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
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)
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)
WEEK NINE SS1 FURTHER MATHS FIRST TERM MAPPING AND FUNCTIONS CONTENT Types of Function Application of Function SUB TOPIC: TYPES OF FUNCTION Inverse Function: The inverse of a function is usually written as -1 meaning it is a mapping from The inverse -1need not be a function. The only occasion where -1 is a
WEEK EIGHT SS1 FURTHER MATHS FIRST TERM MAPPING AND FUNCTIONS CONTENT Definition OF Mapping and Functions Types of Mapping and function SUB TOPIC: DEFINITION AND PROPERTIES OF MAPPING AND FUNCTION A mapping is a rule which assigns every element in a set A to a distinct element in a set B, given that A
WEEK SIX SS1 FURTHER MATHS FIRST TERM BINARY OPERATIONS CONTENT Definition of Binary Operation Properties of Binary Operations: Closure, Commutative law, Associative law, Distributive law, Laws of Complementation as in a Set: Identity Elements and Inverse of an Elements Multiplication tables of Binary Operations SUB TOPIC: DEFINITION OF BINARY OPERATIONS A binary of operation is
WEEK FIVE SS1 FURTHER MATHS FIRST TERM SETS CONTENT: Set operations: Union, Intersection, Complement and number of elements in a set. Venn diagram and Applications up to 3 Set Problem SUB TOPIC: SET OPERATONS UNION OF SETS: The union of set and is the set which consists of elements that are either in or or