Calendar 366 Ii 2 0 3

• Calendar 366 Ii 2 0 36
• Calendar 366 Ii 2 0 35

Browse and install Web Development apps that integrate with Google Workspace. Google Workspace Marketplace has a wide variety of Web Development apps. Teaching Tolerance provides free resources to educators—teachers, administrators, counselors and other practitioners—who work with children from kindergarten through high school.

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Calendar 366 Ii 2 0 36

• Calendar 366 Ii 2 0 36
• Calendar 366 Ii 2 0 35

Browse and install Web Development apps that integrate with Google Workspace. Google Workspace Marketplace has a wide variety of Web Development apps. Teaching Tolerance provides free resources to educators—teachers, administrators, counselors and other practitioners—who work with children from kindergarten through high school.

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Calendar 366 Ii 2 0 36

Calendar 366 Ii 2 0 35

• Overview

  Prerequisites

  • Integration, Differential Equation, Three-dimensional coordinate systems

  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.
  

  Course Outcomes

  The students will be able to learn:
  

  1. the effective mathematical tools for solutions of first order differential equations that model physical processes such as Newton's law of cooling, electrical circuit, rectilinear motion, mass spring systems, heat transfer etc.
  2. advanced integration techniques such as Reduction formulae, Beta functions, Gamma functions, Differentiation under integral sign and Error functions needed in evaluating multiple integrals and their applications.
  3. to trace the curve for a given equation and measure arc length of various curves.
  4. the concepts of solid geometry using equations of sphere, cone and cylinder in a comprehensive manner.
  5. evaluation of multiple integrals and its application to find area bounded by curves, volume bounded by surfaces, Centre of gravity and Moment of inertia
• Unit 2

  Unit 3

  Unit 4

  Unit 5

  Unit 6

  First Order Ordinary differential Equations

  Exact differential equations, Equations reducible to exact form. Linear differential equations, Equations reducible to linear form, Bernoulli's equation.
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  Applications of Differential Equations

  Applications 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.
  

  Integral Calculus

  Reduction Formulae, Beta and Gamma functions, Differentiation Under Integral Sign and Error functions.
  

  Curve Tracing

  Tracing of Curves – Cartesian, Polar and Parametric curves, Rectification of curves.
  

  Solid Geometry

  Cartesian, Spherical polar and Cylindrical coordinate systems, Sphere, Cone and Cylinder.
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  Multiple Integrals and their Applications

  Double and Triple integrations, Change of order of integration, Applications to find Area, Volume, Mass, Centre of Gravity and Moment of Inertia.
  

• Previous Years' Exams
  

  Question Papers

  
  

  Modal Answer Papers

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