12th Grade Math ( CLASS-12 ) -

I) RELATIONS & FUNCTIONS

1) Types Of Relations,

(a) Reflexive Relations,

(b) Symmetric Relations,

(c) Transitive Relations,

(d) Equivalence Relations,

2) One to One And Onto Functions,

3) Composite Functions,

4) Inverse Of A Function,

5) Binary Operations,

II) Inverse Trigonometric Functions,

1) Definition

2) Range,

3) Domain,

4) Principal Value Branches,

5) Graphs Of Inverse Trigonometric Functions,

6) Elementary Properties Of Inverse,

7) Elementary Properties Of Inverse Trigonometric Functions,

III) ALGEBRA,

1) Matrices - Introduction/Concept,

(a) Notation,

(b) Order,

(c) Equality,

(d) Types Of Matrices,

(e) Zero Matrix,

(f) Transpose Of A Matrix,

(g) Symmetric & Skew Symmetric Matrices,

(i) Multiplication Of Matrices,

(j) Scalar Multiplication Of Matrices,

(l) Multiplication,

(m) Scalar Multiplication,

(n) Non-commutativity Of Multiplication Of Matrices,

(o) Existence Of Non-zero Matrices Whose Product Is The Zero Matrix (Restrict to Square Matrices of Order 2),

(p) Concept Of Elementary Row,

(q) Column Operations,

(r) Invertible Matrices,

(s) Proof Of The Uniqueness Of Inverse, If It Exists (Real Matrices),

2) Determinants