Teaching and Learning

 




Old matrix test 1 
SOLUTION

Yellow Dragon Articles

1985 An Extension of Extended Partial Fraction Theorem

1986 Vandermonde determinant with higher degree

2007 Simply Logic and Numbers

2008 When vectors shoot at the Centres of a Triangle

2009 Cream Cake Fight

Easier Intermediate Harder
Coal Problem, pdf
Coal Problem, docx

Who says that an identity cannot be proved simply by substitution.pdf
Who says that an identity cannot be proved simply by substitution.docx

Integrate e^ax cos (bx+c).pdf
Integrate e^ax cos (bx+c).docx
Construction of a regular pentagon worksheet, pdf
Construction of a regular pentagon worksheet, docx
Short note on differentiation using the chain rule repeatedly.pdf
Short note on differentiation using the chain rule repeatedly.docx

Integrate Sqr (1+x^2).pdf
Integrate Sqr (1+x^2).docx

Beautiful number patterns, pdf
Beautiful number pattern, docx

Apothem - a Calculus problem, pdf
Apothem - a Calculus problem, docx
A harder 2 = 1 fallacy, pdf
A harder 2 = 1 fallacy, docx
A small magic dice problem, pdf
A small magic dice problem, docx
Examples of 3D sketching, pdf
Examples of 3D sketching, docx
Integrate sec x, pdf
Integrate sec x, docx
A paradox in using percentages, pdf
A paradox in using percentages, docx

Binomial Theorem Vs Trinomial Theorem, pdf
Binomial Theorem Vs Trinomial Theorem, doc
Introduction to the Square Root of a Matrix.pdf
Introduction to the Square Root of a Matrix.docx
Find the mistake in an inequality problem, pdf
Find the mistake in an inequality problem, doc

Request for help on a locus problem, pdf
Request for help on a locus problem, docx
Integration using parameter.pdf
Integration using parameter.docx
Volume of Frustum, pdf
Volume of Frustum, doc

Paradoxes in complex number for beginners, pdf
Paradoxes in complex number for beginners, Docx
An integration problem from Malaysia student.pdf
An integration problem from Malaysia student.docx
On Logarithm, pdf
On Logarithm, doc

Principle of inclusion and exclusion, pdf
Principle of inclusion and exclusion, docx
An example in calculating Arc Length.pdf
An example in calculating Arc Length.docx
Some questions on Square and Cube Formulae, pdf
Some questions on Square and Cube Formulae, doc

Discussion on a small quadratic equation problem, pdf
Discussion on a small quadratic equation problem, docx

Skew Lines, a 3D example, pdf
Skew Lines, a 3D example, docx
A problem on complex root of quadratic equation , pdf
A problem on complex root of quadratic equation , doc

An example on five classical centres of a right angled triangle, pdf
An example on five classical centres of a right angled triangle, docx

Solve 2^x+x-2=0. pdf
Solve 2^x+x-2=0. docx
Support document : Numerical method.xlsx
Geometric construction of square root of a positive integer, pdf
Geometric construction of square root of a positive integer, doc


Solve system of equations with 150 variables (2013)
SOLUTION

Equation of sphere through four points, pdf
Equation of sphere through four points, docx

Surd equations, pdf
Surd equations, doc

Slope of angle bisectors of rhombus, pdf
|Slope of angle bisectors of rhombus, docx
Solve a system of non-linear equation, pdf
Solve a system of non-linear equation, docx
Using completing square to simplify surds, pdf
Using completing square to simplify surds, doc
LCM x HCF = Product of numbers? , pdf
LCM x HCF = Product of numbers?, docx

A short note in comparing a series and an integral, pdf
A short note in comparing a series and an integral, docx

Binary, Quaternary, Octary, Denary and Hexadecimal number systems, pdf
Binary, Quaternary, Octary, Denary and Hexadecimal number systems, doc
Pascal Formula for Binomial Coefficient, pdf
Pascal Formula for Binomial Coefficient, doc

Nested square roots.pdf
Nested square roots. docx

Illegal Operation Fun, pdf
Illegal Operation Fun, doc

A probability worksheet. pdf
A probability worksheet. doc
Notes on Indefinite Integration HKDSE
A small infinite geometric series problem , pdf
A small infinite geometric series problem , doc
Using quadratics to find the range of some rational functions, pdf
Using quadratics to find the range of some rational functions, doc

Crystal production: integration OR summation? pdf
Crystal production: integration OR summation? Docx

A question on Straight line , pdf
A question on Straight line , doc

Solve a sin x +b cos x = c , pdf
Solve a sin x +b cos x = c , doc
Email discussions with an Indian teacher on Mathematics, pdf
Email discussions with an Indian teacher on Mathematics, Docx
Pirates of the Caribbean , pdf
Pirates of the Caribbean , doc

Harder area problems, pdf
Harder area problems, doc
A locus problem, pdf
A locus problem docx
Signs of complete square , pdf
Signs of complete square , doc
Elementary Techniques in differentiation from the First Principle, pdf
Elementary Techniques in differentiation from the First Principle, doc

A small inequality problem, pdf
A small inequality problem, docx
Different Nets , pdf
Different Nets , doc
Some harder examples of subsidiary angle form in trigonometry , pdf
Some harder examples of subsidiary angle form in trigonometry , doc

Integrate 1/(x^3+1) and 1/(x^4+1) , pdf
Integrate 1/(x^3+1) and 1/(x^4+1) , docx

Positive Integral solution of the Lens Formula, pdf
Positive Integral solution of the Lens Formula, doc

A good series, pdf
A good series, doc

Pivot method for solving system of linear equations and an interesting mistake, pdf
Pivot method for solving system of linear equations and an interesting mistake, docx

  Quotient Rule Song , pdf
Quotient Rule Song , doc

Envelope, pdf
Envelope, docx

  Cowboy Probability , pdf
Cowboy Probability , doc
nth power of a matrix and Binet Formula for Fibonacci Sequence, pdf
nth power of a matrix and Binet Formula for Fibonacci Sequence, docx
  A small problem in probability , pdf
A small problem in probability , doc

An improper integral and an infinite series, pdf
An improper integral and an infinite series, doc
  Disappeared circle , pdf
Disappeared circle , doc

Birthday Paradox, pdf ¡@ (excel)
Birthday Paradox, doc
  A mistake in finding min. in quadratic function , pdf
A mistake in finding min. in quadratic function , doc
An area problem revisited pdf
An area problem revisited docx
  Mistake in a Vector Problem, pdf
Mistake in a Vector Problem, doc
Points of inflection , pdf
Points of inflection , doc
  Mathematical Induction, pdf
Mathematical Induction, doc
Discussions on a Mathematical Induction problem , pdf
Discussions on a Mathematical Induction problem , doc
  A Trigonometry Mistake, pdf
A Trigonometry Mistake, doc
Matrix Quiz , pdf
Matrix Quiz , doc
  Positive Roots of Quadratic Equations, pdf
Positive Roots of Quadratic Equations, doc

A small determinant problem , pdf
A small determinant problem , doc
  Factorization using cross multiplication method, pdf
Factorization using cross multiplication method, doc

A Hyperbola in complex plane ? , pdf
A Hyperbola in complex plane ? , doc
  Discussion on two small problems in A. Math. Mock Exam , 2009, pdf
Discussion on two small problems in A. Math. Mock Exam , 2009, doc

Complex locus of a circle , pdf
Complex locus of a circle , doc
Harder applications in Heron's formula, pdf
Harder applications in Heron's formula, doc
    A harder quadratic problem, pdf
A harder quadratic problem, doc
    Difference method for some finite algebraic series, pdf
Difference method for some finite algebraic series, doc
    The optimal bond angle of Methane, pdf
The optimal bond angle of Methane, doc
    A divisibility problem, pdf
A divisibility problem, doc
    If or only if, pdf
If or only if, doc
    Mistake in a Vector Problem, pdf
Mistake in a Vector Problem, doc
    A small binomial theorem problem, pdf
A small binomial theorem problem, doc