Singapore University of Social Sciences

Calculus

Calculus (MTH109)

Applications Open: 01 October 2024

Applications Close: 15 November 2024

Next Available Intake: January 2025

Course Types: Modular Undergraduate Course

Language: English

Duration: 6 months

Fees: $1529 View More Details on Fees

Area of Interest: Science and Technology

Schemes: Alumni Continuing Education (ACE)

Funding: To be confirmed

School/Department: School of Science and Technology

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Synopsis

MTH109 Calculus introduces students to the study of limits, continuity, differential calculus and integral calculus in one variable. Students will be exposed to computational techniques in evaluating limits, derivatives, integrals. Applications of this course include optimisation, calculating areas between curves and volumes of cylindrical shells.

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

Topics

  • Limits
  • Continuity
  • Differentiability
  • Implicit Differentiation
  • Derivative
  • Relative Extrema
  • Indefinite Integral
  • Integration by Parts
  • Integration by Substitution
  • Integration by Partial Fractions
  • Area between curves
  • Volume of solids of revolution

Learning Outcome

  • Determine limits of functions of one variable
  • Apply derivative tests to find relative extremum of differentiable function(s) of one variable
  • Solve for the derivative of a given integral
  • Use a Taylor polynomial of a given function to estimate the value of the function at a given point up to fixed degree of accuracy.
  • Employ various techniques of integration to evaluate integrals.
  • Calculate the area between given curves and/or volume of given solids of revolution.
Part-time Programmes / CET Courses
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