Engineering Mathematics II

1. Calculus of several variables-Partial Derivatives-Definition 8 Minutes _Free

2. Partial Derivatives Of Higher Order 9 Minutes _Free

3. Exercise-1-Q.N.1-I&III solved 14 Minutes

4. Exercise-1-Q.N.1-IV done 6 Minutes

5. Exercise-1-Q.N.2-I solved 6 Minutes

6. Exercise-1-Q.N.2-II solved 10 Minutes

7. Exercise-1-Q.N.2-III done 17 Minutes

8. Exercise-1-Q.N.3-I solved 10 Minutes

9. Exercise-1-Q.N.3-III solved 12 Minutes

10. Exercise-1-Q.N.4-I done 8 Minutes

11. Exercise-1-Q.n.4-II solved 16 Minutes

12. Exercise-1-Q.N.4-III done 4 Minutes

13. Exercise-1-Q.N.5-I &II done 14 Minutes

14. Exercise-1-Q.N.5-IV done 8 Minutes

15. Exercise-1-Q.N.6-I done 4 Minutes

16. Exercise-1-Q.n.7-I &II done 8 Minutes

17. Exercise-1-Q.N.8 done 14 Minutes

18. Homogeneous Functions-Definition 7 Minutes

19. Euler Theorem 9 Minutes

20. Euler Theorem, Total Differential Cofficient,Increment-Definitions 12 Minutes

21. Exercise-2-Q.N.1-I done 7 Minutes

22. Exercise-2-Q.N.1-II done 9 Minutes

23. Exercise-2-Q.N.1-IV done 6 Minutes

24. Exercise-2-Q.N.1-VI done 8 Minutes

25. Exercise-2-Q.N.2-I &III done 13 Minutes

26. Exercise-2-Q.N.2.V &VII done 15 Minutes

27. Exercise-2-Q.N.3-I &III done 12 Minutes

28. Exercise-2-Q.N.3-VII & Q.N.4-I &III done 12 Minutes

29. Exercise-2-Q.N.5-I & 6 done 16 Minutes

30. Exercise-2-Q.N.9 solved 10 Minutes

31. Maxima &Minima-Defintions & Conditions 15 Minutes

32. Exercise-3-Q.N.1-I done_1 15 Minutes

33. Exercise-3-Q.N.1-III solved 15 Minutes

34. Exercise-3-Q.N.1-IV solved 16 Minutes

35. Exercise-3-Q.N.1-VIII solved 8 Minutes

36. Exercise-3-Q.N.2-I solved 13 Minutes

37. Exercise-3-Q.N.2-III solved 9 Minutes

38. Exercise-3-Q.N.2-V solved 8 Minutes

39. Exercise-3-Q.N.3-I solved 7 Minutes

40. Exercise-3-Q.N.4 solved 9 Minutes

41. Exercise-3-Q.N.6 done 14 Minutes

42. Exercise-3-Q.N.9 solved 14 Minutes

43. Exercise-3-Q.N.10 solved 12 Minutes

1.Chapter-2-Multiple Integra-double integral-Definition 16 Minutes

2.Concept &Properties of double integral 10 Minutes

3.Exercise-4-Q.N.1-I done 6 Minutes

4.Exercise-4-Q.N.-1-III solved 10 Minutes

5.Exercise-4-Q.N.1-V solved 11 Minutes

6.Exercise-4-Q.N.1-X solved 7 Minutes

7.Exercise-4-Q.N.2 solved 23 Minutes

8.Exercise-4-Q.N.3 solved 10 Minutes

9.Exercise-4-Q.N.6 done 11 Minutes

10.Exercise-4-Q,N,8 done 10 Minutes

11.Exercise-4-Q.N.9 solved 10 Minutes

12.Exercise-4-Q.N.11-I &III done 9 Minutes

13.Change of order of integration 6 Minutes

14.Exercise-5-Q.N.1.I done 21 Minutes

15.Exercise-5-Q.N1-III solved 25 Minutes

16.Exercise-5-Q.N.1-VI solved 11 Minutes

17.Exercise-5-Q.N.1-VIII solved 11 Minutes

18.Exercise-5-Q.N.1.-IX done 9 Minutes

19.Exercise-5-Q.N.2-II done 12 Minutes

20.Exercise-5-Q.N.2-III solved 12 Minutes

21.Exercise-5-Q.N.2-V solved 12 Minutes

22.Exercise-5-Q.N.2-VII solved 12 Minutes

23.exercise-5-Q.N.2.-X done 10 Minutes

24.Triple Integral-Definition 12 Minutes

25.Cylindrical Coordinate &Spherical Polar Coordinate 7 Minutes

26.Diritchlets Integral-Statement & Proof 14 Minutes

27.Dec-2 Exercise-6 Q.N.1 done 8 Minutes

28.Exercise-6 Q.N.3 done 12 Minutes

29.Exercise-6 Q.N.6 13 Minutes

30.Exercise-6-Q.N.8 solved 11 Minutes

31.Exercise-6-Q.N.9 solved 11 Minutes

32.Exercise-6-Q.N.10 solved 8 Minutes

33.Application of double and triple integral- General Discussion and Formulae 14 Minutes

34.Exercise-7-QN-1 solved 11 Minutes

35.Exercise-7 Q.N.3 15 Minutes

36.Exercise-7-Q.N.7 solved 12 Minutes

37.Exercise-7-Q.N.8 solved 15 Minutes

38.Exercise-7-Q.N.10 solved 15 Minutes

39.Exercise-7-Q.N.12 solved 11 Minutes

40.Exercise-7 Q.N.13 solved 17 Minutes

41.Exercise-7 Q.N.14 solved 10 Minutes

1.Three Dimensional Geometry- Introduction to Plane 4 Minutes

2.Theoem on plane -Proof 9 Minutes

3.Intercept form of plane 7 Minutes

4.Normal form of plane 7 Minutes

5.Reduction of plane to normal form 12 Minutes

6.Direction Ratios of line normal and angle betn two planes 17 Minutes

7.Some formulae and angle bisector of the plane 21 Minutes

8.Exercise-8 - Q.n.1 solved 8 Minutes

9.Exercise-8 Q.N.2 solved 9 Minutes

10.Exercise-8 Q.N.4 solved 6 Minutes

11.Exercise-8 Q.N.5 solved 7 Minutes

12.Exercise-8 Q.N.7 solved 11 Minutes

13.Exercise-8-Q.N.9 i solved 4 Minutes

14.Exercise-8-Q.N.10 solved 9 Minutes

15.Exercise-8-Q.N.11 solved 7 Minutes

16.Exercise-8 Q.N.12 solved 12 Minutes

17.Straight Line-Definition and its Symmetrical form-Proof 10 Minutes

18.Corollary and equation of line Through two points -proof 8 Minutes

19.Angle between Line and Plane-Formula-Proof 13 Minutes

20.Condition a line to lie in plane -proof and some extra formulae 10 Minutes

21.Exercise-9 Q.n.1 solved 8 Minutes

22.Exercise-9 Q.N.3 solved 5 Minutes

23.Exercise-9 Q.N.5 solved 8 Minutes

24.Exercise-9 Q.N.6 solved 5 Minutes

25.Exercise-9 Q.N.8 solved 11 Minutes

26.Exercise-9 Q.N.10 solved 12 Minutes

27.Exercise-9-Q.N.12 solved 7 Minutes

28.Exercise-9 Q.N.14 solved 12 Minutes

29.Exercise-9 Q.N.15 solved 6 Minutes

30.Exercise-9 Q,N,17 solved 11 Minutes

31.Exercise-9 QN.19 done 15 Minutes

32.Coplanar lines 12 Minutes

33.Exercise-10 Q.N.1 solved 15 Minutes

34.Exercise-10-Q.N.3 solved 13 Minutes

35.Exercise-10-Q.N.4 solved 12 Minutes

36.Exercise-10-Q.N.6 solved 10 Minutes

37.Shortest Distance-S.D- 5 Minutes

38.Magnitude and equation of S.D- 13 Minutes

39.Exercise-11-Q.N.1 solved 13 Minutes

40..Exercise-11-Q.N.3 solved 15 Minutes

41.Exercise-11-Q.N.4 solved 18 Minutes

42.Exercise-11-Q.N.6 solved 11 Minutes

43.Sphere-Definitions and some formulae 21 Minutes

44.Exercise-12-Q.N.1 solved 19 Minutes

45.Exercise-12-Q.N.4.&5 solved 8 Minutes

46.Exercise-12-Q.N.6(I) solved 15 Minutes

47.Exercise-12-Q.N.7i solved 9 Minutes

48.Exercise-12-Q.n.8 solved 4 Minutes

49.Exercise-12-Q.N.10 solved 14 Minutes

50.Tangent Planes & Lines- Definition and Formulae 8 Minutes

51.Exercise-13-Q.N.1i solved 6 Minutes

52.Exercise-13-Q.N.2 solved 7 Minutes

53.Exercise-13-Q.N.4 solved 11 Minutes

54.Exercise-13-Q.N.6 solved 6 Minutes

55.Exercise-13 Q.N.8 solved 14 Minutes

56.Exercise-13-Q.N.10 solved 11 Minutes

57.Cone and Right Circular cone 19 Minutes

58.Exercise-14-Q.N.1ii solved 8 Minutes

59.Exercise-14-Q.N.2 solved 5 Minutes

60.Exercise-14-Q.N.3 solved 3 Minutes

61.Exercise-14-QN5 solved 9 Minutes

62.Exercise-14-Q.n.7 solved 6 Minutes

63.Exercise-14-QN.8 solved 8 Minutes

64.Cylinder and right circular cylinder 17 Minutes

65.Exercise-15 Q.N.2 solved 9 Minutes

66.Exercise-15 Q.N.3 solved 6 Minutes

67.Exercise-15-Q.N.5 solved 15 Minutes

68.Exercise-15-Q.N.6 solved 16 Minutes

1.Chapter-4-Solution of DIfferential equations and sepecial function- Wonskin determinant 9 Minutes

2.Exercise-16 Q.N.1 solved 8 Minutes

3.Exercise-16-Q.N.3 solved 8 Minutes

4.Exercise-16-Q.N.5 solved 10 Minutes

5.Exercise-16-Q.N.7 solution 9 Minutes

6.Exercise-16 Q.n.9 solved 16 Minutes

7.Exercise-16-QN11 solved 11 Minutes

8.Exercise-16-QN.13 solved 7 Minutes

9.Exercise-16-QN16 solved 6 Minutes

10.Solution of differential equation by power series method 8 Minutes

11.Exercise-17-Q.n.1 solved 11 Minutes

12.Exercise-17-Q.N.3 solved 11 Minutes

13.Exercise-17-Q.n.5 solved 15 Minutes

14.Exercise-17-Q.N.7 solved 11 Minutes

15.Exercise-17-QN-10 s0lved 13 Minutes

16.Exercise-17-QN13 solved 12 Minutes

17.Exercise-17-QN-15 solved 9 Minutes

18.Legendres Equation and its solution 20 Minutes

19.Rodrigues formula & Legendres Polynomial 14 Minutes

20.Bessels Equation & Functions 7 Minutes

21.Exercise-18-Q.n.1&II done 10 Minutes

22.Exercise-18-Q.N.4 &6 done 9 Minutes

23.Exercise-18-Q.N.7 solved 5 Minutes

24.Exercise-18-Q.N.8 solved 5 Minutes

25.Exercise-18-Q.N.-9 ,11&12 solved 11 Minutes

26.Exercise-18-Q.N.13 &14 solved 5 Minutes

1.Chapter-5 Vector algebra & Calculus- Scalar and vector product of two vectors- Introduction 18 Minutes

2.Exercise-19 Q.N.1 solved 15 Minutes

3.Exercise-19-Q.N.3 &4 solved 11 Minutes

4.Exercise-19-Q.N.6 -I &III solved 10 Minutes

5.Exercise-19-QN.7& 8 solved 11 Minutes

6.Exercise-19-QN.10 solved 14 Minutes

7.Scalar Triple Product &its determinant form 12 Minutes

8.Dec26-Geometrical interpretation of scalar triple product 12 Minutes

9.Fundamental property of scalar triple product-pro.1 &2 18 Minutes

10.Fundamental proporty-Propery 3 &4 12 Minutes

11.Property-5 & 6 . distributive law on scalar triple product 14 Minutes

12.vector triple product-defn 11 Minutes

13.Expression for vector triple product 11 Minutes

14.Exercise-20 Q.N.(1) i,Q.N.(2)i Q.N.3(i) done 15 Minutes

15.Exercise-20-Q.N.4.5 &7 done 20 Minutes

16.Exercise-20-Q.N.9.11.&12 solved 16 Minutes

17.Exercise-20-Q.N.14.16&17 done 14 Minutes

18.Product of 4 vectors 14 Minutes

19.Reciprocal system of vectors-definition &properties 14 Minutes

20.Exercise-21 Q.N.1&2 solved 15 Minutes

21.Exercise-21-Q.N.5 &7 solved 9 Minutes

22.Exercise-21-Q.N.10 (i) &11 (I) solved 13 Minutes

23.Exercise-21-QN-12 solved 12 Minutes

24.Dec-30-Application of vectors 8 Minutes

25.Dec-30-Exercise-22-Q.N.1.&2 done 11 Minutes

26.Exercise-22-Q.n.3,4,5 solved 10 Minutes

27.Exercise-22-Qn-7 done 4 Minutes

28.Vector calculus-vector function 19 Minutes

29.Geometrical meaning of derivative 16 Minutes

30.Constant vectors-Theorems 18 Minutes

31.Exercise-23-Q.N.1 done 7 Minutes

32.Exercise-23-Qn.3i &iii,4i done 15 Minutes

33.Exercise-23-6,8,9 solved 15 Minutes

34.Vector Integration 5 Minutes

35.Exercise-24-Q.N.1i,&ii,2i,3i done 16 Minutes

36.Exercise-24-Q.N.4 done 4 Minutes

37.Gradient,divergence& curl 23 Minutes

38.Directional derivative 19 Minutes

39.Exercise-25-Q.N.1i,iv,v &2i done 18 Minutes

40.Exercise-25-Q.N.2iii &iv solved 11 Minutes

41.Exercise-25-Q.n.3 iii&vi solved 13 Minutes

42.Exercise-25-Qn-4i,iii&v solved 22 Minutes

43.Exercise-25-Q.n-5i,ii,iii 13 Minutes

1.Chapter-6-Infinite series- Definitions 14 Minutes

2.Exercise-26-QN-1,3 solved 10 Minutes

3.Exercise-26-Q.N.4.,5,8,9 solved 11 Minutes

4.P-series -& Exercise-27-QN.1,2 done 15 Minutes

5.Exercise-27-QN-3,6,8 solved 21 Minutes

6.De-alembert ratio test-Exercise-28-QN-1 solved 14 Minutes

7.Exercise-28-QN-4 solved 7 Minutes

8.Exercise-28-Qn-5 solved 7 Minutes

9.Exercise-28-Q.N.7,10,12 solved 18 Minutes

10.Exercise-28-Q.N.13,16 solved 4 Minutes

11.Integral test & Leibnitz test-Exercise-30- Q.N.1 done 15 Minutes

12.Exercise-30-Q.N.-5,8,10 solved 10 Minutes

13.Exercise-30-Q.N.11,12,13 solved 12 Minutes

14.Exercise-30-Q.n.16 solved 7 Minutes

15.Radius and interval of Convergence 7 Minutes

16.Exercise-31-Q.N.1 solved 12 Minutes

17.Exercise-31-Q.N.7 solved 8 Minutes

18.Exercise-31-Q.N.11 solved 9 Minutes

19.Exercise-31-Q.N.15 solved 6 Minutes

20.Exercise-31-QN-17 solved 10 Minutes

21.Exercise-31-Q.N.18 &22 solved 9 Minutes