Pi Aim academy mathematics study materials:

Pi Aim academy mathematics study materials:

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*Abstract Algebra*

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*Linear Algebra*

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*Complex Analysis*

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*Real Analysis Part-1*

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*Real Analysis Part-2*

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*Topology & Metric Space*

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*Ordinary Differential Equations*

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*Partial Differential Equations*

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*Integral Equations*

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*Calculus of Variation*

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*Numerical Analysis*

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Lecture notes14 : Double Integrals, Applilcations to Areas and Volumes Change of variables

Lecture notes14 : Double Integrals, Applilcations to Areas and Volumes Change of variables

40

Double integrals over rectangular domains Click here

41.

Triple integrals Click here

42. 

Change of variables Click here

Lecture notes18 : Stokes's theorem and applications

Lecture notes18 : Stokes's theorem and applications

52. 

Orienting the boundary of an orientable surface Click here

53.

Stokes' theorem for general domains Click here

54.

Application of Stokes' theorem Click here

Lecturer notes 17 : Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications

Lecturer notes  17 : Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications

49.

Surfaces and parameterizations [ Click here

50. 

Surface Integrals Click here

51.

Divergence theorem Click here

Lecture notes16 : Line Integrals, Conservative fields Green's Theorem and applications

Lecture notes16 : Line Integrals, Conservative fields Green's Theorem and applications

46. 

Line integrals Click here

47.

Fundamental Theorems of Calculus for Line integrals Click here

48. 

Green's Theorem Click here

Lecture notes 15:Vector fields, Gradient, Divergence and Curl

Lecture notes 15:Vector fields, Gradient, Divergence and Curl

43 . 

Vector fields and their properties Click here

44. 

Gradient Divergence and Curl Objectives Click here

45. 

Curves in space Click here

Lecture notes 13:Maxima, Minima and Saddle Points, Constrained maxima and minima

Lecture notes 13:Maxima, Minima and Saddle Points, Constrained maxima and minima

37 . 

Maxima and Minima Click here

38.

Second derivative test for local maxima / minima & saddle points Click here

39.

Absolute maxima / minima Click here