View 48 Lectures- 39.5 hrs on JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics

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1. Sets: Definition, Types, Power Set and Subset 36 mins
2. Sets: Operations, De Morgan՚s Law, Distributive Property 43 mins
3. Sets and Relations: Types, Equivalence and Periodic Function 50 mins
4. Functions: Domain, Range, Arrow Diagrams 36 mins
5. Functions: Range, Vertical Line Test, Graph 26 mins
6. Functions: Piecewise Functions, Absolute Value Function 37 mins
7. Greatest Integer Function, Increasing & Decreasing Functions, Even & Odd Functions 41 mins
8. Linear Functions, Power Functions 33 mins
9. Graphs of Common Functions: Polynomial, Rational, Exponential, Logarithmic, Illustrative 53 mins
10. Algebraic Operations with Functions; Composite Functions; Illustrative Problems 42 mins
11. Sets, Relations and Functions: Numericals 36 mins
12. Complex Numbers: Parts, Properties, Algebra 58 mins
13. Complex Numbers: Identities, Square Root 57 mins
14. Conjugate of a Complex Number, Modulus of a Complex Number, Basic Properties 1h : 0m
15. Geometrical Representation of Complex Number, Negative of Complex Number, Conjugate, Polar Form, Argument 59 mins
16. Modulus and Argument, Polar Form, Cube Root of Unity 1h : 0m
17. Quadratic Equations, Nature of Roots 1h : 0m
18. Complex Numbers: Quadratic Equation with Complex Cofficients 1h : 3m
19. Complex Numbers: Basic Problems 44 mins
20. Permutation and Combination: Meaning, Principles of Counting 1h : 4m
21. Difference between Permutations & Combinations, Factorial Notation 55 mins
22. Restricted Permutations, Practical Problems on Permutations. 45 mins
23. Practical Problems on Permutations, Dictionary Problems. 42 mins
24. Permutations with Repetitions and Questions 25 mins
25. Permutations of Objects Not All Different; Questions 40 mins
26. Circular Permutations, Clockwise & Anti Clockwise Arrangements 35 mins
27. Introduction to Combinations 41 mins
28. Practical Problems on Combinations 38 mins
29. More Practical Problems on Combinations 41 mins
30. Meaning of Binomial, Pascal՚s Triangle, Binomial Expansion 53 mins
31. Binomial Theorem: Some Important Questions 1h : 0m
32. Binomial Theorem: General Term, Mid Term 49 mins
33. Binomial Theorem: Mid Terms and Greatest Term 51 mins
34. Multinomial Theorem: Important Results & Questions 55 mins
35. Angles and Measurement; Trigonometric Ratios 43 mins
36. Trigonometric Functions: Graphs, Angles and Questions 51 mins
37. Multiple and Half Angle Formulas, Sum of Angles Formula, Questions Based on Them 50 mins
38. Multiple & Triple Angle Formula, Some Results, Maximum & Minimum Values of Trigonometric Functions, Question Based on Them 51 mins
39. Trigonometry: Transformation Formula, C-D Formula, Sum into Product & Product into Sum, Questions 53 mins
40. Transformation Formula, Two Trigonometric Series, Conditional Identities 52 mins
41. Trigonometric Equations: Some Results 56 mins
42. Trigonometric Inequations, Solution of Triangles, Sine Rule Questions 56 mins
43. Cosine Rule, Napier՚s Analogy, Area of Triangle 55 mins
44. Inverse Trigonometric Functions, Graphs, Domain, Range 55 mins
45. Inverse Trigonometric Function Properties, Questions 57 mins
46. Inverse Trigonometric Functions, Properties, Conversion Properties 58 mins
47. Inverse Trigonometric Function, Question Based on Properties, Solution of Equations 1h : 0m
48. Inverse Trigonometric Function: Questions 56 mins