1.1 Real numbers

1.2 Exponents and logarithms

1.3 Complex numbers

1.4 Sets

Explanatory notes

Candidates should be able to

(a) understand the real number system;

(b) carry out elementary operations on real numbers;

(c) use the properties of real numbers;

(d) use the notation for intervals of real numbers;

(e) use the notation |x| and its properties;

(f) understand integral and rational exponents;

(g) understand the relationship between logarithms and exponents;

(h) carry out change of base for logarithms;

(i) use the laws of exponents and laws of logarithms;

(j) use the results: for a

**1, and and,,and**

(k) solve equations and inequality of involving exponents and logarithms;

(l) understand the meaning of the real part, imaginary part, and conjugate of a complex number;

(m) find the modulus and argument of a complex number;

(n) represent complex numbers geometrically by means of an Argand diagram;

(o) use the condition for the equality of two complex numbers;

(p) carry out elementary operations on complex numbers expressed in Cartesian form;

(q) understand the concept of a set and set notation;

(r) carry out operations on sets;

(s) use the laws of the algebra of sets;

(k) solve equations and inequality of involving exponents and logarithms;

(l) understand the meaning of the real part, imaginary part, and conjugate of a complex number;

(m) find the modulus and argument of a complex number;

(n) represent complex numbers geometrically by means of an Argand diagram;

(o) use the condition for the equality of two complex numbers;

(p) carry out elementary operations on complex numbers expressed in Cartesian form;

(q) understand the concept of a set and set notation;

(r) carry out operations on sets;

(s) use the laws of the algebra of sets;

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