THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK NINE TOPIC : APPLICATION OF INTEGRATION II : SOLID REVOLUTION AND TRAPEZOIDAL RULE A solid whichb has a central axis of symmetry is a solid of revolution.Forexample, a cone, a cylinder , a vase etc. y Consider the area
THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK EIGHT TOPIC : INTEGRATION [INDEFINITE Integral DEFINITE INTEGRAL AND AREA UNDER CURVE] The process of reversing differentiation is called Integration. If dy/dx = 3x2, then y could be x3, as the derivative of x3is 3x2. We say that x3
THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK SEVEN TOPIC: INTEGRATION Integration: This is defined as anti- differentiation. Suppose, y = x3 + 2x, the first derivative is 3x2 + 2. (dy/dx = 3x2 + 2) then the anti – derivative of 3x2 + 2 =
THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK FIVE TOPIC : MECHANICS ; VECTORS OR CROSS PRODUCT ON TWO OR THREE DIMENSION , CROSS PRODUCT OF TWO VECTORS AND APPLICATION OF CROSS PRODUCT Vector Product of two vectors Given two vectors and whose directions are
THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK FOUR TOPIC:MECHANICS (VECTOR GEOMETRY) SCALAR OR DOT PRODUCT OF TWO VECTORS The scalar or dot product of two vectors a and b is written as a.b and pronounced as (a dot b). Therefore, a.b =|a| |b| cos dot is defined
THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK THREE TOPIC:BINOMIAL EXPANSION: PASCAL TRIANGLE, BINOMIAL THEOREM OF NEGATIVE, POSITIVE AND FRACTIONAL POWER PASCAL’S TRIANGLE Consider the expressions of each of the following: (x + y)0; (x + y )1; (x + y)2; (x + y)3; (x + y)4 (x
THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK TWO TOPIC:PROJECTILES: MOTION UNDER GRAVITY IN TWO DIMENSION,DERIVATION AND APPLICATION OF EQUATIONS INVOLVING GREATEST HEIGHT, TIME OF FLIGHT AND RANGE Motion Under Gravity in Two Dimensions: If a particle is projected with an initial velocity u at angle to the