1 1_1 Exponential Growth and Decay.flv
2 1_2 Exponential Growth and Decay.flv
3 1_3 Exponential Growth and Decay.flv
4 1_4 Exponential Growth and Decay
5 1_5 Euler Method
6 1_6 Euler Method
7 2_1 Sequences
8 2_2 Sequences
9 2_3 Sequences
10 2_4 Sequences
11 3_1 Introduction to Series
12 3_1_1 Introduction to Series
13 3_2 The Geometric Series
14 3_3 The Harmonic Series
15 3_4 Example Problems Involving Series
16 3_5_1 The Integral Test and Comparison Tests
17 3_5_2 The Integral Test and Comparison Tests
18 3_5_3 The Integral Test and Comaprison Tests
19 3_5_4 The Integral Test and Comparison Tests
20 3_6_2 Alternating Series
21 3_6_3 Alternating Series
22 3_7_1 Absolute Value Test
23 3_7_2 Ratio and Root Tests.flv
24 4_1_1 Power Series
25 4_1_2 Power Series
26 10_1_1 Vector Function Differentiation
27 10_1_2 Examples of Vector Function Differentiation
28 10_1_3 Examples of Vector Function Differentiation
29 11_1_1 Introduction to the Differentiation of Multivariable Functions
30 11_1_2 Example Problems on Partial Derivative of a Multivariable Function
31 11_2_1 The Geomtery of a Multivariable Function
32 11_3_1 The Gradient of a Multivariable Function
33 11_3_2 Working towards an equation for a tangent plane to a multivariable point
34 11_3_4 Working towards an equation for a tangent plane to a multivariable function
35 11_3_5 When is a multivariable function continuous
36 11_3_6 Continuity and Differentiablility
37 11_3_7 A Smooth Function
38 11_3_8 Example problem calculating a tangent hyperplane
39 11_4_1 The Derivative of the Composition of Functions
40 11_4_2 The Derivative of the Composition of Functions
41 11_5_1 Directional Derivative of a Multivariable Function Part 1
42 11_5_2 Directional Derivative of a Multivariable Function Part 2
43 11_6_1 Contours and Tangents to Contours Part 1
44 11_6_2 Contours and Tangents to Contours Part 2
45 11_6_3 Contours and Tangents to Contrours Part 3
46 11_7_1 Potential Function of a Vector Field Part 1
47 11_7_2 Potential Function of a Vector Field Part 2
48 11_7_3 Potential Function of a Vector Field Part 3
49 11_8_1 Higher Order Partial Derivatives Part 1
50 11_9_1 Derivative of Vector Field Functions
51 11_9_2 Conservative Vector Fields
52 12_1_1 Introduction to Taylor Polynomials
53 12_1_2 An Introduction to Taylor Polynomials
54 12_1_3 Example problem creating a Taylor Polynomial
55 12_2_1 Taylor Polynomials of Multivariable Functions
56 12_2_2 Taylor Theorem for Multivariable Polynomials
57 13_1 An Introduction to Optimization in Multivariable Functions
58 13_2 Optimization with Constraints
59 14_1 The Double Integral
60 14_2 The Type I Region
61 14_3 Type II Region with Solved Example Problem
62 14_4 Some Fun with the Volume of a Cylinder
63 14_5 The double integral calculated with polar coordinates
64 14_6 Changing between Type I and II Regions
65 14_7 Translation of Axes
66 14_8 The Volume of a Cylinder Revisited
67 14_9 The Volume between Two Functions
68 14_10 The Triple Integral by way of an Example Problem
69 14_11 The Translation of Axes in Triple Integrals
70 14_12 Translation to Cylindrical Coordinates
71 15_1 An Introduction to Line Integrals
72 15_2_1 Example Problem Explaining the Line Integral with Respect to Arc Length
73 15_2_2 Another Example Problem Solving a Line Integral
74 15_2_3 Another example problem without using a parametrized curve
75 15_3_1 Line integrals with respect to coordinate variables
76 15_3_2 Example problem with line integrals with respect to coordinate variables
77 15_3_3 Continuation of previous problem
78 15_4_1 Example problem with the line integral of a multivariable functions
79 15_4_2 Example problem with the line integral of a multivariable functions
80 15_4_3 Example problem with the line integrals of a multivariable functions
81 16_1 Introduction to line integrals of vector fields
82 16_2 Evaluating the force and the directional vector differential
83 16_3 Example problem solving the line integral of a vector field
84 16_4 Another example problem solving for the line integral of a vector field
85 16_5 Another example problem solving for the line integral of a vector field
86 16_6 Another problem solving for the line integral in a vector field
87 16_7 The fundamental theorem of line integrals
88 16_8 The line integral over a closed path
89 17_1 The surface integral
90 17_2 Example problem solving for the surface integral
91 18_1 Introduction to flux
92 18_2 Calculating the normal vector
93 18_3 Example problem for flux
94 19_1 Greens Theorem
95 19_1_2 Example problem using theorem of Green to solve for a line integral
96 19_1_3 Another example problem solving for the line integral using the theorem of Green
97 19_2 The Theorem of Stokes
98 19_2_1 Example problem using the theorem of Stokes
99 19_3_1 Example problem using the theorem of Gauss
100 19_3_2 Example problem using theorem of Gauss
101 Understanding the Euler Lagrange Equation