Integral Calculus : Math 106

MATH 106 Integral Calculus: Weekly Course Details
Book: Calculus: The Classic Edition (Fifth Edition),
by Earl W. Swokowski.
Chapter 5:
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.
Chapter 7:
 Logarithmic and Exponential Functions, 
The Natural Logarithmic Function, 
The Natural Exponential Function, Intergration
, General Exponential and Logarithmic Functions.
Chapter 8:
 Inverse Trigonometeric and Hyperbolic Functions,  Inverse Trigonometric Functions, 
Derivatives and Integrals
, Hyperbolic Functions
, Inverse Hyperbolic Functions.
Chapter 9:

Techniques of Integration
: Integration by parts
, Trigonometric Integrals
, Trigonometric Substitutions
, Integrals of Rational Functions, Integrals Involving Quadratic Expressions,  Miscellaneous Substitutions.
Chapter 10:
 Indeterminate Forms and Improper Integrals: Indeterminate Forms, 
Integrals with Infinite Limits of Integration,  Integrals with Discontinuous Inegrands.
Chapter 6:
Application of the Definte Integral: Area, 
Solid of Revolution, 
Volumes by Cylindrical Shells
, Arc Length and surfaces of Revolution
Chapter 13:
 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  

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Course Materials