# Courses for AMS Majors

**The B.S. in Applied Mathematics and Statistics** is a joint major that provides the rigor of a BS degree emphasizing topics in applied mathematics and in statistics. Suitable for students interested in employment in many data/quantitatively-oriented fields, or pursuing graduate studies in applied math, quantitative social sciences, natural sciences, or engineering. A combination of 20 courses, totaling 54-59 credit hours, is required to complete the major. Majors will take the requisite QTM coursework, ten required Math/CS courses, and three Math/CS electives.

Please note, students must meet the minimum GPA requirement of 2.0 to graduate with any major or minor from the department.

**All classes counting toward the degree must be taken for a letter grade.**

## QTM Coursework

## Math 111: Calculus I

Limits, continuity, derivatives, antiderivatives, the definite integral.

Prerequisites: None

Credits: 3

## MATH 112: Calculus II

Techniques of integration, exponential and logarithm functions, sequences and series, polar coordinates.

**Prerequisites: MATH 111**

**Credits: 3**

## MATH 211: Multivariable Calculus

Vectors; multivariable functions; partial derivatives; multiple integrals; vector and scalar fields; Green's and Stokes' theorems; divergence theorem.

**Prerequisites: MATH 112 or 112Z**

**Credits: 3**

## MATH 212: Differential Equations

This is a standard first semester Differential Equations course which covers first and second-order differential equations and systems of differential equations, with an emphasis placed on developing techniques for solving differential equations.

**Prerequisites: MATH 112 or 112Z**

**Credits: 3**

## MATH 221: Linear Algebra OR MATH 321: Abstract Vector Spaces

MATH 221: Systems of linear equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors, least squares.

**Prerequisites: MATH 112 or 112Z**

**Credits: 4**

MATH 321: Axiomatic treatment of vector spaces, inner product spaces, minimal polynomials, Cayley Hamilton theorem, Jordan form, and bilinear forms.

**Prerequisites: MATH 250 or 276**

**Credits: 3**

## MATH 250: Foundations of Mathematics

An introduction to theoretical mathematics. Logic and proofs, operations on sets, induction, relations, functions.

**Prerequisites: MATH 112 or 112Z**

**Credits: 3**

## MATH 315: Numerical Analysis

Solution of linear and nonlinear systems of equations, interpolation, least-squares approximation, numerical integration, and differentiation.

**Prerequisites: Math 221 or 275 or 321, and CS 170**

**Credits: 3**

## MATH 361: Probability and Statistics I

Finite and continuous probability theory, distribution models (binomial, geometric, uniform, normal, Poisson, and exponential), the Chebyshev inequality, expectation and variance, moment generating functions, the central limit theorem, and applications.

**Prerequisites: Math 211 or 276**

**Credits: 3**

## MATH 362: Probability and Statistics II

Fundamentals of Statistical Inference: estimation, properties of estimators, methods for comparing estimators, confidence intervals, hypothesis testing, regression, and analysis of variance.

**Prerequisites: MATH 361**

**Credits: 3**

## CS 170: Intro to Computer Science I

Intro to computer science for students who plan serious use of the computer in course work or research. Topics include: fundamental computing concepts, the Linux OS, the X-window system, and the Java programming language. Emphasis on algorithm development with examples highlighting data structures.

**Prerequisites: None**

**Credits: 4**

## Math/CS Electives

2 Math courses chosen from the following: |
||

Math 330 | Intro to Combinatorics | 3 |

Math 345 | Math Modeling | 3 |

Math 347 | Intro to Nonlinear Optimization | 3 |

Math 346 | Intro to Optimization Theory | 3 |

Math 351 | Partial Differential Equations | 3 |

Math 352 | PDEs in Action | 3 |

Math 411 | Real Analysis I | 3 |

Math 412 | Real Analysis II | 3 |

1 additional course chosen from the following: |
||

Class Number |
Class Name |
Credit Hours |

CS 171 | Intro to Computer Science II | 3 |

Additional CS course at the 200-level or above* |
3 | |

Additional MATH course at the 300-level or above* |
3 |