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Curriculum | B.Sc (Non- Medical) | Title Real and Complex Analysis (Code 09010601)

Title Real and Complex Analysis (Code 09010601)

S.N Unit Content Learning Objective Teaching Guidelines Methodology Time (Hrs)
1 One ·      Jacobians, Beta and Gama functions.

·      Double and Triple integrals.

·      Dirichlets integrals,

·      Change of order of integration in double integrals.

·      Fourier expentionof piecewise monotonic functions.

·      Properties of Fourier Co-efficient,

·      Dirichlets conditions, Parseval’s identity for Fourier series.

·       Fourier series for odd and even functions.

·      Half range series,change of intervals.

Study of Jacobians, Double and Triple integrals, and Fourier Series Lecture should be so effective so that the students can grasp the topic easily Lecture

Seminar

Discussion

Assignments

Seminar

Class Tests

15
2 Two ·      Extended Complex plane.

·      Stereographic projection of complex numbers.

·      Continuity and differentiability of complex functions.

·      Analytic functions, Cauchy –Riemann equations.

·      Harmonic functions.

Study of Extended Complex plane Lecture should be so effective so that the students can grasp the topic easily Lecture

Seminar

Discussion

Assignments

Seminar

Class Tests

15
3 Three ·      Mapping by elementary functions,

·      Translation. rotation, Magnification and Inversion.

·      Conformal mappings

·      Mobius transformations

·      Fixed points, Cross ratio, inverse Point and critical mappings

Study of Mapping by elementary functions Lecture should be so effective so that the students can grasp the topic easily Lecture

Seminar

Discussion

Assignments

Seminar

Class Tests

15

 

Admission 2017