Math 427L: Spring 2022 (53785)

This is the webpage for M427L discussion section. You can find much more information about Professor Rusin's 427L class on the main course webpage.


TA Office hours:

TA office hours are currently being held in-person.

PMA 9.116
Tuesdays, 4pm - 5pm
Wednesdays, 1pm - 2pm

If making it to in-person office hours is a problem for any reason (for example if you are sick and you do not want to come to campus), please email me---I am more than willing to meet with you on Zoom instead.


Notes and handouts

Anything linked here should also be available on the Canvas page for the course (under "Files -> Discussion Section").

January 20, 2022

  1. Calculus Review

  2. Whiteboard

January 25, 2022

  1. Rules for vector operations

  2. Whiteboard

January 27, 2022

  1. Practice problems: vectors and angles

  2. Whiteboard

February 1, 2022

Worksheet: parameterizing planes and lines

February 8, 2022

Quiz 1 | Solutions

February 10, 2022

Worksheet: limits of 2-variable functions

February 15, 2022

Worksheet: limits and partial derivatives

February 17, 2022

Quiz 2 | Solutions

February 22, 2022

Worksheet: the multivariable chain rule

March 1, 2022

Exam review sheet | Solutions (from Emily Nguyen)

March 8, 2022

Worksheet: curves, velocity, and acceleration

March 22, 2022

Worksheet: velocity and arclength of a cycloid

March 24, 2022

Worksheet: gradient, divergence, and curl

March 29, 2022

Worksheet: integration practice and iterated integrals

March 31, 2022

Quiz 3 | Solutions

April 5, 2022

Worksheet: integration over non-rectangular regions

April 7, 2022

Worksheet: the change-of-variables formula

April 12, 2022

Worksheet: integration in different coordinate systems

April 14, 2022

Quiz 4 | Solutions

April 19, 2022

Exam 2 review | Solutions

April 26, 2022

Worksheet: integration over surfaces

April 28, 2022

Integration over surfaces II

May 9, 2022

Final exam review | Solutions