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UNIT 1: ALGEBRA
1. Algebraic functions 2. Trigonometric function. 3. Composite functions 4. Inverse function
5. Division of polynomials 6. Synthetic division 8. Factor theorem 9. Polynomial equation
10. Arithmetic sequence and series 11. Arithmetic means 12. Some of the arithmetic series
13. Geometric sequence and series 14. Geometric mean 15. Some of the geometric series 16. System of linear inequalities 17. Maximization and minimization
18. Quadratic equation and its graph 19. Solution of linear and quadratic equations
UNIT II: LIMIT AND CONTINUITY
1. Numbers and continuity 2. Discontinuity in graph 3. Notational representation of continuity
UNIT III: MATRIX
1. Determinant 2. Inverse matrix 3. Solution of a system of linear equations 4. Cramer's rule
UNIT IV: COORDINATE GEOMETRY
1. Angle between two lines 2. Pair of straight lines 3. Conic section 4. Circle
UNIT V: TRIGONOMETRY
1. Multiple angles 2. Sub multiple angles 3. Transformation of trigonometric ratios
4. Conditional trigonometric identities 5. Solution of trigonometric equation
6. Height and distance
UNIT VI: VECTOR
1. Scalar product of vectors 2. Vector geometry 3. Theorems related to triangle
4. Theorems on quadrilateral & semicircle
UNIT VII: TRANSFORMATION
1. Combination of transformation 2. Inversion transformation and inversion circle
3. Transformations using matrices
UNIT VIII: STATISTICS
1. Quartile deviation and its coefficient 2. Mean deviation 3. Standard deviation
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