Hey!!! As per your demand here I am providing you syllabus of the Mathematics of Entrance Exam of NUS

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.


Syllabus for Section A

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. 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. Solution of quadratic inequalities.

5. Logarithms and surds, rational indices. The remainder and factor theorems. Factors of polynomials Algebraic operations on polynomials and rational functions. Partial fractions.

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

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

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

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

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

10. Trigonometric ratios of angles of any magnitude and their relationships.

Attached Files

Syllabus of the Mathematics of Entrance Exam of NUS.pdf (44.5 KB, 212 views)