Further Mathematics

WEEK FOUR SS2 FURTHER MATHS SECOND TERM VECTORS IN THREE DIMENSIONS

WEEK FOUR SS2 FURTHER MATHS SECOND TERM VECTORS IN THREE DIMENSIONS CONTENTS (a) Scalars Product of Vectors in Three Dimensions (b) Application of Scalar Product SUB TOPIC: SCALAR PRODUCT OF VECTORS IN THREE DIMENSIONS The scalar product of three vectors a,b and c is defined as a.(bxc) which is a scalar quantity. If three vectors

WEEK THREE SS2 FURTHER MATHS SECOND TERM DIFFERENTIATION 3

WEEK THREE SS2 FURTHER MATHS SECOND TERM DIFFERENTIATION 3 CONTENT (a) Application of Differentiation (b) Differentiation of Implicit Functions. SUB TOPIC: APPLICATION OF DIFFERENTIATION Examples: Suppose an object is dropped from rest from a given height, the distance s through which the object has dropped after t seconds (ignoring air resistance) is given by the

WEEK TWO SS2 FURTHER MATHS SECOND TERM DIFFERENTIATION 2

WEEK TWO SS2 FURTHER MATHS SECOND TERM DIFFERENTIATION 2 CONTENT (a) Differentiation of Transcendental Functions such as Sin x,eax log 3x. (b) Rules of Differentiation: Product rule, Quotient rule, Function of function. (c) Higher Derivative SUB TOPIC: DIFFERENTIATION OF TRANSCENDENTAL FUNCTIONS The following are called transcendental functions and their derivatives are called identities: Derivative of

WEEK ONE DIFFERENTIATION 1

WEEK ONE DIFFERENTIATION 1 CONTENTS (a) Limits of a Function (b) Differentiation from First Principle (c) Differentiation of Polynomials SUB TOPIC: LIMITS OF A FUNCTION A function is a value that describes how a value of the variable is maniplutated to generate a value of an equation Other symbols that can be used for functions

SCHEME OF WORK FURTHER MATHEMATICS SSS 1 THIRD TERM

  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

The straight line (cont’d)

    WEEK 9 SUBJECT: FURTHER MATHEMATICS CLASS: SSS 1   FURTHER MATHEMATICS SS 1 SECOND TERM TOPIC: The straight line (cont’d) CONTENT: (i) Equation of line (ii)Areas of triangles and quadrilateral (iii)Transform relationship into linear form (iv) Locus of points. (v) Determination of law. SUB-TOPIC: EQUATION OF LINE Two point form: The equation of

THE STRAIGHT LINE AND MID-POINT OF A LINE SEGMENT

          FURTHER MATHEMATICS SS 1 SECOND TERM     WEEK 8 CLASS: SSS 1 2ND TERM SUBJECT: Additional Maths TOPIC: THE STRAIGHT LINE CONTENT: (I) mid- level of a section (ii) Gradient of a straight line (iii) Distances between two factors (iv) Situations for parallelism and perpendicularity (v) angles between two

FURTHER MATHEMATICS SS 1 SECOND TERM E NOTES SCHEME OF WORK

SECOND TERM WEEK WEEKLY LESSON PLANS WITH LESSON NOTES AND SCHEME OF WORK  SUBJECT: FURTHER MATHEMATICS CLASS: SS1   WEEK 1 Sequences and Types Arithmetic progression     WEEK 2 Arithmetic Series   WEEK 3 Calculating devices (Abacus, Slide Rule, pocket Calculator and the Computer)     WEEK 4 Scalars and Vectors/Types of vectors  

Displacement/Relative displacement

  FURTHER MATHEMATICS SS 1 SECOND TERM       WEEK 6 DATE(S)………………………………………. SUBJECT: FURTHER MATHEMATICS CLASS: SS1 TOPIC: RELATIVE VELOCITY CONTENT: Displacement/Relative displacement Acceleration Relative velocity Motion of word problem SUB – TOPIC: Relative velocity Every object or occurrence (be it real or abstract) is relative to some other object, occurrence. If a ship

VECTOR MULTIPLICATION BY A SCALAR/UNIT VECTOR

  FURTHER MATHEMATICS SS 1 SECOND TERM       WEEK 5 DATE(S)………………………………………. SUBJECT: FURTHER MATHEMATICS CLASS: SS1 TOPIC: VECTOR 2 CONTENT: Scalar multiplication of vectors Unit vector Direction cosines Scalar (dot) product: Application of scalar (dot) product. Projections of vectors Application of scalar product Sub-Topic: VECTOR MULTIPLICATION BY A SCALAR/UNIT VECTOR Let say and