# Mathematics Undergraduate Major (BS, HBS)

**This major offers the following option(s):**

The BS degree in Mathematics requires a common core of courses at the lower-division level and junior-level followed by senior-level depth and breadth requirements. The upper-division requirements in the major total 45–50 credits. Thus, a mathematics major has ample opportunity to take further mathematics courses focused toward specific interests and career goals. Programs supporting interdisciplinary interests are strongly encouraged.

**Major Code:** **560**

- Demonstrate mathematical reasoning skills by reading, writing, and explaining formal definitions, theorems, and proofs.
- Analyze mathematical problems by applying the theory and techniques from a variety of mathematical perspectives.
- Use computational technology to support problem solving and mathematical understanding.
- Use mathematical concepts and techniques to recognize, formulate and analyze questions from another discipline.
- Communicate mathematics effectively.

The following requirements are specific to the BS degree in Mathematics. Students must also satisfy OSU degree and baccalaureate core requirements.

A grade of at least C– and a GPA of 2.25 are required in all mathematics courses used to fulfill degree requirements. No course used to fulfill requirements for the mathematics major or any of its options may be taken S/U.

Code | Title | Credits |
---|---|---|

Lower-Division Requirements | ||

MTH 251 | *DIFFERENTIAL CALCULUS | 4 |

MTH 252 | INTEGRAL CALCULUS | 4 |

MTH 253 | INFINITE SERIES AND SEQUENCES | 4 |

MTH 254 | VECTOR CALCULUS I | 4 |

MTH 255 | VECTOR CALCULUS II | 4 |

MTH 256 | APPLIED DIFFERENTIAL EQUATIONS | 4 |

PH 211 | *GENERAL PHYSICS WITH CALCULUS | 4 |

Upper-Division Requirements: | ||

Part A. Required Mathematics Core Classes | ||

MTH 311 & MTH 312 | ADVANCED CALCULUS I and ADVANCED CALCULUS II | 8 |

MTH 341 | LINEAR ALGEBRA I | 3 |

MTH 342 | LINEAR ALGEBRA II | 4 |

MTH 343 | INTRODUCTION TO MODERN ALGEBRA | 4 |

MTH 355 | DISCRETE MATHEMATICS | 3 |

Select one of the following writing intensive courses (WIC): | 3 | |

^MATHEMATICAL MODELING | ||

^FUNDAMENTAL CONCEPTS OF TOPOLOGY | ||

^NON-EUCLIDEAN GEOMETRY | ||

Part B: Computational Requirement | ||

Select one of the following (can be used to satisfy one requirement in either Part C or Part D): | 3 | |

INTRODUCTORY APPLICATIONS OF MATHEMATICAL SOFTWARE | ||

INTRODUCTION TO NUMERICAL ANALYSIS | ||

COMPUTATIONAL NUMBER THEORY | ||

APPLIED AND COMPUTATIONAL ALGEBRA | ||

NUMERICAL LINEAR ALGEBRA | ||

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS | ||

Part C: Area Course Work | ||

Select 15 credits from the following six areas: ^{1} | 15 | |

Algebra and Number Theory | ||

COMPUTATIONAL NUMBER THEORY | ||

APPLIED AND COMPUTATIONAL ALGEBRA | ||

APPLIED AND COMPUTATIONAL ALGEBRA | ||

ABSTRACT LINEAR ALGEBRA (cannot be used in a pair to satisfy (a)) | ||

Analysis | ||

REAL ANALYSIS | ||

MULTIVARIABLE ADVANCED CALCULUS | ||

COMPLEX VARIABLES ( cannot be used in a pair to satisfy (a)) | ||

Applied Mathematics | ||

MODELS AND METHODS OF APPLIED MATHEMATICS | ||

INTRODUCTION TO MATHEMATICAL BIOLOGY | ||

STOCHASTIC ELEMENTS IN MATHEMATICAL BIOLOGY | ||

SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS ^{3} | ||

APPLIED ORDINARY DIFFERENTIAL EQUATIONS ^{3} | ||

APPLIED PARTIAL DIFFERENTIAL EQUATIONS | ||

Geometry and Topology | ||

METRIC SPACES AND TOPOLOGY | ||

INTRODUCTION TO DIFFERENTIAL GEOMETRY | ||

DIFFERENTIAL GEOMETRY | ||

GENERAL RELATIVITY | ||

Numerical Analysis | ||

NUMERICAL LINEAR ALGEBRA | ||

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS | ||

NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS | ||

Probability | ||

PROBABILITY I | ||

PROBABILITY II | ||

PROBABILITY III | ||

ACTUARIAL MATHEMATICS | ||

Part D: Electives | ||

Select two additional upper division electives of a mathematical nature ^{2} | 6 | |

Total credits required for graduation | 180 |

^{1} | Mathematics courses at the 400 level are offered in the 6 areas listed. Five 400-level classes satisfying (a) and (b) are required. (a) (b) |

^{2} | This includes non-blanket numbered (not X99- or X0X-numbered) upper-division MTH courses, upper-division ST courses, or other courses of a mathematical nature approved by the departmental head advisor. MTH 390 is not allowed. |

^{3} | MTH 480 and MTH 481 cannot both be used to satisfy program requirements |

* | Baccalaureate Core Course (BCC) |

^ | Writing Intensive Course (WIC) |

**Major Code:** **560**