Engineering Statics refers to the branch of mechanics that deals with the analysis of forces acting on physical systems in a state of rest or constant motion. This skill encompasses the principles of equilibrium, allowing for the calculation of forces, moments, and reactions in structures and mechanical systems. Knowledge of Engineering Statics is used to ensure stability and safety in the design of buildings, bridges, and various mechanical components by evaluating load distributions and structural integrity.

Fluid mechanics is the branch of physics that studies the mechanics of fluids (liquids, gases, and plasmas) and the forces and motions associated with them. It involves concepts such as viscosity, turbulence, flow rate, pressure, and buoyancy, and has wide-ranging applications in engineering, geophysics, environmental science, and many other fields. Specialists in fluid mechanics use mathematical models and experimental techniques to analyze and optimize fluid systems and processes, and to develop new technologies and designs.

Integral Calculus refers to the branch of mathematics that deals with the concept of integration, which is the process of finding the accumulated area under a curve represented by a function. This skill encompasses techniques for calculating definite and indefinite integrals, enabling the user to solve problems related to areas, volumes, and other quantities that can be expressed as limits of sums. Knowledge of Integral Calculus is applied in various fields such as physics, engineering, and economics to model and analyze dynamic systems, optimize functions, and interpret data.

Mathematical Sciences refers to the study of numbers, quantities, structures, and patterns, encompassing various branches such as algebra, calculus, statistics, and geometry. This skill involves the application of mathematical theories and techniques to solve problems, analyze data, and model real-world phenomena. Knowledge of Mathematical Sciences is used in diverse fields, including engineering, finance, and natural sciences, to facilitate decision-making, optimize processes, and enhance understanding of complex systems.

Modern Physics refers to the branch of physics that deals with the post-Newtonian concepts and theories, primarily focusing on the behavior of matter and energy at the atomic and subatomic levels. This skill encompasses the understanding of principles such as quantum mechanics, relativity, and particle physics, which are essential for explaining phenomena that classical physics cannot. Knowledge of Modern Physics is used to advance technologies in fields such as electronics, telecommunications, and medical imaging by applying theoretical concepts to practical applications and innovations.