# Major in Math - Pure Mathematics Concentration

### Mathematics Major Requirements

All Mathematics majors must take the following required courses.

Code | Title | Units |
---|---|---|

Required Courses | ||

MATH 265 | ELEMENTARY LINEAR ALGEBRA | 4 |

MATH 267 | INTRODUCTION TO ABSTRACT MATHEMATICS | 4 |

MATH 273 | CALCULUS I | 4 |

MATH 274 | CALCULUS II | 4 |

MATH 275 | CALCULUS III | 4 |

Total Units | 20 |

### Pure Mathematics Concentration Requirements

In addition to the 20 units of common requirements for all Mathematics majors, the Pure Mathematics concentration requires 46 units for a total of 66 units. All courses must be completed with a grade equivalent of 2.00 or higher. MATH 490 and minimum six additional upper-level courses in the major must be taken at Towson University.

Code | Title | Units |
---|---|---|

Required Courses | ||

COSC 236 | INTRODUCTION TO COMPUTER SCIENCE I ^{1} | 4 |

MATH 331 | PROBABILITY | 4 |

MATH 369 | INTRODUCTION TO ABSTRACT ALGEBRA | 4 |

MATH 372 | REAL ANALYSIS I | 4 |

MATH 463 | LINEAR ALGEBRA | 3 |

MATH 467 | ALGEBRAIC STRUCTURES | 3 |

MATH 472 | REAL ANALYSIS II | 3 |

MATH 475 | COMPLEX ANALYSIS | 3 |

MATH 490 | SENIOR SEMINAR IN MATHEMATICS ^{2} | 3 |

Electives | ||

Select five upper-level Mathematics (MATH) courses | 15 | |

Select at least two of the following: | ||

APPLIED COMBINATORICS | ||

MATHEMATICAL STATISTICS | ||

EUCLIDEAN AND NON-EUCLIDEAN GEOMETRIES | ||

DIFFERENTIAL EQUATIONS | ||

MATHEMATICAL MODELS | ||

or MATH 439 | COMPUTATIONAL PROBABILITY MODELS | |

FOURIER ANALYSIS WITH APPLICATIONS | ||

Select at least two of the following: | ||

GRAPH THEORY | ||

DIFFERENTIAL GEOMETRY | ||

NUMBER THEORY | ||

TOPOLOGY | ||

Total Units | 46 |

### Departmental Honors Program

The Department of Mathematics offers a departmental honors program for students who demonstrate exemplary abilities in mathematics. The program provides students with an opportunity to work closely with faculty mentors in an individual program of research, directed readings and independent study.

Graduation with departmental honors requires a minimum overall cumulative GPA of 3.33, and successful completion of a two-course research sequence and an honors thesis in mathematics (MATH 499). Departmental honors will be posted to the transcript shortly after the bachelor’s degree is conferred.

Code | Title | Units |
---|---|---|

Required Coursework for Departmental Honors in Mathematics | ||

Research Sequence, Select one of the following: | 6 | |

READINGS IN MATHEMATICS and RESEARCH IN MATHEMATICS | ||

READINGS IN MATH EDUCATION and INDEPENDENT STUDY: RESEARCH IN MATHEMATICS EDUCATION | ||

APPLIED MATHEMATICS LABORATORY I and APPLIED MATHEMATICS LABORATORY II | ||

Thesis Requirement | ||

MATH 499 | HONORS THESIS IN MATHEMATICS | 1 |

Total Units | 7 |

### Suggested Four-Year Plan

Based on course availability and student needs and preferences, the selected sequences will probably vary from those presented below. Students should consult with their adviser to make the most appropriate elective choices.

Freshman | |||
---|---|---|---|

Term 1 | Units | Term 2 | Units |

MATH 273 (Core 3) | 4 | COSC 236^{1} | 4 |

Core 1 (or Core 2) | 3 | MATH 265 | 4 |

Core 4 | 3 | MATH 274 | 4 |

Core 5 | 3 | Core 2 (or Core 1) | 3 |

Elective | 3 | ||

16 | 15 | ||

Sophomore | |||

Term 1 | Units | Term 2 | Units |

MATH 267 | 4 | MATH 331 | 4 |

MATH 275 | 4 | MATH Elective | |

Core 6 | 3 | Core 8 (Recommended: PHYS 242) | 4 |

Core 7 (Recommended: PHYS 241) | 4 | Core 9 | 3 |

Core 10 | 3 | ||

15 | 14 | ||

Junior | |||

Term 1 | Units | Term 2 | Units |

MATH 369 | 4 | MATH 372 | 4 |

MATH Elective | 3 | MATH 463 | 3 |

Core 13 | 3 | MATH Elective | 3 |

Core 14 | 3 | MATH Elective | 3 |

Elective | 3 | Core 11 | 3 |

16 | 16 | ||

Senior | |||

Term 1 | Units | Term 2 | Units |

MATH 467 | 3 | MATH 475 | 3 |

MATH 472 | 3 | MATH 490 | 3 |

Core 12 | 3 | MATH Elective | 3 |

Elective | 3 | Elective | 3 |

Elective | 3 | Elective | 1 |

15 | 13 | ||

Total Units 120 |

- Demonstrate knowledge of the properties of numbers and sets.
- Demonstrate skills and knowledge of appropriate technology used in solving mathematical problems.
- Demonstrate skills and knowledge of the basic concepts of calculus.
- Demonstrate skills and knowledge of linear and abstract algebra.
- Demonstrate skills and knowledge of basic probability and/or statistics.