1. MATHEMATICS (ELECTIVE)

2. SCOPE OF CONTENTS ALGEBRA COORDINATE GEOMETRY VECTORS AND MECHANICS
LOGIC
TRIGONOMETRY
CALCULUS
MATRICES AND TRANSFORMATION
STATISTICS AND PROBABILITY

3. SHS 1 GES KHAN ACADEMY Sets Surds Binary operation
Relations and Functions
Polynomial Function
Rational Functions
Binomial Theorem
Inequalities and linear programming
Coordinate geometry I
Probability I
Vectors I -
Irrational and radicals
Relation and functions
Polynomial functions
Rational relationship
Binomial theorem
Inequalities and linear programming
Coordinate geometry
Probability
Vectors

4. SHS 1 SURDS TOPIC GES KHAN ACADEMY OPERATIONS ON SURDS
OPERATIONS OF IRRATIONAL NUMBERS
RATIONALIZATION OF SURDS WITH BINOMIAL DENOMINATORS
EQUATION OF RADICALS

5. RELATIONS AND FUNCTIONS
TOPIC
GES
KHAN ACADEMY
BINARY OPERATION
PROPERTIES OF BINARY OPERATION
PROPERTIES:-
CLOSURE
IDENTITY AND INVERSE ELEMENTS
RELATIONS AND FUNCTIONS
GRAPHICAL REPRESENTATION OF A FUNCTION
FUNCTIONS
DOMAIN AND RANGE OF A FUNCTION

6. POLYNOMIAL FUNCTIONS TOPIC GES KHAN ACADEMY INVERSE OF A FUNCTION
COMPOSITE FUNCTIONS
POLYNOMIAL FUNCTIONS
LINEAR AND QUADRATIC FUNCTIONS
SKETCHING CURVES OF QUADRATIC FUNCTIONS
SOLVING QUADRATIC EQUATIONS
COMPLETING THE SQUARE
QUADRATIC FORMULA

7. TOPIC
GES
KHAN ACADEMY
ROOTS OF QUADRATIC EQUATIONS
DEFINITION OF POLYNOMIAL FUNCTIONS
INTRO. TO POLYNOMIALS
ALGEBRA OF POLYNOMIALS:-
ADDITION , SUBTRACTION AND MULTIPLICATION
DIVISION
SYNTHETIC DIVISION
ADDITION , SUBTRACTION
MULTIPLYING BINOMIALS
LONG DIVISION
REMAINDER AND FACTOR THEOREM
BINOMIAL THEOREM
BINOMIAL THEOREM AND PRACTICALS

8. COORDINATE GEOMETRY PROBABILITY TOPIC GES KHAN ACADEMY
COORDINATE GEOMETRY WITH PRACTICALS
PROBABILITY
INTRODUCTION TO PROBABILITY
CONDITIONAL PROBABILITY
PERMUTATION
COMBINATION
BASIC THEORETICALS
EXPERIMENTAL PROBABILITY
RANDOM VARIABLES
POISON DISTRIBUTIONS
NORMAL DISTRIBUTIONS

9. TOPIC
GES
KHAN ACADEMY
VECTORS
REPRESENTATION OF VECTORS
RESULTANT OF VECTORS
LAWS OF ADDITION OF VECTORS
SCALE DRAWING AND RESOLUTION OF VECTORS
POSITION VECTORS
UNIT VECTORS

10. SHS 2 GES KHAN ACADEMY COORDINATE GEOMETRY I SEQUENCE AND SERIES
INDICES AND LOGARITHMS
TRIGONOMETRIC RATIOS AND RULES
COMPOUND AND MULTIPLE ANGLES
TRIGONOMETRY FUNCTIONS AND EQUATIONS
DIFFERENTIATION
APPLICATION OF DIFFERENTIATION
INTEGRATION
APPLICATION OF INTEGRATION
PERMUTATION AND COMBINATION
PROBABILITY II
STATISTICS I
APPLICATION OF VECTORS IN GEOMETRY
STATICS

11. COORDINATE GEOMETRY II
TOPIC
GES
KHAN ACADEMY
COORDINATE GEOMETRY II
EQUATION OF A CIRCLE
FINDING THE CENTRE AND RADIUS GIVEN THE EQUATION OF THE CIRCLE
EQUATION OF TANGENT AND NORMAL TO A CIRCLE
LOCI
COORDINATE GEOMETRY WITH PRACTICALS
EQUATION OF PARABOLA
SKETCHING OF PARABOLA
TANGENT AND NORMAL

12. TOPIC
GES
KHAN ACADEMY
SEQUENCE AND SERIES
APPLICATION OF LINEAR SEQUENCE
EXPONENTIAL SEQUENCE
RECURRENCE SEQUENCE
ARITHMETIC SEQUENCE
GEOMETRIC SEQUENCE
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INDICES AND LOGARITHMS
LAWS OF INDICES AND LOGARITHMS
EQUATIONS INVOLVING INDICES
EQUATIONS INVOLVING LOGARITHM AND CHANGE OF BASE
GRAPH OF EXPONENTIAL RELATIONS AND THEIR APPLICATIONS
INTRODUCTION TO LOGARITHMS
SOLVING PROBLEMS USING INDICES
SOLVING PROBLEMS USING LOGARITHMS
GRAPH OF LOGARITHMIC FUNCTIONS

13. TOPIC
GES
KHAN ACADEMY
INDICES AND LOGARITHMS
LOGARITHM SCALE
NATURAL LOGARITHMS
TRIGONOMETRY
BASIC TRIGONOMETRIC RATIOS AND THEIR RECIPROCALS
ANGLES IN RADIANS
SINE AND COSINE RULES
APPLICATIONS OF SINE AND COSINE RULES TO BEARINGS
COMPOUND ANGLES
INTRODUCTION TO TRIGONOMETRIC RATIOS AND THEIR RECIPROCALS

14. TOPIC
GES
KHAN ACADEMY
MULTIPLE ANGLES (UP TO 3A)
GRAPH OF TRIGONOMETRIC FUNCTIONS
SOLVING TRIGONOMETRIC EQUATIONS (UP TO QUADRATICS)
MAXIMUM AND MINIMUM POINTS OF TRIGONOMETRIC FUNCTIONS
GRAPH OF
TRIGONOMETRIC FUNCTIONS.
SOLVING TRIGONOMETRIC EQUATIONS
MODELING WITH RIGHT-ANGLED TRIANGLE

15. TOPIC
GES
KHAN ACADEMY
CALCULUS
DIFFERENTIATION
LIMIT OF FUNCTIONS
INTRO. LIMITS
SQUEEZE THEOREM
CONTINUITY AT A POINT
TYPES OF DISCONTINUITY
INTERMEDIATE VALUE THEOREM
LIMIT OF SIMPLE TRIG. FUNCTIONS
DIFFERENTIATION FROM FIRST PRINCIPLES
RULES OF DIFFERENTIATION
POWER RULES
CHAIN RULES
IMPLICIT DIFFERENTIATION
DEFINITION AND BASIC RULES
CHAIN RULE
IMPLICIT DIFFERENTIATION

16. TOPIC
GES
KHAN ACADEMY
CALCULUS
DIFFERENTIATION
DIFFERENTIATION OF INVERSE FUNCTIONS
DIFFERENTIATION OF INVERSE TRIG. FUNCTIONS
DISGUISED DERIVATIVE
LOGARITHMETIC DIFFERENTIATION
APPLICATION OF DIFFERENTIATION
APPLICATIONS OF DIFFERENTIATION
APPROXIMATION WITH LOCAL LINEARITY
L’HOPITAL RULE
COMPOSITE EXPONENTIAL FUNCTIONS

17. TOPIC
GES
KHAN ACADEMY
CALCULUS
DIFFERENTIATION
CURVE SKETCHING
LINEAR KINEMATICS
PLANAR MOTIONS
MEAN VALUE THEOREM
EXTREME VALUE THEOREM
PARAMETRIC EQUATION
VECTOR – VALUED FUNCTIONS
POLAR FUNCTIONS

18. INTEGRATION TOPIC GES KHAN ACADEMY CALCULUS
INTEGRATION BY SUBSTITUTIONS
INTEGRATION OF SIMPLE TRIGONOMETRY
FUNDAMENTAL THEOREM OF CALCULUS
APPLICATION OF INTEGRATIONS
TRAPEZIUM RULE
RIEMANN SUMS
POWER SERIES

19. TOPIC
GES
KHAN ACADEMY
STATISTICS
HISTOGRAM, OGIVE
HISTOGRAM , OGIVE
MEASURES OF CENTRAL TENDENCY
MEASURES OF DISPERSION
MEASURES OF DISPERSTION
BOX PLOT
NORMAL DISTRIBUTION
MARGINAL AND CONDITIONAL DISTRIBUTION
STATICS
(in PHYSICS)

20. SHS 3 GES KHAN ACADEMY MATRICES LINEAR TRANSFORMATION LOGIC
CORRELATION AND REGRESSION
SPEARMAN’S RANK CORRELATION
DYNAMICS
( in PHYSICS)

21. THANK YOU