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Optional Mathematics ( Additional Mathematics) all notes A to Z Grade 10 ( SEE)

All definitions and notes of chapters of Optional/ Additional Mathematics.

Optional Math notes-10

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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