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MATH110: Calculus II

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:
  1. Sigma notation, area, the definite integral and the fundamental theorem of calculus
  2. Area between two curves, volumes and volumes by cylindrical shells
  3. Arc length and surface area
  4. Integration by substitution
  5. Integration by parts and trigonometric substitution
  6. Integrating rational functions by partial fractions
  7. Indeterminate forms and L'Hopital's rule
  8. Improper integrals
  9. Calculus and parametric equations
  10. Arc length and surface area in parametric equations
  11. Calculus and polar coordinates
  1. Solving integrals using different techniques
  2. Solving improper integrals
  3. Explain curves given in parametric equations, and motion problems
  4. Explain polar curves and their calculus
  5. Solving area problems of polar regions
  6. Investigating convergence and divergence of real sequences
Mapping of Topics Outline to Outcomes
 1 2 3 4 5 6 7 8 9 10 11
Pre-requisiteMATH105: Calculus I
Volume of the Course that Contributes to CIT Students Outcomes(SOs)
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a b c d e f g h i j k l m n
18% 43% 0% 0% 0% 0%0% 18% 18% 0% 0% 0% 0% 0%
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