tkmaths.com tkmathsisfun.blogspot.com compiled by Tahmeena Khan
O LEVEL ADDITIONAL MATHEMATICS – 4037
CAIE SYLLABUS
1 Functions
2 Quadratic functions
3 Equations, inequalities and graphs
4 Indices and surds
5 Factors of polynomials
6 Simultaneous equations
7 Logarithmic and exponential functions
8 Straight line graphs
9 Circular measure
10 Trigonometry
11 Permutations and combinations
12 Series
13 Vectors in two dimensions
14 Differentiation and integration
NOTE:
1. This checklist does not have the explanation of the concepts. 2. For explanation please refer to the “Revision Guidlines / Notes with solved examples” on the
website tkmaths.com. 3. Visit to the website tkmaths.com and the blog tkmathsisfun.blogspot.com
will be beneficial for you in your learning process.
Checklist for Exam Preparation
S.# Topic What you need to know
1 Simultaneous Equation Simultaneous Linear equation in two unknown. Simultaneous Linear and Non-Linear equations
in two unknown. -
2 Indices, Surds and Logarithms.
Rules of Indices. Surds
- Rationlise the denominator, - Conjugate surds.
tkmaths.com tkmathsisfun.blogspot.com compiled by Tahmeena Khan
Exponential equations. - Solve using simultaneous equations. - Solve using the substitution - Solving using rules of indices.
Logarithms - Common and Natural Logarithms - Conversion of logarithmic form into index
form and vice versa. - Solving Logarithmic equations. - Limitation of Loagarithmic functions i.e
when logarithms are defined. - Solving Logarithmic equation and
exponential equation simultaneously. Laws of Logarithms.
- Change of base law - Product law - Quotient law - Power law
graphs of 𝑘𝑒𝑛𝑥 and kln(ax + b) where n, k, a and b are integers.
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