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 228Bache 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 PM5:30 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 PM6:00 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 realvalued 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 nonuniformly continuous (check notes on Sec 2.2).
Chapter 3: Example 3.2 are particularly important, it is on checking nondifferentiability 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 1:

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 7:309:00pm.
Prelim 2 Schedule:
Time: 7:30PM  9PM on Tuesday, March 28
Location:
Rockefeller Hall 203  ALL SECTIONS
Conflict Prelim Schedule: 56:30pm at Malott 228, Tuesday, March 28
Extended Time Schedule: 710pm 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 2:004:30pm.
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, 7:309 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, 7:309 PM in RCK 203 and RCK 230

Spring break: Sat 04/01 to Sun 04/09

Final Exam:Some time between 05/1505/23.
Announcements:

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