# Mathematics

## Classes

### MATH 101 : Statistics

Every field of inquiry that deals with data uses methods of descriptive statistics to summarize and describe their data.  Every field of inquiry that deals with data seeks to draw inference beyond the available data.  This course introduces widely-used methods of descriptive statistics and methods of statistical inference through the lens of applied mathematics.  This course is not recommended to students who have taken and passed BIO 205.

3

#### Prerequisites

A solid background in high-school algebra

### MATH 111 : Symbolic Logic

This course, which requires no specific mathematical background, introduces valid deductive reasoning in a precise mathematical context. Students will learn formal languages encompassing elementary propositional and predicate logic, and techniques for assessing the validity of arguments expressible in those languages. Logic is foundational to mathematics, philosophy, and computer science, and indispensable in any reasonable debate.

3

### MATH 121 : Introduction to Computer Science

Computer science is the study of problem-solving strategies called algorithms.  In this course, students will develop the essential skills of programming, examine select algorithms and data structures, and learn the broad strokes of the theory of computing, which includes formal languages, Turing machines, and the notions of universality, computability, and intractability regarding computational problems.

3

#### Prerequisites

A solid background in high-school algebra

### MATH 131 : Network Science

This course is an introduction to the field of network science with an emphasis on the mathematical aspects and properties of networks. A network is an accessible yet powerful structure used to represent and study relationships. In practice, networks model different phenomena arising in fields such as biology, economics, sociology, computer science, and physics. In this class, we’ll look rigorously at the mathematical structure of networks (this field is often referred to as graph theory), while also considering real world models, such as spread of disease, web link analysis, and financial networks. This course has no prerequisites.

3

### MATH 160 : Liberal Arts Mathematics

This course helps develop quantitative, statistical, and financial literacy, indispensable for an educated, socially engaged person in today’s society. Quantitative literacy involves developing confidence and competence with numbers and measures, and requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Statistical literacy requires understanding of the ways in which data are gathered and represented. Financial literacy requires, besides an understanding of basic personal finance tools like savings and loans, some knowledge of today’s financial and economic realities and a willingness to consider their possible impact on personal finances.

3

### MATH 170 : Calculus I

This course, suitable for students with a strong pre-calculus level background, focuses on Differential Calculus. Students will review properties of functions, learn the concept of mathematical limit, and study the properties and interpretations of the derivative, using some of the more common applications. Time permitting, students will be introduced to integrals and the Fundamental Theorem of Calculus. Calculus is widely used in the sciences, economics, and statistics for modeling and computations.

4

#### Prerequisites

Strong pre-calculus background, including trigonometry, exponentials, and logarithms.

### MATH 171 : Calculus II

This course, suitable for students with a good background in Differential Calculus, focuses on Integral Calculus and Infinite Series. Students will review limits and derivatives, and study the properties and interpretations of the integral, using some of the more common applications. Students will also be introduced to infinite series, and their connection to Differential Calculus. Calculus is widely used in the sciences, economics, and statistics for modeling and computations.

4

#### Prerequisites

A semester of university-level Calculus, or a year of high-school-level Calculus.

### MATH 217 : Linear Algebra

Linear algebra is the study of linear equations, matrices, vectors, linear functions, and vector spaces, as well as the theory and applications of linearity. The central ideas in linear algebra are so powerful that their influence seeps into many other branches of mathematics and statistics, the sciences, engineering, and economics. In this course we will develop a mastery of the particular tools of linear algebra, while making a dedicated effort to understand the concepts behind these tools and the relationships between them.

3

### MATH 270 : Multivariable Calculus

This course is an introduction to mulitvariable calculus. Topics include vectors in the plane and in space, limits and continuity, partial derivatives, directional derivatives, gradiant, tangent planes, multivariable optimization and Lagrange multipliers, multiple integration, vector fields, line integrals, divergence, curl, and the theorems of Green, Gauss and Stokes.

4

#### Prerequisites

MATH 171 or equivalent

### MATH 271 : Introduction to Differential Equations

Basic ideas of mathematical modeling; first order differential equations, first order systems, and linearity.  Other topics selected from Second order equations, forcing, nonlinear systems, Laplace transforms, numerical methods.

3

### MATH 280 : Discrete Mathematics: An Introduction to Advanced Math

Through the lens of discrete mathematics, this course will serve as an introduction to formal proof writing techniques and advanced mathematics. Proof writing is the powerful process of demonstrating through formal argument that a statement or claim is correct in mathematical language. Topics covered in this class include combinatorics (methods of counting things), number theory (study of integers and prime numbers), and graph theory (theoretical study of networks), with an emphasis on creative problem solving and learning to read and write rigorous proofs. While no formal prerequisite is required, a previous math class at SUA or high school equivalent is strongly encouraged.

3

### MATH 290 : Topics in Mathematics

This course provides students opportunities to explore topics in mathematics, such as vector calculus and number theory.

4

#### Prerequisites

Instructor consent required.

### MATH 390 : Advanced Topics in Mathematics

This course provides students opportunities to explore advanced topics in mathematics, such as advanced calculus, complex analysis, abstract algebra, non-Euclidean geometry, and topology.

4

#### Prerequisites

Instructor consent required.