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Engineering Mathematics-II

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## Description

This course is about the basic mathematics that is fundamental and essential component in all streams of undergraduate studies in sciences and engineering. The course consists of topics in Ordinary Differential Equations and Applications, Curve Tracing and Rectification, Solid Geometry, Multiple Integral and techniques with applications to various engineering problems.

##### Who can enroll
• All students of F.Y.B.Tech. can enroll to the course

## Lessons

• lessons 30
• 0:4
• 1. Formation of differential equation , solutions, variables’ separable, homogenous D.E, exact D.E, linear D.E and reducible to these types.
• 1. Orthogonal Trajectories, Newton's Law of Cooling, Kirchhoff’s Law of Electrical Circuits, Rectilinear Motion
• 1. Tracing of Curves, Cartesian, Polar, Parametric Curves and Rectifications of curves. Cartesian, Spherical, Polar and Cylindrical coordinate systems. Sphere, Cone and Cylinder.
• 1. Cartesian, Spherical, Polar & Cylindrical coordinate systems. Sphere, Right circular cone, Right circular Cylinder.
• 2. Right Circular Cone
• 3. Right Circular Cylinder
• 4. Right Circular Cylinder example
• 1. Evaluation of Double integral, Change of order of Double integral, evaluation by transforming to polar coordinates, Evaluation of Triple integral.
• 2. Double Integral 1
• 3. Double Integral 2
• 4. Double Integral 3
• 5. Double Integral 4
• 6. Double Integral 5
• 7. Double Integration when limits are not given 1
• 8. Double Integration when limits are not given 2
• 9. Double Integration when limits are not given 3
• 10. Double Integration when limits are not given 4
• 11. Double Integration when limits are not given 5
• 12. Double Integration by change of order 1
• 13. Double Integration by change of order 2
• 14. Double Integral by Polar Transformation 1
• 15. Double Integral by Polar Transformation 2
• 16. Double Integral by Polar Transformation 3
• 17. Tripple Integration 1
• 18. Tripple Integration 2
• 19. Tripple Integration 3
• 20. Tripple Integration 4
• 21. Tripple Integration 5
• 22. Tripple Integration 6
• 23. Tripple Integration 7
• 24. Tripple Integration 8
• 25. Tripple Integration 9
• 26. Tripple Integration 10
• 1. Area, Volume, Center of gravity, Moment of inertia Text