Vv285 Honors Mathematics III
Sample Exercises for the Second Midterm Exam
The following exercises are sample exercises of a diculty comparable to those found the
actual Second midterm exam. The exam will usually include of 4 to 5 such exercises to be
comp

Vv285 Honors Mathematics III
Sample Exercises for the Final Exam - Solutions
Exercise 1. Denote by H = cfw_(x, y) : y > 0 R2 the upper half-space of R2 and consider
the two vector elds F, G : H R2
F (x, y) = (4x2 + 4y 2 , 8xy ln y),
G(x, y) = (x + xy, xy)

Vv285 Honors Mathematics III
Sample Exercises for the First Midterm Exam
The following exercises are sample exercises of a diculty comparable to those found the
actual rst midterm exam. The exam will usually include of 4 to 5 such exercises to be
complete

Vv285 Honors Mathematics III
Sample Exercises for the Second Midterm Exam
The following exercises are sample exercises of a diculty comparable to those found the
actual Second midterm exam. The exam will usually include of 4 to 5 such exercises to be
comp

Vv285 Honors Mathematics III
Sample Exercises for the First Midterm Exam
The following exercises are sample exercises of a diculty comparable to those found the
actual rst midterm exam. The exam will usually include of 4 to 5 such exercises to be
complete

Vv285 Honors Mathematics III
Sample Exercises for the Final Exam
The following exercises are sample exercises of a diculty comparable to those found the
actual nal exam. The exam will usually include of 4 to 5 such exercises to be completed in
100 minutes