COMPUTER ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
Name of the Course Unit Code Year Semester In-Class Hours (T+P) Credit ECTS Credit
CALCULUS II MAT102 1 2 4+0 4.0 7.0


Objectives and Contents
Objectives of the Course Unit This module aims to provide an accessible review of the advanced calculus from the text book to long after the class and to provide the concepts integration and the applications of integration. It presents a source for undergraduate students at their first year. Calculus is taught in a traditional lecture format or in laboratories with individual and group learning focusing on numerical and graphical experimentations. Give an ability to apply knowledge of mathematics on engineering problems. Provide the evaluation of integrals by using integral techniques. Give the basic concepts of analytic geometry. Give a broad knowledge and basic understanding of sequences and series. Provide the limit, continuity and integral of vector-valued functions in application.
Contents of the Course Unit Concept of area, estimating with finite sums, sigma notation and limits of finite sums, definite integral, The Fundamental Theorems of Calculus and Integral,integration by parts,substitution rule, indefinite integrals, numerical integration , hyperbolic and inverse hyperbolic functions, techniques of integration, area, lengths of plane curves, volumes of a solid of revolution, areas of surfaces of revolution, moments and centers of mass, moments of inertia, Pappus theorems, areas and lengths in polar coordinates. improper integrals, sequences, infinite series, tests of convergence for arithmetic,geometric,harmonic, alternating series ,absolutly convergent, conditionaly convergent,derivation and interal of power series,convergence of power series, Taylor and Maclaurin Series, Fourier Series,vectors, dot Product, cross product, lines and planes in space, cylinders and quadric surfaces, vector-valued functions, limits and continuity and integrals of vector-valued functions.
Contribution of the Course Intending to Provide the Professional Education In Calculus II students learn integration techniques and the ability to use integration in engineering problems.