# Singapore University of Social Sciences

## Calculus II

Applications Open: 01 April 2019

Applications Close: 16 June 2019

Next Available Intake: July 2019

Schemes: Lifelong Learning Credit (L2C)

Language: English

Duration: 6 months

Fees: \$1312 View More Details on Fees

Area of Interest: Science & Technology

### Synopsis

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 semester

### Topics

• 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.