HP PGT Mathematics Commission Syllabus

Himachal Pradesh Public Service Commission (HPPSC) Post Graduate Teacher (PGT) Mathematics Commission Syllabus

HP PGT Mathematics Commission Syllabus : The Himachal Pradesh Public Service Commission conducts examinations for the recruitment of Post Graduate Teachers (PGT) in Mathematics, aiming to select proficient educators in the field. The syllabus for the PGT Mathematics Commission exam encompasses various mathematical topics to assess the candidates’ knowledge and teaching capabilities. Here is a detailed overview of the syllabus:

1. Real Analysis:

• Sequences and series
• Limits and continuity
• Differentiation and integration
• Convergence and divergence of sequences and series

2. Algebra:

• Sets, relations, and functions
• Groups, rings, and fields
• Matrices and determinants
• Linear algebra

3. Calculus:

• Differential equations
• Applications of derivatives and integrals
• Multiple integrals
• Vector calculus

4. Number Theory:

• Divisibility and congruences
• Prime numbers
• Diophantine equations
• Number-theoretic functions

5. Geometry:

• Euclidean geometry
• Coordinate geometry
• Differential geometry
• Transformation geometry

6. Mathematical Logic:

• Propositional and predicate logic
• Mathematical reasoning
• Boolean algebra
• Set theory

7. Probability and Statistics:

• Probability distributions
• Statistical inference
• Hypothesis testing
• Regression and correlation

8. Numerical Analysis:

• Approximation and errors
• Interpolation and extrapolation
• Numerical methods for solving equations
• Finite differences

9. Differential Equations:

• Ordinary differential equations
• Partial differential equations
• Boundary value problems
• Laplace transforms

10. Teaching Aptitude and Methodology:

• Principles of teaching mathematics
• Classroom management
• Pedagogical approaches
• Assessment and evaluation techniques

Candidates preparing for the HPPSC PGT Mathematics Commission exam are advised to thoroughly study each topic mentioned in the syllabus. It is crucial to have a strong foundation in mathematical concepts and their applications. Regular practice with mathematical problem-solving and exposure to various teaching methodologies will contribute to success in the examination. Aspirants are also encouraged to solve previous years’ question papers and engage in mock tests to enhance their time management skills. Best wishes to all candidates for a successful preparation and performance in the examination!