UNIT 1: NUMBER SYSTEM (7 TH)

• Review of system of Natural numbers, Integers, Rational and
• Irrational numbers, Real numbers
• Concept of inequalities and their properties
• Absolute values and their properties (verification only)
• Complex numbers and their properties. (verification only)

UNIT 2: SETS AND RELATIONS (7 TH)

• Review of sets, Euler-Venn diagram and operation on sets. Properties of algebra of sets and their verification only (without theoretical proof)
• Number of elements in a set and the problems relating up to 3 sets
• Cartesian product of two sets, Relation and function, Domain and range (Excluding types of function, inverse and composite functions)

UNIT 3 : SEQUENCE AND SERIES (7 TH)

• Difference between sequence, series and progression
• Finite and infinite series
• Types of progression (A.P., G.P. and H.P.)
• nth term of an A.P., sum of the n terms of the series in A.P., Arithmetic means
• nth term of G.P., sum of the n terms of the series in G.P., sum of an infinite series in G.P. Geometric means, sum of the n terms of the series reducible to G.P. of the type 4 + 44 + 444 + …….. (excluding sum to n terms of the type 1 + 4 + 13 + 40 + …..)

UNIT 4: PERMUTATION AND COMBINATION (5 TH)

Basic principles of counting

TOGO > Meaning of nPr > Permutation of things when some are alike (simple cases

only) ► Meaning of nCr, problems relating to combination (simple

cases only) → (Avoid the problems relating to restricted permutation like

“two things arranged together”, not arranged together) UNIT 5 : MATRICES AND DETERMINANTS

12 TH ► Matrix and its size

Types of matrices

Algebra of matrices → Determinants and its evaluation up to third order ► Properties of determinants (without proof) → Solving simultaneous equations of two and three variables by

using Cramer’s rule, solution of verbal problems of two

variables only UNIT 6 : CO-ORDINATE GEOMETRY

9TH ► Rectangular coordinates system.

Slope of a straight line joining two points

Distance between two points ► Coordinates of a point dividing a line joining two points in a given ratio

POT ► Locus and equation ► Equation of a straight line in slope-intercept form, double

intercepts form, point slope form and two points form ► The point of intersection of two straight lines UNIT 7: LOGARITHMS

6 TH > Logarithm and its basic properties, change of base ► Common logarithm table, use of common logarithm table in

finding logarithm of a number Antilog table, finding antilog of logarithm of a number

UNIT 8 : FUNCTIONS, LIMIT AND CONTINUITY ► Constant and variable

Definition not notation of function Types of function and its graphic representation Computation of functional values Application of functions to Commerce and Economics An intuitive idea of Limit of a function

Basic rules of Limit; Limit at infinity ► Concepts of continuity and discontinuity (Note: Algebraic only UNIT 9 : DIFFERENTIATION → Definition and notation of derivatives

Geometrical meaning of derivatives ► Differentiation of a function by first principle of algebrain

functions only

Methods of differentiation ► Differentiation of implicit function and parametric function

Second order derivatives (Note: Derivative of algebraic, logarithmic & exponential functions only) UNIT 10 : APPLICATION OF DERIVATIVES100

OTH → Application of derivatives to Commerce and Economics ► Increasing and decreasing function, point of inflection

Maximum and minimum of a function and its application

(Algebraic only) UNIT 11:INTEGRATION > Integration as an inverse process of Differentiation

Methods of Integration by substitution and by parts ► Concept of Definite Integral > Methods of evaluating Definite Integrals

Application of integration to Commerce and Economics

(Note: Antiderivative of algebraic, logarithmic and Devonential functions only) 10 exponential functions only) 100

0 0000 UNIT 12 : LINEAR PROGRAMMING PROBLEM

9

► Linear inequality in two variables and its graphical solution → System of linear inequalities in two variables and its

graphical solution

Meaning of L.P.P. and its importance ► Constraints, Objective function, Optimization is

Mathematical Formulation of L.P.P.

Graphic method of solving L.P.P. 0.2 UNIT 13: MEASURES OF DISPERSION → Review of measures of Central Tendency > Range, Quartile deviation, Mean deviation and Standard

deviation and their relative measures

12 TI

UNIT 14:PROBABILITY

RTL

► Concepts of Probability > Addition and Multiplication theorems without proof (Mutually

exclusive and independent cases with simple problems only) UNIT 15: MATHEMATICS OF GAIN AND LOSSISTE

1511 ► Ratio and Proportion>Profit and Loss Partnership UNIT 16 : MATHEMATICS OF FINANCE

2211 Money and Exchange (Chain method) > Present worth and Discount

Compound interest and Compound Depreciation Annuity and its terminology: (a) Immediate Annuity and computation of Amount, Present

value only (b) Annuity due and computation of Amount, Present value

only (excluding deferred cases)