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. A. L Combined Math's. Syllabus English Medium 1. Analysis the system of real number. 2. Analysis single variable functions. 3. Analysis quadratic functions. 4. Manipulates polynomial functions. 5. Functions and polynormal. 6. Manipulate index laws and logarithmical laws. 7. Solves inequalities involving real numbers. 8. Uses relations involving angular measures. 9. Interprets trigonometric functions. 10. Manipulates trigonometric Identities. 11. Applies sine rule and cosine rule to solve problems 12. Solves problems involving inverse trigonometric functions. 13. Determines the list of a function. - Combined Mathematics 14. Differentiates functions using suitable methods. 15. Analysis the behavior of functions using derivatives. 16. Find indefinite integral’s of functions. 17. Uses the rectangular system of Cartesian axes and geometrical results. 18. Investigates the straight line in terms of cartersial co-ordiuates. 19. Applies the principle of mathematical induction as a type of proof for mathematical results. 20. Finds the sum of finite series. 21. Investigates infinite series. 22. Explores the binomial expansion for positive integral indices. 23. Interprets the system of complex numbers. 24. Uses permutation and combination as mathematical models for counting. 25. Manipulates matrices. 26. Interprets the Cartesian equation of circles. 27. Explores propertied of circles