**ENMEC 2010**

6-8 September 2010

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**EngOpt 2010**

6-9 September 2010

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**ICCS16 2011**

28-30 June 2011

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**Regular Course Offerings at the UTFPr by NuMAT**

Mathematical Methods (PMC03): 3-credit graduate course. Differentiation and Integrals. Complex Numbers. Vector spaces; linear transformations and matrices; characteristic values and vectors; canonical forms; bilinear, quadratic, and Hermitian forms; selected applications. Linear functions; differentiation of functions of several variables (implicit functions, Jacobians); change of variable in multiple integrals; integrals over curves, surfaces; Green, Gauss, Stokes theorems. Sequences and series, elementary complex analysis; Fourier series; linear and nonlinear ordinary differential equations; matrix theory, elementary functional analysis; elementary solution of partial differential equations. Partial differential equations, Fourier and Laplace transforms, convolutions, special functions, mathematical modeling. |

Introduction to Finite Element Methods (ME37M): 60-hours undergraduate course. Generation and assembly of finite element matrices in one and two-dimensional problems. Modeling and practical applications in solid mechanics, heat transfer and fluid flow. Tools in numerical analysis, interpolation, integration. Trusses, beams, plates. |

Statics (FI62B): 60-hours undergraduate course. Principles of mechanics force systems, equilibrium structures, distributed forces, centroids and friction. |

Dynamics (FI63B): 60-hours undergraduate course. Kinematics and kinetics of particles and rigid bodies with applications of Newton's second law and the principles of work-energy and impulse momentum. |

Strength of Materials (ME64D): 90-hours undergraduate course. Stress and strain, torsion, bending of beams, shearing stress in beams, combined stresses, principal stresses, defections of beams, statically indeterminate members and columns. Area moment, conjugate beam, deflection due to shear, bending of unsymmetrical beams, curved beams, shear flow, shear center, stresses in open sections, theories of failure, plastic stress-strain relations, plastic deformation, limit analysis, energy methods, laboratory investigation. |

Elasticity (ME65D): 60-hours undergraduate course. Engineering analysis of initial and boundary value problems in applied mechanics. Application of various methods to investigate a variety of engineering situations. Beams of elastic foundations; advanced energy methods; thick walled cylinders; torsion of non-circular sections; approximate methods for stresses in plates, stress concentrations, contact stresses, interaction curves, elastic and inelastic buckling, introduction to elasticity. Some laboratory, matrix, and tensor applications. |