FIRST TERM Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved. SUBJECT: FURTHER MATHEMATICS Class: SS 2 DURATION ; 2Hrs If X2 – KX + 9 = 0 has equal roots, find the values of K. (a) 3,4 (b) +3 (c) +5 (d) +6 6x
FIRST TERM E-LEARNING NOTES SUBJECT: FURTHER MATHEMATICS CLASS: SSS 3 SCHEME OF WORK WEEK TOPIC Matrices and Determinants (2×2, 3×3): (a) Basic definitions (b) Addition, subtraction and multiplication on Matrices (c) Transposition and special matrix (d) Determinants of order 2 and 3 (e) Inverse of a square matrix (f) Simultaneous equations using matrices. Linear transformations:
WEEK 6 TOPIC: CORRELATION AND REGRESSION CONTENT: Concept of corellation as emasure of realtionship Scatter diagrams Rank correlation Tied ransk Subtopic 1: Concept of correlation as measure of relationships We have consideered in our last discussions on finding measures of location and the spread. We call such data univariate data. In this discussion, we
FIRST TERM WEEK 5 SUBJECT: FURTHER MATHEMATICS CLASS: SS 3 TOPIC: Conic Sections CONTENT: Equations of parabola, Eclipse, Hyperbola in rectangular Cartesian coordinates Parametric equations Sub-Topic (i): Equations of parabola, ellipse, hyperbola in rectangular coordinates The path (or locus) of a point which moves so that its distance from a fixed point is in
WEEK 3 1ST TERM SUBJECT: Further Mathematics CLASS: SS 3 TOPIC: PARTIAL FRACTIONS CONTENT: Basic definitions Proper rational functions with linear factors (distinct and repeated) Subtopic 1: Basic Definitions You know what a fraction is. ¼ is a fraction. When we have 3/5 + 2/x, , we say that 3/5 and 2/x are the
FIRST TERM SUBJECT: FURTHER MATHEMATICS CLASS: SSS 3 WEEK 1 SUBJECT: Further Mathematics[mediator_tech] CLASS: SS 3 TOPIC: Matrices and Determinants (2×2, 3×3) CONTENT: Matrices as linear transformations Determinants Solutions of 2 and 3 simultaneous equations Subtopic 1: MATRICES Basic definitions A matrix is a rectangular away of numbers arranged in rows and column. A
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK SEVEN MID TERM BREAK. WEEK EIGHT TOPIC: ROOTS OF QUADRATIC EQUATION 1 SUB-TOPICS: Quadratic equation (finishing the sq. and method methodology). Sum and product of roots of quadratic equation. Discovering quadratic equation given sum and product of roots, x2 – (sum of roots) + (product) =
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK SIX TOPIC: BINOMIAL EXPANSION 2 SUB-TOPICS: Discovering nth time period. Utility of binomial enlargement SUB-TOPIC 1 Discovering the nth time period The binomial enlargement of is given as: = This enlargement is true for any pure quantity worth of n, giant or small, however when n is a
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK FIVE TOPIC: BINOMIAL EXPANSION 1 SUB-TOPICS: Pascal triangle. Binomial growth of (a+b)n , the place n might be constructive integer, destructive integer or fractional worth. SUB-TOPIC ONE The Pascal’s triangle is a format for getting the coefficients of expansions. It applies to binomial and binomial fashioned from
SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1 WEEK FOUR TOPIC: COMBINATION SUB-TOPICS: Combination (selection). Conditional arrangements and selection. Probability problems involving arrangement and selection. SUB-TOPIC 1 Combination (Selection) In many situations, we make selection without regard to the order. If a committee of 4 members is to be formed from 7 members of staff of
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
