Rashtrasant Tukadoji Maharaj Nagpur University, Maharashtra, Computer Engineering Semester 2, Applied Mathematics – II Syllabus

Applied Mathematics – II Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
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Unit - 1 Integral Calculus-I

Unit 1

Integral calculusI

1.1 Beta and Gamma functions

1.2 Differentiation of definite integral

1.3 Mean Value and Root Mean Square Values

Unit - 2 Integral Calculus-II 

Unit 2

Integral calculusII

2.1 Tracing of curves Cartesian and polar curves

2.2 Rectification of simple curves

2.3 Quadrature

2.4 Volume and surface of solids of revolution Cartesian polar and parametric forms

Unit - 3 Multiple Integrals And Their Applications

Unit 3

Multiple integrals and their applications

3.1 Elementary double integrals

3.2 Change of variable simple transformations

3.3 Change of order of integration Cartesian and polar

3.4 Applications to find Mass Area Volume and Centre of Gravity Cartesian and polar forms

3.5 Elementary triple integrals

Unit - 4 Vector Differential Calculus 

Unit 4

Vector differential calculus

4.1 Vector triple product Product of four vectors

4.2 Scalar point function Vector point Function

4.3 Vector differentiation Gradient Divergence and Curl

4.4 Directional derivatives with their physical interpretation

4.5 Solenoidal and irrotational motions

Unit - 5 Vector Integral Calculus

Unit 5

Vector integral calculus

5.1 Vector integration Line Surface and Volume integrals

5.2 Statement without proof of Stoke’s theorem

5.3 Gauss divergence theorem and Green’s theorem and simple applications of these theorems

Unit - 6 Statistics

Unit 6

Statistics and finite differences

6.1 A Statistics

6.2 Lines of regression and Correlation

6.3 Rank correlation

6.4 B Finite Differences

6.5 Langrange’s interpolation formula for unequal intervals

6.6 Difference equations with constant coefficients

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Other Subjects of Semester-2
Advanced physics
Materials chemistry
Engineering mechanics
Advanced electrical engineering
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