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Course Curriculum

MULTIPLE INTEGRAL
Beta and Gamma Function 00:33:00
Introduction to Double Integrals 00:12:00
Change of Order 01:50:00
VECTOR CALCULUS
Gradient 01:12:00
Tangent Plane and Normal 00:18:00
Problems on Gradient 00:07:00
Divergence and Curl 00:41:00
Line Integral 00:56:00
Greens Theorem 01:06:00
Surface Integral 01:19:00
Gauss Divergence Theorem 01:36:00
Stokes Theorem 00:56:00
Conservative Vector Field 00:23:00
DIFFERENTIAL EQUATIONS
Introduction to Differential Equations 00:25:00
Differential Equation of First order and First Degree 02:01:00
Orthogonal Trajectory 00:27:00
Differential Equation with Constant Coefficient 01:19:00
Homogeneous Linear Differential Equation 00:49:00
Differential Equation of Second Order 01:24:00
MATRICES
Introduction to Matrices 02:17:00
Rank of Matrix 00:54:00
Linear Equations 02:04:00
Determinant 02:14:00
Revision of Matrices 02:03:00
Vector Spaces 01:05:00
Linear Equations – Vector Space Approach 01:43:00
Introduction to Eigenvalues and Eigenvectors 00:36:00
Diagonalisation of Matrices and its Applications 00:59:00
Properties of Eigenvalues 00:18:00
Symmetric Matrices 01:09:00
Cayley Hamilton Equation 00:08:00
Similar Matrices 00:16:00
DIFFERENTIAL CALCULUS
Monotonicity 01:07:00
Critical Points 00:54:00
Maxima and Minima 00:45:00
Rolle Theorem 00:25:00
Lagrange Mean Value Theorem 00:33:00
Taylors Theorem 00:33:00
Function of Two Variables 01:32:00
Jacobian 00:32:00
Maxima and Minima of Function of Several Variables 01:02:00
FOURIER SERIES
Fourier Series 00:14:00

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