ADVANCED MATHEMATICS(GROUP-2) (3320003)  

Syllabus

Sr. Topics Teaching Hours Module Weightage
1
Co-ordinate Geometry
1.1 Point : Distance Formula, Mid-point, Locus of a point
1.2 Straight Line : Forms of Equation of St Lines : Slope Point Form, Two Point Form, Intercept Form, Parallel and Perpendicular lines
1.3 Circle : Equation of Circle, Centre and radius form, Tangent and Normal and related problems.
2
Function & Limit
2.1 Function Concept and Examples
2.2 Limit Concept of Limit, Standard Formulae and related Examples.
3
Differentiation & it’s Applications
3.1Differentiation: Definition, Rules of, Sum, Product, Quotient of Functions, Chain Rule, Derivative of Implicit functions and Parametric functions, Logarithmic Differentiation. Successive Differentiation up to second order
3.2 Application: Velocity, Acceleration, Maxima & Minima.
4
Integration & its application
4.1 Integration: Concept, Integral of Standard Functions, Working Rules of Integration, Integration by Parts, Integration by Substitution Method, Definite Integral and its properties.
4.2 Application: Area and Volume.
5
Statistics
5.1 Measures of Central Tendency for Ungrouped and Grouped Data : Mean, Median and Mode
5.2 Measure of Dispersion for Grouped and Ungrouped data : Standard deviation