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CALCULUS AND DIFFERENTIAL EQUATIONS MODULE 4

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)

CALCULUS AND DIFFERENTIAL EQUATIONS MODULE 3

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

CALCULUS AND DIFFERENTIAL EQUATIONS MODULE 2

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

CALCULUS AND DIFFERENTIAL EQUATIONS MODULE 1

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

First Year VTU Notes – 2021 Scheme

2021 Scheme P-Cycle & C-Cycle VTU Notes 2021 Scheme First year Notes (P-cycle & C-cycle) P-CYCLE C-CYCLE The 2021 Scheme P-Cycle and C-Cycle VTU Notes hold immense importance for students enrolled in VTU. 1st and 2nd Sem 2021 Scheme Vtu Notes are tailored to align with the latest curriculum, ensuring that students have access to … Read more

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