# NBHM Syllabus 2021

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The National Board for Higher Mathematics (NBHM) undertakes various activities to identify and nurture talent among students, supports studies at various levels through scholarships and fellowships, etc. NBHM also has a series of programs to train students in mathematics.

NBHM usually Conducted twice a year, to discuss its programs and various proposals received from its board members as well as from mathematicians all over the country. It has six sub-committees, namely the Research Program = s Committee, the University Programs Committee, the Mathematics Olympiad Programs Committee, Nurture Program = s Committee, Examinations Committee, and Library Grants Committee.

NBHM grants postdoctoral fellowships, Ph. D. scholarships, M. A. /M. Sc. scholarships for research/education in mathematics.

There will be 3 sections question;

- Algebra
- Analysis
- Geometric
- Section A: Algebra
- Polynomial՚s
- Abstract algebra
- Binary operations
- Sets theory

- Matrix Theory
- Rings and Fields
- Groups Algebra

- Section B: Analysis
- Real Analysis
- Sequence and limits
- Series
- Matric Spaces

- Functional Analysis
- Maxima and minima
- Continues function
- Defining a function
- Differential function

- Complex Analysis
- Poles and Residues
- Polar coordinates

- Real Analysis
- Section C: Geometric
- Algebraic geometry
- Cartesian coordinates
- Polar coordinates

- Plane algebraic curves
- Cubic curves
- Lines
- Circles
- 3d Shapes
- Ellipse
- Elliptical curves
- Etc.

- Algebraic geometry

- Section A: Algebra