7S Pure Mathematics Homepage 7S Pure Mathematics HomepageHomework assignment for 3-D Coordinate Geometry and Polar Coordinates.
Additional Course notes for 3-D Coordinate Geometry.
Solution to test on System of Linear Equations and Vectors.
Teacher: Mr. David Cheuk (icq# 8239769)
Gallery of Students |
icq # (if available) |
|
| Chung Chun-wing |  |
62413282 |
| Chan Shun-yeung |  |
75826236 |
| Li Sin-ki, Yanki |  |
41786456 |
| Choi Shui-man | 23299921 | |
| Chan Hoi-ting |  |
26544893 |
| Law Shuk-kwan |  |
83033381 |
| Chan Siu-kan |  |
|
| Li Chi-keung, Kelvin |  |
81183172 |
| Siu Kin-wa |  |
15044058 |
| Tong Siu-fung |  |
42359701 |
| To Sze-chung |  |
17859676 |
| Leung Kin-fai |  |
92898389 |
| Man Wing-chi |  |
|
| Law Kar-shun |  |
25499325 |
| Ng Tin-hung |  |
36021239 |
| Leung Ka-yan, Maggie |  |
25525723 |
Vectors - you can download the supplementary course notes here.
Questions
for thinkingTwo-dimensional Coordinate Geometry
Three-dimensional Coordinate Geometry
Set Theory and Mathematical Language - you can download the supplementary course notes here.
Mathematical Induction - you can download the supplementary course notes here.
Inequalities - you can download the supplementary course notes here.
Binomial Theorem - you can download the supplementary course notes here.
Polynomials - you can download the supplementary course notes here.
Functions - you can download the supplementary course notes here.
Limit of a sequence - you can download the supplementary course notes here.
Limit of a function - you can download the supplementary course notes here.
Differentiation I - you can download the supplementary course notes here.
Differentiation II - you can download the supplementary course notes here.
Integration I - you can download the supplementary course notes here.
Integration II - you can download the supplementary course notes here.
Matrix - you can download the supplementary course notes here.
System of Linear Equations in 2 or 3 Unknowns - you can download the supplementary course notes here.
Coordinate Systems - you can download the additional course notes here.
Geometric Application of Definite Integral - you can download the additional course notes here.
Geometric Application of Definite Integral (Appendix) - you can download the additional course notes here.
Vectors - you can download the supplementary course notes here.
2D Geometry - you can download the supplementary course notes here. This is to be studied together with the additional course notes on "Coordinate Systems" and "Geometric Application of Definite Integral."
3D Geometry - you can download the supplementary course notes here.
3D Geometry - you can download the
additional course notes here.
Complex Numbers - you can download the supplementary course notes here.
The homework taken from past paper in "Differentiation I" can be downloaded from the following links:
Zipped file for the problems above.
The homework taken from past paper in "Differentiation II - L'Hospital's Rule" can be downloaded from the following links:
Zipped file for the problems above.
These are due after Easter Holidays.
The homework taken from past paper in "Differentiation II - Inequalities" can be downloaded from the following links:
Zipped file for the problems above.
The homework taken from past paper in "Differentiation II - Mean Value Theorem" can be downloaded from the following links:
Zipped file for the problems above.
The homework taken from past paper in "Differentiation II - Curve Sketching" can be downloaded from the following links:
Zipped file for the problems above.
You may find it interesting to observe your sketch compared to those generated by WinPlot.
(School) exam papers from previous years
Find all the prime factors of a number (up to 9 digits)
Journey of the one-dollar coin
Make a square from two equilateral triangles
Mathematics Encyclopedia - Irrationality of Square Root of 2
An article on mathematical induction
Fibonacci Sequence - the rabbits' problem
Fibonacci Numbers and the Golden Section
Mathematics Encyclopedia - Fibonacci Sequence
Very nice proofs of the Arithmetic Mean Geometric Mean Inequality can be found here.
Euclidean Algorithm for integers
Fermat's Last Theorem - Reading 1 (in Chinese)
Fermat's Last Theorem - Reading 2 (in Chinese)
The Four Color Theorem - Reading 1 (in Chinese)
The Four Color Theorem - Reading 2 (in Chinese)
exam-a.com (pure math section) - a nice internet forum on the A-Level Pure Math Papers.
HKEA Report on HKAL Pure Math Exam 2000.
Hong Kong EduCity.net Pure Math Forum
Augustin Louis Cauchy (1789-1857)
Karl Herman Amandus Schwarz (1843-1921)
Euclid of Alexandra (~325 BC - ~265 BC)
Godfrey Harold Hardy (1877-1947)
David Hilbert (1862-1943) - "Wir mussen wissen. Wir werden wissen."
Mathematical Induction (Total points 20; Mean 18)
Inequalities (Total points 30; Mean 15)
Binomial Theorem (Total points 20, Mean 14)
Polynomials: page 1, page 2 (Total points 40, Mean 27)
Half-yearly Examination: Question paper [Require Acrobat Reader] (Total points 200, Mean 125) Solution-p.1, p.2, p.3, p.4, p.5, p.6.
Functions: page 1, page 2 (Total points 50, Mean 28)
Limit of a sequence: Questions, page 1, page 2, page 3
Limit of a function:
Differentiation I and II: Questions, Solutions (Total points 30, Mean 22)
Integration I and II: Questions, Solutions (Total points 40, Mean 34)
Integration II: Questions, Solutions (p1, p2, p3, p4)
Annual Examination: Question set, Solutions (Total points 100, Mean 61)
Solutions to exercises in Integration I
Solutions to exercises in Integration II
System of Linear Equations and Vectors: Solutions (Total points 40, Mean 26) page 1, page 2, page 3, page 4, page 5, page 6
(You may have to download the free Acrobat Reader in order to read some of the files)
Problem 9 in Inequalities
Problem 10 in Inequalities (page 1, page 2)
Example D10(b) in Inequalities
Example D10(c) in Inequalities - the solution to this problem came from a contributor of the newsgroup hk.study.math in news.hkcampus.net
Another solution to Example D10(c) - also courtesy of a contributor of the same newsgroup. (page 1, page 2, page 3)
A hint to problem 5 in chapter of Binomial Theorem of the Textbook.
Solution to integration using substitution (Exercise B) #9
Explaination of 94 Paper II 12a(iii)
Differentiation I - problem B6 (first part)
Differentiation I - problem B7
Differentiation I - problem B8
