Subject Code: CL5L102	Subject Name: Mathematical and Statistical Methods in Climate Science	L-T-P: 3-0-0	Credit: 3
Pre-requisite(s): Nil
Rank and inverse of a matrix, consistency of linear system of equations, eigenvalues and eigenfunctions, orthonormal systems. Taylor’s theorem and infinite series, functions of several variables, maxima and minima, ordinary differential equations, series solution of Legendre and Bessel equations, Laplace transforms. Initial and boundary value problems, complex analysis, periodic, even and odd functions, Time series analysis: Fourier and spectral methods. Probability, conditional probability, mean, median and variance, analysis of variance distributions. Text/Reference Books: Hans von Storch and Francis W. Zwier, Statistical analysis in climate research. Cambridge University Press. W. J. Emery, Richard E. Thomson. Data Analysis Methods in Physical Oceanography. Elsevier Science Trauth, E. Sillmann, R. Gebbers, N. Marwan. MATLAB® Recipes for Earth Sciences, Springer

Subject Code: CL5L102

Subject Name: Mathematical and Statistical Methods in Climate Science

L-T-P: 3-0-0

Credit: 3

Pre-requisite(s): Nil

Rank and inverse of a matrix, consistency of linear system of equations, eigenvalues and eigenfunctions, orthonormal systems. Taylor’s theorem and infinite series, functions of several variables, maxima and minima, ordinary differential equations, series solution of Legendre and Bessel equations, Laplace transforms. Initial and boundary value problems, complex analysis, periodic, even and odd functions, Time series analysis: Fourier and spectral methods. Probability, conditional probability, mean, median and variance, analysis of variance distributions.
Text/Reference Books:

Hans von Storch and Francis W. Zwier, Statistical analysis in climate research. Cambridge University Press.
W. J. Emery, Richard E. Thomson. Data Analysis Methods in Physical Oceanography. Elsevier Science
Trauth, E. Sillmann, R. Gebbers, N. Marwan. MATLAB® Recipes for Earth Sciences, Springer