# Mathematics Major (B.S.)

https://ceps.unh.edu/mathematics-statistics/mathematics-bs

This program offers the strongest concentration in mathematics, requiring courses that are intended to prepare the student for graduate work in mathematics. Through a judicious choice of electives, students may design stronger pre-graduate programs, a program in applied mathematics, or slant the program toward a career in business or industry.

#### Graduation Requirements

In all courses used to satisfy the requirements for its major programs, the Department of Mathematics and Statistics requires that a student earn a grade of C- or better and have an overall grade-point average of at least 2.00 in these courses.

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

Required MATH Courses | ||

MATH 425 | Calculus I | 4 |

MATH 426 | Calculus II | 4 |

MATH 445 | Mathematics and Applications with MATLAB | 4 |

or CS 410P | Introduction to Scientific Programming/Python | |

or CS 410C | Introduction to Scientific Programming/C | |

MATH 527 | Differential Equations with Linear Algebra ^{1} | 4 |

MATH 528 | Multidimensional Calculus ^{1} | 4 |

MATH 531 | Mathematical Proof | 4 |

MATH 539 | Introduction to Statistical Analysis | 4 |

MATH 545 | Introduction to Linear Algebra ^{1} | 4 |

or MATH 645 | Linear Algebra for Applications | |

MATH 761 | Abstract Algebra | 4 |

MATH 763 | Abstract Algebra II | 4 |

MATH 767 | One-Dimensional Real Analysis | 4 |

MATH 784 | Topology | 4 |

MATH 788 | Complex Analysis | 4 |

MATH elective, selected in consultation with the academic advisor | 4 | |

Select TWO of the following electives | 8 | |

Geometry | ||

Introduction to Commutative Algebra and Algebraic Geometry | ||

Real Analysis II | ||

Introduction to Differential Geometry | ||

Foundations of Number Theory | ||

Combinatorics | ||

Capstone: Select one of the following | ||

MATH 797 | Senior Seminar | 4 |

MATH 799 | Senior Thesis | 2 or 4 |

Other Required Courses | ||

PHYS 407 | General Physics I | 4 |

PHYS 408 | General Physics II | 4 |

Total Credits | 78-80 |

^{1} | MATH 525 Linearity I |

First Year | ||
---|---|---|

Fall | Credits | |

MATH 425 | Calculus I | 4 |

Discovery Course | 4 | |

Discovery Course | 4 | |

Discovery Course | 4 | |

MATH 400 | Freshman Seminar | 1 |

Credits | 17 | |

Spring | ||

MATH 426 | Calculus II | 4 |

MATH 445 |
Mathematics and Applications with MATLAB or Introduction to Scientific Programming/Python or Introduction to Scientific Programming/C |
4 |

ENGL 401 | First-Year Writing | 4 |

Inquiry Course | 4 | |

Credits | 16 | |

Second Year | ||

Fall | ||

MATH 528 | Multidimensional Calculus | 4 |

MATH 539 | Introduction to Statistical Analysis | 4 |

Discovery Course | 4 | |

PHYS 407 | General Physics I | 4 |

Credits | 16 | |

Spring | ||

MATH 527 | Differential Equations with Linear Algebra | 4 |

MATH 531 | Mathematical Proof | 4 |

Discovery Course | 4 | |

PHYS 408 | General Physics II | 4 |

Credits | 16 | |

Third Year | ||

Fall | ||

MATH 545 or MATH 645 |
Introduction to Linear Algebra or Linear Algebra for Applications |
4 |

MATH 761 | Abstract Algebra | 4 |

MATH Elective Course | 4 | |

Discovery Course | 4 | |

Credits | 16 | |

Spring | ||

MATH 763 | Abstract Algebra II | 4 |

MATH 767 | One-Dimensional Real Analysis | 4 |

MATH Elective Course | 4 | |

Discovery Course | 4 | |

Credits | 16 | |

Fourth Year | ||

Fall | ||

MATH 784 | Topology | 4 |

MATH Elective Course | 4 | |

Elective Course | 4 | |

Elective Course | 4 | |

Credits | 16 | |

Spring | ||

MATH 788 | Complex Analysis | 4 |

MATH Elective Course | 4 | |

Elective Course | 4 | |

Elective Course | 4 | |

Credits | 16 | |

Total Credits | 129 |

- Students can explain core concepts from a range of different branches of mathematics, including analysis, algebra, calculus and statistics.
- Students can correctly interpret mathematical definitions and construct simple proofs which use definitions and logical arguments to establish properties of mathematical objects.
- Students are aware that mathematical objects may have multiple representations and are able to select representations which clarify problems and simplify calculations.
- Students can recognize valid and invalid mathematical arguments.