Applied Mathematics: Solid Mechanics and Vibrations Option (B.S.)

Applied Mathematics: Solid Mechanics and Vibrations Option (B.S.)
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What is the solid mechanics and vibrations option in applied mathematics?

This option in the applied mathematics degree program combines a foundation in mathematics with coursework designed to give students a fundamental understanding of how materials respond to forces large and small. Students completing this program will be prepared for graduate study in applied mathematics or work in a variety of industries that use material science. 

Why study applied mathematics at UNH?

This program allows you to choose a specific interest and pursue it alongside accomplished mathematicians, statisticians and educators who have won prestigious honors including a Grammy Award and a MacArthur “genius” grant. Upper-level mathematics classes tend to be small, so you’ll enjoy close connections to professors as they delve into the intricacies of advanced ideas. An accelerated master’s program is available in applied mathematics, allowing students to complete their master’s degree early.  This department has produced many winners of the prestigious Department of Defense SMART Scholarship.

Potential careers

  • Computational scientist
  • Financial services/actuary
  • Mathematician/statistician (government/research/academia)
  • Programmer
  • Quantitative specialist in business or industry
  • Software developer
  • Teacher/educator/curriculum supervisor
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Curriculum & Requirements

Beginning in the 2022/23 academic year, the Applied Mathematics Major: Solid Mechanics and Vibrations option will no longer be accepting new students. Current students will continue to have access to the same high-quality education and resources until they graduate.

This degree program prepares students for employment and/or graduate study in a variety of fields and research specializations in which mathematics plays a critical role in the solution of important scientific and technological problems.

Plan of Study Grid
First Year
FallCredits
MATH 425 Calculus I 4
PHYS 407 General Physics I 4
Discovery Course 4
Inquiry Course 4
MATH 400 Freshman Seminar 1
 Credits17
Spring
MATH 426 Calculus II 4
MATH 445
or IAM 550
Mathematics and Applications with MATLAB
or Introduction to Engineering Computing
4
PHYS 408 General Physics II 4
ENGL 401 First-Year Writing 4
 Credits16
Second Year
Fall
MATH 528 Multidimensional Calculus 4
MATH 644 Statistics for Engineers and Scientists 4
ME 525 Statics 4
Discovery Course 4
 Credits16
Spring
MATH 527 Differential Equations with Linear Algebra 4
MATH 531 Mathematical Proof 4
MATH 645 Linear Algebra for Applications 4
ME 526 Mechanics of Materials 3
 Credits15
Third Year
Fall
MATH 647 Complex Analysis for Applications 4
MATH 745 Foundations of Applied Mathematics I 4
ME 627 Dynamics 3
Discovery Course 4
Discovery Course 4
 Credits19
Spring
ME 561 Introduction to Materials Science 4
Elective Course 4
Discovery Course 4
Writing Intensive Course 4
 Credits16
Fourth Year
Fall
MATH 753 Introduction to Numerical Methods I 4
Elective Course 4
Discovery Course 4
Writing Intensive Course 4
 Credits16
Spring
MATH 797
or MATH 798
or MATH 799
Senior Seminar
or Senior Project
or Senior Thesis
4
Elective Course 4
Elective Course 4
Elective Course 4
 Credits16
 Total Credits131

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.

MATH 425Calculus I4
MATH 426Calculus II4
MATH 445Mathematics and Applications with MATLAB4
or IAM 550 Introduction to Engineering Computing
MATH 527Differential Equations with Linear Algebra 14
MATH 528Multidimensional Calculus 14
MATH 531Mathematical Proof4
MATH 644Statistics for Engineers and Scientists 24
MATH 645Linear Algebra for Applications 14
MATH 753Introduction to Numerical Methods I4
PHYS 407General Physics I4
Capstone: Select one of the following
MATH 797Senior Seminar4
MATH 798Senior Project4
MATH 799Senior Thesis2 or 4
Total Credits50-52
1

The full Linearity sequence, MATH 525 and MATH 526, may be used to replace the MATH 527, MATH 528, and MATH 645 requirements.

MATH 525 may be used to replace the MATH 645 requirement.

2

Applied Mathematics: Economics Option students must take MATH 539 Introduction to Statistical Analysis.

Solid Mechanics and Vibrations Option Requirements

PHYS 408General Physics II4
MATH 647Complex Analysis for Applications4
MATH 745Foundations of Applied Mathematics I4
ME 525Statics3
or CEE 500 Statics for Civil Engineers
ME 526Mechanics of Materials3
or CEE 501 Strength of Materials
ME 561Introduction to Materials Science4
ME 627Dynamics3
Select TWO from the following:8
ME 727
Advanced Mechanics of Solids
ME #730
Mechanical Behavior of Materials
700-level elective, selected in consultation with the academic advisor
Total Credits33

  • Students recognize common mathematical notations and operations used in mathematics, science and engineering.
  • Students can recognize and classify a variety of mathematical models including differential equations, linear and nonlinear systems of algebraic equations, and common probability distributions.
  • Students have developed a working knowledge (including notation, terminology, foundational principles of the discipline, and standard mathematical models within the discipline) in at least one discipline outside of mathematics.
  • Students are able to extract useful knowledge, both quantitative and qualitative, from mathematical models and can apply that knowledge to the relevant discipline.

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