Section numbers refer to Finney and Thomas (1990), Calculus, Second Edition, Addison-Wesley.
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Lesson/Section/Topic
  1       3.5     Chain Rule
  2       5.6     Integration by Substitution
  2       5.4     Fundamental Theorems of Calculus
  2       A2     Completing the Square
  3       6.1     a to the x  Functions and the Derivative of  e to the x.
4,5      6.2     Inverse Functions and their Derivatives
  6       6.3     Logarithms
  6       6.3     Derivatives of Logarithms
  7       6.3     The Technique of Logarithmic Differentiation
  8       6.4     exp and log integrals
  9       6.5     Exponential Growth and Decay
10       6.6     L'Hospital's Rule (LHR)
11,12  6.8     Inverse Trigonometric Functions
13,12  6.9     Derivatives of Inverse Trigonometric Functions
15       6.10   Hyperbolic Functions
16       6.11   Separation of Variables in First-Order Differential Equations
17       7.1     Area Between two Curves
18       7.2     Volumes of Revolution: Discs and Washers
19       7.3     Cylindrical Shells (an Alternative to Discs and Washers)
20       7.4     Curve Length and Surface Area
21       8.1     Basic Integration Formulas:    Review and simple tricks! READ SECTION 8.1
22       8.2     Integration by Parts, Part One
23       8.2     Integration by Parts, Part Two
24       8.3     Partial Fraction Expansion
25,26  8.4     Trigonometric Substitution
25,26  8.4     Trigonometric Resubstitution
26       8.4     Trigonometric Integration
27       8.6     Improper Integrals: Discontinuous IntegraNDS
28       8.6     Improper Integrals: Infinite InteRVAL
29       8.6     Improper Integrals: Direct Comparison and Limit Comparison
30       9.1     Sequence Basic Properties  (Including Geometric Sequences)
31       9.1     Sequence Limits by Continuity and L'Hospital's Rule
32       9.2     Infinite Series: Geometric
33       9.2     Infinite Series: Telescoping
34       9.2     Infinite Series: Divergence, Sums, Multiples, and Modification
35       9.3     Series with Nonnegative Terms: Direct Comparison
36       9.3     Series with Nonnegative Terms: Limit Comparison,   Integral Test and p-series
37       9.4     Series with Nonnegative Terms: Root and Ratio Tests
38       9.5     Alternating Series and Truncation Error
39       9.5     Absolute and Conditional Convergence
40       9.6     Deciding Types of Convergence of Power Series
41       9.6     Differentiation and Integration of Power Series
42       9.7     Constructing Taylor Polynomials
43       9.7     Short-cuts to Constructing Series
44       9.7     Taylor's Theorem with Remainder
45       9.8     Calculations with Taylor Series
46      10.5    Polar Coordinates
47      10.6    Polar Graphs