SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK THREE TOPIC: PERMUTATIONS SUB-TOPICS: Permutation (association). Cyclic permutation. Association of equivalent objects. Association through which repetitions are allowed. SUB-TOPIC 1 Permutation (Association) Suppose we have an interest within the totally different association of two folks in a line. If these two individuals are labelled a and
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK TWO TOPIC: POLYNOMIALS 2 SUB-TOPICS: Roots of cubic equation: Sum of roots; Sum of merchandise of two Roots; Merchandise of roots. Graphs of polynomial operate. SUB-TOPIC 1 The overall cubic equation takes the shape: 3 (as a result of if it turns into a quadratic
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK ONE TOPIC: POLYNOMIALS 1 SUB-TOPICS (a) Definition of polynomials. (b) Basic operations on polynomials. (c) Remainder and factor theorem. (d) Zeros of polynomials. SUB-TOPIC 1 Definition of Polynomials A polynomial is a mathematical expression which is a sum of terms, each term consisting a variable or variables
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 SCHEME OF WORK WEEK TOPICS Polynomials 1: (a) Definition of polynomials (b) Basic operations on polynomials. (c) Remainder and factor theorem. (d) Zeros of polynomials. Polynomials 2: (a) Roots of cubic equation: Sum of roots; Sum of products of two Roots; Products of roots. (b) Graphs of polynomial
THIRD TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS CLASS: SS 2 SCHEME OF WORK WEEK TEN TOPIC: REGRESSION LINE AND CORRELATION COEFFICIENT SCATTER DIAGRAM Definition: a scatter diagram is a graphic display of bivariate data. A bivariate data involves two variables TYPES OF SCATTER DIAGRAM: Linear positive correlation. A positive correlation between two variables
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