Quantitative Aptitude & Higher Mathematics
Rigorous mathematical training covering foundational discrete concepts, coordinate geometry, higher-level combinatorics, probability distributions, matrices, and linear algebra.
Discrete Mathematics & Number Systems
- Set theory operations, relations, functions, and equivalence classes
- Divisibility properties, modular arithmetic, remainders, and prime factorization
- Progressions & series: Arithmetic, geometric, harmonic progressions, and telescoping summation
- Mental arithmetic, percentage-fraction conversions, and speed estimation models
Coordinate Geometry & Conic Sections
- Straight lines: Slope equations, perpendicular distance, concurrency, and locus problems
- Circles: Standard and general forms, chords, tangents, and intersections
- Conic sections: Parabolas, ellipses, and hyperbolas standard equations and properties
- Spatial geometry transformations and vector representations in 2D and 3D
Combinatorics & Binomial Theorem
- Fundamental counting principles, permutations with restrictions, and circular permutations
- Combinations with repetition, grid-path counting, and inclusion-exclusion principle
- Binomial theorem: General term expansions, middle terms, and coefficient property applications
- Derangements, partition numbers, and combinatorial identity derivations
Probability Theory & Distributions
- Sample spaces, independent events, mutually exclusive events, and probability axioms
- Conditional probability, multiplication theorem, and law of total probability
- Bayes Theorem applications in computing and inference scenarios
- Binomial distributions, random variables, expected value, and variance
Matrices, Determinants & Linear Algebra
- Matrix algebra: Multiplication, transpose, symmetric/skew-symmetric matrices, and orthogonality
- Determinant properties, cofactor expansions, adjoints, and matrix inversion techniques
- System of linear equations: Cramer’s rule, rank consistency, and solution space analysis
- Calculus foundations: Limits, continuity, derivatives, and definite integral applications

