# Mathematics B.A./B.S.

The degree program requires a basic core of courses, but it also has the flexibility that allows students to pursue special areas of interest in mathematics. The program is designed to provide a foundation for more advanced work and/or a basis for employment in government, industry, or secondary education. A joint degree in mathematics with computer science, business administration, economics, physics, or some other area may give a student additional opportunities for employment upon graduation.

The department attempts to offer as many courses as possible after 4 p.m. on a rotating schedule so that a degree may be pursued by either day or evening enrollment.

## Requirements

In addition to meeting the general University degree requirements, the major in mathematics must complete the following requirements:

### Courses

Mth 251 | Calculus I | 4 |

Mth 252 | Calculus II | 4 |

Mth 253 | Calculus III | 4 |

Mth 261 | Introduction to Linear Algebra | 4 |

Mth 254 | Calculus IV | 4 |

Mth 256 | Applied Differential Equations I | 4 |

Mth 271 | Mathematical Computing | 4 |

or | ||

CS 161 | Introduction to Programming and Problem-Solving | 4 |

Mth 311 | Introduction to Mathematical Analysis I | 4 |

Mth 312 | Introduction to Mathematical Analysis II | 4 |

Mth 344 | Introduction to Group Theory and Applications | 4 |

### One of the following: (3-4 credits)

Mth 338 | Modern College Geometry | 4 |

Mth 345 | Introduction to Ring and Field Theory | 4 |

Mth 346 | Number Theory | 4 |

Mth 444 | Advanced Linear/Multilinear Algebra I | 3 |

### Additional Requirements chosen from Approved List of courses-sequences

Mth/Stat (one) | Approved two-term 400-level Mth or Stat sequence | 6 |

Mth/Stat (two) | Approved 400-level Mth or Stat courses | 6-7 |

Mth/Stat (two) | Approved 300- or 400-level Mth or Stat courses | 6-8 |

### Approved electives are:

Mth 300 | Introduction to Mathematical Reasoning | 4 |

Mth 313 | Advanced Multivariate Calculus | 4 |

Mth 322 | Applied Partial Differential Equations | 4 |

Mth 324 | Vector Analysis | 4 |

Mth 338 | Modern College Geometry | 4 |

Mth 343 | Applied Linear Algebra | 4 |

Mth 345 | Introduction to Ring and Field Theory | 4 |

Mth 346 | Number Theory | 4 |

Mth 356 | Discrete Mathematics | 4 |

Mth 411 | Introduction to Real Analysis I | 3 |

Mth 412 | Introduction to Real Analysis II | 3 |

Mth 413 | Introduction to Real Analysis III | 3 |

Mth 420 | Introduction to Complexity Theory | 3 |

Mth 421 | Theory of Ordinary Differential Equations I | 3 |

Mth 422 | Theory of Ordinary Differential Equations II | 3 |

Mth 423 | Theory of Ordinary Differential Equations III | 3 |

Mth 424 | Elementary Differential Geometry I | 3 |

Mth 425 | Elementary Differential Geometry II | 3 |

Mth 427 | Partial Differential Equations I | 3 |

Mth 428 | Partial Differential Equations II | 3 |

Mth 430 | Topics in Mathematical Modeling | 3 |

Mth 431 | Topics in Geometry I | 3 |

Mth 432 | Topics in Geometry II | 3 |

Mth 433 | Topics in Geometry III | 3 |

Mth 434 | Set Theory and Topology I | 3 |

Mth 435 | Set Theory and Topology II | 3 |

Mth 436 | Set Theory and Topology III | 3 |

Mth 440 | Boolean Algebra | 4 |

Mth 441 | Introduction to Abstract Algebra I | 3 |

Mth 442 | Introduction to Abstract Algebra II | 3 |

Mth 443 | Introduction to Abstract Algebra III | 3 |

Mth 444 | Advanced Linear/Multilinear Algebra I | 3 |

Mth 445 | Advanced Linear/Multilinear Algebra II | 3 |

Mth 449 | Topics in Advanced Number Theory | 3 |

Mth 451 | Numerical Calculus I | 3 |

Mth 452 | Numerical Calculus II | 3 |

Mth 453 | Numerical Calculus III | 3 |

Mth 456 | Topics in Combinatorics | 3 |

Mth 457 | The Mathematical Theory of Games | 3 |

Mth 458 | The Mathematical Theory of Games | 3 |

Mth 461 | Graph Theory I | 3 |

Mth 462 | Graph Theory II | 3 |

Mth 470 | Complex Analysis and Boundary Value Problems I | 3 |

Mth 471 | Complex Analysis and Boundary Value Problems II | 3 |

Mth 472 | Complex Analysis and Boundary Value Problems III | 3 |

Mth 477 | Mathematical Control Theory I | 3 |

Mth 478 | Mathematical Control Theory II | 3 |

Mth 481 | Topics in Probability for Mathematics Teachers | 3 |

Mth 482 | Topics in Statistics for Mathematics Teachers | 3 |

Mth 483 | Topics in Geometry for Mathematics Teachers | 3 |

Mth 484 | Topics in Algebra for Mathematics Teachers | 3 |

Mth 485 | Topics in Analysis for Mathematics Teachers | 3 |

Mth 486 | Topics in The History of Mathematics | 3 |

Mth 487 | Topics in Discrete Mathematics for Mathematics Teachers | 3 |

Mth 488 | Topics in Computing for Mathematics Teachers | 3 |

Stat 451 | Applied Statistics for Engineers and Scientists I | 4 |

Stat 452 | Applied Statistics for Engineers and Scientists II | 3 |

Stat 461 | Introduction to Mathematical Statistics I | 3 |

Stat 462 | Introduction to Mathematical Statistics II | 3 |

Stat 463 | Introduction to Mathematical Statistics III | 3 |

Stat 464 | Applied Regression Analysis | 3 |

Stat 465 | Experimental Design: Theory and Methods | 3 |

Stat 466 | Experimental Design: Theory and Methods | 3 |

Stat 467 | Applied Probability I | 3 |

Stat 468 | Applied Probability II | 3 |

Check with the department for the list of approved Mth or Stat sequences and for additional courses, including omnibus-numbered courses, which may be approved as electives.

Total Credit Hours: 61-65

All courses used to satisfy the departmental major requirements, whether taken in the department or elsewhere, must be graded C-, P, or above, but no more than 4 courses graded P will count toward these requirements. Transfer students majoring in mathematics are required to take a minimum of 15 credits of PSU upper-division mathematics or statistics courses in residence.