Available Fall/Winter term
OSU catalog link
ENGR 112 or ENGR112H;
MTH 256 or MTH 256H or equivalent
308 Rogers Hall
Analytical and numerical methods for solving representative mechanical engineering problems.
- Mechanical equations: Numerical integration and predictor/corrector methods
- Second-order differentials equations: predictor/corrector methods
- Boundary value problems: "Shooting" methods, finite difference equations, systems of linear equations, iteration techniques, and nonlinear equations
- Eigenvalue problems
- Power series solutions
- Applications of LaPlace transforms
- Partial differential equations
The student, upon successful completion of this course, will be able to:
- Formulate and solve mechanical engineering initial value problems of practical importance presented by first- and second-order differential equations using both analytical and explicit numerical methods.
- Formulate and solve mechanical engineering boundary value problems of practical importance represented by first- and second-order differential equations using both analytical and implicit numerical methods.
- Formulate and numerically solve partial differential equations.
- Identify and implement the most appropriate numerical method for solving a specific type of engineering problem; recognize the advantages, disadvantages and limitations of numerical methods.