Mathematics syllabus
UPESSC PGT · Mathematics
Part A — Pedagogy / teaching aptitude
Pedagogy
Teaching aptitude focuses
- Child development foundations
- Piaget cognitive development
- Vygotsky social constructivism
- Behaviourist learning theories
- Bloom taxonomy and lesson planning
- Teaching methods
- Assessment and evaluation
- Classroom management
- Inclusive education
- Motivation and interest
- Guidance and counselling
- Teaching aids and classroom ICT
- NEP 2020
- RTE Act 2009
Part B — Subject knowledge (Mathematics)
Mathematics
Undergraduate mathematics
- Sets relations functions
- Complex numbers
- Matrices
- Determinants
- Permutations and combinations
- Binomial theorem
- Sequences and series
- Limits and continuity
- Differentiation
- Applications of derivatives
- Integration
- Applications of integrals
- Differential equations
- Vector algebra
- Three-dimensional geometry
- Linear programming
- Probability
- Trigonometry
- Coordinate geometry
- Statistics