SUBJECT: FURTHER MATHEMATICS CLASS: SS1 SCHEME OF WORK WEEK TOPIC 1 Indices: Basic Laws & Application of indices 2 Indicial and Exponential Equations 3 Logarithms – Laws and application 4 General review of basic concept of set theory 5 Operation of sets and Venn diagrams 6 Review
SS 2 FIRST TERM LESSON NOTE FURTHER MATHEMATICS SUBJECT: FURTHER MATHEMATICS CLASS: SS2 FIRST TERM SCHEME OF WORK WEEK TOPIC 1 Finding quadratic equation with given sum and product of roots, conditions for equal roots, real roots and no root 2 Tangents and Normals to Curves 3
SUBJECT: FURTHER MATHEMATICS CLASS: SSS3 SCHEME OF WORK WEEK TOPIC REVISION PROBABILITY DISTRIBUTION Binomial Probability Distribution Poisson Probability Distribution PROBABILITY DISTRIBUTION (CONTINUATION) Normal Distribution Properties and Area z – Scores Application. STATICS Definition of Concepts Resultant of Two Forces Components Resolution of Forces STATICS – CONTINUATION Definition of Equilibrium and Condition
Further Mathematics Third Term SSS1 Revision WEEK 2 Reference Materials: New Further Mathematics project 1, by Adigun et al. Page 178 Previous Knowledge: Students can identify calculating devices. Instructional Materials: Charts showing flowcharts. Content FLOWCHART A flowchart is a diagrammatical representation of a solution to a problem. Example: The perimeter of a rectangle
FIRST TERM Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved. SUBJECT: FURTHER MATHEMATICS CLASS: SS3 TIME APPROVED: 3HRS INSTRUCTION: Answer all questions from both parts PART A – OBJECTIVE: Find the coordinates of the foci of the ellipse 9x2+4y2= 36 (a) (0, √5) and
Part A Objectives The derivative of x^3 with respect to x is ____. a) 3x^2 b) 2x c) x^2 d) 3x The integral of 2x with respect to x is ____. a) x^2 + C b) x^3 + C c) x + C d) 2x^2 + C The point of intersection of a curve and
THIRD TERM Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved. Subject: FURTHER MATHEMATICS Class: SS 1 DURATION ; 2Hrs OBJECTIVES Answer all questions If the third term of a geometric progression (G.P) is 10 and the sixth term is 80. Find the common
WEEK NINE SS2 FURTHER MATHS SECOND TERM LOGICAL REASONING CONTENT (a) Clever System (b) Introduction to Propositional and Predicate Logical Decision (c) Introduction to Theorem Proving. SUB TOPIC: INTELLIGENT SYSTEM An clever system is any formal or casual system designed to: Handle information gathering Get hold of and course of information Interpret the information with
FURTHER MATHEMATICS, SS2, SECOND TERM , WEEK SIX SS2 FURTHER MATHS SECOND TERM DYNAMICS CONTENT (a) Newton’s Laws of Motion (b) Motion along Inclined Plane. (c) Motion of Connected Particles SUB TOPIC: NEWTON’S LAW OF MOTION PARTICLE: This is a body or thing that has a negligible dimension. It is usually denoted by a point
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 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 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 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
