MIDTERM 2:  Wednesday, February 17. Important note: In comparison with Midterm 1, this exam contains topics that are new to most of you. For this reason the exam will appear more challenging than Midterm 1. Please work hard to prepare yourself well. Topics to be tested on Midterm 2 are listed below. The emphasis will be given on applications such as computing mass given density, computing work, etc. That is, you will be expected to interpret the reality using the right kind of integral. Also, you will be expected to apply the background material that already appeared on Midterm 1, that is, the relevant integration techniques. As in Midterm 1, all integrals that will appear on Midterm 2 will have sufficiently simple solutions.  
Added on Feb 14 at 8:35pm: The format of Midterm 2 will be the same as that of Midterm 1: There will be four problems, each worth 10 points.
                           Section 15.1: Vector fields: graphing vector fields, computing flow lines, computing gradients and potential functions. 
                           Section 15.2: Line integrals with respect to the arc length (Type I line integrals) and their applications: computing mass, center of mass, etc. Line integrals for computing work (Type II line integrals) and line integrals with respect to coordinates. Applications in computing work. 
                           Section 15.3: Fundamental theorem on line integrals -- evaluating line integrals for conservative vector fields. Line integrals along a closed piecewise smooth curve.
                           Section 15.4: Green's theorem and one of its applications: Evaluating line integrals using Green's theorem.
PRACTICE PROBLEMS:   The following selection picks one problem from each type you should be able to solve.
Exercises for Section 15.1 (p. 1119): 19, 33, 41
Exercises for Section 15.2 (p. 1134): 3, 9, 18, 23, 27, 34, 35, 51
Exercises for Section 15.3 (p. 1145): 9, 15, 17, 21, 23, 27
Exercises for Section 15.4. (p. 1156): 5, 7, 9, 15