a.
Knowledge and Understanding:
1-
Describe definite and indefinite integrals of algebraic and transcendental functions, vector equations of lines and planes in three-dimensional space, conic sections, and quadric surfaces.
2-
Recognize methods of integration, numerical integration with application to algebraic and transcendental functions and their inverses.
3-
Identify scalar and vector equations of lines and planes in space, conic sections, Quadric Surfaces and their equations and properties.
4-
Illustrate areas, arc lengths, surface areas, and volumes of the solid of revolution by using concepts of analytic geometry and integral calculus.
b.
Intellectual Skills:
1-
Apply theorems, concepts, methods, and techniques of integral calculus and analytic geometry at the intellectual level required of this course.
2-
Analyze engineering problems solving related to integration with application, conic sections, and vector equations of lines, planes, and Quadric Surfaces.
3-
Solve engineering problems related to vector equations of lines and planes in space, conic sections, quadric surfaces, and applications in engineering problems.
4-
Apply numerical integration methods (left and right rectangular and trapezoidal rule) for the solutions engineering problems in case of failure of the rules and methods of integrations.
5-
Use rules and methods of integration in finding Areas, volumes of revolution, and Arc lengths of parametric functions.
c.
Professional and Practical Skills:
1-
Compute definite and indefinite integrals of algebraic and Transcendental functions and their inverses.
2-
Solve problems related to conic sections, quadric surfaces, and vector equations of lines and planes in space.
3-
Design a software algorithm for the approximate integrals using left, and right rectangular, and trapezoidal rule with absolute error estimations.
d.
General and Transferable Skills:
1-
Write Essays concerning integration of algebraic, and Transcendental functions & their inverses.
2-
Communicate effectively.
