Engineering Mathematics 2 [M2] FE Notes | 您所在的位置:网站首页 › reduction formulae › Engineering Mathematics 2 [M2] FE Notes |
Course Objectives:
To make the students familiarize with Mathematical Modeling of physical systems using differential equations advanced techniques of integration, tracing of curve, multiple integrals and their applications. The aim is to equip them with the techniques to understand advanced level mathematics and its applications that would enhance thinking power, useful in their disciplines. Examination Scheme:In Semester : 30 MarksEnd Semester: 70 MarksPR: 25 Marks Download Notes Notes Insem UnitDownload ButtonUnit No: 1 Download NowUnit No: 2 Download Now Endsem Download Question Papers 🔗 UnitDownload ButtonUnit No: 3 Download NowUnit No: 4 Download NowUnit No: 5 Download NowUnit No: 6 Download Now Syllabus Unit I: First Order Ordinary differential EquationsExact differential equations, Equations reducible to exact form. Linear differential equations, Equations reducible to linear form, Bernoulli’s equation. Unit 2: Applications of Differential EquationsApplications of Differential Equations to Orthogonal Trajectories, Newton’s Law of Cooling,Kirchhoff’s Law of Electrical Circuits, Rectilinear Motion, Simple Harmonic Motion, One dimensional Conduction of Heat. Unit 3: Integral CalculusReduction Formulae, Beta and Gamma functions, Differentiation Under Integral Sign and Error functions. Unit 4: Curve TracingTracing of Curves – Cartesian, Polar and Parametric curves, Rectification of curves. Unit 5: Solid GeometryCartesian, Spherical polar and Cylindrical coordinate systems, Sphere, Cone and Cylinder. Unit 6: Multiple Integrals and their ApplicationsDouble and Triple integrations, Change of order of integration, Applications to find Area, Volume, Mass, Centre of Gravity and Moment of Inertia. |
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