Magadh University physics honours 1st year sllaybus chahiye

Hello Sumit,

Paper Code: PH31011T Marks: 100

Module A: Mathematical Methods I

Course objective: To develop the foundations of vector calculus in three dimensions, using

Cartesian coordinates. The techniques learnt in this module is a basic requirement for all learners

taking up the study of physics at an advanced level. Students are exposed to the use of computers

to aid in the visualization of the concepts learnt in the module. After undergoing this course, the

student is expected to

(1) Be able to formulate and solve advanced problems which yield to the techniques of

vector algebra.

(2) Understand how transformation laws are formulated using matrices and acquire an

elementary notion of symmetries associated with the transformations.

(3) Develop facilities in application of the ideas of vector algebra and vector functions to the

study of two and three dimensional curves and surfaces.

(4) Understand the notion of vector differential operators and their physical content.

(5) Learn and make use of suffix notation in the identities of vector algebra and calculus.

(6) Understanding heuristic proofs of integral theorems of vector calculus and their simple

applications.

Syllabus: Brief review of the elementary notions of vector algebra including and up to the notion

of cross products. Transformation of vectors: Active vs. Passive viewpoints, orthogonal

transformations: Rotation, Inversion and Mirror reflection, True and Pseudo scalars and vectors,

Parity, Vector Calculus: Differentiation and integration of vectors, application of vectors to the

study of lines and surfaces. [10 lectures]

The use of Tensor notation for the representation of various products, the epsilon-delta rule and

its use for the validation of vector identities. (Tensor notation should be used only as an aide for

formal manipulation of vector identities). [4 lectures]

Representation of spatially varying physical quantities by Fields and the ideas of Gradient,

Divergence and Curl, Product rules, The Integral theorems of Gauss, Green and Stokes (heuristic

proof only), Evaluation of Line, Surface And Volume Integral of Fields in Cartesian Systems.