Integral Calculus - 106 Math

Course Description Math 106 3 credit hours
Prerequisite: Math 150

Definition of Definite Integral and its Properties, The Anti-derivative, Indefinite Integral and the Fundamental Theorem of Calculus. Change of Variables. Integrals of natural and general exponential functions. Integrals of natural and general Logarithmic functions. Derivatives and Integrals of Hyperbolic and Inverse-Hyperbolic functions. Techniques of Integration: by parts, Trigonometric substitutions, Completing the square, Integrals of rational functions, Miscellaneous Substitutions. Indeterminate forms, Improper Integrals. Applications of Integration: Area, Solids of Revolutions, Arc length and Surface of Revolution, Linear Motion, Work, Momentum and Center of Mass. Numerical Integration. Polar coordinates, relation between polar and Cartesian coordinates, Graphs of polar curves, Area in polar coordinates. Parametric Equations.

Required Text Book: Calculus - The classic edition by Swokowski
Dates of Exams Mid 1 WED 26/1/1437H 3-4:30
Mid 2 WED 2/3/1437H 3-4:30
Other References:

مبادئ التفاضل و التكامل الجزء الثاني تأليف د. صالح السنوسي,د.معروف سمحان, د. كمال عبد الرحمن, د. احمد خليفة

Marks Distribution:
20% First Midterm Exam
20% Seconed Midterm Exam
15%  Totorual
 5%Quizzes
40% Final Exam