This course aims to facilitate students with essential skills and tools to solve complex engineering problems. The introduced techniques will be used in a number of industrial sectors such as manufacturing processes monitoring, heat treatment, thermodynamics, thermal engineering, heat and mass transfer, uncertainty modeling, risk management, nonlinear dynamics, mass balance, and vibrations. After this course, students will be able to apply handy tools to solve practical problems encountered in mechanical engineering. The introduced methodologies for tackling these engineering problems will benefit students’ future work as mechanical engineers.