# ASSO CET 2012 Mathematics Syllabus

ASSO CET 2012 Mathematics consists of 100 marks and the syllabus is that of Class 12.

### ASSO CET Syllabus For Mathematics

**Std. XII (Paper I)**

1. Mathematical Logic

1.1 Statements and logical connectivites.

1.2 Statement pattern and logical equivalence.

1.3 Application of Logic.

2. Matrices

2.1 Inverse of Matrix.

2.2 Solution of Equations

3. Pair of Straight lines

3.1 Pair of lines passing through origin.

3.2 Pair of lines not passing through origin.

4. Circle

4.1 Different forms of Equations of Circles

4.2 Solution of Equations

5. Conics

5.1 Equations of conics.

5.2 Tangents and Normals

6. Vectors

6.1 Collinearity and Coplanarity of Vectors.

6.2 Section Formula.

6.3 Scalar triple product.

6.4 Application of Vectors to Geometry.

7. Three Dimensional Geometry.

7.1 Direction Cosines and Ratios.

7.2 Lines (Vector and cartesian form).

7.3 Plane (Vector and cartesian form).

8. Linear Programming.

8.1 Introduction of concepts.

8.2 Formation of linear programming problem.

8.3 Graphical solution of linear programming problem.

8.4 Simplex Method (Number of variables not more than 2)

9. Probability

9.1 Types of events.

9.2 Addition Theorem.

9.3 Conditional Probability.

9.4 Probability Distribution of Random Variable.

**Std. XII (Paper II)**

1. Limit and Continuity

1.1 Lim _{x -->0} Sin x = 1 (With Proof); Lim_{x-->0} Sin x / x = 1; Lim_{x-->0} Tan x/x =1; Lim_{x--0} a^{x}-1 /x =log a (for a>0, a! = without proof)

Lim_{x-->0}(1+x)^{1/x} = e (without proof); Lim_{x--0}log 1+x/x =1 (with proof)

1.2 Limit at infinity and infinite limits.

1.3 Continuity of a function at a point.

1.4 Algebra of continuous functions.

1.5 Continuity on interval.

1.6 Continuity of Polynomial, rational, Trignometric, Exponential and Logramithic functions.

2. Differentiation

2.1 Derivative from first principles.

2.2 Relationship between continuity and Differentiability.

2.3 Derivative of composite functions (Chain Rule).

2.4 Derivative of inverse function.

2.5 Logarithmic Differentiation.

2.6 Derivative of Implicit functions.

2.7 Derivative of parametric functions.

2.8 Second order Derivatives.

3. Application of Derivatives

3.1 Geometrical Applications.

3.2 Derivative as rate of change of measure.

3.3 Approximations.

3.3 Minima and Maxima (second order derivative test)

4. Integrations

4.1 Indefinite Integrals

Methods of integration.

a) Substitution Method.

b) Integration by Parts.

c) Integration by partial fractions.

4.2 Definite Integrals

a) Fundamental Theorem of Integral Calculas.

b) Properties of definite integrals.

5. Applications of Definite Integrals

5.1 Area under a curve.

5.2 Volume of a solid of revolution.

6. Differential Equations

6.1 Definitions of - Differential equations, degree, General solution and particular solution.

6.2 Formation of Differential equation.

6.3 Solution of First order and First degree differential equations.

a) Variables separable method.

a) Homogeneous differential equations.

6.4 Application of Differential equations.

7. Numerical Methods

7.1 Finite Differences.

7.2 Interpolation

a) Newton's Forward and Backward difference interpolation formulae.(without proof)

7.3 Numerical Integration.

a) Trapezoidal Rule.

b) Simpson's (1/3)rd and (3/8)th Rule.

8. Boolean Algebra.

8.1 Boolean Algebra as an algebraic structure.

8.2 Principle of duality.

8.3 Boolean function and switching circuits.

8.4 Application of Boolean Algebra to switching circuits.

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