FURTHER MATHEMATICS SSS1 FIRST TERMWEEK 1INDICESContents Basic Concept of Laws of Indices Application of Laws of IndicesBasic Concept of Laws of IndicesA number of the form am where a is a real number, a is multiplied by itself m times,The number a is called the base and the superscript m is called the index (plural indices) or exponent.

FURTHER MATHEMATICS SSS1 FIRST TERMWEEK 2INDICIAL AND EXPONENTIAL EQUATIONSContents Exponential Equation of Linear Form Exponential Equation of Quadratic FormExponential Equation of Linear FormUnder an exponential equation, if the base numbers of any equation are equal, then the power will be equal & vice versa.

FURTHER MATHEMATICS SSS1 FIRST TERMWEEK 3LOGARITHM – SOLVING PROBLEMS BASED ON LAWS OF LOGARITHMContents Logarithm of numbers (Index & Logarithmic Form) Laws of Logarithm Logarithmic Equation Change of Base Standard forms Logarithm of numbers greater than one Multiplication and divisions of numbers greater than one using logarithm Using logarithms to solve problems with roots and powers (no > 1)

FURTHER MATHEMATICS SSS1 FIRST TERMWEEK 4REVIEW OF BASIC CONCEPT OF SET

FURTHER MATHEMATICS SSS1 FIRST TERM WEEK 5SETSContents Idea of a set: set notations and applications. Disjoint sets , Venn diagramA. IDEA OF SET, NOTATIONS, AND APPLICATIONS.Definitions: A set can be defined as a group or a collection of well-defined objects or numbers e.g collection of books, or cooking utensils. A set is denoted by capital letters such as P, Q, and R e.t.c while small letters are used to denote the elements e.g. a, b, c

FURTHER MATHEMATICS SSS1 FIRST TERMWEEK 5OPERATION OF SET AND VENN DIAGRAMSContentsUse of Venn diagrams to solve problems involving three sets

FURTHER MATHEMATICS SSS1 FIRST TERM WEEK 6FIRST HALF-TERM REVISION QUESTIONS1 . Evaluate the following (a) 323/5 (b) 251.5 (c) (0.000001)2 (d) 3432/3 (e) 1902 . Solve the following exponential equations (a) 2x = 0.125 (b) 3-x = 243 (c) 25x = 625 (d) 10x = 1/0.001 (e) 4/2x =64x3 . Solve the following exponential equations (a) 22x -6(2x) + 8 = 0 (b) 22x+1 -5(2x) + 2 = 0

FURTHER MATHEMATICS SSS1 FIRST TERMWEEK 7BINARY OPERATIONS: BASIC CONCEPT OF BINARY OPERATIONSContents Concept of binary operations, Closure property Commutative property Associative property and Distributive property.Definition:A binary operation is any rule of a combination of any two elements of a given non-empty set. The rule of combining two elements of a set may give rise to another element that may or may not belong to the set under consideration.

FURTHER MATHEMATICS SSS1 FIRST TERM WEEK 8BINARY OPERATIONS: IDENTITY AND INVERSE ELEMENTSContentsIdentity element and Inverse elementIdentity Element: Given a non-empty set S which is closed under a binary operation * and if there exists an element e € S such that a*e = e*a = a for all a € S, then e is called the IDENTITY or NEUTRAL element. The element is unique.

FURTHER MATHEMATICS SSS1 FIRST TERM WEEK 9SURDSContents Rules of surds Basic Form of Surds Similar Surds Conjugate Surds Simplification of Surds Additional & Subtraction of Surds Multiplication and Division of Surds Rationalization of Surds Equality of Surds

FURTHER MATHEMATICS SSS1 FIRST TERM STATISTICS: MEASURES OF CENTRAL TENDENCYContentMEASUREMENT OF CENTRAL TENDENCY Mean, Median and Mode of ungrouped Mean, Median and Mode of grouped dataMeasures of central tendency: This is a measure of how the data are centrally placed. The three commonest measures of position, depending on the information required are the arithmetic mean, median and mode.MEAN: It is the most widely used measure and is sometimes called the arithmetical average. The mean of the number x1, x2,