Singapore University of Social Sciences

Calculus II

Calculus II (MTH108)


MTH108 will be a continuation to MTH107 and introduce students to integral calculus. Students will be exposed to computational techniques such as the various techniques to integration as well evaluating the derivatives of integrals and inverse functions and applications of integration such as areas between curves and volumes of cylindrical shells.

Level: 1
Credit Units: 5
Presentation Pattern: EVERY REGULAR SEMESTER


  • Anti-derivative
  • Change of Variable
  • Definite Integral
  • Fundamental Theorems of Calculus
  • Inverse Functions
  • Logarithmic and Exponential Functions
  • Inverse Trigonometric Functions
  • Integration by Parts
  • Integration by Substitution
  • Integration by Partial Fractions
  • Areas between curves
  • Volumes of cylindrical shells

Learning Outcome

  • Solve derivatives of certain integrals using Fundamental Theorem of Calculus.
  • Determine the derivative of certain functions.
  • Interpret limits of certain Riemann sums as definite integrals and vice versa.
  • Show that certain reduction formula holds.
  • Use various techniques of integration to evaluate integrals.
  • Apply integration to find areas between curves or volumes of cylindrical shells.
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