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Punyashlok Ahilyadevi Holkar Solapur University, Maharashtra, Electrical Engineering Semester 4, Numerical Methods and Linear Algebra Syllabus
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Unit - 1 Solution of Algebraic and Transcendental Equations
Unit 1
Solution of Algebraic and Transcendental Equations
1.1 Introduction Basic properties of equations
1.2 NewtonRapshon Method Multiple roots
1.3 Newton’s iterative formula for obtaining square root only
1.4 System of non linear equations by Newton Rapshon method
Unit 1
Solution of Algebraic and Transcendental Equations
1.1 Introduction Basic properties of equations
1.2 NewtonRapshon Method Multiple roots
1.3 Newton’s iterative formula for obtaining square root only
1.4 System of non linear equations by Newton Rapshon method
Solution of Algebraic and Transcendental Equations
Unit 1
Solution of Algebraic and Transcendental Equations
1.1 Introduction Basic properties of equations
Solution of Algebraic and Transcendental Equations
Unit 1
Solution of Algebraic and Transcendental Equations
Solution of Algebraic and Transcendental Equations
Unit 1
Solution of Algebraic and Transcendental Equations
Solution of Algebraic and Transcendental Equations
Unit 1
Solution of Algebraic and Transcendental Equations
1.1 Introduction Basic properties of equations
1.2 NewtonRapshon Method Multiple roots
1.3 Newton’s iterative formula for obtaining square root only
Unit 1
Solution of Algebraic and Transcendental Equations
1.1 Introduction Basic properties of equations
1.2 NewtonRapshon Method Multiple roots
1.3 Newton’s iterative formula for obtaining square root only
1.4 System of non linear equations by Newton Rapshon method
Unit - 2 Solution of linear simultaneous Equations
Unit 2
Solution of linear simultaneous Equations
2.1 Direct MethodsGauss Elimination Method
2.2 Method of Factorization
2.3 Iterative MethodsJacobi’s method Gauss –Seidal Method
Unit 2
Solution of linear simultaneous Equations
2.1 Direct MethodsGauss Elimination Method
2.2 Method of Factorization
2.3 Iterative MethodsJacobi’s method Gauss –Seidal Method
Solution of linear simultaneous Equations
Unit 2
Solution of linear simultaneous Equations
Solution of linear simultaneous Equations
Unit 2
Solution of linear simultaneous Equations
3.1 First order differential equation by and Runge – Kutta method Fourth order
Unit 2
Solution of linear simultaneous Equations
Solution of linear simultaneous Equations
Unit 2
Solution of linear simultaneous Equations
Unit 2
Solution of linear simultaneous Equations
2.1 Direct MethodsGauss Elimination Method
2.2 Method of Factorization
2.3 Iterative MethodsJacobi’s method Gauss –Seidal Method
Unit - 3 Numerical solutions of Ordinary Differential Equations
Unit 3
Numerical solutions of Ordinary Differential Equations
3.1 First order differential equation by and Runge – Kutta method Fourth order
3.2 Simultaneous first order differential equation by Picard’s method and Runge – Kutta method Fourth order
Unit 3
Numerical solutions of Ordinary Differential Equations
3.1 First order differential equation by and Runge – Kutta method Fourth order
3.2 Simultaneous first order differential equation by Picard’s method and Runge – Kutta method Fourth order
Numerical solutions of Ordinary Differential Equations
Unit 3
Numerical solutions of Ordinary Differential Equations
Numerical solutions of Ordinary Differential Equations
Unit 3
Numerical solutions of Ordinary Differential Equations
4.1 Numerical Integration using Newton’sCotes’s formulaeTrapezoidal rule
Unit 3
Numerical solutions of Ordinary Differential Equations
Unit 3
Numerical solutions of Ordinary Differential Equations
Numerical solutions of Ordinary Differential Equations
Unit 3
Numerical solutions of Ordinary Differential Equations
Unit 3
Numerical solutions of Ordinary Differential Equations
3.1 First order differential equation by and Runge – Kutta method Fourth order
3.2 Simultaneous first order differential equation by Picard’s method and Runge – Kutta method Fourth order
Unit - 4 Numerical Integration
Unit 4
Numerical Integration
4.1 Numerical Integration using Newton’sCotes’s formulaeTrapezoidal rule
4.2 Simpson’s 13rd rule Simpson’s 38th rule
4.3 Weddels rule Gaussian quadrature Romberg integration
Unit 4
Numerical Integration
4.1 Numerical Integration using Newton’sCotes’s formulaeTrapezoidal rule
4.2 Simpson’s 13rd rule Simpson’s 38th rule
4.3 Weddels rule Gaussian quadrature Romberg integration
Unit 4
Numerical Integration
4.1 Numerical Integration using Newton’sCotes’s formulaeTrapezoidal rule
4.2 Simpson’s 13rd rule Simpson’s 38th rule
4.3 Weddels rule Gaussian quadrature Romberg integration
Numerical Integration
Unit 4
Numerical Integration
Numerical Integration
Unit 4
Numerical Integration
Unit 4
Numerical Integration
Numerical Integration
Unit 4
Numerical Integration
4.1 Numerical Integration using Newton’sCotes’s formulaeTrapezoidal rule
Unit 4
Numerical Integration
4.1 Numerical Integration using Newton’sCotes’s formulaeTrapezoidal rule
4.2 Simpson’s 13rd rule Simpson’s 38th rule
4.3 Weddels rule Gaussian quadrature Romberg integration
Unit - 5 Linear Equations and Matrix Theory
Unit 5
Linear Equations and Matrix Theory
5.1 Echelon forms vector equations
5.2 The matrix equations AXB and AX0
5.3 Linear independence linear transformations applications of linear models
Unit 5
Linear Equations and Matrix Theory
5.1 Echelon forms vector equations
5.2 The matrix equations AXB and AX0
5.3 Linear independence linear transformations applications of linear models
Linear Equations and Matrix Theory
Unit 5
Linear Equations and Matrix Theory
Linear Equations and Matrix Theory
Unit 5
Linear Equations and Matrix Theory
Linear Equations and Matrix Theory
Unit 5
Linear Equations and Matrix Theory
Linear Equations and Matrix Theory
Unit 5
Linear Equations and Matrix Theory
Unit 5
Linear Equations and Matrix Theory
5.1 Echelon forms vector equations
5.2 The matrix equations AXB and AX0
5.3 Linear independence linear transformations applications of linear models
Unit - 6 Vector Spaces
Unit 6
Vector space
6.1 Vector spaces and subspaces
6.2 Null spaces column spaces and linear transformations
6.3 Linearly independent sets and bases
6.4 Co ordinate systems the dimension of vector space
6.5 Applications to difference equations
Unit 6
Vector space
6.1 Vector spaces and subspaces
6.2 Null spaces column spaces and linear transformations
6.3 Linearly independent sets and bases
6.4 Co ordinate systems the dimension of vector space
6.5 Applications to difference equations
Vector space
Unit 6
Vector space
Vector space
Unit 6
Vector space
6.1 Vector spaces and subspaces
Vector space
Unit 6
Vector space
Vector space
Unit 6
Vector space
Unit 6
Vector space
6.1 Vector spaces and subspaces
6.2 Null spaces column spaces and linear transformations
6.3 Linearly independent sets and bases
6.4 Co ordinate systems the dimension of vector space
6.5 Applications to difference equations
Unit - 8 Inner product and Orthogonality
Unit 8
Inner product and Orthogonality
8.1 Orthogonality symmetric matrices and quadratic form
8.2 Inner product and orthogonality Orthogonal sets least square problems
8.4 Diagonalization of symmetric matrices
Unit 8
Inner product and Orthogonality
8.1 Orthogonality symmetric matrices and quadratic form
8.2 Inner product and orthogonality Orthogonal sets least square problems
8.4 Diagonalization of symmetric matrices
Inner product and Orthogonality
Unit 8
Inner product and Orthogonality
Inner product and Orthogonality
Unit 8
Inner product and Orthogonality
Inner product and Orthogonality
Unit 8
Inner product and Orthogonality
Inner product and Orthogonality
Unit 8
Inner product and Orthogonality
Inner product and Orthogonality
Unit 8
Inner product and Orthogonality
Unit 8
Inner product and Orthogonality
8.1 Orthogonality symmetric matrices and quadratic form
8.2 Inner product and orthogonality Orthogonal sets least square problems
8.4 Diagonalization of symmetric matrices
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