3. Trigonometry

(i) Angles and Arc lengths

(ii) Trigonometric Functions

(iii) Compound and multiple angles

(iv) Trigonometric Equations

1. Mathematical Reasoning

1.1.Statements – Words / Phrases – If and Only If Condition – Implies – and / or – Difference between Contradiction – Converse and Contra Positive

2. Algebra

i. Complex Numbers

ii. Quadratic Equations

(iii) Finite and Infinite Sequences (a) Arithmetic Progression (A.P.)

(b) Geometric Progression (G.P.)

(c) Harmonic Progression

(d) Arithmetic Geometric Series

(e) Special sums (iv) Permutations Combinations

(v) Mathematical induction

(vi) Binomial Theorem (a) Significance of Pascal’s triangle.

(b) Binomial theorem (proof using induction) for positive integral powers

(c) Binomial theorem for negative or fractional indices.

(vii) Properties of Binomial Coefficients

4. Calculus

(i) Basic Concepts of Relations and Functions

(a) Ordered pairs, sets of ordered pairs

(b) Cartesian Product (Cross) of two sets, cardinal number of a cross product.

(b) Cartesian Product (Cross) of two sets, cardinal number of a cross product.

(c) Types of Relations: reflexive, symmetric, transitive and equivalence relation

(d) Binary Operation.

(e) Domain, Range and Co-domain of a Relation

(f) Functions

(ii) Differential calculus (a) Limits

(b) Continuity

(c) Differentiation

(d) Application of derivatives

(iii) Integral Calculus

5. Coordinate Geometry

(i) Basic concepts of Points and their coordinates

(ii) The straight line

(iii) Circles

6. Statistics

6.1.Measures of central tendency

6.2.Standard deviation - by direct method, short cut method and step deviation method

6.3.Combined mean and standard deviation

7. Vectors

7.1. Vectors

8. Co-ordinate Geometry in 3-Dimensions

8.1. Co-ordinate Geometry in 3-Dimensions

9. Statistics

9.1.Median - direct and by using the formula

9.2.Quartiles - direct and by using the formula

9.3.Deciles - direct and by using the formula

9.4.Percentiles - direct and by using the formula

9.5.Mode - graphically, direct method and by using the formula

9.6.Estimation of median/quartiles from Ogives

9.7.The Median, Quartiles, Deciles and Percentiles of grouped and ungrouped data;

9.7.The Median, Quartiles, Deciles and Percentiles of grouped and ungrouped data;

9.8.Mode - grouped and ungrouped data; estimation of mode by using graphical method. (Bimodal data not included)

9.8.Mode - grouped and ungrouped data; estimation of mode by using graphical method. (Bimodal data not included)

10. Average Due Date

10.1. Zero date

10.2.Equated periods