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.
Degree Requirements
Minimum Credit Requirement: 128 credits
Minimum Residency Requirement: 32 credits must be taken at UNH
Minimum GPA: 2.0 required for conferral*
Core Curriculum Required: Discovery & Writing Program Requirements
Foreign Language Requirement: No
All Major, Option and Elective Requirements as indicated.
*Major GPA requirements as indicated.
Major 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 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 |
| PHYS 407 | General Physics I | 4 |
| PHYS 408 | General Physics II | 4 |
| Electives | ||
| One MATH elective course (selected in consultation with the academic advisor) | 4 | |
| Select two additional courses from the following: | 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: | 4 | |
| Senior Seminar | ||
| Senior Thesis | ||
| Total Credits | 76 | |
| First Year | ||
|---|---|---|
| Fall | Credits | |
| MATH 425 | Calculus I | 4 |
| Discovery Course | 4 | |
| Discovery Course | 4 | |
| Inquiry 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 |
| Discovery Course | 4 | |
| Credits | 16 | |
| Second Year | ||
| Fall | ||
| MATH 528 | Multidimensional Calculus | 4 |
| MATH 539 | Introduction to Statistical Analysis | 4 |
| PHYS 407 | General Physics I | 4 |
| Discovery Course | 4 | |
| Credits | 16 | |
| Spring | ||
| MATH 527 | Differential Equations with Linear Algebra | 4 |
| MATH 531 | Mathematical Proof | 4 |
| PHYS 408 | General Physics II | 4 |
| Discovery Course | 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 |
| Discovery Course | 4 | |
| Writing Intensive Course | 4 | |
| Credits | 16 | |
| Spring | ||
| MATH 763 | Abstract Algebra II | 4 |
| MATH 767 | One-Dimensional Real Analysis | 4 |
| Writing Intensive Course | 4 | |
| MATH Elective Course | 4 | |
| Credits | 16 | |
| Fourth Year | ||
| Fall | ||
| MATH 784 | Topology | 4 |
| MATH 797 or MATH 799 | Senior Seminar or Senior Thesis | 4 |
| MATH 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.