Another 4 months plus to O-Level exams!!
I'm rather sure the year end long revision classes are not enough, especially the fact that not all of you can make it for all the revision classes as you have other subjects to prepare for, so check out the following June holiday classes:
The following is only for O LEVEL students!
OR for Sec 3 students who need to recap n relearn for their Sec3 topics
To help students better prepared for their O Level Examinations, I will spread out and focus on specific topics on each day. If you are VERY SURE you are an expert in particular day topics, Yap! Good news! Dont need to come for that day lesson. All the following 10 sessions cover the entire New O-Level Mathematics syllabus.
Check out the Date/Day/Topics/Sub topics covered as follows:
9th June 2008 Monday 10 - 1130am
Exponential, logarithmic and modulus functions
Include:
- functions , , loxaexgax, In x and their graphs
- laws of logarithms
- equivalence of xya= and logaxy=
- change of base of logarithms
- function x and graph of f(),x where f()x is linear, quadratic or trigonometric
- solving simple equations involving exponential, logarithmic and modulus functions
Who is coming?
- Gwen
- Christiana D'c
- Grace Lim nc
- Sangeetha
10th June 2008 Tuesday 10 - 1130am
Binomial expansions
Include:
- Include:
- use of the Binomial Theorem for positive integer n
- use of the notations and !
- use of the general term 0 < r
Exclude:
- proof of the theorem
- knowledge of the greatest term and properties of the coefficients
Who is coming?
- Christiana
- Jolyn (kevin Cousin)
- Grace Lim nc
11th June 2008 Wednesday 10 - 1130am
Partial fractions
5 cases (3,1,1)
and different styles of questions
Who is coming?
- Christiana
- Grace Lim nc
12th June 2008 Thursday 10 - 1130am
Polynomials
Include:
- multiplication and division of polynomials
- use of remainder and factor theorems
- factorisation of polynomials
- solving cubic equations
Simultaneous equations in two unknowns
Include:
- solving simultaneous equations with at least one linear equation, by substitution
- expressing a pair of linear equations in matrix form and solving the equations by inverse matrix method
Who is coming?
- Christiana
13th June 2008 Friday 10 - 1130am
Trigonometric functions, identities and equations
Include:
- six trigonometric functions for angles of any magnitude (in degrees or radians)
- principal values of sin-1 x, cos-1 x, tan-1 x
- exact values of the trigonometric functions for special angles
(30°, 45°, 60°)
- amplitude, periodicity and symmetries related to the sine and cosine functions
- graphs of y = a sin(bx) + c
- sec2A = 1 + tan2A, cosec2A = 1 + cot2A
- the formulae for sin2A, cos2A and tan2A
- R - Formulae
- simplification of trigonometric expressions
- solution of simple trigonometric equations in a given interval
- proofs of simple trigonometric identities
- Exclude general solution of trigonometric equations
Who is coming:
- wanni
- Cherie
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Grace Lim nc
- Pearlyn
15th June 2008 Sunday 9 - 1030am
Quadratic equations and inequalities
Include:
- conditions for a quadratic equation to have:
(i) two real roots
(ii) two equal roots
(iii) no real roots
and related conditions for a given line to:
(i) intersect a given curve
(ii) be a tangent to a given curve
(iii) not intersect a given curve
- solution of quadratic inequalities, and the representation of the solution set on the number line
- conditions for to be always positive (or always negative) 2++axbxc
- relationships between the roots and coefficients of the quadratic equation 20ax+bx+c=0
Indices and surds
Include:
- four operations on indices and surds
- rationalising the denominator
- solving equations involving indices and surds
Who is coming?
- Cherie
- Avril
- Christiana
- Jolyn (kevin Cousin)
16th June 2008 Monday 330 - 5pm
Coordinate geometry in two dimensions
Include:
- condition for two lines to be parallel or perpendicular
- mid-point of line segment
- finding the area of rectilinear figure given its vertices
- graphs of equations
- y = axn, where n is a simple rational number
- y2 = kx
- coordinate geometry of the circle with the equation
- transformation of given relationships, including y = axn and y = kbx, to linear form to determine the unknown constants from the straight line graph
- Exclude:
- finding the equation of the circle passing through three given points
- intersection of two circles
Who is coming?
- Cherie
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Gwen
18th June 2008 Wednesday 330 - 5pm
Proofs in plane geometry
Include:
- symmetry and angle properties of triangles, special quadrilaterals and circles
- mid-point theorem and intercept theorem for triangles
- tangent-chord theorem (alternate segment theorem), intersecting chords theorem and tangent-secant theorem for circles
- use of above properties and theorems
Who is coming?
- Cherie
- Christiana
- Yilin
18th June 2008 Wednesday 5 - 630pm
Differentiation 01
Include:
- derivative of f(x) as the gradient of the tangent to the graph of y = f(x) at a point
- derivative as rate of change
- derivatives of xn, for any rational n, sin x, cos x, tan x, ex and ln x, together with constant multiples, sums and differences
- derivatives of composite functions
- derivatives of products and quotients of functions
Who is coming?
- Cherie
- Christiana
20th June 2008 Friday 330 - 5pm
Differentiation 02
Include:
- increasing and decreasing functions
- stationary points (maximum and minimum turning points and stationary points of inflexion)
- use of second derivative test to discriminate between maxima and minima
- applying differentiation to gradients, tangents and normals, connected rates of change and maxima and minima problems
Who is coming?
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Yilin
20th June 2008 Friday 5 - 630pm
integration 01
Include:
- integration as the reverse of differentiation
- integration of xn for any rational n, sin x, cos x, sec2 x and ex, together with constant multiples, sums and differences
- integration of (ax + b)n for any rational n, sin(ax + b), cos(ax +b) and e(ax + b)
Who is coming?
- Cherie
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Yilin
22nd June 2008 Sunday 9 - 1030am
Integration 02
Include:
- definite integral as area under a curve
- evaluation of definite integrals
- finding the area of a region bounded by a curve and lines parallel to the coordinate axes
- finding areas of regions below the x-axis
- application of differentiation and integration to problems involving displacement, velocity and acceleration of a particle moving in a straight line with variable or constant acceleration
Who is coming?
- Cherie
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Yilin
Kindly call me at 64257865 / sms me at 93893445 for enquires.
Best regards,
Miss Wu
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