Mathematics Mathematics Notes

FORM 1-4 MATHEMATICS NOTES

CHOOSE YOUR CLASS BELOW.FORM ONE MATHSFORM TWO MATHSFORM THREE MATHSFORM FOUR MATHS

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – ET THEORY

ET THEORYThe word set is used to denote a collection of well defined objects ∙ Set are denoted by capital letters e.g. A, B, C,

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – TRIGONOMETRY(2)

iii) Consider =But = ==Alternative: Using =Dividing by cos3θ numerator and denominator Applications of the double and triple formulaeA. Proving Identities Examples: Prove the following

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – TRIGONOMETRY(1)

TRIGONOMETRYTrigonometry is the study of angle measurement and functions that depends on angle.The fundamental trigonometric ratios are Sine (sin)Cosine (Cos)Tangent (Tan)Others are cosecant (cosec) Secant

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – LOGIC (2)

SENTENCE HAVING A GIVEN TRUTH TABLEExample.1 Find a sentence which has the following truth tablePQ–TTTTFTFTTFFFStep: 1. Mark lines which are T in last column 2.

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – LOGIC(1)

LOGICLogic concerns with the study of analysis of methods of reasoning which lead to certain conclusion or statement.ExampleIf it rains today we shall play football.

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – CIRCLE

CIRCLEIs the locus which sown on xy – plane so that it always constant distance i.e. radius from fixed pilot i.e. Centre. − Where the

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – COORDINATE GEOMETRY

COORDINATE GEOMETRY -Is the conic section whose eccentricity is equal to zero. -Coordinate geometry is the study of representation of geometry figure either on two

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – FUNCTION AND RELATION

FUNCTION AND RELATIONFUNCTIONS:Is the corresponding between two objects. E.g older than. Smaller than ect.Relation can be thought as:(i) Rule(ii) A mapping Example (iii) A graph

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – ALGEBRA

ALGEBRAIndices (law of exponents)Three basic rules including the Indices are: i) am x an = am + n ii) am ÷ an = am –

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – LINEAR PROGRAMING

LINEAR PROGRAMINGDefinitionIs a branch of mathematics which enables one to solve problems which either the greatest or minimum/least value of a certain quantity is required

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – DIFFERENTIATION

DIFFERENTIATION DERIVATIVESSlope of a curve A curve has different slopes at each point. Let A, B, and C be different points of a curve f

Form Five (As Level) Mathematics Pure Mathematics As Level(Form Five)

MATHEMATICS As LEVEL(FORM FIVE) NOTES – CALCULATING DEVICES

CALCULATING DEVICESOperations with the scientific CALCULATOR1. Additiona) 375 + 601 = 976b) 401 + 2801 + 70120 + 3 = 73, 325c) 0.0175 + 2.561

Form Four Mathematics Mathematics Notes Mathematics O Level(Form Four)

MATHEMATICS O LEVEL(FORM FOUR) NOTES – TRANSFORMATION IN THE PLANE

TRANSFORMATION IN THE PLANETransformation in the plane is a mapping which shifts an object from one position to another within the same plane.Examples of transformations

Form Four Mathematics Mathematics Notes Mathematics O Level(Form Four)

MATHEMATICS O LEVEL(FORM FOUR) NOTES – MATRICES

MATRICESOperations on matricesA matrix represents another way of writing information. Here the information is written as rectangular array. For example two students Juma and Anna

Form Four Mathematics Mathematics Notes Mathematics O Level(Form Four)

MATHEMATICS O LEVEL(FORM FOUR) NOTES – LINEAR PROGRAMMING

LINEAR PROGRAMMING SIMULTANEOUS EQUATIONS Solving simultaneous equations graphically, the solution is given by the point of intersection of the two lines.Examples 1. Solve graphically the