1. Recitation Introduction
2. Definition of Derivative
3. Graphing a Derivative Function
4. Smoothing a Piece-wise Function
5. Constant Multiple Rule
6. Tangent Line to a Polynomial
7. Derivatives of Sine and Cosine
8. Product Rule
9. Quotient Rule
10. Chain Rule
11. Implicit Differentiation
12. Graphing the Arctan Function
13. Arccos
14. Log and Exponent Derivatives
15. Rules of Logs
16. Hyperbolic Trig Functions
17. Implicit Differentiation and Linear Approximation
18. Quadratic Approximation
19. Quadratic Approximation of a Product
20. Sketching a Curve
21. Closest Point to the Origin
22. Minimum Triangle Area
23. Maximum Surface Area
24. Related Rates (Part I)
25. Related Rates (Part II)
26. Using Newton's Method
27. Mean Value Theorem (Part I)
28. Mean Value Theorem (Part II)
29. Antidiff. With Discontinuity
30. Computing Differentials
31. Linear Approximation With Differentials
32. Computing Antiderivatives
33. Anti-differentiation by Substitution
34. Differential Equation
35. Differential Equation With Graph
36. Summation Notation Practice
37. Riemann Sum
38. Computing the Volume of a Paraboloid
39. Diffusion of a Chemical
40. Definite Integrals of tan(x)
41. Definite Integral by Substitution
42. Applying the Second Fundamental Theorem
43. Second Fundamental Theorem and Chain Rule
44. Second Fundamental Theorem and Quadratic Approximation
45. Area Between the Graphs of Sine and Cosine
46. Area Between y=x^3 and y=3x-2
47. Volume of a Paraboloid via Disks
48. Volume of Revolution via Shells
49. Average Velocity
50. Average x-Coordinate in a Region
51. Explanation of Simpson's Rule
52. Using the Trapezoid and Simpson's Rules
53. Trig Integral Practice
54. Trig Integrals and a Volume of Revolution
55. Integral of tan^4 (theta)
56. Hyperbolic Trig Sub
57. Integration by Completing the Square
58. Partial Fractions Decomposition
59. Finding u and v' When Integrating by Parts
60. Integrating sin^n(x) Using Reduction
61. Arc Length of y=x^(2/3)
62. Surface Area of a Torus
63. Parametric Arclength
64. Polar to Cartesian
65. Graph of r = 1 + cos(theta/2)
66. Integration Practice I
67. Integration Practice II
68. Integration Practice III
69. Integration Practice IV
70. L'Hospital Practice
71. Failure of L'Hospital's Rule
72. Indeterminate Forms
73. A Solid With Finite Volume and Infinite Cross Section
74. Improper Integrals
75. Integral of x^n e^(-x)
76. Limit of a Series
77. Comparison Tests
78. Ratio Test for Convergence
79. Integral Test
80. Integral Test as Estimation
81. Ratio Test: Radius of Convergence
82. Power Series Practice
83. Finding Taylor's Series
84. Taylor's Series of a Polynomial
85. Taylor's Series for sec(x)
86. Integration of Taylor's Series
87. Series Calculation Using a Riemann Sum

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.