Math 2220 Multivariable Calculus Spring 2017 (LEC 001 and 002)

Course Information

Meeting Times:

Lectures 001: Mon, Wed, and Fri 9:05 AM - 9:55 AM in Malott Hall 253
Lectures 002: Mon, Wed, and Fri 11:15 AM - 12:05 AM in Malott Hall 228-Bache Aud
Discussion sections: Wed afternoon, Click here to see Math 2220 in the university class roster.
- DIS 201: 1:25 PM - 2:15 PM Malott Hall 203
- DIS 202: 2:30 PM - 3:20 PM Malott Hall 203
- DIS 203: 2:30 PM - 3:20 PM Malott Hall 224
- DIS 204: 3:35 PM - 4:25 PM Malott Hall 224
- DIS 205: 3:35 PM - 4:25 PM Malott Hall 203

Instructor (Lec 001): Bo Yang, Email: boyang 'at' math 'dot' cornell 'dot' edu

Office Hours:
- Tue: 10:00 AM - 11:00 AM in Marlott Hall 507
- Or email for an appointment

Instructor (Lec 002): Robert Connelly, Email: connelly 'at' math 'dot' cornell 'dot' edu

Office Hours:
- Tue: 1:15 PM - 2:15 PM in Marlott Hall 433
- Or email for an appointment

TA (DIS 201, 202, and 205): Anwesh Ray, Email: ar2222 'at' cornell 'dot' edu

Office Hours:
- Tue: 3:30 PM-5:30 PM at Malott 218
- Or email for an appointment

TA (DIS 203 and 204): Ian Lizarraga, Email: iml32 'at' cornell 'dot' edu

Office Hours:
- Tue: 4:00 PM-6:00 PM at Rhodes 657
- Or email for an appointment

Description: Math 2220 covers Differential and integral calculus of functions in several variables, line and surface integrals as well as the theorems of Green, Stokes and Gauss. Prerequisite: MATH 2210. Recommended for students who plan to major or minor in mathematics or a related field.

Textbooks

Textbook: Lax and Terrell, Multivariable Calculus with Applications. Book, 2016.

The book is available in print (as a packet) form through the Cornell Store. Not sure if you found the right book? Here is its cover.
A Remark: The book is a the multivariable calculus sequel to Peter Lax and Maria Terrell's single variable calculus text "Calculus with Applications, second edition, Springer 2014". That text is free and available here (you will need a Cornell IP address). It is not a necessary prerequisite, but contains the proofs of some useful theorems about real numbers and real-valued functions of a single variable.
Another textbook reference: Calculus (3rd ed.) by Rogawski is a useful standard reference for multivariable calculus. It includes many worked out examples as well as exercises with solutions.

Resources

Course syllabus (including HWs, Exams, and how final grades will be determined): here.

Lecture notes and HW solutions:

A remark on reading proofs from the textbook, Most of time we emphasize the statement of theorems and concepts involved, and we understand the usefulness of the theorem by working through examples. The details of the proofs of theorems are NOT required. However the following list are exceptions, where the methods of proof are important and we need to be familiar with.:
Chapter 1: Theorem 1.12 and the equality case (U and V are parallel), Theorem 1.13,
Chapter 2: Theorem 2.2 and the equality case (check notes on Sec 2.1 or extra HW1), Linear function is (uniformly) continuous (the paragraph following Def 2.6). A formal proof of uniformly continuous and non-uniformly continuous (check notes on Sec 2.2).
Chapter 3: Example 3.2 are particularly important, it is on checking non-differentiability by Definition 3.1.
Some additional lecture notes:
Notes on Sec 2.1: See here, and more on matrix norm is here.
Notes on Sec 2.2: See here.
Notes on Sec 7.2: See here.
Notes on Chapter 9: See here for lectures notes on Chapter 9.

Practice Prelims:

Prelim 2:
- Prelim 2 Spring 2016 and Solutions
- Prelim 2 Spring 2015 and Solutions
Prelim 1:
- Prelim 1 Spring 2016 and Solutions
- Prelim 1 Fall 2015
HW solutions:
HW 1 solutions posted: See here.
HW 2 solutions posted: See here.
HW 3 solutions posted: See here.
HW 4 solutions posted: See here.
HW 5 solutions posted: See here.
HW 6 solutions posted: See here.
HW 7 solutions posted: See here.
HW 8 solutions posted: See here.
HW 9 solutions posted: See here.
HW 10 solutions posted: See here.
HW 11 solutions posted: See here.
HW 12 solutions posted: See here.
HW 13 solutions posted: See here.

Prelim Solutions:
Prelim 1 Solutions here.
Practice Final:
A selective list of topics for final review here.
Some Past Finals:
See here, and here.
Dec 2006 Solutions and 2014 Solutions
On Prelims and the final:

Prelim 1 was held on Thurs., Feb. 23 at 7:30-9:00pm.

Prelim 2 Schedule:
Time: 7:30PM - 9PM on Tuesday, March 28
Location:
Rockefeller Hall 203 - ALL SECTIONS
Conflict Prelim Schedule: 5-6:30pm at Malott 228, Tuesday, March 28
Extended Time Schedule: 7-10pm at Malott 406, Tuesday, March 28
NOTE: If you have a prelim conflict at the regular time or if you have extended time accommodations from Cornell SDS, let Prof. Connelly know as soon as possible.

Final is on Monday, May 15 at 2:00-4:30pm.

Blackboard site of Math 2220 is here. The site is used to maintain grades and post course announcements.

Course calendar: Please check Math 2220 course calendar regularly. For your convenience, we list some important dates here:

First day of lecture: Wed 01/25
First HW due: Wed 02/01 in discussion
First Quiz: Wed 02/08 in discussion
Last day to add classes:Wed 02/08
Prelim 1:Thu 02/23, 7:30-9 PM in RCK 203 and RCK 230
Feb break: No class on 02/20;
Last day to drop classes: 03/22;
Prelim 2:Tue 03/28, 7:30-9 PM in RCK 203 and RCK 230
Spring break: Sat 04/01 to Sun 04/09
Final Exam:Some time between 05/15-05/23.

Announcements:

(01/23/2016) Welcome, please check here for a general brief introduction to lower-level math courses at Cornell.