label_importantIMPORTANT SOLVED QUESTIONS
label_important Module 1
label_importantModule 2
label_important Module 3
label_important Module 4
label_important Module 5
label_important1. VECTOR CALCULUS
8 Chapters | 109 Solved Problems
label_important 1.1 Gradient
label_important1.2 Directional derivatives
label_important 1.3 Curl & Divergence
label_important 1.4 Solenoidal & Irrotational
label_important 1.5 Line Integral
label_important 1.6 Surface Integral
label_important 1.7 Greens Theorem
label_important 1.8 Stokes Theorem
label_important2. VECTOR SPACE AND LINEAR TRANSFORMATIONS
12 Chapters | 62 Solved Problems
label_important 2.1 Vector Spaces
label_important2.2 Sub Spaces
label_important 2.3 Linear Combination And Systems Of Equations
label_important 2.4 Linear Dependence And Linear Independence
label_important 2.5 Bases and dimension
label_important 2.6 Finite Dimensional Vector Space
label_important 2.7 Linear Transformations
label_important 2.8 Algebra of Transformation
label_important 2.9 Rank and Nullity of a Linear Operator
label_important 2.10 Rank and Nullity Theorem
label_important 2.11 Inner product spaces
label_important 2.12 Orthogonality
label_important3. LAPLACE TRANSFORM
13 Chapters | 96 Solved Problems
label_important 3.1 Laplace transform
label_important 3.2 Laplace Transform of Some Standard Functions
label_important 3.3 First, Second Shifting Theorem and Change of Scale Property
label_important 3.4 Transforms of Derivatives
label_important 3.5 Transforms of Integrals
label_important 3.6 Laplace Transform of Periodic Functions
label_important 3.7 Laplace Transform of Unit Step and Unit Impulse Functions
label_important 3.8 Inverse Laplace Transform
label_important 3.9 First and Second Shifting Theorem, Change of Scale of Property
label_important3.10 Inverse Laplace Transform of Derivatives and Integrals
label_important 3.11 Multiplication by Power of s and Division by s
label_important 3.12 Convolution theorem
label_important 3.13 Solving Ordinary Equations by Laplace Transforms
label_important 4. NUMERICAL METHODS - 1
6 Chapters | 38 Solved Problems
label_important 4.1 Newton-Raphson method
label_important4.2 Newton’s forward and backward difference interpolation
label_important 4.3 Newton’s divided difference interpolations
label_important 4.4 Lagrange’s interpolations
label_important 4.5 Trapezoidal rule
label_important 4.6 Simpson’s 1/3 rule
label_important 5. NUMERICAL METHODS - 2
4 Chapters | 38 Solved Problems
label_important 5.1 Taylor’s series method
label_important5.2 Modified Euler’s method
label_important 5.3 Runge-Kutta method
label_important 5.4 Milne's predictor-corrector method