1. The continuity of chapter 7 from the first semester: Hyperbolic functions, L’Hospital’s Rule
2. Techniques of Integration: integration by parts, improper integrals
3. Further applications of integration: arc length, area of surface of revolution
4. Differential Equation: direction fields, separable equations, linear equation
5. Parametric equations and polar coordinates: areas and lengths in polar coordinates, conic sections
6. Infinite sequences and series: sequence, series, the integral test, comparison tests, alternating series, absolute convergence
7. Vectors and the geometry of space: dot product, cross product, cylinders and quadric surfaces
8. Vector functions: space curves, derivatives and integral of vector functions
9. Partial derivatives: Functions of several variables, limits and continuity, partial derivatives, maximum and minimum