| Mathematics |
- Set Theory and its Applications
- Union, Intersection, Difference, Complement, Power Set, Number of elements in Union and
- Intersection of finite sets
- Relations and Functions
- Reflexive, Symmetric, transitive and equivalence relations
- Injective, Subjective, objective functions
- Inverse of a function
- Number System
- Natural Numbers, Integers,
- Rational and irrational numbers, Real numbers
- Absolute values of numbers
- Triangle inequality
- Quadratic and linear equations
- Fundamental theorem of algebra, Roots, Discriminates, Nature of roots, relation between roots
- and coefficients
- Calculus of one variable
- Limit, Continuity, derivative, Tangent, Normal, increasing and decreasing functions
- Integrals
- Methods of Integration, Integrals of some particular functions, Integration by partial fractions, Integration by parts, Definite integrals
- Sequence and series
- AP and GP, Monotonic sequence, Exponential series, Logarithmic series, Taylor’s series,
- Maclaurin’s series
- Coordinate geometry
- Distance formula, section formula, Area of a triangle, Locus and its equation, Locus and its equation, Straight line, circle, conic section
- Analytical solid geometry
- Plane, straight line, sphere,
- Probability
- Trial, Sample point, sample space, Event, Addition theorem, Binomial distribution
Trigonometry
- Angle associated with 90, 180, 270, 360 compounded angle formula, Submultiple angle formula, Trigonometry equations, Inverse trigonometry functions, Inverse trigonometry functions, Height and Distance
- Mensuration
- Circumference of a circle, Length of the arc of a circle, Area of a circle, Sector and segment, Area of a circle annulus, Area of a sectional region, Area of segment, Surface area and volume of a prism, Right circular cylinder, Cone and sphere
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