106 ريض

 

  • M-106:  Integral Calculus

     

  • Text Book: Calculus by Swokowski‐Olinick‐Pence (Sixth Edition)
     

  • Course Description:
  1. Antiderivatives and Indefinite Integrals
  2. Change of Variables in Indefinite Integrals
  3. Summation Notation and Area
  4. The Definite Integral
  5. Properties of the Definite Integral
  6. The Fundamental Theorem of Calculus
  7. Numerical Integration
  8. The Natural Logarithm Function
  9. The Exponential Function
  10. Integration Using Natural Logarithm and Exponential Function
  11. General Exponential and Logarithmic Functions
  12. Inverse Trigonometric Functions
  13.  Hyperbolic and Inverse Hyperbolic Functions
  14. Indeterminate Forms and l'Hopital's Rule
  15. Integration by parts
  16. Trigonometric Integrals
  17. Trigonometric Substitutions
  18. Integrals of Rational Functions (Partial fractions)
  19. Quadratic Expressions and Miscellaneous Substitutions
  20. Improper Integrals
  21. Area Between Curves
  22. Volume (By Disk or Washer)
  23. Volume(By Cylindrical Shells)
  24. Arc Length and Surfaces of Revolution
  25. Parametric Equations
  26. Arc Length and Surface Area
  27. Polar Coordinates
  28. Integrals in Polar Coordinates

 

  • MARKS:
  1. Exam (1): Mid-Term (1) .................................................................. 25%
  2. Exam (2): Mid-Term (2) ...................................................................25%
  3. Final Exam .......................................................................................40%
  4. Tutorial .............................................................................................10%
  5. Total ..................................................................................................100%
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