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