FreeTutorials us calculus1

1. 01 Calculus 1 - Introduction Resources/001 Welcome to Calculus 1.mp48.87MB
2. 02 Foundations of Calculus - Introduction/002 Introduction.mp472.69MB
3. 03 Foundations of Calculus - Functions/004 Vertical line test.mp48.12MB
4. 03 Foundations of Calculus - Functions/007 Domain and range from a graph.mp417.28MB
5. 03 Foundations of Calculus - Functions/008 Even odd or neither.mp416.97MB
6. 03 Foundations of Calculus - Functions/009 Classifying functions.mp422.12MB
7. 04 Foundations of Calculus - Graphing functions/011 Equation modeling.mp427.04MB
8. 04 Foundations of Calculus - Graphing functions/012 Equation modeling piecewise-defined function.mp421.07MB
9. 04 Foundations of Calculus - Graphing functions/013 Story problems sketching graphs.mp415.97MB
10. 04 Foundations of Calculus - Graphing functions/015 Lines point-slope form.mp440.58MB
11. 04 Foundations of Calculus - Graphing functions/016 Lines slope-intercept form.mp434.02MB
12. 04 Foundations of Calculus - Graphing functions/018 Lines least squares line.mp437.71MB
13. 04 Foundations of Calculus - Graphing functions/019 Parabolas sketching graphs.mp439.01MB
14. 04 Foundations of Calculus - Graphing functions/020 Circles finding center and radius.mp48.03MB
15. 04 Foundations of Calculus - Graphing functions/021 Circles sketching graphs.mp434.23MB
16. 05 Foundations of Calculus - Modifying functions/023 Combinations of functions.mp424.77MB
17. 05 Foundations of Calculus - Modifying functions/024 Composite functions.mp45.32MB
18. 05 Foundations of Calculus - Modifying functions/025 Composite functions domain.mp422.87MB
19. 05 Foundations of Calculus - Modifying functions/027 Transformations algebraically.mp422.6MB
20. 05 Foundations of Calculus - Modifying functions/028 Transformations sketching graphs.mp416.99MB
21. 06 Foundations of Calculus - Inverse functions and logarithms/031 Horizontal line test 1-to-1.mp415.77MB
22. 06 Foundations of Calculus - Inverse functions and logarithms/032 Inverse functions.mp47.42MB
23. 06 Foundations of Calculus - Inverse functions and logarithms/033 Finding the equation of a function from points on its inverse.mp426.71MB
24. 06 Foundations of Calculus - Inverse functions and logarithms/034 Laws of logarithms.mp416.85MB
25. 07 Foundations of Calculus - Quadratic functions/036 Quadratic formula.mp422.2MB
26. 07 Foundations of Calculus - Quadratic functions/039 Completing the square.mp425.19MB
27. 08 Foundations of Calculus - Rational functions/042 Long division of polynomials.mp424.22MB
28. 09 Foundations of Calculus - Trigonometry/043 Hyperbolic identities.mp419.17MB
29. 09 Foundations of Calculus - Trigonometry/044 Unit circle.mp486.7MB
30. 10 Limits Continuity - Introduction/045 Introduction to limits and continuity.mp451.44MB
31. 11 Limits Continuity - Solving limits/049 Solving with substitution.mp42.58MB
32. 11 Limits Continuity - Solving limits/052 Solving with factoring.mp44.71MB
33. 11 Limits Continuity - Solving limits/055 Solving with conjugate method.mp47.8MB
34. 11 Limits Continuity - Solving limits/057 Limits of combinations.mp440.72MB
35. 11 Limits Continuity - Solving limits/058 Crazy graphs.mp414.92MB
36. 12 Limits Continuity - Other kinds of limits/060 Limits at infinity.mp452.16MB
37. 12 Limits Continuity - Other kinds of limits/063 Infinite limits.mp438.14MB
38. 12 Limits Continuity - Other kinds of limits/066 Trigonometric limits.mp45.84MB
39. 13 Limits Continuity - Definition of the limit/069 One-sided limits.mp413.64MB
40. 13 Limits Continuity - Definition of the limit/071 Proving that the limits does not exist.mp423MB
41. 13 Limits Continuity - Definition of the limit/074 Precise definition of the limit.mp419.97MB
42. 13 Limits Continuity - Definition of the limit/075 Precise definition of the limit finding delta.mp426.67MB
43. 13 Limits Continuity - Definition of the limit/078 Squeeze theorem overview.mp45.51MB
44. 13 Limits Continuity - Definition of the limit/079 Squeeze theorem limit of an inequality.mp412.48MB
45. 14 Limits Continuity - Continuity/081 Continuity.mp43.76MB
46. 14 Limits Continuity - Continuity/084 Removable discontinuities.mp414.03MB
47. 14 Limits Continuity - Continuity/086 Making the function continuous.mp416.06MB
48. 14 Limits Continuity - Continuity/089 Intermediate value theorem overview.mp412.12MB
49. 14 Limits Continuity - Continuity/090 Intermediate value theorem closed interval.mp423.15MB
50. 14 Limits Continuity - Continuity/091 Intermediate value theorem open interval.mp427.68MB
51. 15 Derivatives - Definition of the derivative/093 Introduction to derivatives.mp468.42MB
52. 15 Derivatives - Definition of the derivative/094 Difference quotient.mp415.65MB
53. 15 Derivatives - Definition of the derivative/096 Definition of the derivative.mp430.86MB
54. 16 Derivatives - Derivative rules/100 Power rule.mp47.69MB
55. 16 Derivatives - Derivative rules/101 Power rule example 2.mp418.44MB
56. 16 Derivatives - Derivative rules/104 Product rule two functions.mp417.26MB
57. 16 Derivatives - Derivative rules/106 Product rule three or more functions.mp428.87MB
58. 16 Derivatives - Derivative rules/109 Quotient rule.mp458.44MB
59. 16 Derivatives - Derivative rules/112 Reciprocal rule.mp436.96MB
60. 17 Derivatives - Chain rule/114 Chain rule with power rule.mp47.96MB
61. 17 Derivatives - Chain rule/117 Chain rule with product rule.mp446.49MB
62. 17 Derivatives - Chain rule/120 Chain rule with quotient rule.mp438.6MB
63. 17 Derivatives - Chain rule/123 Chain rule with trig functions.mp426.38MB
64. 18 Derivatives - Trigonometric derivatives/125 Trigonometric derivatives overview.mp436.26MB
65. 18 Derivatives - Trigonometric derivatives/126 Trigonometric derivatives cot.mp47.08MB
66. 18 Derivatives - Trigonometric derivatives/129 Inverse trigonometric derivatives arcsin.mp421.53MB
67. 18 Derivatives - Trigonometric derivatives/130 Inverse trigonometric derivatives arccot.mp418.32MB
68. 18 Derivatives - Trigonometric derivatives/133 Hyperbolic derivatives.mp46.98MB
69. 18 Derivatives - Trigonometric derivatives/136 Inverse hyperbolic derivatives.mp419.14MB
70. 19 Derivatives - Implicit differentiation/139 Implicit differentiation.mp416.39MB
71. 19 Derivatives - Implicit differentiation/142 Equation of the tangent line.mp454.34MB
72. 19 Derivatives - Implicit differentiation/143 Equation of the tangent line example 2.mp49.59MB
73. 19 Derivatives - Implicit differentiation/146 Second derivatives.mp433.56MB
74. 20 Derivatives - Exponential and logarithmic derivatives/149 Exponential derivatives.mp410.41MB
75. 20 Derivatives - Exponential and logarithmic derivatives/152 Logarithmic derivatives.mp48.27MB
76. 20 Derivatives - Exponential and logarithmic derivatives/153 Logarithmic derivatives example 2.mp49.29MB
77. 20 Derivatives - Exponential and logarithmic derivatives/155 Logarithmic differentiation.mp410.49MB
78. 20 Derivatives - Exponential and logarithmic derivatives/156 Logarithmic differentiation example 2.mp413.29MB
79. 20 Derivatives - Exponential and logarithmic derivatives/157 Derivative of xx.mp427.42MB
80. 21 Derivatives - Tangent and normal lines/159 Tangent lines.mp411.91MB
81. 21 Derivatives - Tangent and normal lines/161 Value that makes two tangent lines parallel.mp432.74MB
82. 21 Derivatives - Tangent and normal lines/163 Differentiability and vertical tangent lines.mp425.59MB
83. 21 Derivatives - Tangent and normal lines/166 Normal lines.mp421.95MB
84. 21 Derivatives - Tangent and normal lines/169 Average rate of change.mp48.71MB
85. 22 Derivatives - Exponential growth and decay/172 Half life.mp412.22MB
86. 22 Derivatives - Exponential growth and decay/175 Compounding interest.mp45.05MB
87. 22 Derivatives - Exponential growth and decay/178 Sales decline.mp411.99MB
88. 23 Applications of Derivatives - Linear approximation/181 Linear approximation.mp45.93MB
89. 23 Applications of Derivatives - Linear approximation/183 Linear approximation to estimate a root.mp411.48MB
90. 23 Applications of Derivatives - Linear approximation/184 Linearization.mp414.73MB
91. 24 Applications of Derivatives - Optimization/186 Introduction to optimization.mp440.76MB
92. 24 Applications of Derivatives - Optimization/187 Critical points.mp422.95MB
93. 24 Applications of Derivatives - Optimization/189 Increasing and decreasing.mp412.38MB
94. 24 Applications of Derivatives - Optimization/191 Concavity.mp411.11MB
95. 24 Applications of Derivatives - Optimization/193 First derivative test.mp427.63MB
96. 24 Applications of Derivatives - Optimization/195 Second derivative test.mp45.43MB
97. 24 Applications of Derivatives - Optimization/197 Vertical asymptotes.mp418.85MB
98. 24 Applications of Derivatives - Optimization/199 Horizontal asymptotes.mp411.75MB
99. 24 Applications of Derivatives - Optimization/201 Slant asymptotes.mp44.26MB
100. 24 Applications of Derivatives - Optimization/203 Sketching graphs.mp414.24MB
101. 24 Applications of Derivatives - Optimization/206 Extrema on a closed interval.mp420.41MB
102. 25 Applications of Derivatives - Applied optimization/208 Dimensions of a rectangle that maximize its area.mp424.04MB
103. 25 Applications of Derivatives - Applied optimization/209 Dimensions of a rectangle that minimize its perimeter.mp422.44MB
104. 25 Applications of Derivatives - Applied optimization/210 Dimensions that maximize the area of a rectangular enclosure against a wall.mp47.33MB
105. 25 Applications of Derivatives - Applied optimization/211 Dimensions that minimize page size with a given printed area.mp448.44MB
106. 25 Applications of Derivatives - Applied optimization/212 Two real numbers with minimum product.mp49.19MB
107. 25 Applications of Derivatives - Applied optimization/213 Two real numbers with minimum sum of squares.mp413.51MB
108. 25 Applications of Derivatives - Applied optimization/214 Point on the line closest to another point.mp411.09MB
109. 25 Applications of Derivatives - Applied optimization/215 Time when velocity is minimum.mp46.68MB
110. 25 Applications of Derivatives - Applied optimization/216 Dimensions that maximize the volume of a box.mp420.16MB
111. 25 Applications of Derivatives - Applied optimization/218 Dimensions that minimize the surface area of an open top box.mp423.33MB
112. 25 Applications of Derivatives - Applied optimization/219 Width that minimizes the surface area of an open top box.mp422.29MB
113. 25 Applications of Derivatives - Applied optimization/220 Dimensions that maximize the volume of a cylinder.mp424.45MB
114. 25 Applications of Derivatives - Applied optimization/221 Dimensions that minimize the surface area of a cylinder.mp435.75MB
115. 25 Applications of Derivatives - Applied optimization/222 Maximum volume of a cone-shaped cup.mp458.69MB
116. 25 Applications of Derivatives - Applied optimization/223 Production level and sale price that maximize profit.mp424.64MB
117. 25 Applications of Derivatives - Applied optimization/224 Sales level that maximizes revenue.mp412.68MB
118. 25 Applications of Derivatives - Applied optimization/225 Maximum area of a rectangle inscribed in a semicircle.mp465.25MB
119. 25 Applications of Derivatives - Applied optimization/226 Dimensions that maximize the area of a rectangle inscribed in a triangle.mp469.45MB
120. 25 Applications of Derivatives - Applied optimization/227 Maximum volume of a cylinder inscribed in a sphere.mp459.53MB
121. 26 Applications of Derivatives - Related rates/229 Introduction to related rates.mp461.83MB
122. 26 Applications of Derivatives - Related rates/231 Volume of the balloon.mp411.15MB
123. 26 Applications of Derivatives - Related rates/232 Price of the product.mp49.11MB
124. 26 Applications of Derivatives - Related rates/233 Water level in the tank.mp414.68MB
125. 26 Applications of Derivatives - Related rates/234 Observer and the airplane.mp421.89MB
126. 26 Applications of Derivatives - Related rates/235 Ladder sliding down the wall.mp413.31MB
127. 27 Applications of Derivatives - Mean value theorem/238 Mean value theorem for derivatives.mp422.23MB
128. 27 Applications of Derivatives - Mean value theorem/241 Rolles theorem.mp48.76MB
129. 28 Applications of Derivatives - Newtons method/244 Newtons method.mp416.08MB
130. 29 Applications of Derivatives - LHospitals rule/247 LHospitals rule.mp42.96MB
131. 30 Applications of Derivatives - Physics/250 Position function.mp43.88MB
132. 30 Applications of Derivatives - Physics/251 Position function of a particle.mp432.25MB
133. 30 Applications of Derivatives - Physics/255 Vertical motion ball thrown up from the ground.mp418.33MB
134. 30 Applications of Derivatives - Physics/256 Vertical motion coin dropped from the roof.mp435.59MB
135. 31 Applications of Derivatives - Economics/259 Marginal cost revenue and profit.mp413.87MB
136. 32 Calculus 1 - Conclusion/261 Wrap-up.mp41.85MB