Ktl-icon-tai-lieu

đề cương luyện thi NUS

Được đăng lên bởi tungnguyen30
Số trang: 85 trang   |   Lượt xem: 2078 lần   |   Lượt tải: 0 lần
UNIVERSITY ENTRANCE EXAMINATION
MATHEMATICS SYLLABUS
There are two sections in the Mathematics syllabus. Students offering Mathematics at a standard
equivalent to ‘AO’ level in the GCE Advanced Level Examination must study Section A.
Students offering Mathematics at a standard equivalent to ‘A’ level Mathematics in the GCE
Advanced Level Examination must study both Section A and B.

1

MATHEMATICS
Syllabus for Section A
SYLLABUS

NOTES

1.

Elementary
two-dimensional
cartesian
coordinate
geometry:
distance between two points, the
gradient and the equation of a straight
line. Condition of two lines to be
parallel of perpendicular.

2.

Function.
Inverse of a one-one
function. Domain and range of a
function.
Composite functions.
Graphical illustration of relationship
between a function and its inverse.

The notations y = f(x) = sin x and f: x →
sin x will be used.

Determination of unknown constants
in a relationship by plotting an
appropriate straight line graph.
3.

Representation of a curve by means
of a pair of parametric equations;
equation of tangent and normal.

4.

Elementary properties of quadratic
equations. Range of values of the
function ax² + bx + c by graphical
and other methods.

Single parameter only. Conversion from
parametric to cartesion coordinates and
vice versa.

Solution of quadratic inequalities.
5.

Logarithms
indices.

and

surds,

rational

The remainder and factor theorems.
Factors of polynomials

Including polynomials up to degree 3.

Algebraic operations on polynomials
and rational functions.
Partial fractions.

The include denominators such as
(ax + b) (cx + d) (ex + f),
(ax + b) (cx + d)²,
and (ax + b) (x² + c²).

2

6.

Simultaneous equations, at least one
linear, in two unknowns.

7.

Elementary sequences Arithmetic and
geometric progressions and their sum
to n terms.

Including the sum to infinity of geometric
series.
Include the ∑ notation.

8.

Binomial expansion of (a + b)n for
positive integral n and its use for
simple approximations

Questions on the greatest term and on
properties of the coefficients will not be
asked.

The use of the expansion of (1 + x)n
when n is rational and |x| < 1.

To include the notation n! with 0! = 1, and
n
r

9.

Circular measure: arc length, area of a
sector of a circle.

10.

Trigonometric ratios of angles of any
magnitude and their relationships.
Graphs of sine, cosine and tangent.
The general solution of simple
trigonometric
equations
involving
any of the six simple trigonometric
func...
1
UNIVERSITY ENTRANCE EXAMINATION
MATHEMATICS SYLLABUS
There are two sections in the Mathematics syllabus. Students offering Mathematics at a standard
equivalent to ‘AO’ level in the GCE Advanced Level Examination must study Section A.
Students offering Mathematics at a standard equivalent to ‘A’ level Mathematics in the GCE
Advanced Level Examination must study both Section A and B.
đề cương luyện thi NUS - Trang 2
Để xem tài liệu đầy đủ. Xin vui lòng
đề cương luyện thi NUS - Người đăng: tungnguyen30
5 Tài liệu rất hay! Được đăng lên bởi - 1 giờ trước Đúng là cái mình đang tìm. Rất hay và bổ ích. Cảm ơn bạn!
85 Vietnamese
đề cương luyện thi NUS 9 10 559