Math 32B: Integration in Several Variables

Winter 2016

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: Boelter 3400

Office hours: Monday, 1h30-3PM (or by appointment)

TAs: Jeremy Brightbill (MS 2344) and Joshuna Keneda (MS 2951) (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.




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 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 midterms on the fourth and eighth weeks of the instruction period (see the precise dates below) and a written final exam at the end. 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. You can chose the scheme which gives you higher final grade:
10% HG + 40% ((MG1+MG2)/2) + 50% FG,
or
10% HG + 25% max(MG1;MG2) + 65% FG, where

HG = the average of the homework grades, except the two lowest ones

MG1, MG2 = the two midterm grades

FG = the grade of the final exam




Date of the first midterm: Wednesday, January 27, 2016, 11-11h50AM place: Perloff 1102 (sections 1A-1B); Boelter 3400 (sections 1C-1D)

Problems Solutions

Date of the second midterm: Wednesday, February 24, 2016, 11-11h50AM place: Perloff 1102 (sections 1C-1D); Boelter 3400 (sections 1A-1B)

Problems Solutions

Date of the final exam: Friday, March 18, 2016, 8-11AM

Regrading for the homeworks, midterms and final 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 1 - due to Friday, January 8, 2016
Homework 2 - due to Friday, January 15, 2016
Homework 3 - due to Friday, January 22, 2016
Homework 4 - due to Friday, January 29, 2016
Homework 5 - due to Friday, February 5, 2016
Homework 6 - due to Friday, February 12, 2016
Homework 7 - due to Friday, February 19, 2016
Homework 8 - due to Friday, February 26, 2016
Homework 9 - due to Friday, March 4, 2016
Homework 10 - due to Friday, March 11, 2016