What are the key principles and methodologies underlying the operations in civil engineering, and how do they contribute to the successful execution of projects? Explore the role of project management techniques such as Critical Path Method $($CPM$)$ and Program Evaluation and Review Technique $($PERT$)$ in scheduling and optimizing resources in civil engineering projects. Discuss the significance of risk assessment and mitigation strategies in ensuring the safety and integrity of structures and infrastructure. Additionally, delve into the importance of sustainability considerations, including materials selection, energy efficiency, and environmental impact assessment, in contemporary civil engineering operations. How do these principles intersect with technological advancements like Building Information Modeling $($BIM$)$ and automation, reshaping traditional practices and enhancing efficiency in project delivery? Analyze the ethical implications and social responsibilities inherent in civil engineering operations, particularly regarding community engagement, equity, and resilience in the face of natural disasters and climate change.