Maths For Engineers - 1

Covering essential topics such as calculus, linear algebra, differential equations, and probability, this book offers clear explanations and practical applications relevant to various engineering disciplines. Each chapter features illustrative examples, problem-solving techniques, and real-world case studies to enhance understanding and retention.

• Leibnitz Theorem
• Differential Calculus-i
• Problems On Leibnitz Theorem
• Radius Of Curvature
• Taylor’s Theorem
• Curve Tracing
• Partial Derivatives
• Problems On Differential Calculus I
• Euler Lagrange Equation
• Problems On Radius Of Curvature
• Cauchy’s Mean Value Theorem
• Radius Of Curvature In Parametric Form
• Change Of Variable Theorem
• Problems On Fundamental Theorem
• Radius Of Curvature In Polar Form
• Vector Functions
• Differential Operators
• Gauss Divergence Theorem
• Green's Theorem
• Vector Line Integral
• Stoke Theorem
• Curl Of Vector
• Vector Gradient
• Directional Derivative Of Vector
• Problems On Vector Calculus
• Divergence Of Vector
• Problems On Integrals Theorem
• Surface And Volume Integrals
• Orthogonal Curvilinear Coordinates
• Theorem Of Line Integral
• Extrema Of Function Of Several Variables
• Indeterminate Forms
• Problems On L' Hospital Rule
• Polar Curves
• Various Indeterminate Forms
• Problems On Taylor's Theorem
• Problems On Lagrange’s Method Of Undetermined Multipliers
• Lagrange’s Method Of Undetermined Multipliers
• Problems On Differential Calculus Ii
• Taylor’s Theorem For Function Of Two Variables
• Jacobian Of Transformation
• Problems On Polar Curve
• Problems On Various Indeterminate Forms
• Problems Maxima And Minima Of Function Of Two Variables
• Maxima And Minima Of Function Of Two Variables
• Introduction Of Matrices
• Problems On Matrices
• Matrix Multiplication
• Properties Of Matrices
• Eigenvalues And Eigenvector
• Scalar Multiplication
• Transpose Of Matrix
• Echelon Form Of Matrix
• Method Of Finding Eigenvalues And Eigenvectors
• Determinant
• Rank And Trace Of Matrix
• Cayley-hamilton Theorem
• Nonsingular Matrix
• System Of Linear Equation
• Properties Of Determinants
• Idempotent Matrices
• Unitary Matrices
• Solution To Linear System By Inverse Method
• Diagonalisation Of Matrices
• Solution To A Linear System
• Multiple Integrals
• Problems On Beta And Gamma Functions
• Dirichlet Integral And Fourier Series
• Problems On Multiple Integral
• Beta And Gamma Function
• Dirichlet Integral
• Applications To Area And Volume
• Triple Integrals
• Double Integral By Changing The Order Of Integration
• Objective Question On Integrals
• Problems On Integrals
• Problems On Applications To Area And Volume
• Relationship Between Beta And Gamma Functions
• Triple Integrals Using Cylindrical Coordinates
• Problems On Dirichlet Integrals