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.

Required MATH Courses
MATH 425Calculus I4
MATH 426Calculus II4
MATH 445Mathematics and Applications with MATLAB4
or CS 410P Introduction to Scientific Programming/Python
or CS 410C Introduction to Scientific Programming/C
MATH 527Differential Equations with Linear Algebra 14
MATH 528Multidimensional Calculus 14
MATH 531Mathematical Proof4
MATH 539Introduction to Statistical Analysis4
MATH 545Introduction to Linear Algebra 14
or MATH 645 Linear Algebra for Applications
MATH 761Abstract Algebra4
MATH 763Abstract Algebra II4
MATH 767One-Dimensional Real Analysis4
MATH 784Topology4
MATH 788Complex Analysis4
MATH elective, selected in consultation with the academic advisor4
Select TWO of the following electives8
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 797Senior Seminar4
MATH 799Senior Thesis2 or 4
Other Required Courses
PHYS 407General Physics I4
PHYS 408General Physics II4
Total Credits78-80
Plan of Study Grid
First Year
FallCredits
MATH 425 Calculus I 4
Discovery Course 4
Discovery Course 4
Discovery Course 4
MATH 400 Freshman Seminar 1
 Credits17
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
 Credits16
Second Year
Fall
MATH 528 Multidimensional Calculus 4
MATH 539 Introduction to Statistical Analysis 4
Discovery Course 4
PHYS 407 General Physics I 4
 Credits16
Spring
MATH 527 Differential Equations with Linear Algebra 4
MATH 531 Mathematical Proof 4
Discovery Course 4
PHYS 408 General Physics II 4
 Credits16
Third Year
Fall
MATH 545
Introduction to Linear Algebra
or Linear Algebra for Applications
4
MATH 761 Abstract Algebra 4
MATH Elective Course 4
Discovery Course 4
 Credits16
Spring
MATH 763 Abstract Algebra II 4
MATH 767 One-Dimensional Real Analysis 4
MATH Elective Course 4
Discovery Course 4
 Credits16
Fourth Year
Fall
MATH 784 Topology 4
MATH Elective Course 4
Elective Course 4
Elective Course 4
 Credits16
Spring
MATH 788 Complex Analysis 4
MATH Elective Course 4
Elective Course 4
Elective Course 4
 Credits16
 Total Credits129
  • 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.