

Fall, Spring

MTH 153 Introduction to Discrete Mathematics (4 Credits)

An introduction to discrete (finite) mathematics with emphasis on the study of algorithms and on applications to mathematical modeling and computer science. Topics include sets, logic, graph theory, induction, recursion, counting and combinatorics. Enrollment limited to 25. {M}

Fall, Spring

MTH 205/ CSC 205 Modeling in the Sciences (4 Credits)

Offered as CSC 205 and MTH 205. This course integrates the use of mathematics and computers for modeling various phenomena drawn from the natural and social sciences. Scientific case studies span a wide range of systems at all scales, with special emphasis on the life sciences. Mathematical tools include data analysis, discrete and continuous dynamical systems, and discrete geometry. This is a project-based course and provides elementary training in programming using Mathematica. Designations: Theory, Programming. Prerequisites: MTH 112. CSC 110 recommended. Enrollment limited to 20. {M}

Fall, Spring, Annually

MTH 211 Linear Algebra (4 Credits)

Systems of linear equations, matrices, linear transformations and vector spaces. Applications to be selected from differential equations, foundations of physics, geometry and other topics. Prerequisite: MTH 112 or equivalent, or MTH 111 and MTH 153; MTH 153 is suggested. Enrollment limited to 30. {M}

Fall, Spring

MTH 212 Multivariable Calculus (4 Credits)

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two-and three-dimensional space, vector functions, double and triple integrals, polar, cylindrical and spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. MTH 211 suggested (may be concurrent). Enrollment limited to 30. {M}

Fall, Spring

MTH 233 An Introduction to Abstract Algebra (4 Credits)

An introduction to the concepts of abstract algebra, including groups, quotient groups and, if time allows, rings and fields. Prerequisites: MTH 153 and MTH 211 or equivalent. {M}

Spring

MTH 238 Number Theory (4 Credits)

Topics to be covered include properties of the integers, prime numbers, congruences, various Diophantine problems, arithmetical functions and cryptography. Prerequisite: MTH 153 and MTH 211, or equivalent. {M}

Fall

MTH 246 Probability (4 Credits)

An introduction to probability, including combinatorial probability, random variables, discrete and continuous distributions. Prerequisites: MTH 153 and MTH 212 (may be taken concurrently), or equivalent. {M}

Fall

MTH 254 Combinatorics (4 Credits)

Enumeration, including recurrence relations and generating functions. Special attention paid to binomial coefficients, Fibonacci numbers, Catalan numbers and Stirling numbers. Combinatorial designs, including Latin squares, finite projective planes, Hadamard matrices and block designs. Necessary conditions and constructions. Error correcting codes. Applications. Prerequisites: MTH 153 and MTH 211 or equivalent. {M}

Spring, Alternate Years

MTH 255 Graph Theory (4 Credits)

The course begins with the basic structure of graphs including connectivity, paths, cycles and planarity and proceeds to independence, stability, matchings and colorings. Directed graphs and networks are considered. In particular, some optimization problems including maximum flow are covered. The material includes theory and mathematical proofs as well as algorithms and applications. Prerequisites: MTH 153 and MTH 211 or equivalent. {M}

Spring, Alternate Years

MTH 261 Computational Linear Algebra (4 Credits)

Linear algebra has become one of the most widely applied areas of mathematics. Fast matrix computation allows for the manipulation and analysis of large complex data sets which has enabled major advances in computation. Discussions include solving linear systems, matrices, determinants, matrix factorizations such as LU, and QR decompositions and singular value decomposition (SVD). Students will learn to use software to analyze large data sets, with applications in computer science, chemistry, engineering, and others. This course will be taught using the software MATLAB, but no knowledge of MATLAB is assumed. Enrollment limited to 25. (E) {M}

Fall, Spring, Variable

MTH 264de Topics in Applied Math-Differential Equations (4 Credits)

This course gives an introduction to the theory and applications of ordinary differential equations. The course explores different applications in physics, chemistry, biology, engineering and social sciences. Students learn to predict the behavior of a particular system described by differential equations by finding exact solutions, making numerical approximations, and performing qualitative and geometric analysis. Specific topics include solutions to first order equations and linear systems, existence and uniqueness of solutions, nonlinear systems and linear stability analysis, forcing and resonance, Laplace transforms. Prerequisites: MTH 112, MTH 212 and MTH 211 (recommended) or PHY 210, or equivalent. {M}

Fall, Spring

MTH 270ss Topics in Geometry-The Shape of Space (4 Credits)

This is a course in intuitive geometry and topology, with an emphasis on hands-on exploration and developing the visual imagination. Discussions may include knots, geometry and topology of surfaces and the Gauss-Bonnet Theorem, symmetries, wallpaper patterns in Euclidean, spherical and hyperbolic geometries, and an introduction to 3-dimensional manifolds. Prerequisites: MTH 211 and MTH 212 or equivalent. {M}

Fall, Spring, Variable

MTH 280 Advanced Calculus (4 Credits)

Functions of several variables, vector fields, divergence and curl, critical point theory, transformations and their Jacobians, implicit functions, manifolds, theory and applications of multiple integration, and the theorems of Green, Gauss and Stokes. Prerequisites: MTH 211 and MTH 212, or equivalent. MTH 153 is encouraged. {M}

Spring

MTH 281 Introduction to Analysis (4 Credits)

The topological structure of the real line, compactness, connectedness, functions, continuity, uniform continuity, differentiability, sequences and series of functions, uniform convergence, introduction to Lebesgue measure and integration. Prerequisites: MTH 211 and MTH 212, or equivalent. MTH 153 is strongly encouraged. Enrollment limited to 20. {M}

Fall

MTH 300 Dialogues in Mathematics and Statistics (1 Credit)

In this class students don’t do math as much as they talk about doing math and the culture of mathematics. The class includes lectures by students, faculty and visitors on a wide variety of topics, and opportunities to talk with mathematicians about their lives. This course is especially helpful for those considering graduate school in the mathematical sciences. Prerequisites: MTH 211, MTH 212 and two additional mathematics courses at the 200-level, or equivalent. May be repeated once for credit. S/U only. {M}

Fall, Spring

MTH 301rs Topics in Advanced Mathematics-Research (3 Credits)

In this course students work in small groups on original research projects. Students are expected to attend a brief presentation of projects at the start of the semester. Recent topics include interactions between algebra and graph theory, plant patterns, knot theory and mathematical modeling. This course is open to all students interested in gaining research experience in mathematics. Prerequisites vary depending on the project, but normally MTH 153 and MTH 211 are required. Restrictions: MTH 301rs may be repeated once. {M}

Fall, Spring, Variable

MTH 320/ SDS 320 Mathematical Statistics (4 Credits)

Offered as MTH 320 and SDS 320. An introduction to the mathematical theory of statistics and to the application of that theory to the real world. Discussions include functions of random variables, estimation, likelihood and Bayesian methods, hypothesis testing and linear models. Prerequisites: a course in introductory statistics, MTH 212 and MTH 246, or equivalent. Enrollment limited to 20. {M}

Spring

MTH 333ct Topics in Abstract Algebra-Coding Theory (4 Credits)

An overview of noiseless and noisy coding. Covers both theory and applications of coding theory. Topics include linear codes, Hamming codes, Reed-Muller codes, cyclic redundancy checks, entropy, and other topics as time permits. Prerequisites: MTH 153 and MTH 211. One of MTH 233 or MTH 238 is highly recommended. {M}

Fall, Spring, Variable

MTH 333la Topics in Abstract Algebra-Advanced Linear Algebra (4 Credits)

This is a second course in linear algebra that explores the structure of matrices. Topics may include characteristic and minimal polynomials, diagonalization and canonical forms of matrices, the spectral theorem, the singular value decomposition theorem, an introduction to modules, and applications to problems in optimization, Markov chains, and others. {M}

Fall, Spring, Variable

MTH 333rt Topics in Abstract Algebra-Representation Theory (4 Credits)

Representation theory is used everywhere, from number theory, combinatorics, and topology, to chemistry, physics, coding theory, and computer graphics. The core question of representation theory is: what are the fundamentally different ways to describe symmetries as groups of matrices acting on an underlying vector space? This course will explain each part of that question and key approaches to answering it. Topics may include irreducible representations, Schur’s Lemma, Maschke’s Theorem, character tables, orthogonality of characters, and representations of specific finite groups. MTH 233 is helpful but not required. Prerequisite: MTH 211. {M}

Fall, Spring, Variable

MTH 353ac Seminar: Advanced Topics in Discrete Applied Mathematics-Calderwood Seminar on Applied Algebraic Combinatorics and Mathematical Biology (4 Credits)

Calderwood Seminar. Combinatorial ideas permeate biology at all scales, from the combinatorial properties of the sequences of letters (nucleotides) representing DNA and RNA, to the symmetries often observed in cell divisions, to the graphs that can be used to represent evolutionary trees.  This course focuses on key combinatorial ideas that arise on multiple scales in biology, including molecular, cellular and organism, especially: counting and classification, symmetries and combinatorial graphs.  The class interviews mathematicians and biologists about their current research and prepares multiple reports and presentations for different kinds of popular audiences (for example: kids, biologists and newspapers).  No particular biological background is expected.  MTH 153 and an additional proof-based course are required, or equivalent.  MTH 233 and MTH 254 or their equivalents are useful but not required. Restrictions: Juniors and seniors only. Enrollment limited to 12. Instructor permission required. {M}

Fall, Spring, Variable

MTH 354 Mathematics of Deep Learning (4 Credits)

The developments of Artificial Intelligence (AI) are tied to an unprecedented reshaping of the human experience throughout society, impacting the arts, literature, science, politics, commerce, law, education, etc. Despite these consequential effects, understanding of AI is mostly empirical. The state of knowledge of deep learning has been recently likened to a pseudo-science like alchemy. Progress in this direction rests on truly interdisciplinary approaches that are equally informed from mathematics, computer science, statistics and data science. The course goals are: (1) Understand the mathematical foundations of deep learning, (2) Develop proficiency in using mathematical tools to analyze deep learning algorithms, (3) Apply mathematical concepts to implement real-world applications of deep learning. Not recommended for first-years. Prerequisites: MTH 211 and MTH 212. Enrollment limited to 12. {M}

Fall, Spring, Variable

MTH 364ds Advanced Topics in Continuous Applied Mathematics-Dynamical Systems, Chaos and Applications (4 Credits)

An introduction to the theory of Dynamical Systems with applications. A dynamical system is a system that evolves with time under certain rules. The class looks at both continuous and discrete dynamical systems when the rules are given by differential equations or iteration of transformations. Students study the stability of equilibria or periodic orbits, bifurcations, chaos and strange attractors. Applications are often biological, but the final project is on a scientific application of the student's choice. Prerequisites: MTH 211 and MTH 212 or equivalent. {M}

Fall, Spring, Variable

MTH 364pd Advanced Topics in Continuous Applied Mathematics-Partial Differential Equations (4 Credits)

Partial differential equations allow the ability to track how quantities change when they depend on multiple variables, e.g. space and time. This course provides an introduction to techniques for analyzing and solving partial differential equations and surveys applications from the sciences and engineering. Specific topics include Fourier series; separation of variables; heat, wave and Laplace’s equations; finite difference numerical methods; and introduction to pattern formations. Prerequisite: MTH 211 and MTH 212, or MTH 280/MTH 281, or equivalent. MTH 264 is strongly recommended. Prior exposure to computing (using Matlab, Mathematica, Python, etc.) is helpful. {M}

Fall, Spring, Variable

MTH 370gw Topics in Topology and Geometry-The Geometry of the Physical World (4 Credits)

The course covers the mathematics needed to describe our physical universe, focusing on concepts from the field of Differential Geometry that are needed to understand the Theories of Special and General Relativity. The course cover the differential geometry of surfaces in 3-dimensional space, with a particular focus on the difference between intrinsic and extrinsic geometry. The course also covers the Postulates of Special Relativity and an introduction to General Relativity, motivating the study of higher dimensional manifolds, Lorentzian Geometry and the mathematics behind coordinate-independent Physical theories. (E) {M}{N}

Fall, Spring, Variable

MTH 370tp Topics in Topology and Geometry-Topology (4 Credits)

Topology is a kind of geometry in which important properties of a shape are preserved under continuous motions (homeomorphisms)—for instance, properties like whether one object can be transformed into another by stretching and squishing but not tearing. This course gives students an introduction to some of the classical topics in the area: the basic notions of point set topology (including connectedness and compactness) and the definition and use of the fundamental group. Prerequisites: MTH 280 or MTH 281, or equivalent. {M}

Fall, Spring, Variable

MTH 381fw Topics in Mathematical Analysis- Fourier Analysis and Wavelets (4 Credits)

The mathematics of how it is possible to simultaneously stream videos while using the same cable to call on the phone. Hilbert spaces, Fourier series, Fourier transform, discrete Fourier transforms, wavelets, multiresolution analysis, applications. Prerequisite: MTH 280 or MTH 281. {M}

Fall, Spring, Variable

MTH 381gm Topics in Mathematical Analysis-Geometry and Mechanics (4 Credits)

Introduction to modern geometric approaches to classical physics. The essential idea is that the notion of symmetry can be used to simplify the analysis of physical systems. Topics may include Lagrangian and Hamiltonian mechanics, Noether’s Theorem and conservation laws, quantization, and special relativity. MTH 233 is suggested (possibly concurrently). No prior exposure to physics is necessary. Prerequisite: MTH 280 or MTH 281. {M}

Fall, Spring, Variable

MTH 382 Complex Analysis (4 Credits)

Complex numbers, functions of a complex variable, algebra and geometry of the complex plane. Differentiation, integration, Cauchy integral formula, calculus of residues, applications. Prerequisite: MTH 211 and MTH 212, or equivalent.

Fall, Spring, Variable

MTH 400 Special Studies (1-4 Credits)

Normally for majors who have had at least four semester courses at the intermediate level. Instructor permission required.

Fall, Spring

MTH 430D Honors Project (4 Credits)

Department permission required.

Fall, Spring

MTH 431 Honors Project (8 Credits)

Department permission required.

Fall, Spring

MTH 432D Honors Project (6 Credits)

Department permission required.

Fall, Spring

MTH 580 Graduate Special Studies (4 Credits)

Instructor permission required.

Fall, Spring

Crosslisted Courses 

CHM 104/ MTH 104 We Are All Scientists: The Impact of Racism on Science (4 Credits)

Offered as CHM 104 and MTH 104. "Do I belong here?" is the question that underrepresented individuals in STEM constantly ask themselves, especially at the undergraduate level where students select majors that often define their careers. The definition and specialization of science emerged in later centuries and were defined by European standards in a way that excluded the underrepresented groups that the science community struggles to include today. The interpretation of history is firmly linked to how one perceives themself. This course aims to re-examine scientific discovery with a focus on anti-blackness using inclusive historical examples. We are all scientists, and it’s time to celebrate all of our stories. Enrollment limited to 15. Instructor permission required. (E)

Spring, Alternate Years

CSC 109/ SDS 109 Communicating with Data (4 Credits)

Offered as SDS 109 and CSC 109. The world is growing increasingly reliant on collecting and analyzing information to help people make decisions. Because of this, the ability to communicate effectively about data is an important component of future job prospects across nearly all disciplines. In this course, students learn the foundations of information visualization and sharpen their skills in communicating using data. This course explores concepts in decision-making, human perception, color theory and storytelling as they apply to data-driven communication. This course helps students build a strong foundation in how to talk to people about data, for both aspiring data scientists and students who want to learn new ways of presenting information. Enrollment limited to 40. {M}

Fall, Spring

CSC 205/ MTH 205 Modeling in the Sciences (4 Credits)

Offered as CSC 205 and MTH 205. This course integrates the use of mathematics and computers for modeling various phenomena drawn from the natural and social sciences. Scientific case studies span a wide range of systems at all scales, with special emphasis on the life sciences. Mathematical tools include data analysis, discrete and continuous dynamical systems, and discrete geometry. This is a project-based course and provides elementary training in programming using Mathematica. Designations: Theory, Programming. Prerequisites: MTH 112. CSC 110 recommended. Enrollment limited to 20. {M}

Fall, Spring, Annually

CSC 270 Digital Circuits and Computer Systems (5 Credits)

This class introduces the operation of logic and sequential circuits. Students explore basic logic gates (AND, OR, NAND, NOR), counters, flip-flops, decoders, microprocessor systems. Students have the opportunity to design and implement digital circuits during a weekly lab. Designation: Systems. Prerequisite: CSC 231. Enrollment limited to 12.

Fall, Spring, Variable

CSC 290 Introduction to Artificial Intelligence (4 Credits)

An introduction to artificial intelligence including an introduction to artificial intelligence programming. Discussions include: game playing and search strategies, machine learning, natural language understanding, neural networks, genetic algorithms, evolutionary programming and philosophical issues. Designations: Theory, Programming. Prerequisite: CSC 210 and MTH 111, or equivalent. Enrollment limited to 30.

Fall, Spring, Variable

IDP 101/ MTH 101 Math Skills Studio (4 Credits)

Offered as MTH 101 and IDP 101. This course is for students who need additional preparation to succeed in courses containing quantitative material. It provides a supportive environment for learning or reviewing, as well as applying, arithmetic, algebra and mathematical skills. Students develop their numerical and algebraic skills by working with numbers drawn from a variety of sources. This course does not carry a Latin Honors designation. Enrollment limited to 20. Instructor permission required.

Fall, Interterm

IDP 105 Quantitative Skills in Practice (4 Credits)

A course continuing the development of quantitative skills and quantitative literacy begun in MTH/ IDP 101. Students continue to exercise and review basic mathematical skills, to reason with quantitative information, to explore the use and power of quantitative reasoning in rhetorical argument, and to cultivate the habit of mind to use quantitative skills as part of critical thinking. Attention is given to visual literacy in reading graphs, tables and other displays of quantitative information and to cultural attitudes surrounding mathematics. Prerequisites: MTH 101/ IDP 101. Enrollment limited to 18. {M}

Spring

IDP 325 Art/Math Studio (4 Credits)

This course is a combination of two distinct but related areas of study: studio art and mathematics. Students are actively engaged in the design and fabrication of three-dimensional models that deal directly with aspects of mathematics. The class includes an introduction to basic building techniques with a variety of tools and media. At the same time each student pursues an intensive examination of a particular-individual-theme within studio art practice. The mathematical projects are pursued in small groups. The studio artwork is done individually. Group discussions of reading, oral presentations and critiques, as well as several small written assignments, are a major aspect of the class. Limited to juniors and seniors. Instructor permission required. Enrollment limited to 15. {A}{M}

Spring

MTH 320/ SDS 320 Mathematical Statistics (4 Credits)

Offered as MTH 320 and SDS 320. An introduction to the mathematical theory of statistics and to the application of that theory to the real world. Discussions include functions of random variables, estimation, likelihood and Bayesian methods, hypothesis testing and linear models. Prerequisites: a course in introductory statistics, MTH 212 and MTH 246, or equivalent. Enrollment limited to 20. {M}

Spring

PSY 201 Statistical Methods for Undergraduate Research (5 Credits)

An overview of the statistical methods needed for undergraduate research emphasizing methods for data collection, data description and statistical inference including an introduction to study design, confidence intervals, testing hypotheses, analysis of variance and regression analysis. Techniques for analyzing both quantitative and categorical data are discussed. Applications are emphasized, and students use R and other statistical software for data analysis. This course satisfies the basis requirement for the psychology major. Students who have taken MTH 111 or the equivalent or who have taken AP STAT should take SDS 220, which also satisfies the major requirement. Restrictions: Students do not normally earn credit for more than one course on this list: ECO 220, GOV 203, MTH 220, PSY 201, SDS 201, SDS 220 or SOC 204. Enrollment limited to 40. {M}

Fall, Spring, Variable

SDS 220 Introduction to Probability and Statistics (4 Credits)

(Formerly MTH 220/SDS 220). An application-oriented introduction to modern statistical inference: study design, descriptive statistics, random variables, probability and sampling distributions, point and interval estimates, hypothesis tests, resampling procedures, and multiple regression. A wide variety of applications from the natural and social sciences are used. This course satisfies the basic requirement for biological science, engineering, environmental science, neuroscience, and psychology. Prerequisite: MTH 111, or equivalent; SDS 100 must be taken concurrently for students who have not completed SDS 192, SDS 201, SDS 290 or SDS 291. Restrictions: Students do not normally earn credit for more than one course on this list: ECO 220, GOV 203, MTH 220, PSY 201, SDS 201, SDS 220 or SOC 204. Enrollment limited to 40. {M}

Fall, Spring

SDS 290 Research Design and Analysis (4 Credits)

(Formerly MTH/SDS 290). A survey of statistical methods needed for scientific research, including planning data collection and data analyses that provide evidence about a research hypothesis. The course can include coverage of analyses of variance, interactions, contrasts, multiple comparisons, multiple regression, factor analysis, causal inference for observational and randomized studies and graphical methods for displaying data. Special attention is given to analysis of data from student projects such as theses and special studies. Statistical software is used for data analysis. Prerequisites: One of the following: PSY 201, SDS 201, GOV 203, ECO 220, SDS 220 or a score of 4 or 5 on the AP Statistics examination or the equivalent; concurrent registration in SDS 100 required for students who have not completed SDS 192, SDS 201, SDS 220 or SDS 291. Enrollment limited to 40. {M}

Fall, Spring

SDS 291 Multiple Regression (4 Credits)

(Formerly MTH 291/ SDS 291). Theory and applications of regression techniques: linear and nonlinear multiple regression models, residual and influence analysis, correlation, covariance analysis, indicator variables and time series analysis. This course includes methods for choosing, fitting, evaluating and comparing statistical models and analyzes data sets taken from the natural, physical and social sciences. Prerequisite: SDS 201, PSY 201, GOV 203, SDS 220, ECO 220 or equivalent or a score of 4 or 5 on the AP Statistics examination; concurrent registration in SDS 100 required for students who have not completed SDS 192, 201, 220 or 290. Enrollment limited to 40. {M}{N}

Fall, Spring

The Center for Women in Mathematics is a place for women to get intensive training at the advanced level and an opportunity to study in a community that is fun, friendly and serious about math. The students build the skills and confidence needed to continue on to graduate school. For details see the Postbaccalaureate Program Website.

Additional Programmatic Information

Advisers: Pau Atela, Benjamin Baumer, Jennifer Beichman, Patricia Cahn, Luca Capogna, Jacob Garcia, Christophe Golé, Rajan Mehta, Geremias Polanco, Candice Price, Ileana Streinu, Becca Thomases, Julianna Tymoczko, Ileana Vasu

If you'd like to declare a math major or minor, the first step is to fill out an advisor preference form here.

Postbaccalaureate Program

Sponsored by the Center for Women in Mathematics, the Postbaccalaureate Program is for women with bachelor's degrees who did not major in mathematics or whose mathematics major was light. This program is open to all women who have graduated college with some course work in mathematics above the level of calculus, and a serious interest in further pursuing mathematics. More information about the program is provided by the Center for Women in Mathematics.

Masters of Arts in Teaching

The Department of Mathematical Sciences cooperates with the Department of Education and Child Study to offer a one–year Master of Arts in Teaching (MAT) program.

During one summer and two semesters, MAT candidates take three courses in mathematics and all the course work required for secondary teacher certification in Massachusetts. The program includes a semester–long internship in a local school. Applicants for the MAT program in mathematics should have an undergraduate degree in mathematics. College graduates with a different major will be considered if their undergraduate education included a strong foundation in mathematics.

Fifth-Year Master of Science in Statistics

Qualified graduates of the Department of Mathematical Sciences can apply to the University of Massachusetts Amherst to earn a master's degree in statistics in a fifth year. Learn more about the program.

An honors project consists of directed reading, investigation and a thesis. This is an opportunity to engage in scholarship at a high level. A student at any level considering an honors project is encouraged to consult with the director of honors and any member of the department to obtain advice and further information.

Honors projects in the Department of Mathematical Sciences are worth 8–12 credits. Ideally, your program should be approved by the department in the spring before your senior year. (You might also consider applying for a summer research grant from Smith so you can spend the summer before your senior year in Northampton beginning the work on your project.)

Eligibility

Normally, a student who applies to do honors work must have an overall 3.0 GPA for courses through her junior year, and a 3.3 GPA for courses in her major. A student may apply either in the second semester of her junior year or by the second week of the first semester of her senior year; we strongly recommend the former.

Financial Assistance

The Tomlinson Memorial fund provides financial assistance for honors thesis projects. If you're interested in obtaining funds you must complete the application form "Financial Assistance for Departmental Honors" and submit it with your honors application. This application form can be obtained from the director of honors or the class deans office.

Timeline*

Typically, you meet with your project adviser several times a week. Usually the project focuses on one area and involves reading mathematics papers and books at an advanced level. The honors paper you write will be an assimilation and exposition of the area. Occasionally, a project will include new contributions by the student. By early spring, most of your research should be complete and you will begin writing. The paper is due in the middle of April. It is read by a panel of faculty members, and in early May you present a talk to the department on your work.

Presentation of Thesis

Smith College rules stipulate that the final draft of your thesis must be submitted to your faculty adviser (first reader) and second reader by April 15*. This final draft will be the one subject to evaluation by the first and second readers. Honors candidates give a 45-minute oral presentation of their honors research for the mathematics faculty, which will be open to all interested members of the Smith College community and others by invitation.

You should expect to take questions from the audience during and after the presentation. Following the open presentation there will be an additional question period for the mathematics faculty only. This presentation will be scheduled during the last week of classes, or reading period, but no later than the last day of the pre-examination study period.

Evaluation

  • 60% thesis
  • 20% oral presentation
  • 20% grades in the major

Your grade for the project (pass, distinction, high distinction, highest distinction) is determined by a combination of your grades on the paper, the presentation and your mathematics courses. The presentation has the least weight in your grade, but it gives us all a chance to hear about what you have done. We also invite you to give a talk to your fellow majors, though this is not part of the official process.

*Timeline is for May graduates. Consult your adviser about dates if you plan to graduate in January.

The Math department does not have a designated placement test for math and statistics courses. Descriptions of common starting courses, advice on how to decide between them and information about AP and IB credit is available on the Introductory Mathematics Courses website and on the document below.

Additional Course Information

Whatever your reasons to study math or statistics, we, or our colleagues in Statistics & Data Science, have something for you! And by the time you take a course with us, we hope that you will have enjoyed it so much that you will take another one just because it’s cool…

Why do I need math at all?

If you haven’t enjoyed your mathematics courses or have found them frustrating, the need to take more math in college for your major can be irritating. Or maybe you are delighted that you’ll be taking more math! Students have completely different experiences of mathematics courses, and here we would like to lay out some reasons that all students should be excited about taking math.  

You have probably heard the refrain “Math is everywhere!” many times before, and it’s true: math IS everywhere. From computing your GPA (a weighted average) to understanding how debt works (compounding interest), math runs through most facets of our lives, and increasingly in the data driven industry. For instance, how should a large trucking company allocate its storage of empty trailor around the country to minimize the number of  miles empty trailors travel? This is a difficult math problem that generates jobs and saves the environment!

In practical terms, even if you do not choose to do a math major, a number of other majors - and professions! - require math. The most common ones are:

  • MTH 111 Calculus I (Economics, Engineering, Physics, Statistics & Data Science, Pre-health)

  • MTH 112 Calculus II (Engineering, Physics)

  • MTH 153 Discrete Math (Computer Science)

  • MTH 211 Linear Algebra (Statistics & Data Science)

  • MTH 212 Calc III (Engineering, Physics)

  • SDS/MTH 220  Intro to Probability and Stats (Statistics & Data Science, Biology, Economics; recommended for Engineering and Pre-health)

What courses am I prepared to take?   

A student who wishes to study mathematics may place herself according to the following guidelines.

  • Any student who is curious about mathematics outside of the standard fields seen in high school may consider Discovering Mathematics (MTH105). Some incarnation of the course have explored arts and math, the role of chance in our lives, and measuring social inequalities.

  • A student with three years of high school math (typically one year of geometry and two years of algebra) is ready for Elementary Functions (MTH102), which can prepare them to take Calculus I.

  • A student with four years of high school math (but little or no calculus) can take Calculus I (MTH111).

  • A student with a year of high school calculus is ready to take Discrete Mathematics (MTH153) or Calculus II (MTH112).

  • Well-prepared students might start at Smith with Linear Algebra (MTH211)  or Calculus III (MTH212).

Below is a more detailed document matching your preparation with possible courses.

Mathematics, Statistics, and You 

For statistics courses you are prepared to take, consult this Statistics and Data Science page.

For detailed information about the introductory calculus courses as Smith, including how they work and they help you do the things you want to do with your time at Smith, visit the Introductory Mathematics Courses at Smith website

The introductory calculus courses (MTH111: Calculus 1 and MTH112: Calculus 2) at Smith are offered in small sections of 20-28 students, taught by different professors. The sections of each introductory course are closely coordinated to maximize the resources available to students and make it easy for students to work together during the semester. Those resources include department peer tutors, quantitative skills tutors through the Spinelli Center for Quantitative Learning, and the department Calculus Training Group program, profiled in Grecourt Gate in November 2017. 

For those who either do not intend to take Calculus or who have already taken enough of it, there is math besides Calculus!

 

MTH153: Introduction to Discrete Mathematics

Description: An introduction to discrete (finite) mathematics with emphasis on the study of algorithms and on applications to mathematical modeling and computer science. Topics include sets, logic, graph theory, induction, recursion, counting and combinatorics.

Offered: Every semester

Prerequisite:  None, but MTH111 and familiarity with summation notation is recommended

Great for: Computer Science, Mathematics & Statistics, Statistics & Data Science – the study of logic and algorithms is necessary for good coding. In addition, you learn a variety of proof techniques, which are key for going deeper in mathematics as a whole.

MTH211: Linear Algebra

Description: Systems of linear equations, matrices, linear transformations, vector spaces. Applications to be selected from differential equations, foundations of physics, geometry and other topics.

Prerequisite: MTH 112 or the equivalent, or MTH 111 and MTH 153; MTH 153 is suggested

Offered: Every semester

Great for: Almost everyone, but specifically Computer Science, Mathematics & Statistics, Statistics & Data Science, Economics. Linear algebra is the workhorse subject of modern mathematics. Any work with data relies on an understanding of matrices. Linear algebra is even used to help identify exoplanets in astronomy! It turns up pretty much everywhere.  

Required for: MTH and SDS majors.

MTH212: Calculus III

Description: Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two and three dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem.

Prerequisites: MTH 112. It is suggested that MTH 211 be taken before or concurrently with MTH 212.

Offered: Every semester

Great for: Physics, Engineering, Mathematics & Statistics, Economics. Calculus III takes everything from calculus and moves into multiple dimensions. For physics and engineering, understanding of more than one dimension is essential for modeling how objects move through our multi-dimensional space. In economics, you often need to optimize quantities with many different inputs (and sometimes outputs!) which Calculus III can do.

Required for: EGR and MTH majors.

MTH/SDS220: Introduction to Probability and Statistics

Description: An application-oriented introduction to modern statistical inference: study design, descriptive statistics; random variables; probability and sampling distributions; point and interval estimates; hypothesis tests, resampling procedures and multiple regression. A wide variety of applications from the natural and social sciences are used. Classes meet for lecture/discussion and for a required laboratory that emphasizes analysis of real data.

Prerequisite: MTH 111 or the equivalent, or permission of the instructor. Lab sections limited to 20

Offered: Every semester

Great for: Everybody. Data analysis is a growing field and understanding how to work with data is useful in many fields. MTH 220 satisfies the basis requirement for biological science, engineering, environmental science, neuroscience and psychology.

Required for: BIO, EGR, ESP, NSC, PSY, SDS.  

Note: Other departments offer statistics courses with different prerequisites, and for which SDS 220 may be substituted (e.g. PSY/SDS 201, ECO 220)

Consult the Smith College Course Catalog for information on the current courses available in mathematics and statistics.

There are also several courses that are available for credit from other departments, including art, psychology and more. Consult the catalog.

What classes you should take depends a great deal on what you find most interesting and on what your goals are. Discuss your options with your adviser and also talk to the instructors of particular courses that interest you.

If you are interested in the sciences:

The department offers a variety of courses to give you a solid mathematical experience. Calculus III and Linear Algebra are fundamental courses. You may also want to consider taking one or more of the following: Intro to Probability and Statistics, Differential Equations, Differential Equations and Numerical Methods, Discrete Mathematics, Advanced Topics in Continuous Applied Mathematics.

If you are interested in computer science:

Consider taking some of these: Calculus III, Linear Algebra, Modern Algebra, Discrete Mathematics. Many of our students are double–majoring in mathematics and computer science.

If you are interested in economics:

Calculus will give you a good, basic experience. You may consider other courses as well, so be sure to discuss your options with your adviser. If you are contemplating graduate school in economics, the economics department recommends you to take MTH 211, 212, 280 and 281. Taking a solid course in statistics is also a good idea (any of MTH 220, 246, 290, 291 and 320 would do). Many economics majors want to take MTH 264 as well. Double–majoring in mathematics and economics is a good choice.

If you are interested in applied mathematics:

The following courses work specifically with applications: MTH 205, 264, 353 and 364. Other courses that contain many applications and are important for anyone considering graduate school in applied mathematics are: MTH 220, 246, 254, 255, 280, 290, 291, and 320. 

If you are interested in theoretical mathematics:

The following courses work with abstract structures: MTH 233, 238, 246, 254, 255, 280, 281, 333, 370, 381, and 382.

If you liked calculus:

There are many reasons for liking calculus. If you delighted in the geometry, for example, you should consider MTH 270, 280, 370 and 382. If you enjoyed the power of calculus to describe and understand the world, you will want to take MTH 264. If you are fascinated with the ideas of limit and infinity and want to get to the bottom of them, you should take MTH 281.

If you liked linear algebra:

You will like MTH 233 very much, and you will also like MTH 238 and 333.

If you liked discrete mathematics:

The natural sequel to Discrete Mathematics is MTH 254 or 255 and then 353. In addition, you may be interested in MTH 246 and in CSC 252 (counts 2 credits toward the mathematics major).

If you are interested in graduate school in mathematics:

Take a lot of courses, but be sure to take MTH 233, 254, and 281 and as many of MTH 264, 333, 370, 381, and 382 as possible. You should also consider taking a graduate course at the University of Massachusetts.

If you are interested in graduate school in statistics:

The MST Mathematical Statistics joint Major between MTH and SDS is explicitly designed as a preparation for graduate school in Statistics. 

If you are interested in graduate school in operations research:

Operations research is a relatively new subarea of mathematics, bringing together mathematical ideas and techniques that are applied to large organizations such as businesses, computers, and governments. You should take MTH 211 and at least some of the courses listed for statistics above, some combinatorics (MTH 254) and some computer science. Consider also Topics in Applied Mathematics and Numerical Analysis.

If you want to be a teacher:

Certification requirements vary widely from state–to–state. If you are interested in teaching in secondary school, a mathematics major plus practice teaching may be enough to get started. In Massachusetts, the major should include either MTH 233 or 238 and one of MTH 220 or 246. A course involving geometry, such as MTH 270 or MTH 370 is also helpful. You should also have some introduction to computers. For guidelines, look at the list of courses listed in the MAT program. Finally, while MTH 307 Topics in Mathematics Education is rarely offered, something equivalent is taught as a special studies whenever there are MAT students.

If you are interested in teaching elementary school, most of your required courses will be in the education department. In the mathematics department, our concern would be that you are comfortable with mathematics, have seen its variety, and most important, that you enjoy it. For all that, you should take the mathematics courses which appeal to you most. For education courses, the latest information is that you should take EDC 235, 238, 346, 347, 404 (practice teaching), and one elective to be certified. Note that during the semester when you take practice teaching EDC 404, you will likely be unable to take a math course. Plan ahead and consult the education department.

If you want to be a doctor:

You are doing fine by majoring in mathematics. A course in statistics would be a very good idea. Other areas of mathematics that would be useful are differential equations and combinatorics.

If you want to be an actuary:

Take MTH 246, 290, 291 and 320 and the actuarial exams that are offered periodically. Advancement as an actuary is achieved by passing of a series of examinations. Informal student study groups often form (ask around!).

If you want to get a good job when you graduate:

A major in mathematics prepares you well, regardless of which courses you choose. Math majors learn to think on their feet; they aren't frightened of numbers and they're at home with abstract ideas. Often, this alone is what employers are looking for. That said, we should add that knowledge of computer programming is very useful, as is some familiarity with statistics.

If you want something Smith does not offer:

If you are interested in a subject we do not offer, you should talk to professors whose fields of interest are closest to the subject, as a special studies. The arrangement must be approved by the department, but reasonable requests are not refused. If your interest is particularly strong, you might consider an honors project, or summer research work. You should also consider taking a course (or courses) at one of the consortium schools.

Events

Thursday Lunch Talks

There is a department talk most Thursdays at lunch (provided, bring your own drink). The department talk is a chance for faculty, students and friends to hear an interesting talk and discuss mathematics.

September 21, 2024

Women in Mathematics in New England (WiMiN)

Our Women in Mathematics in New England (WiMiN) annual conference celebrates women in mathematics. We feature talks by dozens of undergraduates, graduate students and invited guests working in various mathematical fields.

Plenary Speakers for 2024
Lidia Mrad, Mount Holyoke College
Lisa Traynor, Bryn Mawr College
 
More details coming soon.

Smith Mathematicians (SMath)

SMath is a gathering of this is an opportunity for current students, alumnae, and faculty to discuss their projects. This conference features food, faculty and student talks, and various panels.

Joint Mathematics Meetings (JMM)

JMM is a national conference organized by the Mathematical Association of America (MAA) and the American Mathematical Society. Past students of the Center's research class (MTH 300) have attended to present talks on their work, as well as hear about the latest advancements in a variety of mathematical topics.

Hudson River Undergraduate Mathematics Conference (HRUMC)

The HRUMC is a one-day mathematics conference held annually each spring semester at rotating institutions, and attended by students and faculty from various universities, colleges and community colleges in New York and New England. The conference features short talks by students and faculty and a longer invited address by a noted mathematician. Lunch and other light refreshments are served.

Faculty

Pau Atela

Mathematics & Statistics

Professor of Mathematical Sciences

Pau Atela

Jennifer Beichman

Mathematics & Statistics

Lecturer in Mathematical Sciences; Dean of the Junior Class

Jennifer Beichman

Patricia Cahn

Mathematics & Statistics

Associate Professor of Mathematical Sciences; Codirector, Postbaccalaureate Program

Patricia Cahn

Luca Capogna

Mathematics & Statistics

Professor of Mathematical Sciences

Luca Capogna

Jacob Garcia

Mathematics & Statistics

Lecturer in Mathematical Sciences

Rebecca Kurtz-Garcia

Mathematics & Statistics

Assistant Professor of Mathematical Science and Statistical & Data Sciences

Rebecca Kurtz-Garcia

Rajan Mehta

Mathematics & Statistics

Associate Professor of Mathematical Sciences

Raj Mehta

Candice Price

Mathematics & Statistics

Associate Professor of Mathematical Sciences; Codirector, Postbaccalaureate Program

Candice Price

Becca Thomases

Mathematics & Statistics

Professor of Mathematical Sciences; Department Chair of Mathematical Sciences

Julianna Tymoczko

Mathematics & Statistics

Louise Wolff Kahn 1931 Professor of Mathematical Sciences; Codirector, Postbaccalaureate Program

Julianna Tymoczko

Ileana Vasu

Mathematics & Statistics

Senior Lecturer in Mathematical Sciences

ileana vasu

Zachary Winkeler

Mathematics & Statistics

Visiting Assistant Professor of Mathematical Sciences

Emeriti

James Callahan
Professor Emeritus of Mathematics & Statistics

Phyllis Cassidy
Professor Emerita of Mathematics

David Cohen
Professor Emeritus of Mathematics & Statistics

Ruth Haas
Achilles Professor Emerita of Mathematics & Statistics

Katherine Halvorsen
Professor Emerita of Mathematics & Statistics

James Henle
Myra M. Sampson Professor Emeritus of Mathematics & Statistics

Mary Murphy
Senior Lecturer Emerita in Mathematics & Statistics

Marjorie Senechal
Louise Wolff Kahn Professor Emerita in Mathematics and History of Science & Technology

Patricia Sipe
Associate Professor Emerita of Mathematics & Statistics

Affiliated Faculty

Sarah-Marie Belcastro
Smith Research Affiliate

Ben Baumer
Associate Professor of Statistical & Data Sciences

Nicholas Horton
Research Associate in Statistical & Data Sciences

Joseph O’Rourke
Spencer T. and Ann W. Olin Professor of Computer Science and Professor of Mathematics & Statistics

Ileana Streanu
Charles N. Clark Professor of Computer Science

Fellows

Elaine Gorom
Postdoctoral Fellow in Applied Mathematics

Opportunities & Resources

The Math Forum

The third floor of Burton Hall is the home of the Department of Mathematical Sciences. All faculty offices are located there, along with two computer laboratories/classrooms, a seminar room and the Forum. The Forum is a welcoming and comfortable space for conversation, study, relaxation, tea and cookies. It is a gathering place for students and teachers alike to meet tutors, to work in groups, read speculative fiction and ask questions both serious and idle.

Mathematics and Statistics Department Talks

There is a department talk most Thursdays at lunch for faculty, students and friends to hear an interesting talk and discuss mathematics. See the events calendar.

STATCOM

Statistics in the Community (STATCOM) is a volunteer community outreach organization. Directed and staffed by students, it provides professional statistical consulting services to governmental and nonprofit groups free of charge. The Five College Chapter includes graduates and undergraduates from the Five College system.

MathStudio

MathStudio is a creative studio space focusing on art and mathematics, directed by Pau Atela.

Teaching Assistants

Mathematical sciences teaching assistants are available Sundays through Thursdays from 7–9 p.m. during the semester. Mathematics teaching assistants are located in the Burton Forum (third floor). Statistics teaching assistants are located in Burton 301. After hours, the entrance to Burton is available from the main door or through the ramp from Sabin-Reed. The department is often looking for students to work as graders or teaching assistants. In addition, the Spinelli Center for Quantitative Learning hires many of our students.

Spinelli Center for Quantitative Learning

Tutoring, drop–in hours, one–on–one appointments and other resources are available for many mathematics and statistics classes at the Spinelli Center for Quantitative Learning.

Organizations

Awards

The department determines recipients for the following awards:

Suzan Rose Benedict Prize
Each year, the department awards the Suzan Rose Benedict Prize to an outstanding second-year student—and not necessarily a math major. In many years the prize has been shared.

Ann Kirsten Pokora Prize
Each year the department awards the Ann Kirsten Pokora Prize to a senior (or seniors) who excel in mathematics.

Competitions

Monthly Math Contest
During each month of the academic year, a mathematical problem is posted. The Smith student(s) with the largest number of correct solutions over the course of the year wins an all-expenses-paid trip to MathFest. They also take part in a national contest held during the conference. Anyone can submit a solution, but only Smith students are eligible for the prize. 

National Competitions

Talk to faculty in the department to find out who is coaching students for the following competitions:

Putnam Competition (sponsored by the MAA)
The Putnam Competition involves one day of solving 12 hard math problems, requiring little more than calculus. Solve one and you're better than average. The competition occurs in early December, but Putnam practice sessions are held on campus beforehand.

Mathematical Contest in Modeling (COMAP)
This modeling contest occurs over three days, in which you and your team use mathematical modeling to present your solutions to real-world problems. The contest is in February.

Undergraduate Statistics Project Competition (USPROC)
This undergraduate competition in statistics involves students working on a statistical project involving real data. It occurs between January and May.

Budapest Semesters in Mathematics
Study Abroad Adviser: Pau Atela

The Budapest Semesters in Mathematics program (BSM) offers a broad spectrum of intermediate and advanced mathematics courses taught (in English) by respected Hungarian professors, as well as courses in Hungarian language and culture and European history. Most classes focus on the Hungarian fortes of discrete math and analysis.

Students can choose to attend the program for either a semester or a full year. Although a year’s stay offers the most opportunity to learn about the Hungarian language and culture and to take more courses, it is really a semester-based program and one semester will give you the time to enjoy all of the amazing aspects of Budapest. Students who cannot afford to go abroad for more than one semester due to other requirements or commitments should keep the one-semester option in mind as a unique opportunity to study mathematics abroad and meet their obligations at the same time.

Students live either with a host Hungarian family or in an apartment with another student from the program. Either choice of living arrangements has its benefits and adds a wonderful dimension to the experience.

Public transportation is cheap and excellent, and there are even night buses along the main routes. The program schedule allows students the opportunity to travel around Hungary itself and to other nearby countries, such as Italy, the Czech Republic, Slovakia, Poland and Germany.

It is in your best interest to complete Modern Algebra and Intro to Analysis before you go.

Departmental Research Projects

Students may work during the summer on mathematical projects under the direction of a member of the department. The projects vary from mathematical research (usually juniors and seniors) to assisting professors on publishing projects.

Teaching and Counseling Assistantships

Motivated middle and high school students need teaching assistants and counselors. Visit the following websites for requirements and applications.

Microsoft Summer Internships
Microsoft offers internships in a variety of fields, which has led to employment for at least one Smith mathematics major.

United States Census Bureau
The bureau offers internships in a variety of fields, including mathematical analysis and information technology.

SURF

There are opportunities to undertake a paid 10-week summer research project in math at Smith. This can be a rewarding experience. If you are interested, ask your professors for possibilities. Possible projects are announced in December/January.

Research Experience for Undergraduates

In addition to opportunities at Smith, there are many Research Experience for Undergraduates (REU) programs across the country that you can apply for.

George Washington University, Carleton College and St. Olaf College host summer programs for undergraduate women in mathematics.

Joint Program in Survey Methodology
This program combines paid summer research assistantships at federal statistical agencies in Washington, D.C., and ongoing educational seminars in survey research.

Summer Institute for Training Biostatistics (SIBS)
SIBS offers a comprehensive summer training course on biostatistics for undergraduates to help address a growing imbalance between the demand and supply for biostatisticians.

IBM Research Intern Program
IBM notes, “No matter where discovery takes place, IBM Researchers push the boundaries of science, technology and business to make the world work better. Our global network of scientists work on a range of applied and exploratory research projects to help clients, governments and universities apply scientific breakthroughs to solve real-world business and societal challenges.”

Park City Mathematics Institute
This residential summer institute in Park City, Utah, offers an intensive, three-week program for undergraduates in mathematics.

National Security Agency (NSA) Summer Internships
The NSA offers a variety of internships in the mathematical sciences and applied fields, including cryptanalysis and computer science.

Postbaccalaureate Program

The Center for Women in Mathematics is a place for women to get intensive training at the advanced level and an opportunity to study in a community that is fun, friendly and serious about math. Build the skills and confidence needed to continue on to graduate school.

THE MATH POSTBACC

Contact Department of Mathematical Sciences

Clark Science Center
Smith College
Burton Hall 115
Northampton, MA 01063

Phone: 413-585-4324

administrative coordinator
Amy Donahue