WEEK FIVE FURTHER MATHEMATICS, SS2, SECOND TERM , SS2 FURTHER MATHS SECOND TERM VECTORS IN THREE DIMENSIONS CONTENTS (a) Vectors or cross product in three dimensions and Properties of vector product. (b) Utility of cross product. SUB TOPIC: VECTOR OR CROSS PRODUCT AND PROPERTIES If a, b and c are three vectors, then ax(bxc) and
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 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 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 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
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
WEEK NINE TOPIC: ROOTS OF QUADRATIC EQUATIONS 2 SUB-TOPICS: Quadratic capabilities (Simultaneous Equations: One linear, One quadratic) Resolution of issues on roots of quadratic equation. Most and minimal values. SUB-TOPIC 1 Quadratic capabilities (Simultaneous Equations: One linear, one quadratic) Now we have mentioned alternative ways however we have to point out that graphical resolution is
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
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