- 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.
Exemption
Diploma graduates holding the University Preparatory Programme Certificate in Mathematics will be exempted from the mathematics bridging requirements at the National University of Singapore (NUS). For details on the admission criteria applicable to other universities, please consult them directly.
Certification
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.
