Category Archives: Content

Final Exam

The Final Exam will take place on Saturday 4/25, at 11:00 am. It lasts for 1 hr and 50 minutes.

The final exam covers all the problems from Exams 1,2, and 3, and all the homework problems after Exam 3.

There was only one homework assignment after after Exam 3 (due 4/15) covering sections 15.7 and 15.8. Both sections are important. Please review these problems.

Exam 1, 2 and 3, with solutions, are already posted online.

Please make sure you are arrive at school ahead of time for the final exam.

If you have any questions, please ask now rather than later.

There will be no opportunity to improve your grade after the final exam is over.

Feedback on Exam 3

Feedback for Exam 3- MTH 2410- W 14

There many difficulties with partial derivatives and partial integrals. Need practise for this. E.g find d/dz (e^(yz)/cos(xz)), or the integral of 2x-2y over dy.

Problem 1. You can use the formula dz/dx=-dF/dx/dF/dz.

Problem 1. Observe that 1/cos(xz)=sec(xz).

Problem 2. The answer must be the equation of a plane, not a vector.

Problem 3. Green’s theorem says that the work integral of F over a curve C equals the double integral of dg/dx-df/dy over the region R enclosed by C. Please write an equality with two sides, not just the second double integral.

Problem 4. If the Jacobian is negative, take the absolute value of it.

Feedback for Exam 2

Feedback for Exam 2- MTH 2410- W15.txt

The equation cos(x)=0 has infinitely many solutions because cos(x) is periodic.
You can find the solutions in the interval [0,2*pi] and the rest are translations of these solutions. In particular, cos(x)=0 and x in [0,2*pi], implies x=pi/2 or x=3pi/2. All solutions have the form
x=pi/2+2*pi*k, or x=3pi/2+2*pi*k, where k is any integer number.

Exam 2 on Tuesday 3/10

Dear all,

Exam 2 will take place on Tuesday after the break, 3/10.

It covers all the problems from Exam 1 (see Exam 1 and Solutions at, the homework assignments between Exam 1 (2/4) and yesterday (2/25), plus one more homework assignment on section 13.8 (Maxima and Minima of Functions of Two Variables), which will be due on the same day as Exam 2. There will be a separate announcement for this homework assignment.

The exam problems will be variations of Exam 1 and homework problems. So, please review these problems again.

If you have any questions, please ask on Monday after the break in class.