o level additional mathematics – 4037 - TKMaths

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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.


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.

o level additional mathematics – 4037 - TKMaths

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