CLASS XII-MATHS-TITLE 1
Relations & Functions, Inverse Trigonometric Functions
1. Sets 2. Cartesian product 3. Types of relations 4. Relations 5. Types of functions 6. Example – I 7. Example – II 8. Functions 9. Example – III 10. Example – IV 11. Example – V 12. Example – VI 13. Inverse of a Function 14. Example – VII 15. Binary operations 16. Types of binary operations 17. Identity elements 18. Invertible elements 19. Basic concepts 20. Graph of sin x 21. Properties of inverse trigonometric functions 22. Example – I 23. Example – II 24. Example – III
CLASS XII-MATHS-TITLE 2
Matrices, Determinants
1. Angles 2. Measurement of angles 3. Circular system 4. Example of circular system 5. Trigonometric functions 6. Application on trigonometric functions 7. Sign of trigonometric functions 8. Examples 9. Graphs of trigonometric functions 10. Trigonometric ratios of compound angles
CLASS XII-MATHS-TITLE 3
Continuity & Differentiability
1. Angles 2. Measurement of angles 3. Circular system 4. Example of circular system 5. Trigonometric functions 6. Applications on Trigonometric functions 7. Value of Trigonometric ratios – for different quadrants 8. Different sign – Trigonometric ratio – different questions 9. Reasons for the sign of Trigonometric functions 10. Negative angle in Trigonometry 11. Example 12. Example 13. Example 14. Graph of Trigonometric functions – 1 15. Graph of Trigonometric functions – 2
CLASS XII-MATHS-TITLE 4
Applications of Derivatives
1. Transformation formulae – 1 2. Transformation formulae – 2 3. Trigonometric rations of multiple and sub multiple angles 4. Trigonometric rations of multiple and sub multiple angles 5. Examples 6. Trigonometric equations and examples
CLASS XII-MATHS-TITLE 5
Integrals- I
1. Principle of mathematical induction 2. Example – I 3. Example – II 4. Example – III 5. Complex numbers 6. Conjugate of Complex numbers 7. Modulus of Complex numbers 8. Argument of Complex numbers 9. Example on argument of Complex numbers 10. Multiplicative inverse of Complex numbers 11. Polar form of Complex numbers 12. Example on polar form of Complex numbers 13. Example – I 14. Example – II 15. Example – III 16. Example – IV 17. Inequalities 18. Example – I 19. Example – II 20. Example – III 21. Example – IV
CLASS XII-MATHS-TITLE 6
Integrals – Part II
1. Combinations 2. Examples of Permutation 3. Permutation 4. Permutation when objects are not distinct 5. Applications 6. Examples of Circular Permutations 7. Fundamental Principle of Addition and Multiplication 8. Examples of Combinations 9. Word Problem 10. Introduction 11. Pascal’s Triangle 12. Example-I 13. Example - II 14. Example-III 15. Application of General& Middle Terms 16. General& Middle Terms 17. Applications of Pascal’s Triangle 18. Binomial Theorem
CLASS XII-MATHS-TITLE 7
Applications of Integrals, Differential Equations
1. Sequences 2. Arithmetic progression 3. Examples of arithmetic progression 4. Insertion of arithmetic means 5. Examples on Insertion of arithmetic means 6. Geometric progression 7. Examples on Geometric progression 8. Finding sum of ‘n’ terms in G.P 9. Examples on sum of ‘n’ terms in G.P 10. Geometric mean 11. Special sequences 12. Example – I 13. Example - II 14. Example - III 15. Example - IV 16. Example - V
CLASS XII-MATHS-TITLE 8
Vector
1. Slope of a line 2. Angle between two lines 3. Equation of a line 4. One – point form 5. Two – point form 6. Intercept point 7. Normal form 8. Slope – intercept form 9. Examples 10. Distance of a point from a line
CLASS XII-MATHS-TITLE 9
Three Dimensional Geometry, Linear Programming
1. Conic section 2. Circles 3. Parabola 4. Examples 5. Ellipse 6. Examples 7. Hyperbola 8. Examples 9. Introductions to three dimensional geometry 10. Distance formula 11. Section formula 12. Example – use of distance formula 13. Example 14. Example - section formula
CLASS XII-MATHS-TITLE 10
Probability
1. Limits 2. Example – I 3. Example – II 4. Theorem 2 5. Example – III 6. Example – IV 7. Limits of trigonometric functions 8. Derivatives 9. Example – V 10. Formulae of derivatives 11. Example – VI 12. Statistics – basic concepts 13. Mean deviation 14. Mean deviation about the median 15. Variance & standard deviation 16. Probability – basic concepts 17. Results of probability 18. Example – I 19. Example – II
