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. INTEGRAL CALCULUS
9 Chapters | 101 Solved Problems
label_important 1.1 Double Integral
label_important1.2 Triple Integral
label_important 1.3 Change of Order of Integration
label_important 1.4 Change of Variables (Double Integral)
label_important 1.5 Application of Double Integral (Area)
label_important 1.6 Application of double integral (Volume)
label_important 1.7 Beta Function
label_important 1.8 Gamma Function
label_important 1.9 Relation Between Gamma and Beta Function
label_important2. VECTOR CALCULUS
7 Chapters | 110 Solved Problems
label_important 2.1 Gradient
label_important2.2 Directional derivatives
label_important 2.3 Curl & Divergence
label_important 2.4 Solenoidal & Irrotational
label_important 2.5 Curvilinear coordinates
label_important 2.6 Cylindrical Polar Coordinates
label_important2.7 Spherical Polar Coordinates
label_important3. VECTOR SPACE AND LINEAR TRANSFORMATIONS
12 Chapters | 62 Solved Problems
label_important 3.1 Vector Spaces
label_important3.2 Sub Spaces
label_important 3.3 Linear Combination And Systems Of Equations
label_important 3.4 Linear Dependence And Linear Independence
label_important 3.5 Bases and dimension
label_important 3.6 Finite Dimensional Vector Space
label_important 3.7 Linear Transformations
label_important 3.8 Algebra of Transformation
label_important 3.9 Rank and Nullity of a Linear Operator
label_important 3.10 Rank and Nullity Theorem
label_important 3.11 Inner product spaces
label_important 3.12 Orthogonality
label_important 4. NUMERICAL METHODS - 1
6 Chapters | 48 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