The minor in Applied Mathematics was developed to provide in-depth training in mathematical techniques and computational methods well beyond the training usually received by science and engineering majors. The minor in Applied Mathematics currently offers three tracks: General Emphasis, Scientific Computing and Mathematical Software, or Probability and Statistics. The goals of each track are to introduce students to more advanced mathematical techniques and problem-solving strategies. Such skills are becoming increasingly important for students who expect to participate in areas requiring analysis or modeling of real world situations.

Prerequisites for the Applied Math minor are two semesters of calculus and computing experience such as provided by CSCI 13XX or COEN 1300 (formerly GEEN 1300).

## Residency

A *minimum* of 20 credits at the 2000-level and above is required. At least three applied mathematics courses, two of which must be at the 3000-level or above, need to be taken on the Boulder campus. No more than nine credit hours may be applied from transfer work; of those nine, no more than six may be 3000-level or above.

## Minimum Grades

A cumulative GPA of 2.00 or better is required in the courses that are used to satisfy the requirements for this minor. Each individual course that is counted towards these degree requirements must be passed with a grade of C- or better.

## Course Requirements

APPM 2350 or MATH 2400 |
4 cr. |
Calculus III |

APPM 2360 |
4 cr. |
Differential Equations with Linear Algebra |

APPM 3310 |
3 cr. |
Matrix Methods and Applications |

And **ONE** of the following areas of emphasis:

### General Emphasis:

Choose **TWO** of the following three courses

APPM 4600 |
4 cr. |
Numerical Methods and Scientific Computing |

APPM 4350 |
3 cr. |
Fourier Series and Boundary Value Problems |

APPM 4360 |
3 cr. |
Complex Variable and Applications |

and ONE other 3-credit upper division applied math course at the 3000 or 4000 level

### Scientific Computation Emphasis:

APPM 3050* |
3 cr. |
Scientific Computing Matlab |

APPM 4600/4610 |
8 cr. |
Numerical Methods and Scientific Computing/Numerical Differential Equations |

*APPM 3050 is not appropriate for junior or senior Aerospace majors. |

### Probability and Statistics Emphasis:

APPM 3570 |
3 cr. |
Applied Probability |

and ONE of the following sequences:

STAT 4000/4010 |
6 cr. |
Statistical Methods and Applications 1 / Statistical Methods and Applications 2 |

STAT 4100 and STAT 4520 |
6 cr. |
Markov Chains / Mathematical Statistics (Theoretical Focus) |

A student cannot earn a minor in Statistics and a minor in Applied Mathematics with the probability and statistics emphasis