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BU DSE-1- Question 2024 [theory] - Model solution for DSE-1-paper-2024
Practical Question 2024 [click here]
Internal Assessment Question 2024 [click here] [Solution]
BU Sem-5-Hons-DSE-1-Question-Paper-2023 /Theory-Answer-Key-2023/ Practical Question-2023
BU DSE-1-Theory Question 2022 [Solution of DSE-1-2022] [Hons DSE-1- Practical Question 2022]
BU question 2021 for DSE-1 [Here is the solution]
BU Question 2020 for DSE 1 (Sem 5) (Advanced Math) [Solution of 2020 Question paper-DSE-1]
Burdwan University Sem 5 Hons DSE 1 Question Paper 2019. [Solution for 2019-DSE-1-Question paper]
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Sem-5 (Honours) July-Dec-2019
Linear Vector Spaces: Abstract Systems. Binary Operations and Relations. Introduction to Groups and Fields. Vector Spaces and Subspaces. Linear Independence and Dependence of Vectors. Basis and Dimensions of a Vector Space. Change of basis. Homomorphism and Isomorphism of Vector Spaces. Linear Transformations. Algebra of Linear Transformations. Non-singular Transformations. Representation of Linear Transformations by Matrices. [ Home Work 1 (from Vectors) ]
Matrices: Addition and Multiplication of Matrices. Null Matrices. Diagonal, Scalar and Unit Matrices. Upper-Triangular and Lower-Triangular Matrices. Transpose of a Matrix. Symmetric and Skew-Symmetric Matrices. Conjugate of a Matrix. Hermitian and Skew- Hermitian Matrices. Singular and Non- Singular matrices. Orthogonal and Unitary Matrices. Trace of a Matrix. Inner Product. [ Home Work 2 (Matrices)]
Eigenvalues and Eigenvectors. Cayley-Hamiliton Theorem. Diagonalization of Matrices. Solutions of Coupled Linear Ordinary Differential Equations. Functions of a Matrix. Internal Assessment 1 [with answers]
Cartesian Tensors: Transformation of Co-ordinates. Einstein’s Summation Convention. Relation between Direction Cosines. Tensors. Algebra of Tensors. Sum, Difference and Product of Two Tensors. Contraction. Quotient Law of Tensors. Symmetric and Anti- symmetric Tensors. Invariant Tensors : Kronecker and Alternating Tensors. Association of Antisymmetric Tensor of Order Two and Vectors. Vector Algebra and Calculus using Cartesian Tensors: Scalar and Vector Products, Scalar and Vector Triple Products. Differentiation. Gradient, Divergence and Curl of Tensor Fields. Vector Identities. Tensorial Formulation of Analytical Solid Geometry : Equation of a Line. Angle Between Lines. Projection of a Line on another Line. Condition for Two Lines to be Coplanar. Foot of the Perpendicular from a Point on a Line. Rotation Tensor (No Derivation). Isotropic Tensors. Tensorial Character of Physical Quantities. Moment of Inertia Tensor. Stress and Strain Tensors: Symmetric Nature. Elasticity Tensor. Generalized Hooke’s Law. (20 lectures) [ Home Work-3 (Tensor) ] [Internal Assessment Question]
General Tensors: Transformation of Co-ordinates. Minkowski Space. Contravariant & Covariant Vectors. Contravariant, Covariant and Mixed Tensors. Kronecker Delta and Permutation Tensors. Algebra of Tensors. Sum, Difference & Product of Two Tensors. Contraction. Quotient Law of Tensors. Symmetric and Anti-symmetric Tensors. Metric Tensor.
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Notes on DSE-1: Advanced Mathematical Physics: for SEM-5-Hons (CBCS - Burdwan University)
SCILAB LECTURE NOTES ON DSE 1