Course Offerings
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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 E.
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 P.
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 - McRae, Alan
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 J.
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 P.
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 J.
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 - McRae, Alan
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 R.
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 P.
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 J.
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 J.
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 R.
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 E.
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: 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.
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 P.
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 J.
Winter 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 E.
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: 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 - 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 - Gamage, Kumudu J.
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 - Ahsani, Sima
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
Calculus II
MATH 102 - Broda, James
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
Calculus II
MATH 102 - Finch-Smith, Carrie E.
A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.
Multivariable Calculus
MATH 221 - Colbert, Cory H.
Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.
Linear Algebra
MATH 222 - Bush, Michael R.
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 - Denne, Elizabeth J.
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.
Bridges to Advanced Math
MATH 225 - Colbert, Cory H.
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.
Mathematical Statistics
MATH 310 - Broda, James
Sampling distributions, point and interval estimation, testing hypotheses, regression and correlation, and analysis of variance.
Abstract Algebra
MATH 321 - Bush, Michael R.
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 J.
First and second order differential equations, systems of differential equations, and applications. Techniques employed are analytic, qualitative, and numerical.
Ordinary Differential Equations
MATH 332 - Broda, James
First and second order differential equations, systems of differential equations, and applications. Techniques employed are analytic, qualitative, and numerical.
Geometry
MATH 343 - Denne, Elizabeth J.
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: Representations of the Symmetric Groups
MATH 392B - Finch-Smith, Carrie E.
In this course, we introduce representation theory with a focus on the symmetric groups. Group representations can be thought of in terms of matrices or modules. We consider both approaches and the connections between them, and then shift to the associated character theory, with an eye toward characterizing all representations of the symmetric groups.
Directed Individual Study: Wavelet Analysis
MATH 401J - Broda, James
Directed Individual Study: Mathematical Foundations of Machine Learning and Deep Learning
MATH 401K - Ahsani, Sima
Comprehensive course that serves as an in-depth exploration of the mathematical concepts that form the backbone of Machine Learning (ML) and Deep Learning (DL). As machine learning revolutionizes various industries, a solid understanding of the underlying mathematical principles becomes crucial for practitioners and researchers. Throughout this study, students will gain a solid understanding of the fundamental mathematical concepts essential for developing and implementing ML and DL algorithms. The course covers various topics, from linear algebra and statistics with hands-on Python programming to optimization methods specifically tailored for various branches of ML such as computer vision in a supervised learning framework, clustering methods, and dimensionality reduction in an unsupervised learning category.
Directed Individual Study: Advanced Approaches to Coverings of the Integers
MATH 402C - Finch-Smith, Carrie E.
Honors Thesis
MATH 493 - Bush, Michael R.
Honors Thesis.