Why most H2 math students need tuition?

Reply to Why most H2 math students need tuition? on Fri, 30 Nov 2018 01:09:48 GMT

gjooheng — Fri, 30 Nov 2018 01:09:48 GMT

Interesting narrative comments on N2018 P2

\"In the castles of House Straightus As, the soldiers were preparing for war. The almighty House Cambridge had torn through the lands and within a few weeks, they will be at the Straightus stronghold. They have been told of this coming attack for years, but no amount of TYS scrims, lectures in the Art of ECF, and wellfare supply packs will prepare them for this. The citizens of Straightus are clearly on edge. The parents of the soldiers are in a constant state of worry, continuously supplying the militia with coffee and chicken essence. Make no mistake, war is coming.

The Straightus had run ins with the enemy before, notably against small divisions led by General Practical. The Straightus viking ships could not withstand the unique weather of Physicsa, notably the \"Plasticine Rain\", where balls of plasticine drops from the sky. Luckily, a special technique involving a merry-go-round proved to be effective as 50% of General Practical forces were wiped out. However, it was nothing compared to what was coming.

It was a quiet dawn. A scout was patrolling the strongholds as usual. However, in the fog, he notices something peculiar. He takes his spotting lens and drops it in horror after he realises what he saw. He ran to the nearest belltower and rang it as hard as he could. \"They're here! The A-pocalypse is upon us!\"

The soldiers are awaken from their slumber and immediately sprang into action. For 2 years, they have prepared for this. For some, 6. For some, their entire lives. They fell into formation, shields in hand, MF26s in the other.

As the fog cleared, the sheer might of the Cambrigean forces became apparent. The frontline stretched across the horizon, going as far back as the length of East West line. When it is working, of course.

The catapults of the Cambridgean forces deployed into formation. Archers on both sides ready their bows, awaiting the command. The Straightus Generals have fought in battles like this before. They now lead a new generation into battle.

\"Charge!\" The Straightus forces storm out of the fortress in a swarm, prepared to clash into the Cambridgean frontlines. Despite their best efforts, the soldiers fell one by one. They were clearly outmatched. Nevertheless, they pressed on, for king, for country, for the coveted university slot.

However as the battle went on, it was a clear defeat. The Straightus forces retreat back into the strongholds. \"We have lost forces to General General Paper and General Math P1. General Chemistry is making a strong foothold in our territory.\" A general reported to the Straightus high command. \"Hmmm, we must await General Math P2 for reinforcements. Till then, we shall defend this siege till we die.\"

The Straightus forces endured the siege through the weekend, through sun and rain, in the hopes of a miracle. On that fateful Wednesday, General Math P2's forces made their way into Straightus.

\"Sir, General Math P2 has arrived.\" A messager reported to the Lord Straightus. \"Very well, let's walk and talk.\" General Math P2 followed behind Lord Straightus.

\"As you know, General P2, your arrival has been of great importance to us. The battle against your brother P1 has seen many casualties on our front and we believe you can help us turn the tides. Now, I suggest we...\" Before Lord Straightus could finish his thought, a knife is plunged into his chest. He clutches his heart as his limb body fell to the floor. A red fog blurred his vision, but he could make out the figure who just assisinated him.

\"Et tu, P2?\"

\"Sorry for the inconvenience old friend. Cambitch forever.\"

Source: https://www.reddit.com/r/SGExams/comments/9wvxyf/a_level_h2_math_975802_discussion_thread/

Reply to Why most H2 math students need tuition? on Fri, 30 Nov 2018 01:00:41 GMT

gjooheng — Fri, 30 Nov 2018 01:00:41 GMT

Trend and recommended learning for H2 maths 9758 syllabus

https://mathdistinction.com/2018/11/27/trend-and-recommended-learning-for-h2-maths-9758-syllabus/

Reply to Why most H2 math students need tuition? on Sat, 24 Nov 2018 00:47:03 GMT

S Lee — Sat, 24 Nov 2018 00:47:03 GMT

I am looking for parents or students who might be looking for Math JC H2 Tuition A level in 2019

I wish to send my dd for math tuition at Zheng Math. I am looking for another 1 student so we can enjoy group rates together and the tutor also prefer at least 2 students.

If you interested please PM me Much appreciated. Target to start ASAP.

Reply to Why most H2 math students need tuition? on Sat, 18 Jul 2015 12:09:26 GMT

mathtuition88 — Sat, 18 Jul 2015 12:09:26 GMT

Just a side remark-- the national average distinction rate (percentage of As) for H2 Maths is around 50%, however this statistic is heavily skewed by the top-tier JCs like RI , HCI, NJC, whose distinction rate hovers around 70%-80%. Hence, for other JCs the distinction rate for H2 Maths may be more realistically at the 20% to 30% mark.

Hence, students from JCs whose track record for H2 Maths is not so good really need to study extra hard on their own / with tutors to improve their chance of getting good grades in H2 Maths.

Reply to Why most H2 math students need tuition? on Sat, 18 Jul 2015 10:56:50 GMT

Onetuition — Sat, 18 Jul 2015 10:56:50 GMT

partially agree. most of the students did not do well in June test, they will need some adjustment to JC syllabus

Reply to Why most H2 math students need tuition? on Mon, 29 Jun 2015 08:34:59 GMT

IP Math Specialist — Mon, 29 Jun 2015 08:34:59 GMT

ilovelaksa:
:goodpost:
khotl73:
Actually to be honest, H2 Maths is only the same standard as C Maths in the old syllabus. The material tested in Calculus, Vectors and Complex Numbers are not really Further Maths standard. Calculus is no different from C Maths at all(implicit differentiation, parametric differentiation, applications of diff, maclaurin series, integration by substitution, by parts, area and volume). We were not even given what to substitute for integration by substitution. We had to see by ourselves. Reduction formula, further applications of integration are not taught at all. The same goes for D.E. Only 1st order DE by Separation of Variables is taught. Method of Integrating Factor, 2nd Order DE all not tested.

Vectors(equations of lines and planes) were taught in C Maths for those who took A levels in the 90s. I learnt all the H2 Maths Vectors in C Maths when i was a student. Further Maths Vectors were more complicated and abstract. Most questions require students to prove results in vector form. Shortest distance between two skew lines was taught in Further Maths.

For Complex Numbers, questions in Further maths involve series of trigo functions using de Moivre's theorem and Geometric series or binomial series. This is not found in H2 Maths at all. We also learnt transformation of loci in complex plane(conformal mapping).

Moreover Further Maths syllabus involve Mechanics and Statistics questions which are not in H2 Maths at all. All the H2 Maths statistics question are so elementary. Use of graphic calculators make the learning of statistics become more of just robotic calculations. The essence and theory are lost in the syllabus.

The H3 Maths syllabus covers most of the Further Maths topics. However Linear Algebra is only in NUS/NTU H3 Maths. It is not in Cambridge H3 syllabus. H3 Maths is different from S paper in the past. S paper focused on in depth analysis of the topics in C Maths and F Maths. In most JC, you only see a couple of students taking Further Maths S paper . A lot of JC didnt even have students who dare to take F Maths S paper.

In conclusion, H2 Maths is equivalent only to C Maths with less than 10% Further Maths. We will get to see Further Maths back in syllabus next year in 2016 and hopefully those students with aptitude and potential in maths will take it.
:goodpost:
I was lookg at my ds h2 maths work out of curiosity and I must say I agree with this

I totally agree - the coverage of H2 math is largely similar to Math C, and H3 math is not the same as the S papers we had back then... the design and objective of the math syllabus seems to have changed.

my experience teaching students these days is that they are simply not confident - maybe from lack of practice, or too many distractions in school. Even top school students are facing a huge problem these days (maybe because their last major exam was back during PSLE...)

Reply to Why most H2 math students need tuition? on Tue, 23 Jun 2015 07:00:01 GMT

ilovelaksa — Tue, 23 Jun 2015 07:00:01 GMT

:goodpost:

khotl73:
Actually to be honest, H2 Maths is only the same standard as C Maths in the old syllabus. The material tested in Calculus, Vectors and Complex Numbers are not really Further Maths standard. Calculus is no different from C Maths at all(implicit differentiation, parametric differentiation, applications of diff, maclaurin series, integration by substitution, by parts, area and volume). We were not even given what to substitute for integration by substitution. We had to see by ourselves. Reduction formula, further applications of integration are not taught at all. The same goes for D.E. Only 1st order DE by Separation of Variables is taught. Method of Integrating Factor, 2nd Order DE all not tested.

Vectors(equations of lines and planes) were taught in C Maths for those who took A levels in the 90s. I learnt all the H2 Maths Vectors in C Maths when i was a student. Further Maths Vectors were more complicated and abstract. Most questions require students to prove results in vector form. Shortest distance between two skew lines was taught in Further Maths.

For Complex Numbers, questions in Further maths involve series of trigo functions using de Moivre's theorem and Geometric series or binomial series. This is not found in H2 Maths at all. We also learnt transformation of loci in complex plane(conformal mapping).

Moreover Further Maths syllabus involve Mechanics and Statistics questions which are not in H2 Maths at all. All the H2 Maths statistics question are so elementary. Use of graphic calculators make the learning of statistics become more of just robotic calculations. The essence and theory are lost in the syllabus.

The H3 Maths syllabus covers most of the Further Maths topics. However Linear Algebra is only in NUS/NTU H3 Maths. It is not in Cambridge H3 syllabus. H3 Maths is different from S paper in the past. S paper focused on in depth analysis of the topics in C Maths and F Maths. In most JC, you only see a couple of students taking Further Maths S paper . A lot of JC didnt even have students who dare to take F Maths S paper.

In conclusion, H2 Maths is equivalent only to C Maths with less than 10% Further Maths. We will get to see Further Maths back in syllabus next year in 2016 and hopefully those students with aptitude and potential in maths will take it.

:goodpost:
I was lookg at my ds h2 maths work out of curiosity and I must say I agree with this

Reply to Why most H2 math students need tuition? on Mon, 22 Jun 2015 10:00:11 GMT

mathtuition88 — Mon, 22 Jun 2015 10:00:11 GMT

To students taking H2 Maths, my advice is to revise, practice and study seriously as early as possible. Especially for students who has Additional Maths grade of A2 or below, really need to work hard as they may be at the bottom half of the cohort taking H2 Maths.

H2 Maths is in some ways the easiest subject for hardworking students. As long as you do enough practice (with understanding and explanation from teacher/tutor for unsure concepts), a good decent grade should be more or less guaranteed. H2 Maths does not rely on IQ, genius IQ is really not needed nor necessary, unlike in Olympiad Math. The main thing is to apply the right method to the right question.

The main problem comes when students do not practice enough/ has a lot of things that do not understand but do not seek clarification, then it is guaranteed that H2 Maths is the hardest, since there is no way to "bluff" your way through the exams, unlike some other subjects. The most serious fails in JC, e.g. below 30 marks out of 100 usually comes from H2 Maths, unfortunately. Students who really work hard have managed to improve from U grade to A grade though.

Reply to Why most H2 math students need tuition? on Mon, 22 Jun 2015 02:29:57 GMT

khotl73 — Mon, 22 Jun 2015 02:29:57 GMT

Actually to be honest, H2 Maths is only the same standard as C Maths in the old syllabus. The material tested in Calculus, Vectors and Complex Numbers are not really Further Maths standard. Calculus is no different from C Maths at all(implicit differentiation, parametric differentiation, applications of diff, maclaurin series, integration by substitution, by parts, area and volume). We were not even given what to substitute for integration by substitution. We had to see by ourselves. Reduction formula, further applications of integration are not taught at all. The same goes for D.E. Only 1st order DE by Separation of Variables is taught. Method of Integrating Factor, 2nd Order DE all not tested.

Vectors(equations of lines and planes) were taught in C Maths for those who took A levels in the 90s. I learnt all the H2 Maths Vectors in C Maths when i was a student. Further Maths Vectors were more complicated and abstract. Most questions require students to prove results in vector form. Shortest distance between two skew lines was taught in Further Maths.

For Complex Numbers, questions in Further maths involve series of trigo functions using de Moivre’s theorem and Geometric series or binomial series. This is not found in H2 Maths at all. We also learnt transformation of loci in complex plane(conformal mapping).

Moreover Further Maths syllabus involve Mechanics and Statistics questions which are not in H2 Maths at all. All the H2 Maths statistics question are so elementary. Use of graphic calculators make the learning of statistics become more of just robotic calculations. The essence and theory are lost in the syllabus.

The H3 Maths syllabus covers most of the Further Maths topics. However Linear Algebra is only in NUS/NTU H3 Maths. It is not in Cambridge H3 syllabus. H3 Maths is different from S paper in the past. S paper focused on in depth analysis of the topics in C Maths and F Maths. In most JC, you only see a couple of students taking Further Maths S paper . A lot of JC didnt even have students who dare to take F Maths S paper.

In conclusion, H2 Maths is equivalent only to C Maths with less than 10% Further Maths. We will get to see Further Maths back in syllabus next year in 2016 and hopefully those students with aptitude and potential in maths will take it.

Reply to Why most H2 math students need tuition? on Tue, 20 Jan 2015 09:08:06 GMT

angwc — Tue, 20 Jan 2015 09:08:06 GMT

I myself is a H2 math tutor and former JC lecturer.

My take is why students need tuition is because of different learning needs. Even in a class the pace of learning for individual students differ and A level curriculum is quite fast paced.

Students who learn slower may not catch up but need extra time from the school tutor to re teach certain concepts. However a JC tutor may need to coach 100 students or more. Especially those from the lower end JCs, the tutor does not have sufficient time to spend extra time to coach one by one. Imagine 40 students ask for just 1 hr of consultation then the tutor need to stay back 40 hours each day. Not to mention additional work like admin or CCAs.

Under this situation a 1 to 1 tuition may be helpful as the tutor can address all the problems to the student with full attention. Furthermore tuition allows student to learn the same topic a second time and hence the student can understand the problem better.

Not all students need tuition, those lazy ones have a more fundamental problem to address. The hardworking but lost ones are probably those that need help.

Tuition is not cheap, I can be honest that I do not charge that cheap either (because of the services I provide). So I advise students and parents to ensure that the student is putting 100% effort first before "seeking second advice".

Regards
Mr Ang

Reply to Why most H2 math students need tuition? on Sat, 03 Jan 2015 13:23:04 GMT

Overmars — Sat, 03 Jan 2015 13:23:04 GMT

pirated:

it may not true specifically for H2 math but it is quite true that most JC students need tuition.

Nonsense

If you guys want to promote your tuition services, please be upfront and be sincere about it, don't try to use scare and rumor monger tactics[/quote]

:goodpost:
Spare a thought for those who hardly have enough money to even go to school. If tuition is the way to go then might as well close down all the JCs and have tuition services to provide preparation for A levels. :mad:

Reply to Why most H2 math students need tuition? on Sun, 30 Nov 2014 12:42:07 GMT

linfangjun — Sun, 30 Nov 2014 12:42:07 GMT

it may not true specifically for H2 math but it is quite true that most JC students need tuition.[/quote]

Nonsense

If you guys want to promote your tuition services, please be upfront and be sincere about it, don’t try to use scare and rumor monger tactics[/quote]

if we tutors can scare parents into hiring us, that will be wonderful. but sadly not true.

i am just speaking from experience. you may have a different sample from which you draw your conclusion. that’s alright.

Reply to Why most H2 math students need tuition? on Sun, 30 Nov 2014 12:13:27 GMT

pirated — Sun, 30 Nov 2014 12:13:27 GMT

linfangjun:
pirated:
[quote=\"John Lim\"]most H2 math students need tuition, very sad.

NOT TRUE!

Reply to Why most H2 math students need tuition? on Sun, 30 Nov 2014 12:12:15 GMT

linfangjun — Sun, 30 Nov 2014 12:12:15 GMT

pirated:
John Lim:
most H2 math students need tuition, very sad.

NOT TRUE!

it may not true specifically for H2 math but it is quite true that most JC students need tuition.

Reply to Why most H2 math students need tuition? on Sun, 30 Nov 2014 01:49:54 GMT

iwork — Sun, 30 Nov 2014 01:49:54 GMT

pirated:
mathtuition88:
For some of the top JCs, it is common to see some students entering JC and already know some of the topics that haven't even been taught. It is not that they are smarter than the rest, they have been studying in advance during the holidays. This is a huge advantage, given that once JC starts, there is barely time for even finishing homework, let alone study in advance.

For students who are weaker in Maths, it is highly recommended to revise A Maths especially, for those who are intending to take H2 Maths.
they are smarter by reading up in advance, very often because of their keen interest in the subjects, not only in math

you always have people who want to be prepared, versus those who can't be bothered till due date to hand in assignments

The important thing is to know yourself. Only you (or may be your parents) will be able to know whether you need a tuition to prepare you for H2 maths.

Why? Because you will know by asking yourself how many questions you have completed confidently in your A-Maths Papers. Well, if the answer is less than 70% (even if you get a A1 or A2, it doesn't matter), then perhaps it is time to read up again during while waiting for results if it is your intention to join JCs and to take up H2 Maths.

If you join JCs, the first 1-2 months will be spent mostly on CCA and lots of other orientation activities, get to know other students, and to adjust to the changes in the system, like lecture, tutorial, report etc.

Mr Quek CC
Maths Olympiad trainer/Maths Tutor

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 16:41:48 GMT

pirated — Sat, 29 Nov 2014 16:41:48 GMT

mathtuition88:
For some of the top JCs, it is common to see some students entering JC and already know some of the topics that haven't even been taught. It is not that they are smarter than the rest, they have been studying in advance during the holidays. This is a huge advantage, given that once JC starts, there is barely time for even finishing homework, let alone study in advance.

For students who are weaker in Maths, it is highly recommended to revise A Maths especially, for those who are intending to take H2 Maths.

they are smarter by reading up in advance, very often because of their keen interest in the subjects, not only in math

you always have people who want to be prepared, versus those who can't be bothered till due date to hand in assignments

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 16:35:11 GMT

mathtuition88 — Sat, 29 Nov 2014 16:35:11 GMT

For some of the top JCs, it is common to see some students entering JC and already know some of the topics that haven't even been taught. It is not that they are smarter than the rest, they have been studying in advance during the holidays. This is a huge advantage, given that once JC starts, there is barely time for even finishing homework, let alone study in advance.

For students who are weaker in Maths, it is highly recommended to revise A Maths especially, for those who are intending to take H2 Maths.

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 13:09:40 GMT

pirated — Sat, 29 Nov 2014 13:09:40 GMT

John Lim:
most H2 math students need tuition, very sad.

NOT TRUE!

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 13:06:29 GMT

John Lim — Sat, 29 Nov 2014 13:06:29 GMT

most H2 math students need tuition, very sad.

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 12:31:32 GMT

iwork — Sat, 29 Nov 2014 12:31:32 GMT

gjooheng:
pirated:

before the H1, H2, H3 came about, there were AO math, A level Math B, and Further Math, and S paper

AO Math for those who did not do O Level add math

Math B is a little less than the present H2 math

H2 math now is old Math B plus some topics from further math

S paper became H3 roughly, offered only in JC2

may be I am rather old - was there a math C in JC at A level standard ?
Yes, there is Math C at A level. It is printed on my A level cert. You can also search it on internet.

S paper follow the same syllabus as the main subject, except the questions are tougher and out of the box. S paper is like those very tough JC questions compared to easier A level paper. They follow the same syllabus.

On the other hand, H3 math syllabus is different from H2 math, so it is more like Further Math. Eigen values, eigenvectors, complex 2nd order differential equation, etc were covered in Further Math and now in H3 math.

Yes, there is Maths C and Maths B (which in the A-Level Cert only printed as Mathematics).

gjooheng and piratedi, may I know which year you took the A-Level? oops, it will reveal your age. Haha.

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 10:48:45 GMT

gjooheng — Sat, 29 Nov 2014 10:48:45 GMT

pirated:

before the H1, H2, H3 came about, there were AO math, A level Math B, and Further Math, and S paper

AO Math for those who did not do O Level add math

Math B is a little less than the present H2 math

H2 math now is old Math B plus some topics from further math

S paper became H3 roughly, offered only in JC2

may be I am rather old - was there a math C in JC at A level standard ?

Yes, there is Math C at A level. It is printed on my A level cert. You can also search it on internet.

S paper follow the same syllabus as the main subject, except the questions are tougher and out of the box. S paper is like those very tough JC questions compared to easier A level paper. They follow the same syllabus.

On the other hand, H3 math syllabus is different from H2 math, so it is more like Further Math. Eigen values, eigenvectors, complex 2nd order differential equation, etc were covered in Further Math and now in H3 math.

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 10:33:33 GMT

micko07 — Sat, 29 Nov 2014 10:33:33 GMT

zbear:
which school were you from?

HCI. I was there from 2009-2010 though, so things might have changed since.

Reply to Why most H2 math students need tuition? on Sat, 29 Nov 2014 05:53:51 GMT

pirated — Sat, 29 Nov 2014 05:53:51 GMT

gjooheng:
Before 2007, 2 levels of maths were offered at A level, namely Maths C and Further Maths.

From 2007 onwards, we have H1, H2 and H3 maths.

H2 maths is a combination of Maths C, plus estimated one quarter of Further Maths.

Average students took Maths C. Further Maths was recommended only for students with very strong maths ability (consistently score 85% in Amath). Only the top 10% of maths students were recommended to take Further Maths. It is like the current H3 maths.

One quarter of Further Maths syllabus, such as advanced concepts in Vectors, Complex Numbers, Calculus, Sequence and Series have been included into H2 math syllabus. And the JC lecturers who are used to teaching Further Maths now set questions, previously meant for Further Maths, under H2 maths. That’s why most students find these topics difficult.

After entering JC 1, should students fail their first common test or mid year, get a good tutor. Otherwise, there is a high chance that students will fail their promo and be retained. Vectors and Complex Numbers, the hardest 2 topics in H2 maths, are usually covered in JC2. If students already struggle with JC 1 topics such as Calculus, Sequence and Series, they will have a hard time catching up in JC2 while having to learn Vectors and Complex Numbers.

Many students who scored distinctions in O level Amaths (A1 or A2) still struggle with H2 maths and fail their school tests and exams. In ACJC, 25% of students in my tutee’s class were retained in 2014. In CJC, about 50% of students in my tutee’s class got a U grade (0 to 39 marks) in the H2 maths promo exams. My tutees would have been one of those who failed their promo if they didn’t engage me for tuition.

My recommendation is for students who did not score above 85% in Additional Maths to get a good tutor for H2 maths. And engage a good tutor immediately should students fail their first common test or exam.

quite misleading

before the H1, H2, H3 came about, there were AO math, A level Math B, and Further Math, and S paper

AO Math for those who did not do O Level add math

Math B is a little less than the present H2 math

H2 math now is old Math B plus some topics from further math

S paper became H3 roughly, offered only in JC2

may be I am rather old - was there a math C in JC at A level standard ?

Mathematics
Offered at :H1, H2 & H3 Levels
H1 Mathematics provides a foundation in mathematics for students who intend to enrol in university courses
such as business, economics and social sciences.
Students will develop mathematical thinking and problem
solving skills.
Topics covered include
Functions and Graphs,Calculus,Probability and Statistics
.
A major focus of the syllabus will be the understanding and application of basic concepts and techniques of statistics.
This will equip students with the skills to analyse and interpret data, and
make informed decisions.
Assumed knowledge : GCE ‘O’ level Mathematics
Examinations : Students sit for one written paper.

H2 Mathematics prepares students adequately for university courses including mathematics, physics and engineering where more mathematics content is required.
Topics covered include Functions and Graphs, Sequences and Series,
Vectors,Complex Numbers, Calculus, Permutations and Combinations,
Probability and Statistics
.
Students will learn to analyse, formulate and solve different types of problems. Students will also learn to work with data and perform statistical analyses.
Assumed knowledge : GCE ‘O’ level Additional Mathematics
Examinations : Students sit for two written papers.

H3 Mathematics offers students who have a strong aptitude for, and are passionate about mathematics, an opportunity to further develop their mathematical modelling and reasoning skills.
Topics covered include extensions of the three topics Functions and
Graphs, Sequences and Series, and Calculus in H2 Mathematics, as well as two additional topics Combinatorics and Differential Equations as Mathematical Models
.
Students are required to study all these topics
.
There are opportunities for students to read and write mathematical
arguments and proofs. Students will also learn the process of mathematical modelling for real-world problems, which involves making informed assumptions, validation and prediction.
Pre-requisite : H2 Mathematics
Examinations : Students sit for one written paper.

NTU Numbers & Matrices
Numbers & Matrices offers students who have a strong aptitude for, and are passionate about mathematics, an opportunity to further develop their mathematical reasoning skills and enhance their understanding and appreciation of fundamental mathematical tools like number theory and matrix algebra as well as their relevance in modern applications. The topics covered include: basic number theory (divisibility and modular arithmetic), matrix algebra (solutions of systems of linear equations, properties of matrices, connection with
geometry) and vector spaces (real vector spaces, basis, rank and nullity). Several applications of these tools are also discussed, including: cryptography (symmetric-key cryptosystems, Hill cipher, RSA cryptosystem), Internet search engines, genetics and population growth, etc.
Mode : University-taught course
Pre-requisite : H2 Mathematics
Assessment : Students undertake the following components:
•
Mid-term tests
•
Final examination
You may not offer this subject together with NUS Linear Algebra.

NUS Linear Algebra
Linear Algebra serves as an introduction to the most basic concepts in linear algebra that are routinely applied in fields like science, engineering, statistics, economics and operations research. The vector spaces within which the general ideas are developed are all real vector spaces. The objective of the course is to inculcate a facility in both the algebraic and geometric viewpoints of linear algebra.
Proofs of results will be presented only if they are necessary for a proper understanding of the fundamental concepts and techniques. The course will develop basic skills in computing with vectors and matrices (with or without any mathematical software). It will also highlight examples of the more important applications of linear algebra in other fields.
The major topics included are: systems of linear equations; matrices; determinants; Euclidean n-space; subspaces; linear independence; basis and dimension; rank of a matrix; orthogonality and orthonormal bases; eigenvalues and eigenvectors; diagonalization; linear transformations from Rn to Rm; and, applications.
Mode : University-taught course
Pre-requisite : H2 Mathematics
Assessment : Students sit for the following
:
•
Mid-term tests
•
Computer Lab quiz
•
Others (e.g. quizzes, assignment)
•
Final examination
Students may also be assigned additional continuous assessments in the form of lecture quizzes or homework assignments.
You may not offer this subject together with NTU Numbers & Matrices