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

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.

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.

Major Requirements

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

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 of the following courses8
Vibration Theory and Applications
Advanced Mechanics of Solids
Mechanical Behavior of Materials
One 700-level elective, selected in consultation with the academic advisor
Total Credits33
Plan of Study Grid
First Year
MATH 425 Calculus I 4
Inquiry Course 4
Discovery Course 4
Discovery Course 4
MATH 400 Freshman Seminar 1
MATH 426 Calculus II 4
MATH 445 Mathematics and Applications with MATLAB 4
PHYS 407 General Physics I 4
ENGL 401 First-Year Writing 4
Second Year
MATH 528 Multidimensional Calculus 4
MATH 539 Introduction to Statistical Analysis 4
PHYS 408 General Physics II 4
ME 525 Statics 4
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
Third Year
MATH 647 Complex Analysis for Applications 4
MATH 745 Foundations of Applied Mathematics I 4
ME 627 Dynamics 3
Discovery Course 4
ME 561 Introduction to Materials Science 4
ME #724 Vibration Theory and Applications 4
Discovery Course 4
Discovery Course 4
Fourth Year
MATH 753 Introduction to Numerical Methods I 4
700-level ME Elective Course 4
Discovery Course 4
Elective Course 4
Elective Course 2
Capstone: 4
Senior Seminar
or Senior Project
or Senior Thesis
Elective Course 4
Elective Course 4
Elective Course 4
 Total Credits129
  • 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.