Page: Syllabus of Engineering Mathematics 2

As per Choice Based Grading System

As per Choice Based Grading System

Unit 1 : Differential Equations (DE)

Definition, Order and Degree of DE , Formation of DE , Solutions of Variable Separable DE, Exact DE, Linear DE and reducible to these types.

Unit 2 : Application of DE

Applications of DE to Orthogonal Trajectories, Newton's Law of Cooling, Kirchoff's Law of Electrical Circuits, Motion under Gravity, Rectilinear Motion , Simple Harmonic Motion, One-dimensional Conduction of Heat, Chemical Problems.

Unit 3 : Fourier Series

Definition, Dirichlet's conditions, Full range Fourier Series, Half Range Fourier Series, Harmonic Analysis and Applications to Problems in Engineering.

Integral Calculus : Reduction formulae , Beta and Gamma functions.

Unit 4 : Integral Calculus and Curve Tracing

Integral Calculus : Differentiation Under the Integral Sign , Error functions.

Curve Tracing : Tracing of Curves, Cartesian, Polar and Parametric Curves, Rectification of Curves

Unit 5 : Solid Geometry

Cartesian, Spherical Polar and Cylindrical Coordinate Systems, Sphere , Cone and Cylinder.

Unit 6 : Multiple Integrals and their Applications

Double and Triple Integrations, Applications to Area , Volume, Mean and Root Mean Square Values, Mass, Centre of Gravity and Moment of Inertia.

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