Math 32B: Integration in Several Variables

Spring 2019

Material: the aim of this course is the to introduce and use the theory of Riemann integral in several variables.

Instructor: Alpár R. Mészáros, MS 5230 (check the e-mail address on my webpage or on CCLE)

Schedule of classes: MWF - 11-11h50AM

Location: Kaplan Hall A51

Office hours: MW, 9h30AM-10h50AM (or by appointment)

TAs: Derek Levinson (MS 3975), Eli Sadovnik (MS 3915E) and Alan Zhou (MS 2350) (check e-mail addresses on CCLE)

Discussion: Tuesdays and Thursdays, 11-11h50AM (check your group)

TAs' office hour: check on CCLE

Textbook: J. Rogawski, C. Adams, Multivariable Calculus, W. H. Freeman & Company, Third Edition, (2015).

Requisites: courses Math 31B and Math 32A, with grades of C- or better.

We will roughly follow the outline set up by the department here




Homeworks will be assigned weekly (i.e. 10 set of problems) and collected at the beginning of the Friday lecture (if Friday is a holiday the collection date is next Monday at the beginning of the lecture). The purpose of the homework exercises is to deepen the notions and the concepts learned during the lectures. Please note that late- or no homeworks will be graded as zero, but the two lowest homework scores will be dropped in the computation of your final grade (see 'Grading' section below). The homework sheets will appear on this webpage, approximately 1 weak before their deadline. There is a possibility to work in groups on the homeworks. In this case, everybody from the group has to submit his/her own homework paper and should write the names of the other students from his/her group on the top of the papers.

Exams: there will be two midterm exams on the fourth and eighth weeks of the instruction period (see the precise dates below) and a written final exam at the end of the quarter. No make-up exams will be provided, a missed exam is graded as zero. You must take the final in order to pass the class!

Grading: the final grade is calculated as follows. I will choose the scheme which gives you higher final score:
10% HG + 40% ((MG1+MG2)/2) + 49% FG + 1%E,
or
10% HG + 25% max(MG1;MG2) + 64% FG + 1%E, where

HG = the average of scores on the homework papers, except the two lowest ones

MG1, MG2 = the scores of the two midterm

FG = the score of the final exam

E = the score if you submit an evaluation for the course at the end (either 100% or 0%)




Date of the first midterm: Friday, April 19, 2019 during the lecture place: Rolfe 1200

Date of the second midterm: Friday, May 17, 2019, during the lecture place: Rolfe 1200

Date of the final exam: Wednesday, June 12, 2019, 8-11AM place: WG Young CS50

Regrading for the homeworks, midterms and final exams should be requested within 2 weeks of their due date and exam date respectively. Any requests after this period will be not taken into consideration.




Homework sheets

Homework 01 - due to Friday, April 5, 2019
Homework 02 - due to Friday, April 12, 2019
Homework 03 - due to Friday, April 19, 2019
Homework 04 - due to Friday, April 26, 2019
Homework 05 - due to Friday, May 3, 2019
Homework 06 - due to Friday, May 10, 2019
Homework 07 - due to Friday, May 17, 2019
Homework 08 - due to Friday, May 24, 2019
Homework 09 - due to Friday, May 31, 2019
Homework 10 - due to Friday, June 7, 2019