A LEVEL H2 MATHEMATICS

Something Extra To Give you A Leg Up

SUPPLEMENTS

PURE MATHEMATICS 

EVALUATING INTEGRALS WITH MODULUS FUNCTIONS

evaluate integrals with modulus functions.png

DISCOVERING UNKNOWN FUNCTION GIVEN A KNOWN COMPOSITE FUNCTION

discovering unknown function from known composite function.png

SKETCHING SPECIAL TRIGONOMETRIC FUNCTIONS (2)

sketching special trig functions 2.png

COMPUTING VOLUME OF TETRAHEDRON - VECTORS

computing volume of tetrahedron.png

PROVING TRIANGLE INSCRIBED WITHIN Semi-CIRCLE IS RIGHT ANGLED: A VECTORS APPROACH

prove triangle inscribed within semicircle is right angle using vectors.png

FINDING THE INVERSE OF A COMPOSITE FUNCTION

Finding the inverse of a composite function.png

PROVING A FUNCTION IS SYMMETRICAL ABOUT THE Y-AXIS

proving function is symmetrical about the y axis.png

SOLVING FIRST ORDER DIFFERENTIAL EQUATIONS VIA INTEGRATING FACTOR METHOD

integrating factor for 1st order DE.png

ACHIEVING DIRECTION VECTOR OF LINE OF INTERSECTION BETWEEN TWO PLANES: A VISUAL APPROACH

line of intersection between two planes vectors.png

DETERMINING VERTICES OF A POLYGON IN ARGAND SPACE: A VECTORS APPROACH

determining vertices of polygon in argand space using vectors.png

FINDING THE RANGE OF A COMPOSITE FUNCTION: A VISUAL APPROACH

finding the range of a composite function.png

SKETCHING SPECIAL TRIGONOMETRIC FUNCTIONS (1)

sketching special trig functions 1.png

DETERMINING IF TWO LINES ARE COINCIDENT - VECTORS

coincident lines vectors.png

FINDING POINT ON GIVEN VECTOR LINE EQUATION FOR AN ANGLE BISECTOR

finding point on vector line eqn for angle bisector.png

PROVING e^i(2kπ+θ)=e^i(θ) : COMPLEX NUMBERS

Proving e^i(2kpi+theta)=e^i(theta) complex numbers.png

STATISTICS

Discerning distribution of X-MU from a given normal random variable X

Discerning distribution of X minus miu from a given normal random variable X.png

DETERMINING INTERQUARTILE RANGE OF A NORMAL DISTRIBUTION

interquartile range.png

Proving 2 versions of unbiased estimates of population variance are equivalent - Sampling / Estimation

Proving 2 versions of unbiased esimate of population variance are equivalent.png

Solving For Unknowns Using Symmetrical Properties of The Normal Distribution Curve

Solving For Unknowns Using Symmetrical Properties of The Normal Distribution Curve.png