e-Learning for sixth form mathematics

Learning Vectors

2011-01-20T00:54:00.004+08:00

I created a new blog for learning vectors which will start soon. Feel free to visit the blog.

www.learningvectors.wordpress.com

New Year 2010

2010-01-26T18:44:00.001+08:00

Hi Students,

This is my first post for this new year. So sorry for abandoning this blog for quite some times. =)
Will soon update things like notes, test papers, exam papers.

June P1 2009

2009-10-10T21:51:00.004+08:00

Question for june 2009 P1

Answers for june 2009 P1

Paper 3 June 2009

2009-09-29T16:36:00.004+08:00

Hi Students,

Here is the link to the question paper for June Paper 3 2009. If you need the marking scheme please leave your name and your email address in the "CONTACT ME" form below.

If you just need the answer then click here.

Review Exercise for Topic 9

2009-08-30T21:43:00.004+08:00

Hi Students,

The last download for topic 9. Please download Review Exercise for Topic 9 for this week's lesson. Thank you.

Solutions for Mock Exam Paper 3

2009-08-26T21:09:00.003+08:00

Hi Students!

Just in case you didn't complete the correction. Download the solutions from here then.

9709 June 2002 P3 Q3

2009-08-09T13:38:00.011+08:00

Question:
The polynomial x⁴+4x²+x+a is denoted by p(x). It is given that (x²+x+2) is a factor of p(x). Find the value of a and the other quadratic factor of p(x).

Solution:
Let p(x) = x⁴+4x²+x+a = (x²+x+2)(x²+bx+c)

Comparing coefficient of:
x³: 0 = b + 1, b = -1
x²: 4 = c + b + 2, c = 3
x⁰: a = 2c, a = 6

Therefore, a = 6, the other quadratic factor of p(x) is x²- x + 3

Answers for Revision paper 3

2009-08-06T20:20:00.002+08:00

ANSWERSSS for PAPER 3:

Revision For Paper 3

2009-07-25T21:28:00.016+08:00

Hi Students!

Exam coming soon... So let's do some revision on Paper 3.
Download the review Topics in Paper 3.

Group 3 = Wednesday starts
Group 4 = Tuesday starts
Group 5 = Tuesday starts

p.s / Please register the forum I created and tried answer the questions I posted in the forum....

Complex numbers & Vectors

2009-06-01T23:31:00.007+08:00

Students! Please download the two last topics that we have in Paper 3.

Topic 8: Complex Numbers
Topic 9: Vectors

Complex numbers

2009-05-27T11:24:00.002+08:00

Hi Students! Go and have a read on the notes on An introduction to complex number at http://home.scarlet.be/~ping1339/complget.htm

Hope this will help.

Vectors for Paper 3

2009-05-22T23:36:00.002+08:00

You might find these websites useful.

http://www.walter-fendt.de/m11e/line3d.html (You will be able to see the 3D for vector equation of a line when give two points A and B.)

http://members.tripod.com/Paul_Kirby/vector/Vplane.html (Here show the method to find equation of a plane using three points by cross product)

Finding point of intersection of a line and a plane.

Finding cross product of two vectors

Away for two days.

2009-05-19T17:32:00.002+08:00

Hi students,

I uploaded the answers for June 2009 Paper 1. You can download and compare with your answers. Sorry to tell you all that I will be away on Wednesday and Thursday. Saturday classes still on, Morning and Afternoon. Bring your Note and exercise 7.2.

Regards,
LGK

Topic 7: Solving Differential Equations

2009-04-16T18:36:00.002+08:00

Hi students, here I found embeded video about this topic.

Have a look at the video. It's clear and easy to understand.

Example 1

Example 2

Revision revision revision for paper 1, Topic 4 & 5 in paper 3 (topic 4 and topic 5.)

2009-04-10T23:40:00.009+08:00

9709 Revision Paper 1(Doc file) is uploaded for you to try. Enjoy yourself!!!!

Review Exercise (Part 1) doc file
Review Exercise (Part 2) doc file

Topic 5: Integrations

2009-03-29T18:59:00.002+08:00

5.1: Basic integrations

5.2: Integration using trigonometrical relationship

5.3: Integration using logarithmic relationship

5.4: Integration using method of partial fractions

5.5: Integrations by U substitutions

Infinite integral

Definite integral

More on Infinite integrals

5.6: Integration by Parts

When do we use integration by parts?

Example of integration by parts

Topic 4: Differentiations

2009-03-29T18:28:00.002+08:00

Topic 4.3: Parametric equations
Still finding some videos for this topic.

Topic 4.4: Implicit Functions
Example 1

Example 2

Example 3

Example 4

New Notes!!!

2009-03-26T20:08:00.001+08:00

Hello students!!!! BACK TO SCHOOLLLLLLLL! Download the notes. =)

See you all on Monday!

Holiday! Prepare yourself for June Paper 1 2009

2009-03-16T20:36:00.006+08:00

Yoyo!!! Students:

Don't lag out during holiday..... Do some preparation for paper 1.
You can download the School Based Exam Paper 1 or do the Cambridge Past Year Exam Paper 1. Please take a look at the syllabus or the topics covered in Paper 1. Click here!!!!

Topic 4 Differentiations

2009-02-23T21:10:00.000+08:00

Hi Students,

Topic 4 notes ready to be downloaded.

Teacher Lim

To my beloved Students!!!!

2009-02-19T02:25:00.006+08:00

Hi Students,

Here come the answers. Hope it can help you all to solve all the revision exercise for topic 1 to 3.

Revision topic 1: Modulus Inequalities and Polynomials, Binomial and Partial.
Revision topic 2: Exponentials and logarithms
Revision topic 3: Trigonometry

See you guys on Saturday!

Teacher Lim

Rationalise Denominator

2009-02-10T23:09:00.003+08:00

3: Trigonometry

2009-02-01T20:47:00.007+08:00

Radians, Degrees, Quadrants

Graphs of secant, cosecant, cotangent

Graphs of sine, cosine, tangent

Proving identities

The proving of cos(a+b)

The proving of Sin(a+b)

Double angles

Properties of Logarithms

2009-02-01T20:34:00.003+08:00

Properties of logarithms

Natural Logarithms

Properties of Exponents

2 (b): Solving exponential and logarithmic equations

2009-01-25T23:26:00.001+08:00

2 (a): Properties of Logarithms

2009-01-25T23:23:00.003+08:00

1 (j): Binomial expansion of (3 + 2x)^-3

2009-01-19T19:48:00.001+08:00

1(i): Partial Fractions

2009-01-19T19:45:00.001+08:00

1 (h): Factor and Remainder theorem

2009-01-19T19:34:00.000+08:00

Topic 1.1: Modulus Functions

2009-01-05T18:41:00.001+08:00

Uploaded on authorSTREAM by geakuan

Topic 1(d): Division of Polynomials (Introduction)

2009-01-05T17:57:00.001+08:00

Topic 1(e): Long division of polynomials

2009-01-05T17:56:00.001+08:00

Topic 1(f): Dividing polynomial with a quadratic polynomial

2009-01-05T17:55:00.001+08:00

Topic 1(g): Synthetic Division of polynomials

2009-01-05T17:49:00.000+08:00

Topic 1(h): Synthetic division of Polynomials (Part 2)

2009-01-05T17:25:00.002+08:00

Topic 1(a): What is Absolute value?

2008-11-30T14:58:00.011+08:00

Topic 1(b): Solving Linear Absolute Equations and Inequalities

2008-11-30T14:45:00.012+08:00

Comments for blog Improvement!!!

2008-11-30T13:32:00.003+08:00

Hello all my beloved students and colleagues, this is a very new blog made in early November 2008. Still in a process of developing.... Need more comments/opinions/recommendations/etc.... for rooms of improvement.

Topic 1(c): How to solve quadratic inequalities?

2008-11-06T11:50:00.010+08:00

2008-11-04T21:04:00.001+08:00

Calculus onlinebook
online maths video
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academic e-learning
programming book

2008-11-04T19:35:00.002+08:00

Learning Algebra on your own beforehand. There are no response on all the links except the summary text. Click on the summary text to view a short note on each sub topic in ALGEBRA.

Learning Logarithms

2008-11-04T19:30:00.003+08:00

Law of logarithms!!!!

Indices Review Topic in Paper 3

2008-11-04T19:26:00.003+08:00

Have a look at it too! It's about law of indices.

Answer for Revision paper 1 and 3

2008-11-01T00:30:00.002+08:00

Click >>>> revision paper 3 solution for the answer!

9709 SMSO Revision for Pure Paper 1 and 3

2008-10-31T22:56:00.002+08:00

9709 Revision Paper 1 and 9709 Revision Paper 3 are uploaded for you to try. Enjoy yourself!!!!