Skip to content21MAT11 – Module 5 LINEAR ALGEBRA Module 5 Elementary row transformation of a matrix, Rank of a matrix. Consistency and Solution of a system of linear equations; Gauss-elimination method, Gauss-Jordan method and Approximate solution by Gauss-Seidel method. Eigenvalues and Eigenvectors-Rayleigh’s power method to find the dominant Eigenvalue and Eigenvector. DOWNLOAD MODULE 1 NOTES (21MAT11) DOWNLOAD … Read more
21MAT11 – Module 4 ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER Module 4 Higher-order linear ODE’s with constant coefficients – Inverse differential operator, method of variation of parameters, Cauchy’s and Legendre homogeneous differential equations Problems. DOWNLOAD MODULE 1 NOTES (21MAT11) DOWNLOAD MODULE 2 NOTES (21MAT11) DOWNLOAD MODULE 3 NOTES (21MAT11) DOWNLOAD MODULE 5 NOTES (21MAT11)
21MAT11 – Module 3 ORDINARY DIFFERENTIAL EQUATIONS (ODE’S) OF FIRST ORDER MODULE 3 Linear and Bernoulli’s differential equations. Exact and reducible to exact differential equations. Applications of ODE’s-Orthogonal trajectories, Newton’s law of cooling. Nonlinear differential equations: Introduction to general and singular solutions; Solvable for p only; Clairaut’s equations, reducible to Clairaut’s equations. Problems. DOWNLOAD MODULE … Read more
21MAT11 – Module 2 DIFFERENTIAL CALCULUS 2 MODULE 2 Taylor’s and Maclaurin’s series expansion for one variable (Statement only) – problems. Indeterminate forms-L’Hospital’s rule. Partial differentiation, total derivative-differentiation of composite functions. Jacobian and problems. Maxima and minima for a function of two variables Problems. DOWNLOAD MODULE 1 NOTES (21MAT11) DOWNLOAD MODULE 3 NOTES (21MAT11) DOWNLOAD … Read more
21MAT11 – Module 1 DIFFERENTIAL CALCULUS 1 MODULE 1 Polar curves, angle between the radius vector and the tangent, angle between two curves. Pedal equations. Curvature and Radius of curvature – Cartesian, Parametric, Polar and Pedal forms and problems. DOWNLOAD MODULE 2 NOTES (21MAT11) DOWNLOAD MODULE 3 NOTES (21MAT11) DOWNLOAD MODULE 4 NOTES (21MAT11) DOWNLOAD … Read more
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