202-ENGINEERING MATHEMATICS – II |
Units: I- Coordinate Geometry of Three Dimensions |
• Equation of a sphere
• Intersection of a sphere and a plane, tangent plane, normal lines
• Right circular cone
• Right circular cylinder
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Units: II - Matrices |
• Rank of a matrix, inverse of a matrix by elementary transformations
• Solution of simultaneous linear equations
• Eigen values and Eigen vectors, Cayley – Hamilton theorem (without proof)
• Diagonalization of matrix |
Units: III - Vector Calculus |
Scalar and vector field, differentiation & integration of vector functions
Gradient, Divergence, Curl and Differential Operator
Line, Surface and volume Integrals
Green’s Theorem in a Plane, Gauss’ and Stoke’s Theorem (without proof) and their
Applications
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Units: IV - Dynamics |
• Angular Motion, Radial and Transverse Velocities and Accelerations
• Tangential and Normal Accelerations
• Rectilinear Motion in Resisting Medium
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Units: V - Differential Equations |
Series Solutions of Second Order Linear Differential Equations with Variable Coefficients
(Complementary Functions only)
Partial Differential Equations of First Order
Lagrange’s Form, Standard Forms
Charpit’s Method
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