H2 Math Syllabus 2024

Embarking on the H2 Math journey is a significant academic endeavor that demands clarity, understanding, and strategic preparation. The following are the syllabus content from the H2 math syllabus 2024 (SEAB).

H2 Math Syllabus Content 

Topic/Sub-topics Content
Functions and Graphs

    Topic 1.1—Functions  

    Topic 1.2—Graphs and Transformations

    Topic 1.3—Equations and inequalities

• concepts of function, domain and range
• use of notations
• finding inverse functions and composite functions
• conditions for the existence of inverse functions and composite functions
• domain restriction to obtain an inverse function
• relationship between a function and its inverse.
Sequences and Series

    Topic 2.1—Sequences and Series  


• concepts of sequence and series for finite and infinite cases
• sequence as function y = f(n) where n is a positive integer
• relationship between un (the nth term) and Sn (the sum to n terms)
• sequence given by a formula for the nth term
• use of Σ notation
• sum and difference of two series
• summation of series by the method of differences
• convergence of a series and the sum to infinity • formula for the nth term and the sum of a finite arithmetic series
• formula for the nth term and the sum of a finite geometric series
• condition for convergence of an infinite geometric series
• formula for the sum 

    Topic 3.1—Basic properties of vectors in two and three dimensions

    Topic 3.2— Scalar and vector products in vectors

    Topic 3.3 — Three Dimension Vector Geometry



• addition and subtraction of vectors, multiplication of a vector by a scalar, and their geometrical interpretations

• use of notations

• magnitude of a vector

• unit vectors

• distance between two points

• collinearity

• use of the ratio theorem in geometrical applications



• concepts of scalar product and vector product of vectors and their properties

• angle between two vectors

• geometrical meanings of | a

• nˆ | and | a × nˆ |, where nˆ is a unit vector Exclude triple products a

• b × c and a × b × c .



• vector and cartesian equations of lines and planes

• finding the foot of the perpendicular and distance from a point to a line or to a plane

• finding the angle between two lines, between a line and a plane, or between two planes

• relationships between (i) two lines (coplanar or skew) (ii) a line and a plane (iii) two planes


• finding the shortest distance between two skew lines


• finding an equation for the common perpendicular to two skew lines




Introduction to Complex numbers

    Topic 4.1—Complex numbers expressed in cartesian form

    Topic 4.2—Complex numbers expressed in polar form





• extension of the number system from real numbers to complex numbers

• complex roots of quadratic equations

• conjugate of a complex number

• four operations of complex numbers

• equality of complex numbers

• conjugate roots of a polynomial equation with real coefficients

representation of complex numbers in the Argand diagram

• complex numbers expressed in the form r(cos θ + i sin θ), or reiθ where r > 0 and – π < θ ⩽ π

• calculation of modulus (r) and argument (θ) of a complex number

• multiplication and division of two complex numbers expressed in polar form




Topic 5.1—Differentiation

Topic 5.2— Maclaurin series

Topic 5.3—Integration techniques

Topic 5.4 — Definite integrals

Topic 5.5 — Differential equations








• graphical interpretation of (i) f′(x) > 0, f′(x) = 0 and f′(x) < 0 (ii) f″(x) > 0 and f″(x) < 0

• relating the graph of y = f′(x) to the graph of y = f(x)

• differentiation of simple functions defined implicitly or parametrically

• determining the nature of the stationary points (local maximum and minimum points and points of inflexion) analytically, in simple cases, using the first derivative test or the second derivative test

• locating maximum and minimum points using a graphing calculator • finding the approximate value of a derivative at a given point using a graphing calculator

 • finding equations of tangents and normals to curves, including cases where the curve is defined implicitly or parametrically

• local maxima and minima problems

• connected rates of change problems Exclude finding non-stationary points of inflexion and finding second derivatives of functions defined parametrically.



List of tested topics pdf






Probability and Statistics

    Topic 6.1—Probability  

    Topic 6.2—Discrete random variables

    Topic 6.3—Normal distribution

    Topic 6.4- Sampling

    Topic 6.5- Hypothesis Testing

    Topic 6.6- Correlation and Linear Regression




Refer to syllabus link Above

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