- Full two-year syllabus till May 2027
- Can also opt for Intermedidate 2nd year Maths only (6 months)
- Can also opt for EAMCET
- Can also opt for JEE Mains + Advanced
- Doubt clarification
- Functions: Types of functions, domain, range, inverse functions.
- Mathematical Induction: Applications of the principle of mathematical induction.
- Matrices & Determinants: Matrix addition, multiplication, adjoint/inverse of a matrix, Cramer's rule, and Gauss-Jordan method.
- Vector Algebra:
Addition of vectors, classification, scalar/dot product, and vector/cross product.
- Trigonometry: Trigonometric ratios up to transformations, hyperbolic functions, inverse trigonometric functions, and properties of triangles.
- Coordinate Geometry: Locus, transformation of axes, slope of a line, various forms of straight lines, angle between lines, pair of straight lines.
- 3D Geometry & Planes: Coordinates in 3D space, planes, and distance between points.
- Calculus: Limits and continuity, differentiation, and applications of derivatives (tangents/normals, maxima/minima).
- Complex Numbers: Ordered pairs,
form, modulus, amplitude, argand diagram.
- De Moivre’s Theorem: Integral/Rational indices, roots of unity.
- Quadratic Expressions: Sign, maximum/minimum values, quadratic inequalities.
- Theory of Equations:
Relation between roots and coefficients, transformation of equations.
- Permutations and Combinations: Fundamental principles, linear/circular permutations.
- Binomial Theorem: Rational indices, approximations.
- Partial Fractions: Resolving functions.
- Probability: Classical definition, addition theorem, independent/dependent events.
- Random Variables & Probability Distributions: Mean, variance, Poisson/Binomial distributions.
- Circle: Equations, tangents, normals, chords, poles, and polars.
- System of Circles: Angle between circles, radical axis.
- Parabola: Standard forms, properties, tangents, normals.
- Ellipse/Hyperbola: Standard forms, properties, asymptotes.
- Integration: Standard integrals, integration by parts, substitution.
- Definite Integrals: Properties, areas, limits.
- Differential Equations: Order, degree, linear/homogeneous equations.
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