# 300

## MTH 301 Vector Calculus

The study of functions in several variables: vectors, matrices, partial derivatives, gradients, optimization, and integration. Differentiation and integration of vector-valued functions, line integrals, surface integrals, curl, divergence, Green's Theorem, and Stokes' Theorem.

4

### Prerequisites

MTH 202 with a grade of C- or higher or permission of instructor.

## MTH 303 Computational Methods in Physical Sciences

Computational techniques for solving physics and chemistry problems as well as for simulating, analyzing, and graphically visualizing physical systems and processes. Offered fall of odd years.
3

### Prerequisites

PHY 204 or PHY 201, MTH 202 with a grade of C- or higher

CHM 303, PHY 303

## MTH 304 Complex Variables

Complex numbers and functions of a complex variable; limits, differentiability; Cauchy's theorem; power series, Laurent series, residue theorem with applications, maximum modulus theorem, Liouville's theorem; conformal mapping and applications.
3

### Prerequisites

MTH 301 with a grade of C- or higher

## MTH 311 Discrete Structures

Topics may include: set theory, logic, methods of proof, combinatorics, recurrence relations, graphs, and Boolean algebra.

3

### Prerequisites

MTH 202 with a grade of C- or better.

## MTH 321 Ordinary Differential Equations

Introduction to elementary ordinary differential equations with applications to physical processes with emphasis on first and second order equations, systems of linear equations, and Laplace transforms.

3

### Prerequisites

MTH 202 with a grade of C- or higher or permission of instructor.

## MTH 322 Partial Differential Equations

Fourier series. Inner product spaces. Solutions to heat, wave, and Laplace's equations. Green's functions.

3

### Prerequisites

MTH 321 with a grade of C- or higher

## MTH 323 Nonlinear Dynamics

This course introduces the basic concepts and techniques in the study of dynamical systems, including nonlinear ordinary differential equations, difference equations, and systems of equations. Using a wide variety of applications from the physical sciences, we will cover analytical methods such as linear stability, bifurcations, phase plane analysis, limit cycles, Lorenz equations, chaos, iterated maps, period doubling, and fractals.

3

MTH 321 and 301

## MTH 332 Graph Theory

This course surveys many of the ideas, methods and applications of graph theory. Topics may include: connectivity, matchings, graph algorithms, network flows, graph colorings, planarity, circuits, cycles, and tournaments.
3

### Prerequisites

MTH 311 with a grade of C- or higher

## MTH 341 Introduction to Linear Algebra

Systems of linear equations and matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors.

3

### Prerequisites

MTH 202 with a grade of C- or higher

## MTH 345 Number Theory

An introduction to the study of the integers and related objects. Topics are taken from among the following: divisibility, primes and the Euclidean algorithm, the Euler phi function, special primes and perfect numbers, congruences mod n, quadratic residues, continued fractions, quadratic forms, Diophantine equations.

3

### Prerequisites

MTH 311 with a grade of C- or higher

## MTH 356 Mathematical Methods for Science and Engineering

Ordinary differential equations, complex variables and matrices are developed and illustrated through applications in physics with emphasis on examples from the fields of vibrations and waves.

3

MTH 202

PHY 356

## MTH 361 Applied Statistics I

An introduction to statistical methods utilized across disciplines. Topics include experimental design, randomization and sampling distributions, tests of statistical significance, normal model, confidence intervals, t-procedures, two-sample comparisons, one-way analysis of variance, simple linear regression, and bootstrapping. The course makes substantial use of programming in a statistical software package.

3

### Prerequisites

MTH 201 with a grade of C- or higher

## MTH 381 Math Modeling

Survey of applied mathematics with an emphasis on modeling problems from science and engineering. Process of formulating the model, solving/simulating, and analyzing/interpreting results. Applications may include: continuous- and discrete-time population models, models of physical and biological phenomena, and statistical models.
3

### Prerequisites

MTH 321 with a grade of C- or higher

## MTH 387 Service Learning in Mathematics

This seminar supports students working in local schools as part of the Outreach Excel Program. Students discuss questioning and group work strategies, classroom management, current school mathematics curriculum, and interaction techniques with middle and high school students. This is a Pass/No Pass course and may be repeated for credit. Does not count towards math major.

1

Credit arranged.

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Credit arranged.

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## MTH 393 Research in Mathematics

Faculty-directed student research. Before enrolling, a student must consult with a faculty member to define project. May be repeated for credit. Credit arranged.

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## MTH 397 Internship

Practical field experience in selected industries or agencies. Department permission and supervision is required. Students may receive an IP (In Progress) grade until the completion of their internship.

Credit arranged.
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