Chapter 6 Transcendental Functions
6.1   Inverse functions and their derivatives
6.2   Natural logarithms
6.3   The exponential function
6.4   a^x  and  log_a x
6.5   Growth and decay
6.6   L'Hopital's rule
6.7   Relative rates of growth
6.8   Inverse trigonometric functions
6.9   Derivatives of inverse trigonometric functions; integrals
6.10  Hyperbolic functions
6.11  First order differential equations


Chapter 7  Techniques of Integration
7.1   Basic integration formulas
7.2   Integration by parts
7.3   Partial fractions
7.4   Trigonometric substitutions
7.6   Improper integrals


Chapter 8  Infinite Series
8.1   Limits of sequences of numbers
8.2   Theorems for calculating limits of sequences
8.3   Infinite series
8.4   The integral test for series of nonnegative terms
8.5   Comparison tests for series of nonnegative terms
8.6   The ratio and root tests for series of nonnegative terms
8.7   Alternating series, absolute and conditional convergence
8.8   Power series
8.9   Taylor and Maclaurin series
8.10  Convergence of Taylor series; error estimates
8.11  Applications of power series


Chapter 9  Conic Sections, Parametrized Curves, and Polar Coordinates
9.1   Conic sections and quadratic equations
9.2   Classifying conic sections by eccentricity
9.4   Parametrizations of plane curves
9.5   Calculus with parametrized curves
9.6   Polar coordinates
9.8   Polar equations for conic sections
9.9   Integration in polar coordinates