Sachchidanand Prasad
course_picture
  • Mean value theorems
  • Theorems of integral calculus
  • Evaluation of definite and improper integral
  • Partial derivatives
  • Maxima and minima
  • Multiple integrals
  • Line, surface and volume integrals
  • Taylor series
  • Vector space
  • Basis
  • Linear dependence and independence
  • Matrix algebra
  • Eigenvalues and eigenvectors
  • Rank
  • First order linear and nonlinear equations
  • Higher order linear equations
  • Cauchy’s and Euler’s equations
  • Method of solution using variation of parameters
  • Complementary functions and particular integral
  • Partial differential equations
  • Variable separable method
  • Initial and boundary value problems
  • Vectors in plane and space
  • Vector operations
  • Gradient
  • Divergence and Curl
  • Gauss's divergence theorem
  • Green's and Stokes' theorems
  • Analytic functions
  • Cauchy's integral theorem
  • Cauchy's integral formula
  • Sequence and series
  • Convergence tests
  • Taylor and Laurent series
  • Residue Theorem
  • Mean, median and mode
  • Standard deviation
  • Combinatorial probability
  • Probability distributions
    1. Binomial
    2. Poisson
    3. Exponential
    4. Normal
  • Joint and conditional probabilities
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