*This is the first version of the 2024–25 General Catalog. Please check back regularly for changes. The final edition and the historical PDF will be published during the fall semester.*

## Learning Outcomes

Students:

- have a broad foundational knowledge of mathematics, preparing them to teach a wide variety of mathematics courses at any four-year college or university in the United States, work in a wide variety of business, industry, and government positions, and hold leadership positions in these organizations;
- can identify and develop new lines of investigation that push forward frontiers of research;
- can bring together problem-solving tools to make new discoveries, including locating and understanding the most current research literature, and working with interdisciplinary collaborators; and
- can communicate mathematics via professional writings and presentations at a level appropriate to the audience, from the general public to technical experts.

The Master of Science program in mathematics requires a minimum of 30 s.h. of graduate credit. Students earn the degree through courses and comprehensive examinations. There is no MS thesis. Requirements (courses and comprehensive examination areas) may be modified with the department's consent. Graduate students in mathematics must have departmental approval to earn credit for any of the courses numbered between 3000 and 4999. Analysis and computation graduate students in mathematics may not earn credit for MATH:4010 Basic Analysis and MATH:4020 Basic Abstract Algebra.

Four different programs (I, II, III, and IV) lead to the MS in mathematics.

## Program I

Program I prepares students for further study of pure and applied mathematics and for employment in government and business. Students in Program I take several courses and pass two comprehensive examinations. They must earn a grade of B-minus or higher in six of the courses and maintain a grade-point average (GPA) of at least 2.75 in all mathematics courses taken for the degree.

Program I requires the following courses.

Course # | Title | Hours |
---|---|---|

MATH:5000 & MATH:5010 | Abstract Algebra I-II | 6 |

MATH:5200 & MATH:5210 | Introduction to Analysis I-II | 6 |

MATH:5400 | Fundamental Groups and Covering Spaces | 3 |

MATH:5410 | Introduction to Smooth Manifolds | 3 |

MATH:5600 | Nonlinear Dynamics with Numerical Methods | 3 |

MATH:5700 | Introduction to Partial Differential Equations | 3 |

The two comprehensive examinations are chosen from algebra, analysis, differential equations, and topology.

## Program II

Program II is designed for secondary school teachers. Program II requirements are similar to those for Programs I and III, but Program II students complete two mathematics education courses and a minimum of 24 s.h. in Department of Mathematics courses. The following courses may be used to satisfy the program II mathematics course requirements.

Course # | Title | Hours |
---|---|---|

MATH:3600 | Introduction to Ordinary Differential Equations | 2-3 |

Mathematics courses (prefix MATH) numbered 4000 or above |

Students are encouraged to consult with the mathematics education faculty when planning their course of study.

## Program III

Program III focuses on applied mathematics. Students in Program III take several courses and pass two comprehensive examinations. Students must earn a grade of B-minus or higher in six of the courses and maintain a GPA of at least 2.75 in all mathematics courses taken for the degree.

Program III requires the following courses.

Course # | Title | Hours |
---|---|---|

All of these: | ||

MATH:5200 & MATH:5210 | Introduction to Analysis I-II | 6 |

MATH:5600 | Nonlinear Dynamics with Numerical Methods | 3 |

MATH:5700 | Introduction to Partial Differential Equations | 3 |

MATH:5800 | Numerical Methods I | 3 |

MATH:5810 | Numerical Methods II | 3 |

Two elective courses from these: | ||

MATH:4060 | Discrete Mathematical Models | 3 |

MATH:4700 | Partial Differential Equations and Applications | 3 |

MATH:4820 | Optimization Techniques | 3 |

MATH:5400 | Fundamental Groups and Covering Spaces | 3 |

MATH:5410 | Introduction to Smooth Manifolds | 3 |

MATH:5750 | Mathematical Biology I | 3 |

MATH:5760 | Mathematical Biology II | 3 |

The two comprehensive examinations are chosen from analysis, differential equations, numerical analysis, and topology.

## Program IV

Program IV is designed for nondepartmental students working toward a PhD in areas of study that require mathematical knowledge. The program has no specific required courses.

Students in Program IV are considered to have passed the comprehensive examination for the master's degree in mathematics if they have maintained a GPA of at least 3.00 in all mathematics courses taken for the MS in mathematics and have successfully completed the PhD comprehensive examination in their area of study.

Students in Program IV are assigned a mathematics advisor, who works with them and their major advisor to plan an appropriate curriculum for the MS in mathematics. A suitable program of study should be approved by a mathematics advisor before the student takes the PhD comprehensive examination, and a member of the mathematics faculty should serve on the PhD comprehensive examination committee.

Applicants must meet the admission requirements of the Graduate College; see the Manual of Rules and Regulations on the Graduate College website. Applicants to the PhD program have preference for admission and funding.

Admission to Programs I, II, and III is competitive and based on a combination of undergraduate coursework and grades, letters of recommendation, and test scores. Numerical standards change every year or so; exceptions may be made to the following guidelines.

Applicants must have completed work in an undergraduate program equivalent to the major in mathematics offered by the University of Iowa Department of Mathematics with an undergraduate grade-point average of at least 3.20. Relevance and difficulty of courses are considered when evaluating grades; grades of C or lower in mathematics courses must be balanced by grades of A. Individuals whose preparation does not meet this requirement may be admitted conditionally and are asked to take specific courses that cover deficiencies.

All applicants must submit three letters of recommendation.

The Pomerantz Career Center offers multiple resources to help students find internships and jobs.