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# Series: Calculus I and II and III

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• Price \$158.40

#### Description

This 226-video calculus series should help you to learn and master calculus concepts from first semester calculus, second semester calculus and third semester calculus. The first semester videos (~65 videos) focus on derivatives and differentiation. The second semester videos (~110 videos) deal with integration and integrals. Then, the third semester videos (~50 videos) focus on vectors, partial derivatives, multiple integrals, vector functions ans vector calculus.

These videos are available to be viewed online for free on PatrickJMT

#### Lessons included in this series

1. What is a Limit? Basic Idea of Limits
2. Calculating a Limit by Multiplying by a Conjugate
3. Calculating a Limit by Expanding and Simplifying
4. Calculating a Limit by Factoring and Cancelling
5. Find a Limit by Getting a Common Denominator
6. Calculating a Limit Involving Absolute Value
7. Limit of sin(x)/x as x Approaches Zero
8. Squeeze Theorem for Limits
9. Infinite Limits
10. Find Horizontal Asymptotes of Rational Functions
11. Limits at Infinity & Rational Function; Shortcuts
12. Limits at Infinity with Radical in the Expression
13. Basic Continuity Problems
14. More Continuity Problems/Examples
15. The Intermediate Value Theorem
16. Continuity and Three Important Theorems
17. Derivatives Using the Definition
18. Sketching the Derivative of a Function
19. Basic Derivative Examples
20. Chain Rule: Basic Problems
21. Chain Rule – Harder Ex 1
22. Chain Rule – Harder Ex 2
23. Chain Rule – Harder Ex 3
24. Product and Chain Rule to Find a Derivative
25. Chain, Quotient Rule to Find Derivative & Simplify
26. Derivative from Chain, Quotient Rule; Simplify 2
27. Derivatives - Complicated (Multi-Step) Examples
28. Logarithmic Differentiation - Ex 1
29. Logarithmic Differentiation - Ex 2
30. Logarithmic Differentiation - Ex 3
31. Tons of Derivative Examples
32. Implicit Differentiation to Find First Derivative
33. Implicit Differentiation to Find Second Derivative
34. Related Rates Involving Baseball
35. Related Rates, Ex 1
36. Related Rates, Ex 2
37. Related Rates, UT example
38. Related Rates Involving Cones - UT Problem
39. UT Related Rates Problem, Ex 1
40. UT Related Rates Problem, Ex 2
41. UT Related Rates Problem, Ex 3
42. UT Related Rates Problem, Ex 4
43. UT Related Rates Problem, Ex 5
44. UT Related Rates Problem, Ex 6
45. Related Rates Involving Baseball
46. UT Related Rates Problem 8
47. Find a Linear Approximation/Linearization
48. Finding a Linear Approximation / Linearization
49. Using Differentials to Approximate Change
50. Local Max and Min; Increasing/Decreasing Functions
51. The Mean Value Theorem
52. Finding Critical Numbers – Ex 1
53. Finding Critical Numbers – Ex 2
54. Find Local Max/Min and where Increasing/Decreasing
55. Concavity and Second Derivatives
56. Curve Sketching Using Calculus - Part 1 of 2
57. Curve Sketching Using Calculus - Part 2 of 2
58. Summary of Curve Sketching - Ex 2, Part 1
59. Summary of Curve Sketching - Ex 2, Part 2
60. Summary of Curve Sketching - Ex 2, Part 3
61. Summary of Curve Sketching - Ex 2, Part 4
62. Optimization Problem #1
63. Optimization Problem #2
64. Optimation Problem #3 - Designing a Rain Gutter
65. Newtons Method
66. Approximating a Definite Integral Using Rectangles
67. Definite Integral – Understanding the Definition
68. Fundamental Theorem of Calculus Part 1
69. U-Substitution - Definite Integral
70. U-Substitution - Definite Integral, Ex 2
71. U-Substitution - More Complicated Examples
72. Area Between Curves - Integrate with Respect to y
73. Area Between Curves - Integrate Respect to y Pt 2
74. Volumes of Revolution: Disks and Washers, Ex 1
75. Volumes of Revolution: Discs and Washers, Part 1
76. Volumes of Revolution: Discs and Washers, Part 2
77. Volumes of Revolution: Horiz Lines - Discs/Washers
78. Finding Volumes of Revolution: Cylindrical Shells
79. Volumes of Revolution Using Discs / Washer
80. Volumes of Revolution: Cylindrical Shells (long)
81. Work and Hooke's Law - Example 1
82. Work and Hooke's Law - Example 2
83. Work: The Cable/Rope Problem Part 1
84. Work: The Cable/Rope Problem – Part 2
85. Work: Finding the Work Required to Drain a Tank
86. Derivatives of Exponential Functions
87. Integrals: Exponential Functions – Ex 1 and 2
88. Integrals: Exponential Functions – Ex 3 and 4
89. Derivatives of Logarithmic Functions
90. Inverse Trig Functions: Derivatives Pt 1
91. Inverse Trigonometric Functions: Derivatives Pt 2
92. Inverse Trigonometric Function Derivatives: Ex 3
93. Hyperbolic Functions - The Basics
94. Integrals: Hyberbolic Functions
95. Inverse Hyperbolic Functions; Derivatives
96. L'Hospitals Rule - Indeterminate Powers
97. L'Hospitals Rule - Indeterminate Quotients
98. L'Hospitals Rule - Indeterminate Differences
99. L'Hospitals Rule - Indeterminate Products
100. Using Integration by Parts Twice
101. Integration by Parts – Ex 1
102. Integration by Parts – Definite Integral
103. Integration by Parts – A Loopy Example!
104. Trigonometric Integrals - Part 1 of 6
105. Trigonometric Integrals - Part 2 of 6
106. Trigonometric Integrals - Part 3 of 6
107. Trigonometric Integrals - Part 4 of 6
108. Trigonometric Integrals - Part 5 of 6
109. Trigonometric Integrals - Part 6 of 6
110. A Basic Trigonometric Substitution Problem
111. Trig Substitution: Completing the Square Part 1/2
112. Trig Substitution: Completing the Square Part 2/2
113. Integration by Partial Fractions: Long Division
114. Integration by Partial Fractions: Coefficients
115. Integration by Partial Fractions: An Example
116. Partial Fractions and Rationalizing Substitutions
117. Approximating Integrals: Simpsons Rule
118. Approximating Integrals: Simpsons Rule Error Bound
119. Approximating Integrals: Trapezoid Rule
120. Improper Integral – Basic Idea and Example
121. Improper Integral: Infinite Discontinuity-Middle
122. Improper Integral: Infinite Discontinuity-Endpoint
123. Improper Integral: Infinity in Upper, Lower Limits
124. Improper Integral – More Complicated Example
125. Finding Arc Length
126. Finding Surface Area, Part 1
127. Finding Surface Area, Part 2
128. Centroids / Centers of Mass – Part 2 of 2
129. Centroids / Centers of Mass – Part 1 of 2
130. Separable 1st Order Differential Equations – Pt 1
131. Separable Differential Equations: Mixing Problems
132. First Order Linear Differential Equations
133. Exact Differential Equations
134. Undetermined Coefficients/2nd Order Linear DE 1
135. Undetermined Coefficients/2nd Order Linear DE 2
136. Homogeneous 2nd Order Linear Diff Equations
137. Power Series Solutions of Differential Equations
138. Laplace Transform
139. Parametric Curves – Basic Graphing
140. Derivatives of Parametric Functions
141. Parametric Curves - Second Derivatives
142. Areas and Parametric Curves
143. Polar Coordinates – The Basics
144. Graphing a Polar Curve – Part 1
145. Graphing a Polar Curve – Part 2
146. Areas and Polar Coordinates
147. What is a Sequence? Basic Sequence Info
148. More Convergent Sequence Examples
149. What is a Series?
150. Telescoping Series
151. Using Partial Sums to Show a Series Diverges
152. Geometric Series
153. Geometric Series, Part 2
154. Geometric Series - More Examples
155. Geometric Series: Repeating Decimal as Fraction
156. Integral Test for Series
157. Remainder Estimate for the Integral Test
158. Limit and Direct Comparison Tests – Pt 1
159. Limit and Direct Comparison Tests – Pt 2
160. Alternating Series
161. Alternating Series - Another Example
162. The Alternating Series Estimation Theorem
163. The Ratio Test and Absolute Convergence Part 1
164. The Ratio Test and Absolute Convergence Part 2
165. Strategy for Testing Series - An Overview
166. Power Series - Finding the Interval of Convergence
167. Power Series Representations: PSR for 1/(1 - x)
168. Power Series - Multiplying and Dividing
169. Differentiating and Integrating Power Series
170. Find a Maclaurin Series
171. Finding a Taylor Series Expansion
172. Taylor's Inequality
173. Using Series to Evaluate Limits
174. Maclaurin/Taylor to Approximate Definite Integrals
175. The Binomial Series - Ex 1
176. The Binomial Series - Ex 2
177. Vectors: Finding Magnitude or Length
178. Vectors: Finding Equations of Lines
179. Vectors: The Dot Product
180. The Cross Product of Two Vectors
181. Torque: An Application of the Cross Product
182. Finding Where a Line Intersects a Plane
183. The Domain of a Vector Function
184. Limit of a Vector Function
185. Finding the Equation of a Plane Given 3 Points
186. Finding the Domain of a Multivariable Function
187. Show Limit Does NOT Exist: Multivariable Function
188. Limit Does NOT Exist - Multivariable Function
189. Partial Derivatives
190. Partial Derivatives: Higher Order
191. Equations of Tangent Planes at a Point
192. Finding a Tangent Plane Approximation
193. Generalized Chain Rule, Part 1
194. Generalized Chain Rule, Part 2
195. Directional Derivative & Gradient Vector Notation
196. Finding the Directional Derivative - Ex 1
197. Finding the Directional Derivative - Ex 2
198. Lagrange Multipliers - One Constrait
199. Lagrange Multipliers
200. Lagrange Multipliers - Two Constraints, Part 1
201. Lagrange Multipliers - Two Constraints Part 2
202. Evaluating a Double Integral
203. Double Integrals Over General Regions
204. A Double Integral Over a General Region
205. Double Integrals – Changing Order of Integration
206. Double Integrals: Change Order of Integration Ex 2
207. A Double Integral in Polar Coordinates, Part 1
208. A Double Integral in Polar Coordinates, Part 2
209. Double Integral in Polar Coordinates, Part 3
210. Integration Using Spherical Coordinates
211. Evaluating a Triple Integral
212. The Jacobian
213. Vector Fields
214. Evaluating a Line Integral
215. Evaluate Line Integral on Straight Line Segments
216. Evaluating a Line Integral From the Definition
217. The Fundamental Theorem for Line Integrals
218. Greens Theorem
219. Potential for a Conservative Vector Field – Ex 1
220. Potential for a Conservative Vector Field – Ex 2
221. Conservative Vector Fields - Definition & Notation
222. Showing a Vector Field on R_2 is Conservative
223. Is Vector Field is Conservative? (Using Curl) Ex 1
224. Is Vector Field is Conservative? (Using Curl) Ex 2
225. Evaluating a Surface Integral
##### Wrong Video
11/09/2011
This video goes over single variable calculus material about tangent lines at a point. The title says, "Tangent Planes at a point." I want a refund.
##### Solid
02/02/2011
Great help; Thank you !