Digital Course on
"Multivariate Calculus / Engineering Mathematics II"
Digital Course on
"Multivariate Calculus / Engineering Mathematics II"
Unit I Partial Differentiation
Composite Function & Total Derivative
MCQs on Partial Differentiation Part I
MCQs on Partial Differentiation Part II
Unit II Application of Partial Differentiation
Jacobian of Explicit Function & Chain Rule
Jacobian of Implicit Function
Partial Derivative using Jacobian
Functional Dependence & Errors and Appxominations Part I
Errors and Approximations Part II & Maxima & Minima Part I
Maxima & Minima Part II
MCQs on Application of Partial Differentiation
Unit III Fourier Series
Introduction Fourier Series Part I
Introduction of Fourier Series Part II
Examples on Fourier Series
Fourier Series of Even and Odd Function
Examples on Fourier Series on Interval Function
Half Range Cosine & Sine Series
MCQs on Fourier Series
Harmonic Analysis Part I
Harmonic Analysis Part II
Harmonic Analysis (MCQs) Part III
MCQs on Application of Partial Differentiation Part I
MCQs on Application of Partial Differentiation Part II
Unit IV Integral Calculus
Introduction of Gamma Function
Examples on Gamma Function Part I
MCQs on Gamma Function
Introduction of Beta Function
Examples on Beta Function Part I
Examples on Beta Function
Introduction of Reduction Formulae
DUIS Rule I Part I
DUIS Rule I Part II
DUIS Rule II
Error Function
Unit V Multiple Integration (Double Integral)
Double Integral with limits
Double Integral Without Limits
Change of Order
Double Integral using Polar Coordinates Part I
Double Integral using Polar Coordinates Part II
MCQs on Double Integral and Area
MCQs on Double Integral
Unit VI Multiple Integral (Triple Integral)
Triple Integral with Limits
MCQs on Polar Coordinates of Sphere, Ellipsoid & Cylinder
Triple Integral & Dirichlets Theorem Part I
Volume Part I
Volume Part II & Dirichlets Theorem
Triple Integral & Volume Part III
Center of Gravity