Course Weekly Lecture Plan

Week	Topic
1	Index and Vector Notation, Summation Convention, Kronecker Delta and Permutation Symbol
2	Gradient, Divergence, Curl and Laplace Operators, Material and Spatial Coordinates
3	Deformation: Infinitesimal Deformation, Deformation Tensors, Stretch
4	Deformation: Length, Angle, Area and Volume Changes, Strain Invariants
5	Deformation: Principal Strains and Directions Computer Simulations of Deformation Problems
6	Kinematics of A Continuum: Material Derivative, Velocity, Acceleration, Kinematics of Volume Integral
7	Stress: Cauchy Stress Concepts, Stress Vector and Stress Tensor
8	Stress: Principal Stresses and Directions, Maximum Shear Stress and Directions Computational Solutions of Some Stress Problems
9	Stress: Piola-Kirchhoff Stress Sensors, Compatibility Conditions, Conservation Laws: Conservation of Mass
10	Conservation Laws: Conservation of Momentum, Moment of Momentum and Energy, Equation of Motion and Energy Equation in Material Coordinates
11	Constitutive Equation of Isotropic Linear Elastic Solid, Navier Equations for Elastic Solids
12	Work and Energy: Strain Energy, Kinetic Energy, Ritz Energy Method
13	Some Computer Applications: Deformation of Elastic Beams
14	Some Computer Applications: Plane Elastic Waves, Plate Vibration