Dr. Vivek Rohira

Course available for 6 months after purchase

Syllabus to Cover As Per Latest Pattern 2024 : Unit-1 Calculus:

Improper integrals (Beta and Gamma functions) and their properties;
Applications of definite integrals to evaluate surface areas and volumes of revolutions.

Unit-2 Sequences and Series:

Convergence of sequence and series, tests for convergence; Power series, Taylor's series, series for exponential, trigonometric and logarithm functions.

Unit-3 Fourier Series:

Periodic functions, Fourier series, Euler’s formula, Change of intervals, Half range sine and cosine series, Parseval’s theorem.

Unit-4 Multivariable Calculus (Differentiation):

Limit, continuity and partial derivatives, directional derivatives, total
derivative; Tangent plane and normal line; Maxima, minima and saddle
points; Method of Lagrange multipliers; Gradient, curl and divergence.

Unit-5 Multivariable Calculus (Integration):

Multiple Integration: Double integrals (Cartesian), change of order of
integration in double integrals, Change of variables (Cartesian to polar),
Applications: areas and volumes, Centre of mass and Gravity (constant and
variable densities); Triple integrals (Cartesian), Simple applications involving cubes, sphere and rectangular parallelepipeds; Scalar line integrals, vector line integrals, scalar surface integrals, vector surface integrals, Theorems of Green, Gauss and Stokes.

ENGINEERING MATHEMATICS -1 " RTU KOTA " COMMON TO ALL BRANCHES

U2FsdGVkX19eedIQaxU/6ynpQNIkaee1cLVGODlOdH0=

Gamma Functions 

U2FsdGVkX1+flHBcYGNQ8A4ZRP5v15F7qxBG+PI7FeU=

Test#1 Comparison Test : Very Useful Test 

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Cauchy nth Root Test

VR Mathematics Academy

Maharashtra

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Hey! I’m learning with VR Mathematics Academy and you can too. Here’s a course you might like: ENGINEERING MATHEMATICS -1 " RTU KOTA " COMMON TO ALL BRANCHES by Dr. Vivek Rohira
    https://classplusapp.com/w/vr-mathematics-academy-uchqg/courses/263358?utm_source=telegram&utm_medium=social&utm_campaign=web-course-share

Hey! I’m learning with VR Mathematics Academy and you can too. Here’s a course you might like: ENGINEERING MATHEMATICS -1 " RTU KOTA " COMMON TO ALL BRANCHES by Dr. Vivek Rohira
    https://classplusapp.com/w/vr-mathematics-academy-uchqg/courses/263358?utm_source=linkedin&utm_medium=social-link&utm_campaign=web-course-share

Hey! I’m learning with VR Mathematics Academy and you can too. Here’s a course you might like: ENGINEERING MATHEMATICS -1 " RTU KOTA " COMMON TO ALL BRANCHES by Dr. Vivek Rohira
    https://classplusapp.com/w/vr-mathematics-academy-uchqg/courses/263358?utm_source=copy-link&utm_medium=social&utm_campaign=web-course-share

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