Introduction.- Single first-order PDE.- Single conservation law.- Systems of hyperbolic PDE and conservation laws.- Propagation of nonlinear wave and shock.- Kinematical conservation laws (KCL).- Conservation forms of energy transport equations.- 2-D KCL, WNLRT and SRT.- 2-D WNLRT and SRT - some applications.- 3-D WNLRT and SRT: Theory and Applications.- Appendix and Notations.