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) Secant (sec) Cotangent (cot ) Let θ be the angle in a right angled triangle; then we say Sin θ COS θ Tan θ And = … Read more
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 football. It rained we did not play football Simple and compound sentence Consider the following sentence i) The medians of a triangle meet at a point ii) The … Read more
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 required under some given limitations or constraints. Example In a big – organization, decision about distribution in order to realize maximum profit or reduce costs of production are done by … Read more
ALGEBRA Indices (law of exponents) Three basic rules including the Indices are: i) am x an = am + n ii) am ÷ an = am – n iii) (am) n = am Negative indices Consider a5 ÷ a2 = a5 – 2 = a3 = a2 ÷ a5 = a2 – 5 = a … Read more
TOPIC 4: COORDINATE GEOMETRY I ~ ADV MATHEMATICS FORM 5 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 two or three dimension under the one of the following steps. … Read more
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 (x) Where ðx is the small increase in x ðy is the small increase in y The slope of chord AC = If C moves right up to A … Read more
TOPIC 1: CALCULATING DEVICES ~ ADV MATHEMATICS FORM 5 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 + 2.561 + 3.8976 = 6.4761 2. Subtraction … Read more
TOPIC 6: THE THEORY OF MONEY ~ ECONOMICS FORM 5 THE THEORY OF MONEY Money refers to anything of value which is generally acceptable by the whole society to act as a medium exchange. Money is accepted not for its own sale but because others will accept it in exchange for goods and services. Therefore … Read more
TOPIC 4: MARKET ~ ECONOMICS FORM 5 Meaning of market Market refers to a situation where buyers and sellers are in close contact exchanging goods and services and the price of the commodity is being determined. Market can be a place or process. Determinants or Essentials of a market Presence of a commodity In a … Read more
TOPIC 3: THEORY OF DEMAND AND SUPPLY ~ ECONOMICS FORM 5 THEORY OF DEMAND Demand refers to quantity of the goods and services consumers are able and willing to purchase at the prevailing price in a given period of time. According to Bober “By demand we mean the various quantities of a given commodity or … Read more