Calculus 2

About Course

This Calculus course includes several techniques of integration, improper integrals, antiderivatives, application of the definite integral, differential equations, and approximations using Taylor polynomials and series. This course is required for engineering, physics, and mathematics majors.

This course contains a series of video tutorials that are broken up into various levels. Each video builds upon the previous one. Level I videos lay out the theoretical framework to successfully tackle problems covered in the next videos.

These videos can be used as a stand-alone course or as a supplement to your current course.

This course is for anyone who wants to fortify their understanding of calculus II

Who this course is for:

College Students

Course Content

Calculus 2

51 – The method of Lagrange multipliers

00:00
65 – Examples of changing variables – continued

00:00
66 – The requirement that J is not 0

00:00
67 – The geometric meaning of J

00:00
68 – A cool example

00:00
69 – Triple integrals

00:00
70 – Triple integrals over simple domains

00:00
71 – Cylindrical coordinates

00:00
72 – Spherical coordinates

00:00
73 – One more example of changing variables

00:00
74 – The length of a curve

00:00
64 – Examples of changing variables

00:00
63 – Change of variables

00:00
62 – Changing order of integration

00:00
52 – A two variable example of Lagrange multipliers

00:00
53 – A three variable example of Lagrange multipliers

00:00
54 – Proof of the Lagrange multipliers theorem

00:00
55 – Lagrange multipliers for several constraints

00:00
56 – Double integrals

00:00
57 – Properties of double integrals

00:00
58 – Iterated integrals

00:00
59 – Simple domains

00:00
60 – Double integrals on simple domains

00:00
61 – Examples of iterated integrals

00:00
75 – Line integrals of scalar functions

00:00
76 – Line integrals of vector fields

00:00
90 – The divergence theorem (Gauss)

00:00
91 – More on the divergence

00:00
92 – The curl

00:00
93 – Stokes’ theorem

00:00
94 – Using Stokes’ theorem

00:00
95 – Using Stokes’ theorem – continued

00:00
96 – Conservative fields in 3 dimensions

00:00
97 – An example of a conservative field

00:00
98 – More on the curl

00:00
99 – A review problem

00:00
89 – The divergence

00:00
88 – Surface integrals of vector fields – example

00:00
87 – Surface integrals of vector fields

00:00
77 – Green’s theorem

00:00
78 – Finding area with Green’s theorem

00:00
79 – Evaluating line integrals with Green’s theorem

00:00
80 – Conservative fields

00:00
81 – Simply connected domains

00:00
82 – Conservative fields in simply connected domains

00:00
83 – Conservative fields in simply connected domains – examples

00:00
84 – Surfaces

00:00
85 – Area of a surface

00:00
86 – Surface integrals of scalar functions

00:00
100 – A review problem – continued

00:00
01 – Introduction

00:00
15 – Surfaces – continued

00:00
16 – Surfaces – continued

00:00
17 – Curves

00:00
18 – Topology

00:00
19 – Sequences

00:00
20 – Functions and graphs

00:00
21 – Level curves

00:00
22 – Level surfaces

00:00
23 – Limits

00:00
24 – Properties of limits

00:00
14 – Surfaces

00:00
13 – Lines and planes

00:00
12 – Lines – continued

00:00
02 – Vectors

00:00
03 – The Cartesian coordinate system

00:00
04 – The dot product

00:00
05 – The dot product – continued

00:00
06 – The cross product

00:00
07 – The triple product

00:00
08 – The equation of a plane

00:00
09 – Planes – continued

00:00
10 – The equation of a line

00:00
11 – Lines – continued

00:00
25 – Limits along curves

00:00
26 – Limits and polar coordinates

00:00
40 – Higher order derivatives

00:00
41 – The Taylor polynomial

00:00
42 – The implicit function theorem

00:00
43 – The implicit function theorem – continued

00:00
44 – Proof of the implicit function theorem

00:00
45 – The gradient is perpendicular to level surfaces

00:00
46 – The implicit function theorem for systems of equations

00:00
47 – The inverse function theorem

00:00
48 – Minima and maxima

00:00
49 – Classification of critical points

00:00
39 – The chain rule

00:00
38 – The gradient

00:00
37 – Directional derivatives

00:00
27 – Iterated limits

00:00
28 – Continuity

00:00
29 – The intermediate value theorem

00:00
30 – Tangents to curves

00:00
31 – Partial derivatives

00:00
32 – Calculating partial derivatives

00:00
33 – The tangent plane

00:00
34 – Differentiability

00:00
35 – Differentiability – continued

00:00
36 – Differentiability, continuity and partial derivatives

00:00
50 – Exterma subject to constraints

00:00

Student Ratings & Reviews

No Review Yet

About Course

This Calculus course includes several techniques of integration, improper integrals, antiderivatives, application of the definite integral, differential equations, and approximations using Taylor polynomials and series. This course is required for engineering, physics, and mathematics majors.

Who this course is for:

What Will You Learn?

Course Content

Calculus 2

51 – The method of Lagrange multipliers

65 – Examples of changing variables – continued

66 – The requirement that J is not 0

67 – The geometric meaning of J

68 – A cool example

69 – Triple integrals

70 – Triple integrals over simple domains

71 – Cylindrical coordinates

72 – Spherical coordinates

73 – One more example of changing variables

74 – The length of a curve

64 – Examples of changing variables

63 – Change of variables

62 – Changing order of integration

52 – A two variable example of Lagrange multipliers

53 – A three variable example of Lagrange multipliers

54 – Proof of the Lagrange multipliers theorem

55 – Lagrange multipliers for several constraints

56 – Double integrals

57 – Properties of double integrals

58 – Iterated integrals

59 – Simple domains

60 – Double integrals on simple domains

61 – Examples of iterated integrals

75 – Line integrals of scalar functions

76 – Line integrals of vector fields

90 – The divergence theorem (Gauss)

91 – More on the divergence

92 – The curl

93 – Stokes’ theorem

94 – Using Stokes’ theorem

95 – Using Stokes’ theorem – continued

96 – Conservative fields in 3 dimensions

97 – An example of a conservative field

98 – More on the curl

99 – A review problem

89 – The divergence

88 – Surface integrals of vector fields – example

87 – Surface integrals of vector fields

77 – Green’s theorem

78 – Finding area with Green’s theorem

79 – Evaluating line integrals with Green’s theorem

80 – Conservative fields

81 – Simply connected domains

82 – Conservative fields in simply connected domains

83 – Conservative fields in simply connected domains – examples

84 – Surfaces

85 – Area of a surface

86 – Surface integrals of scalar functions

100 – A review problem – continued

01 – Introduction

15 – Surfaces – continued

16 – Surfaces – continued

17 – Curves

18 – Topology

19 – Sequences

20 – Functions and graphs

21 – Level curves

22 – Level surfaces

23 – Limits

24 – Properties of limits

14 – Surfaces

13 – Lines and planes

12 – Lines – continued

02 – Vectors

03 – The Cartesian coordinate system

04 – The dot product

05 – The dot product – continued

06 – The cross product

07 – The triple product

08 – The equation of a plane

09 – Planes – continued

10 – The equation of a line

11 – Lines – continued