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
FURTHER MATHS 1. What is the variance of a binomial distribution? a. (a) np (b) √npq ( c ) npq (d) p2 3. The mean (µ) of a poisson distribution is the same as (a) Standard deviation (b) variance (c) mean (d) mean deviation 4. If number of trials is 100 and probability of success
OBJECTIVE F/MATHS S.S.1 Given that x= – 3 and y= – 7 Evaluate (x2-y)/(y2-x) (a)-1/11 (b) 1/23 (c) 4/13 (d) 12/17. The solution of the equation x2-2x-8 is X=0 or 12 (b) x=-2 or 4 (c) x=2 (d) x=2 or 4 Express the conjugate of 2 + √3 2 (b) √3 (c) √3 +2 (d)
SSS 1 Further Mathematics Third Term Revision Third Term Here are links to various practice question on the following topics in Further Maths TRIGONOMETRIC RATIOS OF GENERAL ANGLES STANDARD DEVIATION MEASURE OF DISPERSION INEQUALITIES
Revision Questions on LOGICAL REASONING Revision Questions on DATA PROCESSING Revision Questions on MEASURE OF LOCATION Revision Questions on MEASURES OF DISPERSION
WEEK 9 SUBJECT: FURTHER MATHEMATICS CLASS: SSS1 TOPIC: OPERATIONS RESEARCH CONTENT: Definition, History and nature of operations research Steps in operations research Models of operations research: i. Linear programming models ii. Transportation models (least cost and North Westcorner) iii. Assignment models Practical application of the models. Definition, History and nature of operations research Operations research
WEEK 8 SUBJECT: FURTHER MATHEMATICS CLASS: SS 1 TOPIC: INEQUALITIES CONTENT: Notation and basic rules of inequalities Linear inequalities in one variable Absolute values Inequalities in two variables Graphs of linear inequalities in two variables. Notation and basic rules of inequalities Symbols commonly used for inequalities include; We use the word ‘inequal’ or ‘unequal’ when
WEEK 6 SUBJECT: FURTHER MATHEMATICS CLASS: SS1 TOPIC: TRIGONOMETRIC RATIOS AND IDENTITIES: CONTENT: GRAPHS OF TRIGONOMETRIC RATIOS TRIGONOMETRIC EQUATION GRAPHS OF TRIGONOMETRIC RATIOS Above are the graphs of the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. In the unit circle, the value of the hypotenuse is r = 1 so that sin
WEEK 5 SUBJECT: FURTHER MATHEMATICS CLASS: SS1 TOPIC: TRIGONOMETRIC RATIOS OF GENERAL ANGLES CONTENT: QUADRANTS AND ANGLES BASIC TRIGONOMETRIC RATIOS RATIOS OF GENERAL ANGLES RATIOS FOR SPECIAL ANGLES 450,600. QUADRANTS AND ANGLES The direction to which angles are measured can either be clockwise or anticlockwise. The plane is divided into four partitions by the axes.