Gauhati University BSc 5th Sem Mathematics Major syllabus, BSc 5th sem Maths Honours question paper Gauhati University, MAT HC 5026 Linear Algebra 5th sem GU previous year questions, Guwahati University BSc 5th Sem Math Major suggestion 2026, BSc 5th semester Math Major notes Gauhati University PDF, Gauhati University BSc 5th sem Mathematics major practical, Linear Algebra vector spaces basis dimension BSc 5th sem GU.
All FYUGP Mathematics Students please choose Your Subject
Scroll Down
All FYUGP Mathematics Students please choose Your Subject
Scroll Down
Multivariate Calculus
Course Code:
MAT0500104MJ / MAT0500104MN
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Functions of several variables
View Notes
➔
Unit: 2
Extrema of functions of two variables
View Notes
➔
Unit: 3
Double integration over rectangular and nonrectangular regions
View Notes
➔
Unit: 4
Line integrals
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Multivariate Calculus
Course Code:
MAT0500104MJ / MAT0500104MN
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Functions of several variables
View Notes
➔
Unit: 2
Extrema of functions of two variables
View Notes
➔
Unit: 3
Double integration over rectangular and nonrectangular regions
View Notes
➔
Unit: 4
Line integrals
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Linear Algebra (Major/Minor)
Course Code:
MAT0500204MJ / MAT0500204MN
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Definition and examples of vector spaces
View Notes
➔
Unit: 2
Linear combinations of vectors
View Notes
➔
Unit: 3
Eigen vectors and eigenvalues of a matrix
View Notes
➔
Unit: 4
Inner products, Length and orthogonality
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Linear Algebra (Major/Minor)
Course Code:
MAT0500204MJ / MAT0500204MN
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Definition and examples of vector spaces
View Notes
➔
Unit: 2
Linear combinations of vectors
View Notes
➔
Unit: 3
Eigen vectors and eigenvalues of a matrix
View Notes
➔
Unit: 4
Inner products, Length and orthogonality
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Numerical Analysis (with practical) (Major/Minor)
Course Code:
MAT0500304MJ / MAT0500304MN
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Gaussian elimination method (with row pivoting), Gauss-Jordan method
View Notes
➔
Unit: 2
Numerical differentiation: First and second order derivatives
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Numerical Analysis (with practical) (Major/Minor)
Course Code:
MAT0500304MJ / MAT0500304MN
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Gaussian elimination method (with row pivoting), Gauss-Jordan method
View Notes
➔
Unit: 2
Numerical differentiation: First and second order derivatives
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Theory of Real Functions
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Cluster point or limit point of a set
View Notes
➔
Unit: 2
Continuous functions, sequential criterion for continuity and discontinuity
View Notes
➔
Unit: 3
Differentiability of a function at a point and in an interval
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Theory of Real Functions
Click on the topics below to view the questions and answers for this paper:
Unit: 1
Cluster point or limit point of a set
View Notes
➔
Unit: 2
Continuous functions, sequential criterion for continuity and discontinuity
View Notes
➔
Unit: 3
Differentiability of a function at a point and in an interval
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
E-Book
Abstract Algebra
📄 Online Reading Access
4.8
(1,240)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
E-Book
Numerical Analysis (with practical)
📄 Online Reading Access
4.7
(2,150)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
E-Book
Theory of Real Functions
📄 Online Reading Access
4.6
(890)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
E-Book
Multivariate Calculus
📄 Online Reading Access
4.9
(1,560)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
E-Book
Abstract Algebra
📄 Online Reading Access
4.8
(1,240)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
E-Book
Numerical Analysis (with practical)
📄 Online Reading Access
4.7
(2,150)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
E-Book
Theory of Real Functions
📄 Online Reading Access
4.6
(890)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
E-Book
Multivariate Calculus
📄 Online Reading Access
4.9
(1,560)
₹99
₹200
50% Off
🔒 Buy to Unlock Online Access
Student Review & Feedback
আপোনাৰ মূল্যৱান মতামত দিয়ক (Share your thoughts & reviews)
⏳ Reviews will be verified & published within 24 hours
📌 পৰীক্ষিত আৰু প্ৰকাশিত মতামত (Verified Reviews)
🔒 100% VerifiedLoading verified reviews...
⏳
মতামত সফলতাৰে জমা হ'ল!
Thank you! Your feedback has been received.
আপোনাৰ মতামত সংৰক্ষণ কৰা হৈছে। সুৰক্ষা আৰু পৰীক্ষণৰ পাছত ২৪ ঘণ্টাৰ ভিতৰত ইয়াক ৱেবচাইটত প্ৰকাশ কৰা হ'ব।
Student Review & Feedback
আপোনাৰ মূল্যৱান মতামত দিয়ক (Share your thoughts & reviews)
⏳ Reviews will be verified & published within 24 hours
📌 পৰীক্ষিত আৰু প্ৰকাশিত মতামত (Verified Reviews)
🔒 100% VerifiedLoading verified reviews...
⏳
মতামত সফলতাৰে জমা হ'ল!
Thank you! Your feedback has been received.
আপোনাৰ মতামত সংৰক্ষণ কৰা হৈছে। সুৰক্ষা আৰু পৰীক্ষণৰ পাছত ২৪ ঘণ্টাৰ ভিতৰত ইয়াক ৱেবচাইটত প্ৰকাশ কৰা হ'ব।
Multivariate Calculus
Semester-V | Total Marks: 100 (External: 60, Internal: 40) | Credits: 4
Paper Code: MAT0500104MJ
THEORY UNITS
UNIT 1
15 Marks
Functions of several variables, Level curves and surfaces, Limits and continuity, Partial differentiation, Higher order partial derivative, Chain rule, Directional derivatives, The gradient, Maximal property of the gradient.
[1] Chapter 13
UNIT 2
15 Marks
Extrema of functions of two variables, Method of Lagrange multipliers, Constrained optimization problems; Definition of vector field, Divergence and curl.
[1] Chapter 13
UNIT 3
15 Marks
Double integration over rectangular and nonrectangular regions, Double integrals in polar coordinates, Triple integral over a parallelepiped and solid regions, Volume by triple integrals.
[1] Chapter 14
UNIT 4
15 Marks
Line integrals, Applications of line integrals: Mass and Work, Fundamental theorem for line integrals, Conservative vector fields, Green's theorem, Area as a line integral; Surface integrals, Stokes' theorem, The Gauss divergence theorem.
[1] Chapter 15
Note: Use of Scientific calculator is allowed.
Multivariate Calculus
Semester-V | Total Marks: 100 (External: 60, Internal: 40) | Credits: 4
Paper Code: MAT0500104MJ
THEORY UNITS
UNIT 1
15 Marks
Functions of several variables, Level curves and surfaces, Limits and continuity, Partial differentiation, Higher order partial derivative, Chain rule, Directional derivatives, The gradient, Maximal property of the gradient.
[1] Chapter 13
UNIT 2
15 Marks
Extrema of functions of two variables, Method of Lagrange multipliers, Constrained optimization problems; Definition of vector field, Divergence and curl.
[1] Chapter 13
UNIT 3
15 Marks
Double integration over rectangular and nonrectangular regions, Double integrals in polar coordinates, Triple integral over a parallelepiped and solid regions, Volume by triple integrals.
[1] Chapter 14
UNIT 4
15 Marks
Line integrals, Applications of line integrals: Mass and Work, Fundamental theorem for line integrals, Conservative vector fields, Green's theorem, Area as a line integral; Surface integrals, Stokes' theorem, The Gauss divergence theorem.
[1] Chapter 15
Note: Use of Scientific calculator is allowed.
Linear Algebra
Semester-V | Total Marks: 100 (External: 60, Internal: 40)
Paper Code: MAT0500204MJ
THEORY UNITS
UNIT 1
15 Marks
Definition and examples of vector spaces, general properties of vector spaces, Definition and examples of subspaces, subspace criterions and algebra of subspaces, null space and column space of a matrix, Linear transformations, Kernel and range of a linear transformation.
[1] Chapter 4, [2] Chapter 4
UNIT 2
15 Marks
Linear combinations of vectors, linearly dependent and independent sets, bases of vector spaces, coordinate systems, dimension of a vector space, ranks, change of basis.
[1] Chapter 4, [2] Chapter 5
UNIT 3
15 Marks
Eigenvectors and eigenvalues of a matrix, The Characteristic equation, Diagonalization, eigenvector of a linear transformation, Complex eigenvalues. Invariant subspaces and Cayley-Hamilton Theorem.
[1] Chapter 5, [2] Chapter 9, [3] Chapter 5
UNIT 4
15 Marks
Inner products, Length and orthogonality, orthogonal sets, orthogonal projections, The Gram-Schmidt process, Inner product spaces. Bilinear and quadratic forms.
[1] Chapter 6, [2] Chapter 12
Linear Algebra
Semester-V | Total Marks: 100 (External: 60, Internal: 40)
Paper Code: MAT0500204MJ
THEORY UNITS
UNIT 1
15 Marks
Definition and examples of vector spaces, general properties of vector spaces, Definition and examples of subspaces, subspace criterions and algebra of subspaces, null space and column space of a matrix, Linear transformations, Kernel and range of a linear transformation.
[1] Chapter 4, [2] Chapter 4
UNIT 2
15 Marks
Linear combinations of vectors, linearly dependent and independent sets, bases of vector spaces, coordinate systems, dimension of a vector space, ranks, change of basis.
[1] Chapter 4, [2] Chapter 5
UNIT 3
15 Marks
Eigenvectors and eigenvalues of a matrix, The Characteristic equation, Diagonalization, eigenvector of a linear transformation, Complex eigenvalues. Invariant subspaces and Cayley-Hamilton Theorem.
[1] Chapter 5, [2] Chapter 9, [3] Chapter 5
UNIT 4
15 Marks
Inner products, Length and orthogonality, orthogonal sets, orthogonal projections, The Gram-Schmidt process, Inner product spaces. Bilinear and quadratic forms.
[1] Chapter 6, [2] Chapter 12
Numerical Analysis (with practical)
Semester-V | Total Marks: 100 (External: 45, Practical: 25, Internal: 30) | Credits: 4 (Theory: 3, Practical: 1)
Paper Code: MAT0500304MJ
THEORY UNITS
UNIT 1
25 Marks
Gaussian elimination method (with row pivoting), Gauss-Jordan method; Iterative methods: Jacobi method, Gauss-Seidel method; Interpolation: Lagrange form, Newton form, Finite difference operators, Gregory-Newton forward and backward difference interpolations, Piecewise polynomial interpolation (Linear and Quadratic).
[1] Chapter 3 (Sections 3.1, 3.2), Chapter 6 (Sections 6.1, 6.2), Chapter 8 (Section 8.1, Section 8.3 (8.3.1 and 8.3.2)), Chapter 18 (Sections 18.1 to 18.3)
[2] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
[2] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
UNIT 2
20 Marks
Numerical differentiation: First and second order derivatives; Numerical integration: Trapezoid rule, Simpson's rule; Extrapolation methods: Richardson extrapolation, Romberg integration; Numerical solutions of ODE: Euler's method, Modified Euler's methods.
[1] Chapter 22 (Sections 22.1, 22.2, 22.3)
[2] Chapter 11 [Sections 11.1 (11.1.1, 11.1.2, 11.1.4), and 11.2 (11.2.1, 11.2.2, 11.2.4)]
[2] Chapter 11 [Sections 11.1 (11.1.1, 11.1.2, 11.1.4), and 11.2 (11.2.1, 11.2.2, 11.2.4)]
Practical / Lab work to be performed on a computer
25 Marks
Use of computer aided software (CAS), for example Matlab/Mathematica/Maple, etc., for developing the following numerical programs:
- Lagrange's interpolation method
- Newton's interpolation method
- To calculate forward and backward differences
- Trapezoidal rule
- Simpson's rule
Note: For any of the CAS Matlab/Mathematica/Maple etc., Data types-simple data types, floating data types, character data types, arithmetic operators and operator precedence, variables and constant declarations, expressions, input/output, relational operators, logical operators and logical expressions, control statements and loop statements, arrays should be introduced to the students.
Note: Use of Scientific calculator is allowed.
Numerical Analysis (with practical)
Semester-V | Total Marks: 100 (External: 45, Practical: 25, Internal: 30) | Credits: 4 (Theory: 3, Practical: 1)
Paper Code: MAT0500304MJ
THEORY UNITS
UNIT 1
25 Marks
Gaussian elimination method (with row pivoting), Gauss-Jordan method; Iterative methods: Jacobi method, Gauss-Seidel method; Interpolation: Lagrange form, Newton form, Finite difference operators, Gregory-Newton forward and backward difference interpolations, Piecewise polynomial interpolation (Linear and Quadratic).
[1] Chapter 3 (Sections 3.1, 3.2), Chapter 6 (Sections 6.1, 6.2), Chapter 8 (Section 8.1, Section 8.3 (8.3.1 and 8.3.2)), Chapter 18 (Sections 18.1 to 18.3)
[2] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
[2] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
UNIT 2
20 Marks
Numerical differentiation: First and second order derivatives; Numerical integration: Trapezoid rule, Simpson's rule; Extrapolation methods: Richardson extrapolation, Romberg integration; Numerical solutions of ODE: Euler's method, Modified Euler's methods.
[1] Chapter 22 (Sections 22.1, 22.2, 22.3)
[2] Chapter 11 [Sections 11.1 (11.1.1, 11.1.2, 11.1.4), and 11.2 (11.2.1, 11.2.2, 11.2.4)]
[2] Chapter 11 [Sections 11.1 (11.1.1, 11.1.2, 11.1.4), and 11.2 (11.2.1, 11.2.2, 11.2.4)]
Practical / Lab work to be performed on a computer
25 Marks
Use of computer aided software (CAS), for example Matlab/Mathematica/Maple, etc., for developing the following numerical programs:
- Lagrange's interpolation method
- Newton's interpolation method
- To calculate forward and backward differences
- Trapezoidal rule
- Simpson's rule
Note: For any of the CAS Matlab/Mathematica/Maple etc., Data types-simple data types, floating data types, character data types, arithmetic operators and operator precedence, variables and constant declarations, expressions, input/output, relational operators, logical operators and logical expressions, control statements and loop statements, arrays should be introduced to the students.
Note: Use of Scientific calculator is allowed.
NEW
Choose any one paper for other Major students and any two or three paper for only minor students
Multivariate Calculus (Minor)
SEMESTER-V | Total Marks: 100 (External 60, Internal 40) | No. of Credits: 4
Paper Code: MAT0500104MN
THEORY UNITS
UNIT 1
15 Marks
Functions of several variables, Level curves and surfaces, Limits and continuity, Partial differentiation, Higher order partial derivative, Chain rule, Directional derivatives, The gradient, Maximal property of the gradient.
[1] Chapter 13
UNIT 2
15 Marks
Extrema of functions of two variables, Method of Lagrange multipliers, Constrained optimization problems; Definition of vector field, Divergence and curl.
[1] Chapter 13
UNIT 3
15 Marks
Double integration over rectangular and nonrectangular regions, Double integrals in polar coordinates, Triple integral over a parallelepiped and solid regions, Volume by triple integrals.
[1] Chapter 14
UNIT 4
15 Marks
Line integrals, Applications of line integrals: Mass and Work, Fundamental theorem for line integrals, Conservative vector fields, Green's theorem, Area as a line integral; Surface integrals, Stokes' theorem, The Gauss divergence theorem.
[1] Chapter 15
Note: Use of Scientific calculator is allowed.
NEW
Choose any one paper for other Major students and any two or three paper for only minor students
Multivariate Calculus (Minor)
SEMESTER-V | Total Marks: 100 (External 60, Internal 40) | No. of Credits: 4
Paper Code: MAT0500104MN
THEORY UNITS
UNIT 1
15 Marks
Functions of several variables, Level curves and surfaces, Limits and continuity, Partial differentiation, Higher order partial derivative, Chain rule, Directional derivatives, The gradient, Maximal property of the gradient.
[1] Chapter 13
UNIT 2
15 Marks
Extrema of functions of two variables, Method of Lagrange multipliers, Constrained optimization problems; Definition of vector field, Divergence and curl.
[1] Chapter 13
UNIT 3
15 Marks
Double integration over rectangular and nonrectangular regions, Double integrals in polar coordinates, Triple integral over a parallelepiped and solid regions, Volume by triple integrals.
[1] Chapter 14
UNIT 4
15 Marks
Line integrals, Applications of line integrals: Mass and Work, Fundamental theorem for line integrals, Conservative vector fields, Green's theorem, Area as a line integral; Surface integrals, Stokes' theorem, The Gauss divergence theorem.
[1] Chapter 15
Note: Use of Scientific calculator is allowed.
NEW
Choose any one paper for other Major students and any two or three paper for only minor students
Linear Algebra (Minor)
SEMESTER-V | Total Marks: 100 (External 60, Internal 40)
Paper Code: MAT0500204MN
THEORY UNITS
UNIT 1
15 Marks
Definition and examples of vector spaces, general properties of vector spaces, Definition and examples of subspaces, subspace criterions and algebra of subspaces, null space and column space of a matrix, Linear transformations, Kernel and range of a linear transformation.
[1] Chapter 4, [2] Chapter 4
UNIT 2
15 Marks
Linear combinations of vectors, linearly dependent and independent sets, bases of vector spaces, coordinate systems, dimension of a vector space, ranks, change of basis.
[1] Chapter 4, [2] Chapter 5
UNIT 3
15 Marks
Eigenvectors and eigenvalues of a matrix, The Characteristic equation, Diagonalization, eigenvector of a linear transformation, Complex eigenvalues. Invariant subspaces and Cayley-Hamilton Theorem.
[1] Chapter 5, [2] Chapter 9, [3] Chapter 5
UNIT 4
15 Marks
Inner products, Length and orthogonality, orthogonal sets, orthogonal projections, The Gram-Schmidt process, Inner product spaces. Bilinear and quadratic forms.
[1] Chapter 6, [2] Chapter 12
NEW
Choose any one paper for other Major students and any two or three paper for only minor students
Linear Algebra (Minor)
SEMESTER-V | Total Marks: 100 (External 60, Internal 40)
Paper Code: MAT0500204MN
THEORY UNITS
UNIT 1
15 Marks
Definition and examples of vector spaces, general properties of vector spaces, Definition and examples of subspaces, subspace criterions and algebra of subspaces, null space and column space of a matrix, Linear transformations, Kernel and range of a linear transformation.
[1] Chapter 4, [2] Chapter 4
UNIT 2
15 Marks
Linear combinations of vectors, linearly dependent and independent sets, bases of vector spaces, coordinate systems, dimension of a vector space, ranks, change of basis.
[1] Chapter 4, [2] Chapter 5
UNIT 3
15 Marks
Eigenvectors and eigenvalues of a matrix, The Characteristic equation, Diagonalization, eigenvector of a linear transformation, Complex eigenvalues. Invariant subspaces and Cayley-Hamilton Theorem.
[1] Chapter 5, [2] Chapter 9, [3] Chapter 5
UNIT 4
15 Marks
Inner products, Length and orthogonality, orthogonal sets, orthogonal projections, The Gram-Schmidt process, Inner product spaces. Bilinear and quadratic forms.
[1] Chapter 6, [2] Chapter 12
NEW
Choose any one paper for other Major students and any two or three paper for only minor students
Numerical Analysis (with practical) (Minor)
Total Marks: 100 (External 45, Practical 25, Internal 30) | No. of Credits: 4 (Theory 3, Practical 1)
Paper Code: MAT0500304MN
THEORY UNITS
UNIT 1
25 Marks
Gaussian elimination method (with row pivoting), Gauss-Jordan method; Iterative methods: Jacobi method, Gauss-Seidel method; Interpolation: Lagrange form, Newton form, Finite difference operators, Gregory-Newton forward and backward difference interpolations, Piecewise polynomial interpolation (Linear and Quadratic).
[3] Chapter 3 (Sections 3.1, 3.2), Chapter 6 (Sections 6.1, 6.2), Chapter 8 (Section 8.1, Section 8.3 (8.3.1 and 8.3.2))
[4] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
[1] Chapter 18 (Sections 18.1 to 18.3)
[4] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
[1] Chapter 18 (Sections 18.1 to 18.3)
UNIT 2
20 Marks
Numerical differentiation: First and second order derivatives; Numerical integration: Trapezoid rule, Simpson's rule; Extrapolation methods: Richardson extrapolation, Romberg integration; Numerical solutions of ODE: Euler's method, Modified Euler's methods.
[2] Chapter 11 [Sections 11.1 (11.1.1, 11.1.2, 11.1.4), and 11.2 (11.2.1, 11.2.2, 11.2.4)]
[1] Chapter 22 (Sections 22.1, 22.2, 22.3)
[1] Chapter 22 (Sections 22.1, 22.2, 22.3)
Practical / Lab work to be performed on a computer
25 Marks
Use of computer aided software (CAS), for example Matlab/Mathematica/Maple, etc., for developing the following numerical programs:
- Lagrange's interpolation method
- Newton's interpolation method
- To calculate forward and backward differences
- Trapezoidal rule
- Simpson's rule
Note: For any of the CAS Matlab/Mathematica/Maple etc., Data types-simple data types, floating data types, character data types, arithmetic operators and operator precedence, variables and constant declarations, expressions, input/output, relational operators, logical operators and logical expressions, control statements and loop statements, arrays should be introduced to the students.
Note: Use of Scientific calculator is allowed.
NEW
Choose any one paper for other Major students and any two or three paper for only minor students
Numerical Analysis (with practical) (Minor)
Total Marks: 100 (External 45, Practical 25, Internal 30) | No. of Credits: 4 (Theory 3, Practical 1)
Paper Code: MAT0500304MN
THEORY UNITS
UNIT 1
25 Marks
Gaussian elimination method (with row pivoting), Gauss-Jordan method; Iterative methods: Jacobi method, Gauss-Seidel method; Interpolation: Lagrange form, Newton form, Finite difference operators, Gregory-Newton forward and backward difference interpolations, Piecewise polynomial interpolation (Linear and Quadratic).
[3] Chapter 3 (Sections 3.1, 3.2), Chapter 6 (Sections 6.1, 6.2), Chapter 8 (Section 8.1, Section 8.3 (8.3.1 and 8.3.2))
[4] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
[1] Chapter 18 (Sections 18.1 to 18.3)
[4] Chapter 3 (Sections 3.2, 3.4), Chapter 4 (Sections 4.2, 4.3, 4.4)
[1] Chapter 18 (Sections 18.1 to 18.3)
UNIT 2
20 Marks
Numerical differentiation: First and second order derivatives; Numerical integration: Trapezoid rule, Simpson's rule; Extrapolation methods: Richardson extrapolation, Romberg integration; Numerical solutions of ODE: Euler's method, Modified Euler's methods.
[2] Chapter 11 [Sections 11.1 (11.1.1, 11.1.2, 11.1.4), and 11.2 (11.2.1, 11.2.2, 11.2.4)]
[1] Chapter 22 (Sections 22.1, 22.2, 22.3)
[1] Chapter 22 (Sections 22.1, 22.2, 22.3)
Practical / Lab work to be performed on a computer
25 Marks
Use of computer aided software (CAS), for example Matlab/Mathematica/Maple, etc., for developing the following numerical programs:
- Lagrange's interpolation method
- Newton's interpolation method
- To calculate forward and backward differences
- Trapezoidal rule
- Simpson's rule
Note: For any of the CAS Matlab/Mathematica/Maple etc., Data types-simple data types, floating data types, character data types, arithmetic operators and operator precedence, variables and constant declarations, expressions, input/output, relational operators, logical operators and logical expressions, control statements and loop statements, arrays should be introduced to the students.
Note: Use of Scientific calculator is allowed.