7.1   Inverse functions
7.2*  The natural logarithmic function
7.3*  The natural exponential function
7.4*  General logarithmic and exponential functions
7.5   Inverse trigonometric functions
7.6   Hyperbolic functions
7.7   Indeterminate forms and L'Hospital's rule

8.1   Integration by parts
8.2   Trigonometric integrals
8.3   Trigonometric substitution
8.4   Integration of rational functions by partial fractions
8.5   Strategy for integration
8.6   Integration using tables and computer algebra systems
8.7   Approximate integration
8.8   Improper integrals

9.1   Arc length
9.2   Area of a surface of revolution
9.3   Applications to physics and engineering
9.4   Applications to economics and biology
9.5   Probability

10.1  Modeling with differential equations
10.2  Direction fields and Euler's method
10.3  Separable equations
10.4  Exponential growth and decay
10.5  The logistic equation
10.6  Linear equations
10.7  Predator-prey systems

11.1  Curves defined by parametric equations
11.2  Calculus with Parametric Curves
11.3  Polar coordinates
11.4  Areas and lengths in polar coordinates
11.5  Conic sections
11.6  Conic sections in polar coordinates

12.1  Sequences
12.2  Series
12.3  The integral test and estimates of sums
12.4  The comparison tests
12.5  Alternating series
12.6  Absolute convergence and the ratio and root tests
12.7  Strategy for testing series
12.8  Power series
12.9  Representations of functions as power series
12.10 Taylor and Maclaurin series
12.11 The binomial series
12.12 Applications of Taylor polynomials