Introduction
This course aims to provide a mathematical foundation for learners, covering key concepts such as vectors, limits, derivatives, integrals, differential equations, sequences, and series. These topics are fundamental in calculus and analysis, equipping learners with essential skills to enhance their problem-solving and analytical capabilities. Learners will develop proficiency in solving geometrical problems using vectors, as well as in differentiating and integrating functions to tackle real-world challenges related to rates of change, optimization, and calculating areas and volumes. These mathematical skills are highly relevant across engineering and data analytics disciplines, and the course equips learners with versatile tools that lay the groundwork for their academic and professional advancement.This course is credit-bearing (4AU) and stackable to
- Specialist Certificate in Foundations of Electrical and Electronic Engineering
Note: The part-time Bachelor of Engineering in Electrical and Electronic Engineering (EEE) will be discontinued from Academic Year 2026-2027 (i.e., August 2026). As a result, the progression pathway from the Specialist Certificate to the part-time Bachelor of Engineering in EEE will no longer be available.
At the end of the course, learners will be able to:
1. Use vectors to solve geometrical problems in two- and three-dimensional space.
2. Evaluate limits of functions using different methods.
3. Evaluate derivatives and apply Chain Rule and Implicit differentiation and L'Hopital's Rule.
4. Apply differentiation to solve problems related to rate of change and optimization.
5. Evaluate integrals using different techniques and apply integration to find areas and volumes.
6. Classify and solve Ordinary Differential Equations.
7. Give examples of convergent and divergent sequences and series, and perform various convergence tests for series.
8. Describe how a function can be expressed as a power series, determine the radius of convergence of a power series.
9. Represent certain functions by manipulating geometric series or by differentiating or integrating known series.
10. Find Taylor/Maclaurin series of a given function using definition.
11. Evaluate partial derivatives and apply Chain Rule and Implicit Differentiation for functions of more than one variable.
12. Apply the properties of directional derivatives and gradient vectors to solve problems related to rate of change of functions of more than one variable.
13. Interpret the meaning of double integrals, and evaluate double integrals via iterated integrals and change of order.
14. Evaluate double integrals in polar coordinates.
1. Use vectors to solve geometrical problems in two- and three-dimensional space.
2. Evaluate limits of functions using different methods.
3. Evaluate derivatives and apply Chain Rule and Implicit differentiation and L'Hopital's Rule.
4. Apply differentiation to solve problems related to rate of change and optimization.
5. Evaluate integrals using different techniques and apply integration to find areas and volumes.
6. Classify and solve Ordinary Differential Equations.
7. Give examples of convergent and divergent sequences and series, and perform various convergence tests for series.
8. Describe how a function can be expressed as a power series, determine the radius of convergence of a power series.
9. Represent certain functions by manipulating geometric series or by differentiating or integrating known series.
10. Find Taylor/Maclaurin series of a given function using definition.
11. Evaluate partial derivatives and apply Chain Rule and Implicit Differentiation for functions of more than one variable.
12. Apply the properties of directional derivatives and gradient vectors to solve problems related to rate of change of functions of more than one variable.
13. Interpret the meaning of double integrals, and evaluate double integrals via iterated integrals and change of order.
14. Evaluate double integrals in polar coordinates.
Individuals looking to strengthen their mathematical capabilities to better support their work in engineering or data analytics, or those wishing to advance their studies in these fields.
Standard Course Fee: S$4272.8
| BEFORE funding & GST | AFTER SSG funding (if eligible under various schemes) & 9% GST | |
| SSG Funding Support | Course Fee | Course Fee Payable |
| Singapore Citizen (SC) and Permanent Resident (PR) (Up to 70% funding) | $3,920.00 | $1,281.84 |
| Enhanced Training Support for SMEs (ETSS) | $3,920.00 | $497.84 |
| Singapore Citizen aged ≥ 40 years old SkillsFuture Mid-career Enhanced Subsidy (MCES) (Up to 90% funding) | $3,920.00 | $497.84 |
- NTU/NIE alumni may utilise their $1,600 Alumni Course Credits for each course. Click here for more information.
- Learners can utilise their SkillsFuture Credits for these courses.
- Singaporeans aged 40 years and above are able to use their SkillsFuture Credit (Mid-Career) top-up of $4,000 to offset the course fees after SSG funding.
