
Description:  Area and definite integrals using Riemann sums, theory of integration of functions in one variable, the fundamental theorem of calculus, techniques of integration, integration as a mean to compute areas, surfaces, arc lenths, surface areas and volumes, calculus in polar coordinates, parametric equations. 
Credit Hours.:  3 
Text Book:  Smith, R. T. and Minton, R. B. Calculus, McGraw Hill 
Coordinator:  Walid Ibrahim 
Topics Outline:   Sigma notation, area, the definite integral and the fundamental theorem of calculus
 Area between two curves, volumes and volumes by cylindrical shells
 Arc length and surface area
 Integration by substitution
 Integration by parts and trigonometric substitution
 Integrating rational functions by partial fractions
 Indeterminate forms and L'Hopital's rule
 Improper integrals
 Calculus and parametric equations
 Arc length and surface area in parametric equations
 Calculus and polar coordinates

Outcomes:   Solving integrals using different techniques
 Solving improper integrals
 Explain curves given in parametric equations, and motion problems
 Explain polar curves and their calculus
 Solving area problems of polar regions
 Investigating convergence and divergence of real sequences

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Prerequisite  MATH105: Calculus I
