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The Department of Aeronautical and AutomobilecoretheorySem 3

ENGINEERING MATHEMATICS III

MAT 2121

Syllabus

  • 01Gradient, divergence and curl
  • 02Line, surface and volume integrals
  • 03Green's, divergence and Stoke's theorems
  • 04Fourier series of periodic functions
  • 05Half range expansions
  • 06Harmonic analysis
  • 07Fourier integrals
  • 08Sine and cosine integrals
  • 09Fourier transform
  • 10Sine and cosine transforms
  • 11Partial differential equation- Basic concepts
  • 12solutions of equations involving derivatives with respect to one variable only
  • 13solutions by indicated transformations and separation of variables
  • 14One-dimensional wave equation
  • 15one dimensional heat equation and their solutions
  • 16Numerical solutions of boundary valued problems
  • 17Laplace and Poisson equations
  • 18heat and wave equations by explicit methods

References

  • Erwin Kreyszig: Advanced Engineering Mathematics, Wiley Eastern (1985)
  • S.S.Sastry: Introductory Methods of Numerical Analysis, Prentice Hall (1990)
  • B.S.Grewal: Higher Engg. Mathematics, edn., Khanna Publishers (1989)
  • Murray R.Spiegel: Vector Analysis, Schaum Publishing Co (1959)
Credits Structure
2Lecture
1Tutorial
0Practical
3Total