ADVANCED MATHEMATICS FORM 5 & 6

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MATHEMATICS NOTES FOR ORDINARY LEVEL

Advanced Mathematics Past Papers

Advanced Mathematics Past Papers Advanced Mathematics Past Papers:- Form Six ACSEE Advanced Mathematics past papers from National Exams (NECTA). When it comes to the concept of...
LOGIC

TOPIC 3: LOGIC (II) ~ ADV MATHEMATICS FORM 5

LOGIC (II) SENTENCE HAVING A GIVEN TRUTH TABLE Example.1 Find a sentence which has the following truth table P Q – T T T T F T F T T F F F Step: 1. Mark lines which...
TRIGONOMETRY

TOPIC 7: TRIGONOMETRY(II) ~ ADV MATHEMATICS FORM 5

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

TOPIC 7: TRIGONOMETRY (I) ~ ADV MATHEMATICS FORM 5

TRIGONOMETRY Trigonometry 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)...
LOGIC

TOPIC 3: LOGIC (I) ~ ADV MATHEMATICS FORM 5

LOGIC Logic concerns with the study of analysis of methods of reasoning which lead to certain conclusion or statement. Example If it rains today we shall play...

TOPIC 8: LINEAR PROGRAMING ~ ADV MATHEMATICS FORM 5

LINEAR PROGRAMING Is a branch of mathematics which enables one to solve problems which either the greatest or minimum/least value of a certain quantity is...
ALGEBRA

TOPIC 6: ALGEBRA ~ ADV MATHEMATICS FORM 5

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

TOPIC 4: COORDINATE GEOMETRY I ~ ADV MATHEMATICS FORM 5

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

TOPIC 9: DIFFERENTIATION ~ ADV MATHEMATICS FORM 5

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

TOPIC 1: CALCULATING DEVICES ~ ADV MATHEMATICS FORM 5

CALCULATING DEVICES Operations with the scientific CALCULATOR 1. Addition a) 375 + 601 = 976 b) 401 + 2801 + 70120 + 3 = 73, 325 c) 0.0175 +...

TOPIC 10: INTEGRATION | MATHEMATICS FORM 5

INTEGRATION Integration :Is the reverse process of differentiation, i.e. the process of finding the expression for y in terms of x when given the gradient function. The...

TOPIC 9: DIFFERENTIATION | MATHEMATICS FORM 5

DERIVATIVES Slope of a curve A curve has different slopes at each point. Let A, B, and C be different points of  a curve f (x) Where...

TOPIC 1: CALCULATING DEVICES | MATHEMATICS FORM 5

CALCULATING DEVICES Operations with the scientific calculator 1. Addition a)  375 + 601 = 976 b)  401 + 2801 + 70120 + 3 = 73, 325 c)  0.0175 +...

TOPIC 2: SETS | MATHEMATICS FORM 5

SET THEORY The word set is used to denote a collection of well defined objects  Set are denoted by capital letters e.g. A, B, C,...

TOPIC 5: FUNCTION AND RELATION | MATHEMATICS FORM 5

FUNCTIONS 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 of x-y plane. DOMAIN -Is...

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