Course Offerings
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Winter 2025▲
See complete information about these courses in the course offerings database. For more information about a specific course, including course type, schedule and location, click on its title.
The Art of Mathematical Thinking: Solving Puzzles and Breaking Codes
MATH 100B - Finch-Smith, Carrie
Did you ever want to spend an entire term playing with puzzles and reading secret messages? Now's your chance! We'll solve lots and lots of puzzles in this class, including sudoku, piccross, logic grid, takuzu, monorail, sumoku, and masyu puzzles, and many variations of these. We'll also discuss a variety of historical cryptography methods. In addition to practicing encoding and decoding messages, we'll also discover how to decrypt secret messages when we don't know some crucial information.
Topic: The Joy of Mathematics: An Introduction to Modern Mathematics through Effective Thinking
MATH 100H - Colbert, Cory
In this course, we will discuss a variety of interesting mathematical concepts such as Fibonacci numbers, sequences, voting theory, graphs, four dimensions, and even infinity. A central goal in this course will be not just to explore modern mathematical concepts, but to develop a systematic course of inquiry for any question you may face. No background is required, and all are welcome!
Calculus I
MATH 101 - Ahsani, Sima
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus I
MATH 101 - Colbert, Cory
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus I
MATH 101 - Bush, Michael
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus I
MATH 101 - Gamage, Kumudu
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus II
MATH 102 - Migdail-Smith, Jacob
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
Calculus II
MATH 102 - Wang, Chong
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
Multivariable Calculus
MATH 221 - Dresden, Gregory
Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.
Linear Algebra
MATH 222 - Denne, Elizabeth
Linear algebra is the backbone of much of mathematics. Students in this course learn to identify and explain the basic principles, terminology, and theories used in linear algebra, and apply quantitative and/or qualitative reasoning skills to solve problems posed in linear algebra, primarily through applications of to both mathematics and the sciences, and also by writing proofs In mathematics.
Linear Algebra
MATH 222 - Dresden, Gregory
Linear algebra is the backbone of much of mathematics. Students in this course learn to identify and explain the basic principles, terminology, and theories used in linear algebra, and apply quantitative and/or qualitative reasoning skills to solve problems posed in linear algebra, primarily through applications of to both mathematics and the sciences, and also by writing proofs In mathematics.
Bridges to Advanced Math
MATH 225 - Broda, James
The course explores various important mathematical constructions and ideas, with a particular emphasis on mathematical inquiry and reasoning. Topics include: sets, functions, equivalence relations, modular arithmetic, and basic properties of the integers, real numbers, and complex numbers.
Mathematical Statistics
MATH 310 - Prince Nelson, Sybil
Sampling distributions, point and interval estimation, testing hypotheses, regression and correlation, and analysis of variance.
Real Analysis
MATH 311 - Denne, Elizabeth
A systematic study of concepts basic to calculus, such as topology of the real numbers, limits, differentiation, integration, sequences and series. Additional topics vary by instructor.
Real Analysis
MATH 311 - Migdail-Smith, Jacob
A systematic study of concepts basic to calculus, such as topology of the real numbers, limits, differentiation, integration, sequences and series. Additional topics vary by instructor.
Abstract Algebra
MATH 321 - Ahsani, Sima
An introduction to basic algebraic structures common throughout mathematics. These include rings, fields, groups, homomorphisms and quotient structures. Additional topics vary by instructor.
Ordinary Differential Equations
MATH 332 - Gamage, Kumudu
First and second order differential equations, systems of differential equations, and applications. Techniques employed are analytic, qualitative, and numerical.
Geometry
MATH 343 - McRae, Alan
This course is an introduction to geometric techniques through study of Euclidean and non-Euclidean geometries and their transformations. Additional topics vary by instructor.
Topics in Abstract Algebra: Group Actions and Galois Theory
MATH 392D - Bush, Michael
Many interesting and useful results have been proved by studying the way in which groups act on various objects. In this course, we'll study group actions on sets and fields. Some of the highlights will include a discussion of the Sylow theorems which provide a partial converse to Lagrange's theorem for finite groups. We'll also see why there is no general formula (like the quadratic formula) for the roots of polynomials of degree 5 or higher.
Directed Individual Study: Topics in Biostatistics
MATH 401P - Prince Nelson, Sybil
Individual conferences.
Directed Individual Study: Patterns in Nonlocal Ternary Systems, Part II of Modeling and Analysis of Multi-Constituent Systems
MATH 401Q - Wang, Chong
This course is a continuation of the "Modeling and Analysis of Multi-Constituent Systems" course. After exploring patterns in binary systems, we will delve into patterns in ternary systems. The total energy of these systems involves two competing forces, resulting in the emergence of intricately structured patterns. Students will engage in hands-on numerical simulations to investigate the minimizers of nonlocal ternary systems.
Honors Thesis
MATH 493 - Prince Nelson, Sybil
Honors Thesis.
Honors Thesis
MATH 493 - Finch-Smith, Carrie
Honors Thesis.
Fall 2024▲
See complete information about these courses in the course offerings database. For more information about a specific course, including course type, schedule and location, click on its title.
The Art of Mathematical Thinking: Solving Puzzles and Breaking Codes
MATH 100B - Finch-Smith, Carrie
Did you ever want to spend an entire term playing with puzzles and reading secret messages? Now's your chance! We'll solve lots and lots of puzzles in this class, including sudoku, piccross, logic grid, takuzu, monorail, sumoku, and masyu puzzles, and many variations of these. We'll also discuss a variety of historical cryptography methods. In addition to practicing encoding and decoding messages, we'll also discover how to decrypt secret messages when we don't know some crucial information.
The Art of Mathematical Thinking: The Mathematics of Tilings and Patterns
MATH 100E - Dresden, Gregory
In this course we study tiling and counting proofs for many famous formulas involving the Fibonacci numbers, the Lucas numbers, continued fractions, and binomial coefficients. No prior knowledge is needed.
The Art of Mathematical Thinking: Mathematical Perspectives on Art
MATH 100F - McRae, Alan
A fusion of mathematical ideas with the practical aspects of fine art, designed for liberal arts students and highly activity-based. Each subject begins with a hands-on art activity to introduce the mathematics being taught.
Calculus I
MATH 101 - Migdail-Smith, Jacob
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus I
MATH 101 - Gamage, Kumudu
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus I
MATH 101 - Prince Nelson, Sybil
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus I
MATH 101 - Dresden, Gregory
An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.
Calculus II
MATH 102 - Denne, Elizabeth
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
Calculus II
MATH 102 - Ahsani, Sima
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
Introduction to Statistics
MATH 118 - Broda, James
Elementary probability and counting. Mean and variance of discrete and continuous random variables. Central Limit Theorem. Confidence intervals and hypothesis tests concerning parameters of one or two normal populations.
Discrete Mathematics I
MATH 121 - Broda, James
A study of concepts fundamental to the analysis of finite mathematical structures and processes. These include logic and sets, algorithms, induction, the binomial theorem, and combinatorics.
Multivariable Calculus
MATH 221 - Wang, Chong
Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.
Multivariable Calculus
MATH 221 - McRae, Alan
Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.
Linear Algebra
MATH 222 - Migdail-Smith, Jacob
Linear algebra is the backbone of much of mathematics. Students in this course learn to identify and explain the basic principles, terminology, and theories used in linear algebra, and apply quantitative and/or qualitative reasoning skills to solve problems posed in linear algebra, primarily through applications of to both mathematics and the sciences, and also by writing proofs In mathematics.
Bridges to Advanced Math
MATH 225 - Bush, Michael
The course explores various important mathematical constructions and ideas, with a particular emphasis on mathematical inquiry and reasoning. Topics include: sets, functions, equivalence relations, modular arithmetic, and basic properties of the integers, real numbers, and complex numbers.
Probability
MATH 309 - Prince Nelson, Sybil
Probability, probability density and distribution functions, mathematical expectation, discrete and continuous random variables, and moment generating functions.
Real Analysis
MATH 311 - Ahsani, Sima
A systematic study of concepts basic to calculus, such as topology of the real numbers, limits, differentiation, integration, sequences and series. Additional topics vary by instructor.
Abstract Algebra
MATH 321 - Dresden, Gregory
An introduction to basic algebraic structures common throughout mathematics. These include rings, fields, groups, homomorphisms and quotient structures. Additional topics vary by instructor.
Ordinary Differential Equations
MATH 332 - Gamage, Kumudu
First and second order differential equations, systems of differential equations, and applications. Techniques employed are analytic, qualitative, and numerical.
Partial Differential Equations
MATH 333 - Wang, Chong
An introduction to the study of boundary value problems and partial differential equations. Topics include modeling heat and wave phenomena, Fourier series, separation of variables, and Bessel functions. Techniques employed are analytic, qualitative, and numerical.
Geometry
MATH 343 - Denne, Elizabeth
This course is an introduction to geometric techniques through study of Euclidean and non-Euclidean geometries and their transformations. Additional topics vary by instructor.
Combinatorics
MATH 363 - Bush, Michael
Topics include counting methods, permutations and combinations, binomial identities, recurrence relations. generating functions, special sequences, partitions, and other topics as time and student interest permit.
Topics in Abstract Algebra: Analyzing Mathematical Puzzles and Games using Abstract Algebra
MATH 392C - Finch-Smith, Carrie
The Rubik's cube is an example of a permutation puzzle - every twist of the cube permutes the colored tiles on the surface. There are many other permutation puzzles out there, and in this class, we'll see how to use the theory of permutation groups to gain insights into solving these puzzles. In addition to using abstract algebra, we will employ tools from combinatorics and graph theory to analyze mathematical puzzles and games.
Directed Individual Study: Coverings of the Integers
MATH 401D - Finch-Smith, Carrie
Students will explore coverings of the integers as a number theoretic tool, using both theoretical and computational methods. Applications of coverings will be emphasized, particularly in the construction of Sierpinski and Riesel numbers.
Directed Individual Study: Putnam Preparation
MATH 401H - Bush, Michael
An investigation of various problem-solving techniques in preparation for the Putnam math competition. Students are required to register for and take the Putnam (which consists of two three-hour sessions on the first Saturday in December) as part of this course.
Directed Individual Study: Modeling and Analysis of Multi-Constituent Systems
MATH 401L - Wang, Chong
This course explores pattern formation in complex physical and biological systems composed of multiple constituents. The total energy of these systems includes two competing forces, leading to the emergence of exquisitely structured patterns. The first part of the course will cover topics such as modeling, Fourier analysis, calculus of variations, Green’s functions, and spectral methods. In the second part, students will engage in hands-on numerical simulations to study the minimizers of these systems.
Directed Individual Study: The Calculus 01 Journey: Engaging and Excelling
MATH 401M - Gamage, Kumudu
Directed Individual Study: Undergraduate Mathematics Review
MATH 401N - Finch-Smith, Carrie / Denne, Elizabeth
Students will review most topics in the mathematics major: Calculus I, II, Multivariable Calculus, Linear Algebra, Real Analysis, Abstract Algebra, Probability, Ordinary Differential Equations, and more. This intense 1 credit class will prepare students to take the Math GRE subject test.
Honors Thesis
MATH 493 - Prince Nelson, Sybil
Honors Thesis.
Honors Thesis
MATH 493 - Finch-Smith, Carrie
Honors Thesis.
Spring 2024▲
See complete information about these courses in the course offerings database. For more information about a specific course, including course type, schedule and location, click on its title.
The Art of Mathematical Thinking: The Mathematics of Tilings and Patterns
MATH 100E - Dresden, Gregory
In this course we study tiling and counting proofs for many famous formulas involving the Fibonacci numbers, the Lucas numbers, continued fractions, and binomial coefficients. No prior knowledge is needed.
MATH260-01/MUS260-01 Statistics in Korean Music
MATH 260 - Prince Nelson, Sybil / Vosbein, Terry
The musical note frequencies of the keys on a piano are Benford distributed as are the works of many classical musicians including Mozart and Beethoven. But what about East Asian music? This course will explore music specifically from South Korea. We will study traditional Korean instruments such as the gayageum and the geomungo and determine whether the music they create is also Benford distributed. A portion of the course will also study the modern genre of K-pop to see if it is more or less Benford than traditional music. Students will also learn the basics of music composition such as key signatures, chord progressions, and instrumentation which will allow them to compose a song in the style of one of the Korean genres.
Topics in Mathematics: Set Theory and Logic
MATH 383F - Beanland, Kevin