MATH 106 Integral Calculus: Weekly Course Details
Book: Calculus: The Classic Edition (Fifth Edition),
by Earl W. Swokowski.
Antiderivatives and Indefinite Integrals, Change of Variables in Indefinite Integrals, Summation Notation and Area, The Definite Integral, Properties of the Definite Integral , The fundamental Theorem of Calculus, Numerical Intergration: Including also the Error estimate.
Logarithmic and Exponential Functions, The Natural Logarithmic Function, The Natural Exponential Function, Intergration , General Exponential and Logarithmic Functions.
Inverse Trigonometeric and Hyperbolic Functions, Inverse Trigonometric Functions, Derivatives and Integrals , Hyperbolic Functions , Inverse Hyperbolic Functions.
Techniques of Integration : Integration by parts , Trigonometric Integrals , Trigonometric Substitutions , Integrals of Rational Functions, Integrals Involving Quadratic Expressions, Miscellaneous Substitutions.
Indeterminate Forms and Improper Integrals: Indeterminate Forms, Integrals with Infinite Limits of Integration, Integrals with Discontinuous Inegrands.
Application of the Definte Integral: Area, Solid of Revolution, Volumes by Cylindrical Shells , Arc Length and surfaces of Revolution
Plane Curves and Polar Coordinates: Plane Curves, Tangent Lines and Arc Length, Polar Coordinate, Intergrals in Polar Coordinates
First Midterm Exam for Math 106 will be on Tuesday 26/5/1436 from 7pm until 8:30 pm