# CONTENTS

# INTRODUCTION

The applications of mathematics extend beyond the sciences and engineering domains. A basic understanding

of mathematics and statistics, and the ability to think mathematically and statistically are essential for an

educated and informed citizenry. For example, social scientists use mathematics to analyse data, support

decision making, model behaviour, and study social phenomena.

H1 Mathematics provides students with a foundation in mathematics and statistics that will support their

business or social sciences studies at the university. It is particularly appropriate for students without O Level

Additional Mathematics because it offers an opportunity for them to learn important mathematical concepts

and skills in algebra and calculus that were taught in Additional Mathematics. Students will also learn basic

statistical methods that are necessary for studies in business and social sciences.

# AIMS

The aims of H1 Mathematics are to enable students to:

(a) acquire mathematical concepts and skills to support their tertiary studies in business and the social

sciences

(b) develop thinking, reasoning, communication and modelling skills through a mathematical approach to

problem-solving

(c) connect ideas within mathematics and apply mathematics in the context of business and social sciences

(d) experience and appreciate the value of mathematics in life and other disciplines.

# ASSESSMENT OBJECTIVES

There are three levels of assessment objectives for the examination.

The assessment will test candidates’ abilities to:

AO1 Understand and apply mathematical concepts and skills in a variety of problems, including those

that may be set in unfamiliar contexts, or require integration of concepts and skills from more than

one topic.

AO2 Formulate real-world problems mathematically, solve the mathematical problems, interpret and

evaluate the mathematical solutions in the context of the problems.

AO3 Reason and communicate mathematically through making deductions and writing mathematical

explanations and arguments.

# USE OF A GRAPHING CALCULATOR (GC)

The use of an approved GC without computer algebra system will be expected. The examination papers will

be set with the assumption that candidates will have access to GC. As a general rule, unsupported answers

obtained from GC are allowed unless the question states otherwise. Where unsupported answers from GC

are not allowed, candidates are required to present the mathematical steps using mathematical notations

and not calculator commands. For questions where graphs are used to find a solution, candidates should

sketch these graphs as part of their answers. Incorrect answers without working will receive no marks.

However, if there is written evidence of using GC correctly, method marks may be awarded.

Students should be aware that there are limitations inherent in GC. For example, answers obtained by

tracing along a graph to find roots of an equation may not produce the required accuracy.

# INTEGRATION AND APPLICATION

Notwithstanding the presentation of the topics in the syllabus document, it is envisaged that some examination

questions may integrate ideas from more than one topic, and those topics may be tested in the contexts of

problem solving and application of mathematics.

Possible list of H1 Mathematics applications and contexts:

Applications and contexts | Some possible topics involved |
---|---|

Optimisation problems
(e.g. maximising profits, minimising costs) |
Inequalities; System of linear equations; Calculus |

Population growth, radioactive decay | Exponential and logarithmic functions |

Financial maths (e.g. profit and cost analysis, demand and supply, banking, insurance) |
Equations and inequalities; Probability; Sampling distributions; Correlation and regression |

Games of chance, elections | Probability |

Standardised testing | Normal distribution; Probability |

Market research (e.g. consumer preferences, product claims) |
Sampling distributions; Hypothesis testing; Correlation and regression |

Clinical research (e.g. correlation studies) | Sampling distributions; Hypothesis testing; Correlation and regression |

The list illustrates some types of contexts in which the mathematics learnt in the syllabus may be applied,

and is by no means exhaustive. While problems may be set based on these contexts, no assumptions will be made about the knowledge of these contexts. All information will be self-contained within the problem.

# SCHEME OF EXAMINATION PAPERS

For the examination in H1 Mathematics, there will be one 3-hour paper marked out of 100 as follows:

**Section A** (Pure Mathematics – 40 marks) will consist of about 5 questions of different lengths and marks

based on the Pure Mathematics section of the syllabus.

**Section B** (Probability and Statistics – 60 marks) will consist of 6 to 8 questions of different lengths and

marks based on the Probability and Statistics section of the syllabus.

There will be at least two questions, with at least one in each section, in the application of Mathematics in

real-world contexts, including those from business and the social sciences. Each question will carry at least

12 marks and may require concepts and skills from more than one topic.

Candidates will be expected to answer all questions.

# Call us at 91199655 to sign up now!

## HOW DO I REGISTER?

You can register personally at any one of our branches during our operating hours. Alternatively, you may call our hotline **9119-9655** to register. Please note that phone registration does not constitute a reservation of a seat in the program. Only upon payment for the program will the seat(s) be reserved.