# Bachelor of Science in Mathematics - Pure Mathematics

Code | Title | Credit Hours |
---|---|---|

Wellness | ||

APPH 1040 | Scientific Foundations of Health | 2 |

or APPH 1050 | The Science of Physical Activity and Health | |

Core A - Essential Skills | ||

ENGL 1101 | English Composition I | 3 |

ENGL 1102 | English Composition II | 3 |

MATH 1552 | Integral Calculus | 4 |

Core B - Institutional Options | ||

CS 1301 | Introduction to Computing | 3 |

Core C - Humanities | ||

Any HUM | 6 | |

Core D - Science, Math, & Technology | ||

PHYS 2211 | Introductory Physics I ^{1} | 4 |

PHYS 2212 | Introductory Physics II | 4 |

MATH 1551 | Differential Calculus | 2 |

or MATH 1550 | Introduction to Differential Calculus | |

MATH 1553 | Introduction to Linear Algebra | 2 |

or MATH 1554 | Linear Algebra | |

or MATH 1564 | Linear Algebra with Abstract Vector Spaces | |

Core E - Social Sciences | ||

Select one of the following: | 3 | |

The United States to 1877 | ||

The United States since 1877 | ||

American Government in Comparative Perspective | ||

Government of the United States | ||

American Constitutional Issues | ||

Any SS | 9 | |

Core F - Courses Related to Major | ||

CS 1331 | Introduction to Object Oriented Programming | 3 |

Lab Science | 4 | |

MATH 2551 | Multivariable Calculus | 4 |

or MATH 2561 | Honors Multivariable Calculus | |

MATH 2552 | Differential Equations | 4 |

or MATH 2562 | Honors Differential Equations | |

MATH 2106 | Foundations of Mathematical Proof | 3 |

Bridging Courses | ||

MATH 3012 | Applied Combinatorics | 3 |

MATH 3235 | Probability Theory | 3 |

MATH 3406 | A Second Course in Linear Algebra | 3 |

Upper Level Foundation Courses | ||

MATH 4107 | Introduction to Abstract Algebra I ^{2} | 3 |

MATH 4317 | Analysis I ^{2} | 3 |

MATH 4320 | Complex Analysis ^{2} | 3 |

Pure Mathematics Concentration | ||

MATH 4318 | Analysis II | 3 |

MATH 4108 | Introduction to Abstract Algebra II | 3 |

or MATH 4150 | Introduction to Number Theory | |

MATH 4431 | Introductory Topology | 3 |

or MATH 4432 | Introduction to Algebraic Topology | |

or MATH 4441 | Differential Geometry | |

Select six credits: ^{3,6} | 6 | |

Introduction to Graph Theory | ||

Combinatorial Analysis | ||

Introduction to Abstract Algebra II | ||

Introduction to Number Theory | ||

Probability with Applications I | ||

Probability with Applications II | ||

Introduction to Partial Differential Equations I | ||

Introduction to Partial Differential Equations II | ||

Introductory Topology | ||

Introduction to Algebraic Topology | ||

Differential Geometry | ||

Dynamics and Bifurcations I | ||

Dynamics and Bifurcations II | ||

Undergraduate Research | ||

Mathematics Elective | 3 | |

Engineering or Science Electives | ||

BIOL, CHEM, EAS, PHYS, PSYC, ECON, CS, AE, BMED, CEE, CHBE, ECE, ISYE, MSE, ME 3000-level or higher courses ^{4,5} | 9 | |

Free Electives | ||

Free Electives ^{7} | 11 | |

Total Credit Hours | 119 |

Pass-fail only allowed for Free Electives.

Four courses from Group A list must be completed. Student may select MATH elective from Group B if four courses from Group A are complete, otherwise, the Math elective must come from Group A. If student does not complete four courses from Group A list from concentration requirements and MATH elective, then the course(s) must be completed for free electives.

**Group A** list: MATH 4022, MATH 4032, MATH 4108, MATH 4150, MATH 4221, MATH 4261, MATH 4318, MATH 4347, MATH 4431, MATH 4432, MATH 4441, MATH 4541, MATH 4640.

**Group B** list: MATH 4080/4090, MATH 4222, MATH 4255, MATH 4262, MATH 4280, MATH 4348, MATH 4542, MATH 4580, MATH 4581, MATH 4641, MATH 4699, MATH 4755, MATH 4777, MATH 4782, MATH 4801, MATH 4802, CS 3510/3511, CS 4510, CS 4540, CS 4641, CX 4140, CX 4240, ISYE 3133, ISYE 4133.

^{1} | If PHYS 2231 is taken, extra hour goes toward Free Electives |

^{2} | C-minimum required |

^{3} | MATH 4699 must be an approved topic related to concentration and can only be used once. |

^{4} | CEE 3770 and ISYE 3770 are not allowed to be used here. |

^{5} | Two courses must be from the same school. |

^{6} | Course selection may not be any other course used to satisfy other concentration requirements. |

^{7} | MATH 1113, 3670, 3770, CEE 3770, and ISYE 3770 are restricted from free electives. There is a limit of 2 hours of HPS credit. |