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 part of:
- Specialist Certificate in Foundations of Electrical and Electronic Engineering (EEE)
- Part-time Bachelor of Engineering (Electrical and Electronic Engineering)

Course Availability

Date(s): 11 Aug 2025 to 05 Dec 2025

Time: Lecture (every Wednesday): 1900-2020, Tutorial (every Friday): 1900-1950

Venue: NTU Main Campus

Registration is closed.

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.

Online Tests
Quiz
Final Examination

Learners with a relevant CET part-time diploma issued from local polytechnics.
Learners 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$4272.80

SSG Funding Support	Course fee	Course fee payable after SSG funding, if eligible under various schemes
	BEFORE funding & GST	AFTER funding & 9% GST
Singapore Citizens (SCs) and Permanent Residents (PRs) (Up to 70% funding)	S$3,920	Pending SSG's approval
Enhanced Training Support for SMEs (ETSS)		Pending SSG's approval
SCs aged ≥ 40 years old SkillsFuture Mid-career Enhanced Subsidy (MCES) (Up to 90% funding)		Pending SSG's approval

• NTU/NIE alumni may utilise their $1,600 Alumni Course Credits. Click here for more information.

COURSE TITLE	ACADEMIC UNIT
PH1012 Physics A	4
EE2101 Circuit Analysis	3
IE2108 Data Structures & Algorithms in Python	3

Listed courses are:

Credit-bearing and stackable to Specialist Certificate in Foundations of Electrical and Electronic Engineering (EEE) and Part-time Bachelor of Engineering (Electrical and Electronic Engineering).

EG2810 Mathematics A

Introduction

Course Availability

Standard Course Fee: S$4272.80

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