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Module 1
Introduction to Vector Calculus, Differential Equations & Transforms
Vector Calculus; Domain of a vector function
Limit and Derivative of vector function
Tangent vector and tangent line (Theory and Problems)
Derivatives of dot & cross products (Theory and Problems)
Integration of vector-valued functions (Theory and Problems)
Motion along a curve (Theory and problems)
Motion along a curve (Problems)
Unit tangent and unit normal vector (Theory and problems)
Normal & Tangential components of acceleration (Theory & Problems)
Normal & Tangential components of acceleration (Problems)
Gradient and Directional derivatives (Theory & Problems)
Gradient (Problems)
Curl & Divergence (Theory & Problems)
Line Integral (Theory & Problems)
Work done (Theory & Problems)
Conservative vector field (Theory & Problems)
MAT102 (Notes) - Module 1
Assignment 1 - MAT102
Module 2
Green's Theorem (Theory & Problems)
Green's Theorem (Problems)
Gauss Divergence Theorem (Theory & Problems)
Gauss Divergence Theorem (Problems); Source & Sink (Theory & Problems)
Surface Integrals (Theory & Problems)
Surface Integrals (Problems)
Stokes' Theorem (Theory & Problems)
Stokes' Theorem (Problems)
MAT102 (Notes) - Module 2
Assignment 2 - MAT102
Module 3
Differential Equations; Linear D.E.; Complementary functions (Theory)
Complementary functions (Problems)
Particular Integral - Type 1, Type 2 (Theory & Problems)
Particular Integral - Type 2 (Problems), Type 3 (Theory & Problems)
Particular Integral - Type 4 (Theory & Problems)
Method of variation of Parameters (Theory & Problems)
Cauchy-Euler Differential Equation (Theory & Problems)
Method of reduction of order - Type 1 (Theory & Problems)
Method of reduction of order - Type 2 (Theory & Problems)
Finding second order Ordinary Differential Equations
MAT102 (Notes) - Module 3
Assignment 3 - MAT102
Module 4
Laplace Transform (Theory & Problems)
First shifting theorem (Theory & Problems)
Multiplication by tⁿ (Theory & Problems); Division by t (Theory & Problems)
Transform of integrals (Theory & Problems); Inverse Laplace Transform (Theory & Problems)
Inverse Laplace Transform (Problems)
Inverse Laplace Transform (Problems)
Transforms of Derivatives (Theory & Problems)
Convolution Theorem (Theory & Problems)
Unit step function (Theory & Problems); Second shifting theorem (Theory & Problems)
MAT102 (Notes) - Module 4
Assignment 4 - MAT102
Module 5
Fourier Integrals (Theory & Problems)
Fourier Integrals (Problems - Part I)
Fourier Integrals (Problems - Part II)
Fourier Transforms (Theory & Problems)
Fourier Transforms (Problems)
Inverse Fourier Transform; Fourier sine & cosine transforms (Problems)
Fourier sine & cosine transforms (Problems)
MAT102 (Notes) - Module 5
Assignment 5 - MAT102
Solved Previous Year Questions
MAT102 - July 2021 - Solved
MAT102 - Model QP - Solved