ADVANCED MATHEMATICS (GROUP-1) (3320002)  

Syllabus

Sr. Topics Teaching Hours Module Weightage
1
Complex Number
Concept, Modules and Amplitude form, Root of Complex Number, De Moivre’s Theorem.
Apply concept of complex numbers in simple engineering 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.(simple problems)
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.(simple problems)
5
Differential Equations(First Order First Degree)
5.1 Definition, Order and Degree of Differential Equation
5.2 Formation of DE
5.3 Solution of DE of First Degree and First Order by Variable Separable, Homogeneous and Integrating Factor methods.