NBHM Ph.D. 2022 Syllabus Since this is a Ph.D. Course, the sy | CSIR NET Mathematics

NBHM Ph.D. 2022 Syllabus

Since this is a Ph.D. Course, the syllabus is not well structured and predefined,
The question paper is divided into three sections. (This is Analysed from PYQ)

Section A: Algebra Syllabus

Abstract Algebra
Set Theory
Binary Operations
Matrix Theory
Groups Algebra
Rings and Fields
Polynomials (Calculus, Matrix Polynomials, Roots)

Section B: Analysis Syllabus

Complex Analysis Syllabus
Polar Coordinates
Poles and Residues

Real Analysis Syllabus
Sequence and Limits
Metric Spaces
Series (Infinite Series Expansion, Taylor Series Expansion)

Functional Analysis Syllabus
Continuous Function
Maxima and Minima
Differential Function
Defining Function

Section C: Geometry Syllabus
(contains mainly two sub-topics.)

Plane Algebraic Syllabus
Line
Circle
Ellipses
Elliptical Curve
Cubic Curves
Spheres (3D Shapes)

Algebraic Geometry Syllabus
Polar Coordinates.
Cartesian Coordinates.

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