# Course Offerings

**Jump to:**- Spring 2021
- Winter 2021
- Fall 2020

## Spring 2021▲

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: An Introduction to the Beauty and Power of Mathematical Ideas

**MATH 100 - Beanland, Kevin J.**

Topics vary from term to term. Mathematics is a creative process whose artistic outcome is often a powerful tool for the sciences. This course gives you a new perspective into the world of mathematics while also developing your analytical reasoning skills.

Spring 2021, MATH 100-01: The Art of Mathematical Thinking: A Brief Voyage to the 4th Dimension (4). A beginning look at the geometry of 4-dimensional Euclidean space, including learning some tools for studying 4-dimensional objects, and beginning to understand the difficulties in "seeing" such objects. Students also begin measuring in this 4-dimensional setting. The last week of the course is devoted to group projects and presentations. (FM) Beanland.

Spring 2021, MATH 100-02: The Art of Mathematical Thinking: Solving Puzzles and Games Using Mathematics (3). Any high school mathematics class is sufficient preparation for this material. Students gain a new perspective into the world of mathematics while also developing their analytical and creative reasoning skills. In so doing, they gain an understanding of how theoretical results and concepts can be developed, used for problem-solving or for further investigation, and then how to clearly and coherently communicate their ideas and discoveries to others. In this course, we focus on mathematical reasoning to analyze various puzzles and games, which then leads to figuring out how to increase our chances of winning. The springboard for our discussion comes from the answers to the following questions: 1) Is there a good way to predict the winner of a game before the game ends? 2) Is there a strategy that will improve a player's chance of winning a game? 3) Is the game fair? The answers depend on what we mean by good and fair. We start by carefully and precisely formulating environments in which we can discuss approaches to solving puzzles and playing games. Then, we contemplate criteria that capture the notions of goodness and fairness within these environments. Along the way, students learn the importance of precise definitions and consistent rules of logic in mathematical reasoning. (FM) Finch-Smith.

Winter 2021, MATH 100-02: The Art of Mathematical Thinking: Mathematical Perspectives on Art (3). A fusion of mathematical ideas with 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. (FM) McRae .

Fall 2020, MATH 100-01: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

Fall 2020, MATH 100-02: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

### The Art of Mathematical Thinking: An Introduction to the Beauty and Power of Mathematical Ideas

**MATH 100 - Finch-Smith, Carrie E.**

Topics vary from term to term. Mathematics is a creative process whose artistic outcome is often a powerful tool for the sciences. This course gives you a new perspective into the world of mathematics while also developing your analytical reasoning skills.

Spring 2021, MATH 100-01: The Art of Mathematical Thinking: A Brief Voyage to the 4th Dimension (4). A beginning look at the geometry of 4-dimensional Euclidean space, including learning some tools for studying 4-dimensional objects, and beginning to understand the difficulties in "seeing" such objects. Students also begin measuring in this 4-dimensional setting. The last week of the course is devoted to group projects and presentations. (FM) Beanland.

Spring 2021, MATH 100-02: The Art of Mathematical Thinking: Solving Puzzles and Games Using Mathematics (3). Any high school mathematics class is sufficient preparation for this material. Students gain a new perspective into the world of mathematics while also developing their analytical and creative reasoning skills. In so doing, they gain an understanding of how theoretical results and concepts can be developed, used for problem-solving or for further investigation, and then how to clearly and coherently communicate their ideas and discoveries to others. In this course, we focus on mathematical reasoning to analyze various puzzles and games, which then leads to figuring out how to increase our chances of winning. The springboard for our discussion comes from the answers to the following questions: 1) Is there a good way to predict the winner of a game before the game ends? 2) Is there a strategy that will improve a player's chance of winning a game? 3) Is the game fair? The answers depend on what we mean by good and fair. We start by carefully and precisely formulating environments in which we can discuss approaches to solving puzzles and playing games. Then, we contemplate criteria that capture the notions of goodness and fairness within these environments. Along the way, students learn the importance of precise definitions and consistent rules of logic in mathematical reasoning. (FM) Finch-Smith.

Winter 2021, MATH 100-02: The Art of Mathematical Thinking: Mathematical Perspectives on Art (3). A fusion of mathematical ideas with 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. (FM) McRae .

Fall 2020, MATH 100-01: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

Fall 2020, MATH 100-02: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

### FS: First-Year Seminar

**MATH 180 - McRae, Alan**

First-year seminar.

Spring 2021, MATH 180-01: First-Year Seminar: Math + Art (3). A course in mathematics and art for liberal arts students. Our goal is to explore how some of the greatest mathematical ideas had parallel developments in the world of art, all told through a narrative of culture and the history of ideas. (SC) McRae.

### Bridges to Advanced Mathematics

**MATH 201 - Oldaker, Erica K.**

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.

### Complex Analysis

**MATH 303 - Feldman, Nathan S.**

Algebra of complex numbers, polar form, powers, and roots. Derivatives and geometry of elementary functions. Line integrals, the Cauchy Integral Theorem, the Cauchy Integral formula, Taylor and Laurent Series, residues, and poles. Applications.

### Graph Theory

**MATH 361 - Oldaker, Erica K.**

Graphs and digraphs, trees, connectivity, cycles and traversability, and planar graphs. Additional topics selected from colorings, matrices and eigenvalues, and enumeration.

## Winter 2021▲

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: An Introduction to the Beauty and Power of Mathematical Ideas

**MATH 100 - Finch-Smith, Carrie E.**

Topics vary from term to term. Mathematics is a creative process whose artistic outcome is often a powerful tool for the sciences. This course gives you a new perspective into the world of mathematics while also developing your analytical reasoning skills.

Spring 2021, MATH 100-01: The Art of Mathematical Thinking: A Brief Voyage to the 4th Dimension (4). A beginning look at the geometry of 4-dimensional Euclidean space, including learning some tools for studying 4-dimensional objects, and beginning to understand the difficulties in "seeing" such objects. Students also begin measuring in this 4-dimensional setting. The last week of the course is devoted to group projects and presentations. (FM) Beanland.

Spring 2021, MATH 100-02: The Art of Mathematical Thinking: Solving Puzzles and Games Using Mathematics (3). Any high school mathematics class is sufficient preparation for this material. Students gain a new perspective into the world of mathematics while also developing their analytical and creative reasoning skills. In so doing, they gain an understanding of how theoretical results and concepts can be developed, used for problem-solving or for further investigation, and then how to clearly and coherently communicate their ideas and discoveries to others. In this course, we focus on mathematical reasoning to analyze various puzzles and games, which then leads to figuring out how to increase our chances of winning. The springboard for our discussion comes from the answers to the following questions: 1) Is there a good way to predict the winner of a game before the game ends? 2) Is there a strategy that will improve a player's chance of winning a game? 3) Is the game fair? The answers depend on what we mean by good and fair. We start by carefully and precisely formulating environments in which we can discuss approaches to solving puzzles and playing games. Then, we contemplate criteria that capture the notions of goodness and fairness within these environments. Along the way, students learn the importance of precise definitions and consistent rules of logic in mathematical reasoning. (FM) Finch-Smith.

Winter 2021, MATH 100-02: The Art of Mathematical Thinking: Mathematical Perspectives on Art (3). A fusion of mathematical ideas with 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. (FM) McRae .

Fall 2020, MATH 100-01: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

Fall 2020, MATH 100-02: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

### The Art of Mathematical Thinking: An Introduction to the Beauty and Power of Mathematical Ideas

**MATH 100 - McRae, Alan**

Spring 2021, MATH 100-01: The Art of Mathematical Thinking: A Brief Voyage to the 4th Dimension (4). A beginning look at the geometry of 4-dimensional Euclidean space, including learning some tools for studying 4-dimensional objects, and beginning to understand the difficulties in "seeing" such objects. Students also begin measuring in this 4-dimensional setting. The last week of the course is devoted to group projects and presentations. (FM) Beanland.

Spring 2021, MATH 100-02: The Art of Mathematical Thinking: Solving Puzzles and Games Using Mathematics (3). Any high school mathematics class is sufficient preparation for this material. Students gain a new perspective into the world of mathematics while also developing their analytical and creative reasoning skills. In so doing, they gain an understanding of how theoretical results and concepts can be developed, used for problem-solving or for further investigation, and then how to clearly and coherently communicate their ideas and discoveries to others. In this course, we focus on mathematical reasoning to analyze various puzzles and games, which then leads to figuring out how to increase our chances of winning. The springboard for our discussion comes from the answers to the following questions: 1) Is there a good way to predict the winner of a game before the game ends? 2) Is there a strategy that will improve a player's chance of winning a game? 3) Is the game fair? The answers depend on what we mean by good and fair. We start by carefully and precisely formulating environments in which we can discuss approaches to solving puzzles and playing games. Then, we contemplate criteria that capture the notions of goodness and fairness within these environments. Along the way, students learn the importance of precise definitions and consistent rules of logic in mathematical reasoning. (FM) Finch-Smith.

Winter 2021, MATH 100-02: The Art of Mathematical Thinking: Mathematical Perspectives on Art (3). A fusion of mathematical ideas with 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. (FM) McRae .

Fall 2020, MATH 100-01: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

Fall 2020, MATH 100-02: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

### Calculus I

**MATH 101 - Feldman, Nathan S.**

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 I

**MATH 101 - Beanland, Kevin 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 - Dresden, Gregory P.**

A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.

### Calculus II

**MATH 102 - Bush, Michael R.**

A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.

### Discrete Mathematics I

**MATH 121 - Abrams, Aaron D.**

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.

### Bridges to Advanced Mathematics

**MATH 201 - Oldaker, Erica K.**

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 Mathematics

**MATH 201 - 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.

### Multivariable Calculus

**MATH 221 - Oldaker, Erica K.**

Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.

### Multivariable Calculus

**MATH 221 - Hardy, Stephen R.**

Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.

### Linear Algebra

**MATH 222 - Hardy, Stephen 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.

### 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 - Colbert, Cory H.**

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 - Finch-Smith, Carrie E.**

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 - Feldman, Nathan S.**

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

**MATH 392A - Bush, Michael R.**

Topics vary but can include field and Galois theory, geometric and combinatorial group theory, representation theory, number theory, algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, advanced linear algebra, algebraic coding theory and cryptography, algebraic topology, homological algebra, and graph theory, May be repeated for degree credit if the topic is different.

Winter 2021, MATH 392A-01: Topics in Abstract Algebra: Algebraic Number Theory (3). Prerequisite: MATH 321. Number theory studies questions about the integers (among other things). As an example, the equation x^2 + y^2 = z^2 defines a cone in three-dimensional space. A number theorist might ask for the integer triples (x,y,z) that satisfy this equation. These are also called Pythagorean triples since (ignoring signs) they arise as the side lengths of right-angled triangles. You may be aware that (3,4,5) and (5,12,13) are such triples. Are there others? Can they be described in a systematic fashion? What happens if we change the equation? In this course, we'll see how these sorts of questions can be addressed. Ideas and tools from algebra such as modular arithmetic and the notion of unique factorization in various systems will play central roles. Bush.

### Topics in Geometry and Topology

**MATH 393A - Abrams, Aaron D.**

Topics vary but can include knot theory, topology and geometry of surfaces, differential geometry, Riemann surfaces, 3-manifolds, tilings, geometric probability, geometry of spacetime, finite geometry, computational geometry, differential topology, and projective geometry. May be repeated for degree credit if the topic is different.

Winter 2021, MATH 393A-01: Topics in Geometry and Topology: Experimenting with Geometry (3). Prerequisite: MATH 342 or 343. This course will be run in an experimental format modeled on the notion of a "Geometry Lab." Students will study unsolved problems in geometry, learning whatever background material is relevant for understanding and approaching the selected problems. Topics are likely to include algebraic geometry, hyperbolic geometry, and projective geometry. Abrams.

### Honors Thesis

**MATH 493 - Finch-Smith, Carrie E.**

Honors Thesis.

### Honors Thesis

**MATH 493 - Beanland, Kevin J.**

Honors Thesis.

### Honors Thesis

**MATH 493 - Abrams, Aaron D.**

Honors Thesis.

## Fall 2020▲

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: An Introduction to the Beauty and Power of Mathematical Ideas

**MATH 100 - McRae, Alan**

Spring 2021, MATH 100-01: The Art of Mathematical Thinking: A Brief Voyage to the 4th Dimension (4). A beginning look at the geometry of 4-dimensional Euclidean space, including learning some tools for studying 4-dimensional objects, and beginning to understand the difficulties in "seeing" such objects. Students also begin measuring in this 4-dimensional setting. The last week of the course is devoted to group projects and presentations. (FM) Beanland.

Spring 2021, MATH 100-02: The Art of Mathematical Thinking: Solving Puzzles and Games Using Mathematics (3). Any high school mathematics class is sufficient preparation for this material. Students gain a new perspective into the world of mathematics while also developing their analytical and creative reasoning skills. In so doing, they gain an understanding of how theoretical results and concepts can be developed, used for problem-solving or for further investigation, and then how to clearly and coherently communicate their ideas and discoveries to others. In this course, we focus on mathematical reasoning to analyze various puzzles and games, which then leads to figuring out how to increase our chances of winning. The springboard for our discussion comes from the answers to the following questions: 1) Is there a good way to predict the winner of a game before the game ends? 2) Is there a strategy that will improve a player's chance of winning a game? 3) Is the game fair? The answers depend on what we mean by good and fair. We start by carefully and precisely formulating environments in which we can discuss approaches to solving puzzles and playing games. Then, we contemplate criteria that capture the notions of goodness and fairness within these environments. Along the way, students learn the importance of precise definitions and consistent rules of logic in mathematical reasoning. (FM) Finch-Smith.

Winter 2021, MATH 100-02: The Art of Mathematical Thinking: Mathematical Perspectives on Art (3). A fusion of mathematical ideas with 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. (FM) McRae .

Fall 2020, MATH 100-01: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

Fall 2020, MATH 100-02: The Art of Mathematical Thinking: Viewpoints: Mathematical Perspective and Fractal Geometry in Art (3). A fusion of mathematical ideas with 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. Beginning with the use of perspective, not only in drawing but also in viewing perspective paintings, the exercises serve as motivation for our study of geometry and projective geometry, completing this section with anamorphic art. We then move into fractal geometry in nature and art. (FM) McRae .

### Calculus I

**MATH 101 - Dresden, Gregory P.**

### Calculus I

**MATH 101 - Hardy, Stephen R.**

### Calculus I

**MATH 101 - Beanland, Kevin J.**

### Calculus I

**MATH 101 - Bush, Michael R.**

### Calculus II

**MATH 102 - Dresden, Gregory P.**

A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.

### Calculus II

**MATH 102 - Oldaker, Erica K.**

### Calculus II

**MATH 102 - Bush, Michael R.**

### Bridges to Advanced Mathematics

**MATH 201 - Finch-Smith, Carrie E.**

### Multivariable Calculus

**MATH 221 - Feldman, Nathan S.**

Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.

### Multivariable Calculus

**MATH 221 - Oldaker, Erica K.**

### Linear Algebra

**MATH 222 - Abrams, Aaron D.**

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.

### Probability

**MATH 309 - Prince Nelson, Sybil**

Probability, probability density and distribution functions, mathematical expectation, discrete and continuous random variables, and moment generating functions.

### Abstract Algebra

**MATH 321 - Beanland, Kevin J.**

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 - Feldman, Nathan S.**

First and second order differential equations, systems of differential equations, and applications. Techniques employed are analytic, qualitative, and numerical.

### Geometry

**MATH 343 - Abrams, Aaron D.**

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

**MATH 392A - Finch-Smith, Carrie E.**

Topics vary but can include field and Galois theory, geometric and combinatorial group theory, representation theory, number theory, algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, advanced linear algebra, algebraic coding theory and cryptography, algebraic topology, homological algebra, and graph theory, May be repeated for degree credit if the topic is different.

### Directed Individual Study

**MATH 401 - Colbert, Cory H.**

Individual conferences. May be repeated for degree credit if the topics are different.

### Honors Thesis

**MATH 493 - Finch-Smith, Carrie E.**

Honors Thesis.

### Honors Thesis

**MATH 493 - Beanland, Kevin J.**

Honors Thesis.

### Honors Thesis

**MATH 493 - Abrams, Aaron D.**

Honors Thesis.