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Course Title[Course Code]:Mathematics (2)[BSC 121]

Faculty: Computers and Artificial Intelligence
Department: Scientific Computing
Program: Scientific Computing
Compulsory / Elective:Compulsory
Undergraduate(First Year-Second Semester)
Lecture:( 3 ) Practical / Clinical:( - ) Tutorial:( 3 )

Course Description:
The course aims at introducing the Techniques of integration: Integration by parts, trigonometric integrals and substitutions, integrals of rational functions, quadratic expressions, tables of integrals, improper integrals. Infinite series: Sequences, convergent or divergent series, positive-term series (basic comparison test, limit comparison test, ratio and root tests), alternating series and absolute convergence, power series, power series representations of functions, Maclaurin and Taylor series, applications of Taylor polynomials. Differential equations: Definition, classifications and terminology, techniques of solution of ordinary first-order first-degree differential equations (separable, reducible to separable, homogeneous, reducible to homogeneous, linear, reducible to linear, exact differential, nonexact differential-integrating factor), applications.