This course begins with an introduction for multiple integration, which are needed to computer the mass, moment of inertia and other important properties of three-dimensional solids. It then explores the concepts of line and surface integrals within the framework of vector calculus. Related aspects are introduced and discussed, including Green’s Theorem, Divergence Theorem, and Stokes’ theorem.

This course introduces fundamental concepts, methods, and techniques in Operational Research to support decision-making and problem-solving. It covers Linear Programming using graphical and simplex methods, including sensitivity analysis, duality, and special cases such as degeneracy, multiple optimal solutions, unbounded, and infeasible solutions. The course also explores advanced techniques including the M Method, Two-Phase Method, and Integer Programming, with practical solution methods such as Cutting Plane and Branch and Bound.