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Course Overview

Many polytechnic diploma holders who pursue university degrees in Engineering or Science often find university Mathematics challenging. This is a specialised University Preparatory Programme (UPP) in Mathematics course designed to bridge the gap between polytechnic- and university-level Mathematics. It will focus on intermediate Calculus and covers topics such as Numerical Methods, Improper Integrals, Infinite Series, Vectors, Partial Differentiation, Multiple Integrals, and Ordinary Differential Equations.



Exemption Available


There are exemptions available for participants. Please check course details for more information. 

Entry Requirements

Applicants for this course should have passed any one of the following:


  • GCE O-Level Additional Mathematics (Syllabus 4038); or
  • Engineering Mathematics or Calculus from local polytechnics (TP Subjects: EMA1002, AMA2001, BLO1002); or
  • UPP Foundation Mathematics

What You'll Learn

  • Numerical methods in approximation
  • Techniques in Calculating Improper Integrals
  • Convergence of Infinite Series
  • Introduction to 3D Vectors and Quadric Surfaces
  • Calculus of Multi-variable Functions
  • Techniques in Solving Ordinary Differential Equations


On completion of this course, participants should be able to:

  • Approximate solution of calculus problems using simple numerical methods;
  • Calculate improper integrals using limit techniques;
  • Determine the convergence of an infinite series;
  • Construct line and plane equations in 3D space;
  • Measure distances in 3D space using vectors;
  • Identify quadric surfaces and their equations;
  • Calculate partial derivatives of a multi-variable function;
  • Calculate multiple integrals;
  • Solve Ordinary Differential Equations.





Participants who meet the 75% minimum attendance and passed the assessment will be awarded a Certificate in Mathematics.

Participants who meet the 75% minimum attendance but did not pass the assessment will be awarded a Certificate of Attendance.

Course Schedule/Apply

Intake Info Application Closing Date Course Duration

5 September to 7 October 2022

5 August 2022

48 Hours

7.00pm to 10.00pm every Monday, Wednesday and Thursday with an additional lesson on the first Friday, 9 September 2022

Classroom-based learning 

Application for TP Full Time Student Application for TP Alumni and Public


Find out what our graduates have to say about this course. 

Course Fees

Fee Per Participant Total fees 
per module
For Public per module S$422.10
For TP Alumni (after 10% discount) S$379.89
For current full-time TP students(co-fund by TP, only for the first attempt) S$139.10

Lecturer/Trainer Profile

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